Details

Time bar (total: 2.4s)

sample24.0ms

Algorithm
intervals
Results
9.0ms330×body80valid

simplify159.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1294
2654
31284
41744
51894
62064
72554
83504
96254
1013524
1118314
1226184
1337484
1450014

prune3.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.2b
(* (* (- y x) 6.0) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
*-un-lft-identity
add-cube-cbrt associate-*r* associate-*l* associate-*l/
add-log-exp
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip--
+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls
3 calls:
3.0ms
(+ x (* (* (- y x) 6.0) z))
6.0ms
(* (- y x) 6.0)
7.0ms
(* (* (- y x) 6.0) z)

series21.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(+ x (* (* (- y x) 6.0) z))
4.0ms
(* (- y x) 6.0)
8.0ms
(* (* (- y x) 6.0) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0246290
11073249
25001249

prune82.0ms

Filtered
62 candidates to 40 candidates (35.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New56662
Fresh000
Picked011
Done000
Total56763

Merged error: 0.0b

Counts
63 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* 6.0 z)))
0.3b
(* (- y x) (* 6.0 z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity associate-*l*
add-log-exp
add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
associate-*l/
+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ x (* (- y x) (* 6.0 z)))
7.0ms
(* (- y x) (* 6.0 z))

series17.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ x (* (- y x) (* 6.0 z)))
8.0ms
(* (- y x) (* 6.0 z))

simplify103.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0206210
1717179
23878179
35003179

prune52.0ms

Filtered
39 candidates to 24 candidates (38.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New38139
Fresh145
Picked011
Done011
Total39746

Merged error: 0.0b

Counts
46 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (- y x) 6.0) z)
0.3b
(* (sqrt (* (* (- y x) 6.0) z)) (sqrt (* (* (- y x) 6.0) z)))
3.7b
(sqrt (* (* (- y x) 6.0) z))
3.7b
(sqrt (* (* (- y x) 6.0) z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
38×associate-*l/
17×pow-prod-up
16×sqrt-div
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
add-cube-cbrt flip3-- *-un-lft-identity flip--
associate-*r*
sqrt-prod
associate-*l*
frac-times swap-sqr prod-exp cbrt-unprod add-log-exp
associate-*r/ *-commutative
pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 122
Calls
4 calls:
7.0ms
(* (* (- y x) 6.0) z)
16.0ms
(* (sqrt (* (* (- y x) 6.0) z)) (sqrt (* (* (- y x) 6.0) z)))
6.0ms
(sqrt (* (* (- y x) 6.0) z))
6.0ms
(sqrt (* (* (- y x) 6.0) z))

series155.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* (- y x) 6.0) z)
23.0ms
(* (sqrt (* (* (- y x) 6.0) z)) (sqrt (* (* (- y x) 6.0) z)))
61.0ms
(sqrt (* (* (- y x) 6.0) z))
63.0ms
(sqrt (* (* (- y x) 6.0) z))

simplify60.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0310664
11418596
25003564

prune142.0ms

Filtered
134 candidates to 66 candidates (50.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1322134
Fresh134
Picked101
Done022
Total1347141

Merged error: 0b

Counts
141 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt (* (* (- y x) 6.0) z))) (sqrt (sqrt (* (* (- y x) 6.0) z))))
3.7b
(sqrt (* (* (- y x) 6.0) z))
3.7b
(sqrt (* (* (- y x) 6.0) z))
3.7b
(sqrt (* (* (- y x) 6.0) z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
157×pow1
149×sqrt-pow1
82×pow-prod-down
38×associate-*l/
30×sqrt-div
29×sqrt-prod
24×add-sqr-sqrt
23×pow1/2
21×pow-prod-up
13×pow-sqr
12×add-cube-cbrt *-un-lft-identity
flip3-- swap-sqr flip--
associate-*r* associate-*l*
add-exp-log add-cbrt-cube
frac-times add-log-exp unswap-sqr
associate-*r/
pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 138
Calls
4 calls:
23.0ms
(* (sqrt (sqrt (* (* (- y x) 6.0) z))) (sqrt (sqrt (* (* (- y x) 6.0) z))))
6.0ms
(sqrt (* (* (- y x) 6.0) z))
6.0ms
(sqrt (* (* (- y x) 6.0) z))
7.0ms
(sqrt (* (* (- y x) 6.0) z))

series241.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (sqrt (sqrt (* (* (- y x) 6.0) z))) (sqrt (sqrt (* (* (- y x) 6.0) z))))
60.0ms
(sqrt (* (* (- y x) 6.0) z))
58.0ms
(sqrt (* (* (- y x) 6.0) z))
61.0ms
(sqrt (* (* (- y x) 6.0) z))

simplify47.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0244861
1909811
25001754

prune188.0ms

Filtered
150 candidates to 75 candidates (50.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1500150
Fresh044
Picked011
Done022
Total1507157

Merged error: 0b

Counts
157 → 7

regimes246.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample617.0ms

Algorithm
intervals
Results
271.0ms10100×body80valid

Profiling

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