Details

Time bar (total: 1.3s)

sample35.0ms

Algorithm
intervals
Results
9.0ms358×body80nan
8.0ms324×body80valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.5b

localize12.0ms

Local error

Found 2 expressions with local error:

3.4b
(- (* y y) (* z z))
25.2b
(sqrt (- (* y y) (* z z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod add-log-exp
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
sub-neg rem-sqrt-square sqrt-pow1 pow1/2 fma-neg diff-log prod-diff
Counts
2 → 35
Calls
2 calls:
3.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (* y y) (* z z))
52.0ms
(sqrt (- (* y y) (* z z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0135210
1482197
21632194
35001189

prune125.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

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: 0.8b

localize4.0ms

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 (3.0ms)

IterNodesCost
000

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.8b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×sqrt-prod
14×sqrt-div
13×*-un-lft-identity
associate-*r*
pow1 add-cube-cbrt associate-*l*
add-exp-log frac-times flip3-- add-cbrt-cube flip-- unswap-sqr
sqrt-pow1 flip3-+ pow1/2 pow-prod-down flip-+
expm1-log1p-u associate-*r/ associate-*l/ log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out
Counts
2 → 62
Calls
2 calls:
6.0ms
(sqrt (- y z))
21.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(sqrt (- y z))
78.0ms
(* (sqrt (+ y z)) (sqrt (- y z)))

simplify92.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0246443
1784427
23111417
35003415

prune187.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.8b

regimes292.0ms

bsearch11.0ms