Details

Time bar (total: 3.3s)

sample387.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 6.451416%

Guaranteed chance to sample good point: 92.989496%

Results
7.0ms256×body80valid
1.0ms40×body80invalid

simplify212.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1344
2844
32064
44064
55404
67064
79574
814584
923844
1033754
1137624
1243764
1350024

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.6b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 y) z)
10.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune64.0ms

Filtered
33 candidates to 52 candidates (-57.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New48452
Fresh000
Picked011
Done000
Total48553

Merged error: 0.0b

Counts
53 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.0b
(* (* x z) (- y 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms
(* (* x z) (- y 1.0))

series21.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
10.0ms
(* (* x z) (- y 1.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0257266
11177224
25002219

prune65.0ms

Filtered
30 candidates to 47 candidates (-56.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New44347
Fresh033
Picked011
Done011
Total44852

Merged error: 0.0b

Counts
52 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.6b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.5b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
5.0ms
(cbrt (- y 1.0))
3.0ms
(cbrt (- y 1.0))
19.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
14.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series56.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (- y 1.0))
7.0ms
(cbrt (- y 1.0))
12.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
29.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify74.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06641639
125771433
250021371

prune240.0ms

Filtered
77 candidates to 130 candidates (-68.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1282130
Fresh055
Picked101
Done022
Total1299138

Merged error: 0b

Counts
138 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 y) z)
0.1b
(pow (* (- 1.0 y) z) 3)
3.6b
(* x (- 1.0 (cbrt (pow (* (- 1.0 y) z) 3))))
36.2b
(cbrt (pow (* (- 1.0 y) z) 3))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
14×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×cbrt-prod add-cube-cbrt associate-*r*
8×associate-*l*
6×associate-*l/
4×cube-div flip3-- flip-- add-log-exp difference-of-squares
3×pow-unpow pow-prod-down prod-exp cbrt-unprod sqr-pow
2×distribute-rgt-in cube-mult sub-neg unpow-prod-down cbrt-div pow-pow distribute-lft-in unpow3 cube-prod associate-*r/ pow-exp *-commutative distribute-lft-out-- rem-cube-cbrt unswap-sqr
1×pow-to-exp pow1/3 rem-cbrt-cube
Counts
4 → 93
Calls
4 calls:
6.0ms
(* (- 1.0 y) z)
6.0ms
(pow (* (- 1.0 y) z) 3)
8.0ms
(* x (- 1.0 (cbrt (pow (* (- 1.0 y) z) 3))))
3.0ms
(cbrt (pow (* (- 1.0 y) z) 3))

series42.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (- 1.0 y) z)
8.0ms
(pow (* (- 1.0 y) z) 3)
22.0ms
(* x (- 1.0 (cbrt (pow (* (- 1.0 y) z) 3))))
7.0ms
(cbrt (pow (* (- 1.0 y) z) 3))

simplify61.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0396552
11823495
25002494

prune132.0ms

Filtered
70 candidates to 105 candidates (-50.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh066
Picked011
Done022
Total1059114

Merged error: 0b

Counts
114 → 9

regimes707.0ms

Accuracy

44.1% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03226
13226

end0.0ms

sample915.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 6.451416%

Guaranteed chance to sample good point: 92.989496%

Results
231.0ms8000×body80valid
42.0ms1423×body80invalid

Profiling

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