Details

Time bar (total: 1.4s)

sample37.0ms

Algorithm
intervals
Results
12.0ms332×body80valid
8.0ms310×body80nan

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1225
2395
3715
41675
52985
65455
721425
850015

prune3.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (sqrt (- (* y y) (* z z))))
3.4b
(- (* y y) (* z z))
22.9b
(sqrt (- (* y y) (* z z)))

rewrite18.0ms

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:
8.0ms
(* x (sqrt (- (* y y) (* z z))))
4.0ms
(- (* y y) (* z z))
5.0ms
(sqrt (- (* y y) (* z z)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(* x (sqrt (- (* y y) (* z z))))
34.0ms
(- (* y y) (* z z))
57.0ms
(sqrt (- (* y y) (* z z)))

simplify100.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0202397
1786374
23192368
35001364

prune173.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New68371
Fresh000
Picked011
Done000
Total68472

Merged error: 0.3b

Counts
72 → 4

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 (2.0ms)

IterNodesCost
000

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.3b

Counts
4 → 4

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 (3.0ms)

IterNodesCost
000

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.3b

Counts
4 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×associate-*r*
14×sqrt-div
13×add-sqr-sqrt
11×*-un-lft-identity
10×associate-*r/ sqrt-prod
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt
4×frac-times flip3-+ associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+
3×flip3-- flip--
2×expm1-log1p-u associate-*l/ *-commutative log1p-expm1-u add-log-exp unswap-sqr
1×distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
2 → 60
Calls
2 calls:
12.0ms
(* x (sqrt (+ y z)))
14.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

series178.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* x (sqrt (+ y z)))
112.0ms
(* (* x (sqrt (+ y z))) (sqrt (- y z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0356465
11509421
25001408

prune152.0ms

Filtered
66 candidates to 46 candidates (69.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New65166
Fresh000
Picked011
Done033
Total65570

Merged error: 0.3b

Counts
70 → 5

regimes320.0ms

bsearch9.0ms