Details

Time bar (total: 1.6s)

sample36.0ms

Algorithm
intervals
Results
9.0ms362×body80nan
9.0ms332×body80valid

simplify106.0ms

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: 30.2b

localize8.0ms

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)))

rewrite21.0ms

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:
12.0ms
(* x (sqrt (- (* y y) (* z z))))
3.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(* x (sqrt (- (* y y) (* z z))))
34.0ms
(- (* y y) (* z z))
56.0ms
(sqrt (- (* y y) (* z z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune190.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify5.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite45.0ms

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:
6.0ms
(sqrt (- y z))
11.0ms
(* x (sqrt (+ y z)))
25.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series261.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(sqrt (- y z))
74.0ms
(* x (sqrt (+ y z)))
113.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0415568
11649516
25001498

prune228.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes316.0ms

bsearch9.0ms