Details

Time bar (total: 1.2s)

sample32.0ms

Algorithm
intervals
Results
8.0ms333×body80valid
8.0ms315×body80nan

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
1.4b
(- (* y y) (* z z))
23.3b
(sqrt (- (* y y) (* z z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×sqrt-prod
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×pow1
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u difference-of-squares
2×associate-*r/ unswap-sqr
1×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:
7.0ms
(* x (sqrt (- (* y y) (* z z))))
7.0ms
(- (* y y) (* z z))
4.0ms
(sqrt (- (* y y) (* z z)))

series160.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* x (sqrt (- (* y y) (* z z))))
32.0ms
(- (* y y) (* z z))
47.0ms
(sqrt (- (* y y) (* z z)))

simplify85.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune178.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New67471
Fresh000
Picked101
Done000
Total68472

Merged error: 0b

Counts
72 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (sqrt (* (+ y z) (- y z))))
23.3b
(sqrt (* (+ y z) (- y z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
12×associate-*r/
8×frac-times
7×pow1
6×add-sqr-sqrt flip3-- flip3-+ flip-- flip-+
4×add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l/ add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sqrt-pow1 pow-prod-down sqrt-prod log1p-expm1-u add-log-exp
1×pow1/2 prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 50
Calls
2 calls:
11.0ms
(* x (sqrt (* (+ y z) (- y z))))
10.0ms
(sqrt (* (+ y z) (- y z)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(* x (sqrt (* (+ y z) (- y z))))
64.0ms
(sqrt (* (+ y z) (- y z)))

simplify94.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0214364
1916351
23918351
35001351

prune148.0ms

Filtered
56 candidates to 45 candidates (80.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New55156
Fresh123
Picked011
Done000
Total56460

Merged error: 0b

Counts
60 → 4

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

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0b

Counts
4 → 4

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

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0b

Counts
4 → 4

regimes129.0ms

bsearch8.0ms