Details

Time bar (total: 1.4s)

sample34.0ms

Algorithm
intervals
Results
8.0ms316×body80valid
6.0ms286×body80nan

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.8b
(- (* y y) (* z z))
28.1b
(sqrt (- (* y y) (* z z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×sqrt-prod
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×pow1
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u difference-of-squares
2×associate-*r/ unswap-sqr
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
3 → 62
Calls
3 calls:
30.0ms
(* x (sqrt (- (* y y) (* z z))))
8.0ms
(- (* y y) (* z z))
11.0ms
(sqrt (- (* y y) (* z z)))

series135.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* x (sqrt (- (* y y) (* z z))))
30.0ms
(- (* y y) (* z z))
40.0ms
(sqrt (- (* y y) (* z z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune170.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

2.8b
(- (* y y) (* z z))
2.8b
(- (* y y) (* z z))
28.1b
(sqrt (- (* y y) (* z z)))
28.1b
(sqrt (- (* y y) (* z z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt sqrt-prod add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff
Counts
4 → 70
Calls
4 calls:
8.0ms
(- (* y y) (* z z))
8.0ms
(- (* y y) (* z z))
11.0ms
(sqrt (- (* y y) (* z z)))
11.0ms
(sqrt (- (* y y) (* z z)))

series143.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (* y y) (* z z))
30.0ms
(- (* y y) (* z z))
40.0ms
(sqrt (- (* y y) (* z z)))
45.0ms
(sqrt (- (* y y) (* z z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0135420
1482394
21632388
35001378

prune239.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune4.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes324.0ms

bsearch22.0ms