Details

Time bar (total: 4.8s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
6.0ms256×pre80true

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
2116
done116

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (- 1.0 (* e e)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 *-un-lft-identity sqrt-div add-cube-cbrt
rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 add-exp-log flip-- add-log-exp difference-of-squares
Counts
1 → 16
Calls
1 calls:
11.0ms
(sqrt (- 1.0 (* e e)))

series130.0ms

Counts
1 → 3
Calls
1 calls:
130.0ms
(sqrt (- 1.0 (* e e)))

simplify730.0ms

Counts
19 → 19
Iterations

Useful iterations: done (729.0ms)

IterNodesCost
067246
1164220
2706206
done5000202

prune112.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 1/8 (/ (pow e 4) (pow (sqrt 1.0) 3)))
0.0b
(* 1/2 (/ (pow e 2) (sqrt 1.0)))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
182×associate-*r*
174×add-sqr-sqrt
128×unpow-prod-down
105×*-un-lft-identity add-cube-cbrt
76×sqrt-prod
48×cube-prod
42×sqr-pow
35×add-exp-log
28×unswap-sqr
14×prod-exp
12×add-cbrt-cube div-exp
unpow2
cube-mult pow-to-exp unpow3 pow-exp
pow1 associate-*l*
cbrt-unprod
cbrt-undiv pow-prod-down associate-*r/ *-commutative div-inv add-log-exp
Counts
2 → 254
Calls
2 calls:
120.0ms
(* 1/8 (/ (pow e 4) (pow (sqrt 1.0) 3)))
58.0ms
(* 1/2 (/ (pow e 2) (sqrt 1.0)))

series424.0ms

Counts
2 → 6
Calls
2 calls:
288.0ms
(* 1/8 (/ (pow e 4) (pow (sqrt 1.0) 3)))
136.0ms
(* 1/2 (/ (pow e 2) (sqrt 1.0)))

simplify912.0ms

Counts
260 → 260
Iterations

Useful iterations: done (898.0ms)

IterNodesCost
03843582
110792925
done50002646

prune1.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01722
12022
done2022

end0.0ms

sample897.0ms

Algorithm
intervals
Results
417.0ms8000×body80valid
229.0ms8000×pre80true