Details

Time bar (total: 2.0s)

sample53.0ms

Algorithm
intervals
Results
17.0ms362×body80nan
16.0ms332×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.6b
(- (* y y) (* z z))
29.8b
(sqrt (- (* y y) (* z z)))

rewrite24.0ms

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:
15.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(* x (sqrt (- (* y y) (* z z))))
6.0ms
(- (* y y) (* z z))
7.0ms
(sqrt (- (* y y) (* z z)))

simplify86.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune400.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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

prune9.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

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 (2.0ms)

IterNodesCost
000

prune6.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- y z))
0.1b
(* x (sqrt (+ y z)))
0.2b
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×sqrt-div
15×*-un-lft-identity associate-*r* sqrt-prod
11×pow1
10×add-exp-log associate-*r/ add-cbrt-cube
add-cube-cbrt
frac-times flip3-- flip3-+ associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod flip-+
expm1-log1p-u log1p-expm1-u add-log-exp
associate-*l/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
rem-sqrt-square sqrt-pow1 pow1/2 distribute-lft-out
Counts
3 → 79
Calls
3 calls:
5.0ms
(sqrt (- y z))
12.0ms
(* x (sqrt (+ y z)))
28.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series44.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(sqrt (- y z))
13.0ms
(* x (sqrt (+ y z)))
24.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0415568
11649516
25001498

prune504.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes633.0ms

bsearch10.0ms