Details

Time bar (total: 2.1s)

sample50.0ms

Algorithm
intervals
Results
17.0ms333×body80valid
15.0ms330×body80nan

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
2.8b
(- (* y y) (* z z))
26.0b
(sqrt (- (* y y) (* z z)))

rewrite20.0ms

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:
11.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* x (sqrt (- (* y y) (* z z))))
30.0ms
(- (* y y) (* z z))
47.0ms
(sqrt (- (* y y) (* z z)))

simplify79.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune165.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

26.0b
(sqrt (* (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z)))))
26.9b
(cbrt (- (* y y) (* z z)))
26.9b
(cbrt (- (* y y) (* z z)))
26.9b
(cbrt (- (* y y) (* z z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×sqrt-div
24×pow1
15×sqrt-pow1
14×associate-*l/
12×cbrt-prod pow1/3
pow-prod-up
associate-*r/
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow-plus
pow-prod-down
add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-sqr difference-of-squares
pow2
pow1/2 pow3 sqrt-prod
Counts
4 → 100
Calls
4 calls:
35.0ms
(sqrt (* (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z)))))
4.0ms
(cbrt (- (* y y) (* z z)))
2.0ms
(cbrt (- (* y y) (* z z)))
2.0ms
(cbrt (- (* y y) (* z z)))

series378.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(sqrt (* (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z)))))
109.0ms
(cbrt (- (* y y) (* z z)))
114.0ms
(cbrt (- (* y y) (* z z)))
111.0ms
(cbrt (- (* y y) (* z z)))

simplify141.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
03181604
17331563
229091543
350011465

prune474.0ms

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

regimes334.0ms

bsearch91.0ms