Details

Time bar (total: 3.4s)

sample388.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 6.451416%

Guaranteed chance to sample good point: 92.989496%

Results
10.0ms256×body80valid
1.0ms30×body80invalid

simplify216.0ms

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: 4.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
4.3b
(* 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)))

simplify90.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune66.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

1.5b
(* (* x z) (- y 1.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
7.0ms
(* (* x z) (- y 1.0))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* (* x z) (- y 1.0))

simplify95.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0173138
1826113
24381113
35001113

prune47.0ms

Filtered
16 candidates to 29 candidates (-81.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New26329
Fresh033
Picked011
Done011
Total26834

Merged error: 0.0b

Counts
34 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.5b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
1.1b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
41×pow1
40×flip3-- flip--
38×cbrt-prod
36×add-exp-log frac-times
35×add-sqr-sqrt
33×*-un-lft-identity
23×pow-prod-down
22×prod-exp cbrt-unprod
21×add-cbrt-cube
18×associate-*l/
17×associate-*r*
15×add-cube-cbrt
10×swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 159
Calls
4 calls:
3.0ms
(cbrt (- y 1.0))
10.0ms
(* (cbrt (- y 1.0)) (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))))

series61.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(cbrt (- y 1.0))
10.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
12.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
32.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify97.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07891993
133251768
250011670

prune302.0ms

Filtered
95 candidates to 171 candidates (-80.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1692171
Fresh145
Picked011
Done022
Total1709179

Merged error: 0.0b

Counts
179 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (* x z) (- y 1.0))
5.5b
(cbrt (* (* x z) (- y 1.0)))
5.5b
(cbrt (* (* x z) (- y 1.0)))
5.5b
(cbrt (* (* x z) (- y 1.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
7×add-sqr-sqrt *-un-lft-identity
6×cbrt-div
5×add-cube-cbrt associate-*r*
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 59
Calls
4 calls:
7.0ms
(* (* x z) (- y 1.0))
5.0ms
(cbrt (* (* x z) (- y 1.0)))
5.0ms
(cbrt (* (* x z) (- y 1.0)))
5.0ms
(cbrt (* (* x z) (- y 1.0)))

series101.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (* x z) (- y 1.0))
31.0ms
(cbrt (* (* x z) (- y 1.0)))
32.0ms
(cbrt (* (* x z) (- y 1.0)))
30.0ms
(cbrt (* (* x z) (- y 1.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0351771
11391719
25002686

prune163.0ms

Filtered
55 candidates to 71 candidates (-29.1%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New70171
Fresh145
Picked011
Done033
Total71980

Merged error: 0b

Counts
80 → 9

regimes657.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample933.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 6.451416%

Guaranteed chance to sample good point: 92.989496%

Results
226.0ms8000×body80valid
40.0ms1479×body80invalid

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