Details

Time bar (total: 1.7s)

sample37.0ms

Algorithm
intervals
Results
10.0ms273×body80nan
9.0ms317×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.6b
(- (* y y) (* z z))
23.9b
(sqrt (- (* y y) (* z z)))

rewrite23.0ms

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)))

series179.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(* x (sqrt (- (* y y) (* z z))))
35.0ms
(- (* y y) (* z z))
58.0ms
(sqrt (- (* y y) (* z z)))

simplify97.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune200.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

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

prune5.0ms

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

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×sqrt-prod
17×*-un-lft-identity
16×sqrt-div
pow1 add-cube-cbrt
associate-*r*
associate-*l*
add-exp-log add-cbrt-cube
frac-times flip3-- sqrt-pow1 flip3-+ pow1/2 flip-- flip-+ unswap-sqr
expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
rem-sqrt-square associate-*r/ associate-*l/ distribute-lft-out distribute-lft-out-- difference-of-squares
sqrt-unprod prod-exp *-commutative cbrt-unprod hypot-def
Counts
3 → 81
Calls
3 calls:
6.0ms
(sqrt (+ y z))
6.0ms
(sqrt (- y z))
27.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series196.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(sqrt (+ y z))
69.0ms
(sqrt (- y z))
80.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0252538
1790513
23117498
35003495

prune252.0ms

Filtered
90 candidates to 65 candidates (72.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes303.0ms

bsearch102.0ms