Details

Time bar (total: 2.3s)

sample51.0ms

Algorithm
intervals
Results
20.0ms315×body80valid
14.0ms280×body80nan

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.0b
(- (* y y) (* z z))
22.5b
(sqrt (- (* y y) (* z z)))

rewrite21.0ms

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:
11.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series174.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(* x (sqrt (- (* y y) (* z z))))
34.0ms
(- (* y y) (* z z))
55.0ms
(sqrt (- (* y y) (* z z)))

simplify95.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune191.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

2.0b
(- (* y y) (* z z))
2.0b
(- (* y y) (* z z))
22.5b
(sqrt (- (* y y) (* z z)))
22.5b
(sqrt (- (* y y) (* z z)))

rewrite17.0ms

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:
3.0ms
(- (* y y) (* z z))
3.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))
5.0ms
(sqrt (- (* y y) (* z z)))

series180.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* y y) (* z z))
39.0ms
(- (* y y) (* z z))
50.0ms
(sqrt (- (* y y) (* z z)))
55.0ms
(sqrt (- (* y y) (* z z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0135420
1482394
21632388
35001378

prune280.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

2.0b
(- (* y y) (* z z))
22.5b
(sqrt (- (* y y) (* z z)))
22.5b
(sqrt (- (* y y) (* z z)))
22.5b
(sqrt (- (* y y) (* z z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×sqrt-prod
10×add-sqr-sqrt
7×pow1 add-cube-cbrt *-un-lft-identity
6×sqrt-div add-log-exp
4×add-exp-log expm1-log1p-u flip3-- add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
3×rem-sqrt-square sqrt-pow1 pow1/2
1×sub-neg fma-neg diff-log prod-diff
Counts
4 → 71
Calls
4 calls:
3.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))
4.0ms
(sqrt (- (* y y) (* z z)))
5.0ms
(sqrt (- (* y y) (* z z)))

series199.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* y y) (* z z))
50.0ms
(sqrt (- (* y y) (* z z)))
56.0ms
(sqrt (- (* y y) (* z z)))
52.0ms
(sqrt (- (* y y) (* z z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0135436
1482417
21632414
35001407

prune293.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.2b

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 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.2b

regimes414.0ms

bsearch54.0ms