Details

Time bar (total: 4.0s)

sample31.0ms

Algorithm
intervals
Results
8.0ms274×body80valid
7.0ms260×body80nan

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

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: 0.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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))

series83.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* y (sqrt z)))
49.0ms
(* y (sqrt z))

simplify131.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0219188
1829168
23837161
35002161

prune106.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New31839
Fresh000
Picked011
Done000
Total31940

Merged error: 0.0b

Counts
40 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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)))
10.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series439.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(sqrt (sqrt z))
146.0ms
(sqrt (sqrt z))
89.0ms
(* y (sqrt (sqrt z)))
49.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0336516
11470454
25002427

prune238.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh437
Picked101
Done011
Total1018109

Merged error: 0b

Counts
109 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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))
9.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series384.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
143.0ms
(sqrt (sqrt z))
73.0ms
(* y (pow z 1/4))
101.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0477564
12149507
25001507

prune240.0ms

Filtered
92 candidates to 62 candidates (67.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh066
Picked011
Done011
Total928100

Merged error: 0b

Counts
100 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z)))) (sqrt (sqrt z)))
0.3b
(* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z))))
0.6b
(cbrt (sqrt z))
0.6b
(cbrt (sqrt z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
21×associate-*r*
18×pow1 add-exp-log cbrt-prod add-cbrt-cube
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 82
Calls
4 calls:
12.0ms
(* (* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z)))) (sqrt (sqrt z)))
8.0ms
(* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z))))
2.0ms
(cbrt (sqrt z))
2.0ms
(cbrt (sqrt z))

series591.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z)))) (sqrt (sqrt z)))
127.0ms
(* (* (fabs (cbrt (sqrt z))) y) (sqrt (cbrt (sqrt z))))
167.0ms
(cbrt (sqrt z))
164.0ms
(cbrt (sqrt z))

simplify76.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0386879
12002769
25001740

prune267.0ms

Filtered
94 candidates to 61 candidates (64.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh055
Picked011
Done022
Total948102

Merged error: 0b

Counts
102 → 8

regimes272.0ms

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

sample890.0ms

Algorithm
intervals
Results
272.0ms8492×body80valid
244.0ms8538×body80nan