Details

Time bar (total: 3.9s)

sample30.0ms

Algorithm
intervals
Results
7.0ms276×body80valid
7.0ms284×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.3b
(* y (sqrt z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ x (* y (sqrt z)))
5.0ms
(* y (sqrt z))

series74.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ x (* y (sqrt z)))
43.0ms
(* y (sqrt z))

simplify114.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0219188
1829168
23837161
35002161

prune96.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
9.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series382.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(sqrt (sqrt z))
128.0ms
(sqrt (sqrt z))
79.0ms
(* y (sqrt (sqrt z)))
44.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0336516
11470454
25002427

prune221.0ms

Filtered
100 candidates to 59 candidates (59.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
0.1b
(sqrt (sqrt z))
0.2b
(* y (pow z 1/4))
0.3b
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-sqr-sqrt sqrt-prod
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
8×pow1
6×add-log-exp
4×unpow-prod-down sqrt-pow1 associate-*l* cbrt-unprod
3×unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative sqr-pow
1×+-commutative flip3-+ pow-prod-down sum-log flip-+
Counts
4 → 80
Calls
4 calls:
3.0ms
(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
2.0ms
(sqrt (sqrt z))
5.0ms
(* y (pow z 1/4))
8.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series338.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
133.0ms
(sqrt (sqrt z))
64.0ms
(* y (pow z 1/4))
82.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0477564
12149507
25001507

prune234.0ms

Filtered
92 candidates to 62 candidates (67.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series729.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt z) (cbrt z))
174.0ms
(cbrt z)
179.0ms
(cbrt z)
174.0ms
(cbrt z)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune336.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample811.0ms

Algorithm
intervals
Results
232.0ms8538×body80valid
219.0ms8527×body80nan