Details

Time bar (total: 1.4s)

sample36.0ms

Algorithm
intervals
Results
10.0ms316×body80valid
7.0ms286×body80nan

simplify88.0ms

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)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
sqrt-prod
add-cube-cbrt *-un-lft-identity associate-*r*
pow1
add-exp-log add-cbrt-cube add-log-exp
sqrt-div
expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u difference-of-squares
associate-*r/ unswap-sqr
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:
29.0ms
(* x (sqrt (- (* y y) (* z z))))
8.0ms
(- (* y y) (* z z))
11.0ms
(sqrt (- (* y y) (* z z)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(* x (sqrt (- (* y y) (* z z))))
32.0ms
(- (* y y) (* z z))
46.0ms
(sqrt (- (* y y) (* z z)))

simplify80.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune169.0ms

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)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod add-log-exp
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
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)))
14.0ms
(sqrt (- (* y y) (* z z)))

series162.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* y y) (* z z))
31.0ms
(- (* y y) (* z z))
45.0ms
(sqrt (- (* y y) (* z z)))
50.0ms
(sqrt (- (* y y) (* z z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0135420
1482394
21632388
35001378

prune228.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize3.0ms

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 (1.0ms)

IterNodesCost
000

prune3.0ms

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

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes314.0ms

bsearch21.0ms