Details

Time bar (total: 4.2s)

sample46.0ms

Algorithm
intervals
Results
12.0ms269×body80nan
9.0ms274×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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))

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:
2.0ms
(+ x (* y (sqrt z)))
5.0ms
(* y (sqrt z))

series14.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ x (* y (sqrt z)))
6.0ms
(* y (sqrt z))

simplify105.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune143.0ms

Filtered
39 candidates to 30 candidates (23.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New33639
Fresh000
Picked011
Done000
Total33740

Merged error: 0.0b

Counts
40 → 7

localize12.0ms

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)))

rewrite20.0ms

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)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt z))
14.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
6.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0317517
11370467
25002423

prune447.0ms

Filtered
100 candidates to 58 candidates (42.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh235
Picked101
Done011
Total998107

Merged error: 0.0b

Counts
107 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
20×add-sqr-sqrt
19×add-exp-log
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
8×pow1
6×add-log-exp
4×sqrt-pow1 associate-*l* cbrt-unprod
3×unpow-prod-down unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative
1×+-commutative flip3-+ pow-prod-down sum-log flip-+ sqr-pow
Counts
4 → 80
Calls
4 calls:
2.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
7.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))

series50.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
14.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
14.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))

simplify55.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0462594
12002548
25002527

prune498.0ms

Filtered
92 candidates to 59 candidates (35.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh156
Picked011
Done011
Total928100

Merged error: 0.0b

Counts
100 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt (sqrt z)))
0.2b
(* y (sqrt (sqrt (sqrt z))))
0.3b
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))
0.4b
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
33×associate-*r*
30×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
9×sqrt-pow1
5×associate-*l*
4×add-log-exp unswap-sqr
3×rem-sqrt-square pow1/2 *-commutative
Counts
4 → 109
Calls
4 calls:
3.0ms
(sqrt (sqrt (sqrt z)))
7.0ms
(* y (sqrt (sqrt (sqrt z))))
15.0ms
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))
12.0ms
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt (sqrt z)))
12.0ms
(* y (sqrt (sqrt (sqrt z))))
6.0ms
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))
10.0ms
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify60.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0481926
12312768
25001676

prune829.0ms

Filtered
121 candidates to 66 candidates (45.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1201121
Fresh145
Picked011
Done022
Total1218129

Merged error: 0b

Counts
129 → 8

regimes558.0ms

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

sample1.1s

Algorithm
intervals
Results
288.0ms8476×body80valid
255.0ms8288×body80nan

Profiling

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