Details

Time bar (total: 3.8s)

sample35.0ms

Algorithm
intervals
Results
11.0ms273×body80valid
9.0ms259×body80nan

simplify16.0ms

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

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

rewrite9.0ms

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))

series72.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ x (* y (sqrt z)))
42.0ms
(* y (sqrt z))

simplify114.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0219188
1829168
23837161
35002161

prune86.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New33639
Fresh000
Picked011
Done000
Total33740

Merged error: 0.0b

Counts
40 → 7

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)))

rewrite22.0ms

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))
7.0ms
(* y (sqrt (sqrt z)))
9.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series378.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(sqrt (sqrt z))
126.0ms
(sqrt (sqrt z))
78.0ms
(* y (sqrt (sqrt z)))
43.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0336516
11470454
25002427

prune189.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh055
Picked011
Done011
Total998107

Merged error: 0.0b

Counts
107 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
61×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×sqrt-pow1 add-log-exp unswap-sqr
3×*-commutative
2×rem-sqrt-square pow1/2
Counts
4 → 103
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
8.0ms
(* y (sqrt (sqrt (sqrt z))))
12.0ms
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
19.0ms
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

series331.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(sqrt (sqrt z))
85.0ms
(* y (sqrt (sqrt (sqrt z))))
77.0ms
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
38.0ms
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0468872
12301702
25001630

prune218.0ms

Filtered
115 candidates to 64 candidates (55.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1141115
Fresh145
Picked011
Done022
Total1158123

Merged error: 0.0b

Counts
123 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.2b
(* y (pow (sqrt (sqrt (sqrt z))) 3))
0.3b
(* (* y (pow (sqrt (sqrt (sqrt z))) 3)) (sqrt (sqrt (sqrt z))))
0.8b
(pow (sqrt (sqrt (sqrt z))) 3)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
112×sqrt-prod
50×add-sqr-sqrt
42×associate-*r*
29×add-cube-cbrt *-un-lft-identity
28×unpow-prod-down cube-prod
20×add-exp-log
13×sqrt-pow1
12×pow1 add-cbrt-cube
10×prod-exp unswap-sqr
7×pow-pow
5×pow1/2
4×associate-*l* cbrt-unprod add-log-exp
3×pow-to-exp pow-unpow pow-exp sqr-pow
2×cube-mult rem-sqrt-square unpow3 *-commutative
1×pow-prod-down sqrt-pow2 rem-cube-cbrt
Counts
4 → 150
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
12.0ms
(* y (pow (sqrt (sqrt (sqrt z))) 3))
13.0ms
(* (* y (pow (sqrt (sqrt (sqrt z))) 3)) (sqrt (sqrt (sqrt z))))
6.0ms
(pow (sqrt (sqrt (sqrt z))) 3)

series479.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(sqrt (sqrt z))
116.0ms
(* y (pow (sqrt (sqrt (sqrt z))) 3))
38.0ms
(* (* y (pow (sqrt (sqrt (sqrt z))) 3)) (sqrt (sqrt (sqrt z))))
190.0ms
(pow (sqrt (sqrt (sqrt z))) 3)

simplify96.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
05501144
12686958
25002897

prune271.0ms

Filtered
162 candidates to 74 candidates (45.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1602162
Fresh134
Picked101
Done033
Total1628170

Merged error: 0b

Counts
170 → 8

regimes265.0ms

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

sample1.0s

Algorithm
intervals
Results
345.0ms8570×body80valid
308.0ms8597×body80nan

Profiling

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