Details

Time bar (total: 3.5s)

sample35.0ms

Algorithm
intervals
Results
10.0ms276×body80valid
9.0ms286×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

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: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (sqrt z))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
associate-*r*
add-cube-cbrt *-un-lft-identity sqrt-prod
pow1 add-exp-log associate-*l* add-cbrt-cube
unswap-sqr
pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
5.0ms
(* y (sqrt z))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* y (sqrt z))

simplify88.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0148113
1603100
2285094
3500194

prune57.0ms

Filtered
25 candidates to 16 candidates (64.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh000
Picked011
Done000
Total20626

Merged error: 0.0b

Counts
26 → 6

localize9.0ms

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)))

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
sqrt-pow1
rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
unswap-sqr
*-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:
133.0ms
(sqrt (sqrt z))
127.0ms
(sqrt (sqrt z))
78.0ms
(* y (sqrt (sqrt z)))
43.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0336516
11470454
25002427

prune196.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New955100
Fresh134
Picked101
Done011
Total979106

Merged error: 0b

Counts
106 → 9

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×sqrt-prod
18×add-exp-log add-sqr-sqrt
16×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×prod-exp add-cbrt-cube
pow1
unpow-prod-down sqrt-pow1 associate-*l* cbrt-unprod
add-log-exp unswap-sqr
pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative sqr-pow
pow-prod-down
Counts
3 → 69
Calls
3 calls:
2.0ms
(sqrt (sqrt z))
5.0ms
(* y (pow z 1/4))
7.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series269.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(sqrt (sqrt z))
61.0ms
(* y (pow z 1/4))
80.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0400428
11885380
25001368

prune341.0ms

Filtered
78 candidates to 49 candidates (62.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh077
Picked011
Done011
Total78987

Merged error: 0b

Counts
87 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
69×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
23×pow1
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
sqrt-pow1
associate-*l*
add-log-exp
rem-sqrt-square pow1/2 *-commutative unswap-sqr
Counts
4 → 108
Calls
4 calls:
3.0ms
(sqrt (sqrt (sqrt z)))
18.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
6.0ms
(* y (sqrt (sqrt z)))
11.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(sqrt (sqrt (sqrt z)))
39.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
78.0ms
(* y (sqrt (sqrt z)))
110.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

simplify69.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0478919
12380763
25002680

prune239.0ms

Filtered
120 candidates to 68 candidates (56.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1182120
Fresh336
Picked011
Done022
Total1218129

Merged error: 0b

Counts
129 → 8

regimes248.0ms

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

sample939.0ms

Algorithm
intervals
Results
305.0ms8541×body80valid
286.0ms8541×body80nan

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