Details

Time bar (total: 3.3s)

sample357.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 22.897339%

Guaranteed chance to sample good point: 91.933505%

Results
8.0ms256×body80valid
1.0ms46×body80invalid

simplify239.0ms

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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.1b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
1.9b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite20.0ms

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:
10.0ms
(* (- 1.0 y) z)
8.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* (- 1.0 y) z)
18.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune74.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New47552
Fresh000
Picked011
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.1b
(* (* 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))

series18.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* 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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New45247
Fresh134
Picked011
Done011
Total46753

Merged error: 0b

Counts
53 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.2b
(cbrt (- y 1.0))
1.1b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.1b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite44.0ms

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:
3.0ms
(cbrt (- y 1.0))
3.0ms
(cbrt (- y 1.0))
20.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
13.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series58.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (- y 1.0))
7.0ms
(cbrt (- y 1.0))
11.0ms
(* (* (* 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))))

simplify76.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06641639
125771433
250021371

prune225.0ms

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

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1300130
Fresh044
Picked011
Done022
Total1307137

Merged error: 0b

Counts
137 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* x z) (- y 1.0))
6.4b
(cbrt (* (* x z) (- y 1.0)))
6.4b
(cbrt (* (* x z) (- y 1.0)))
6.4b
(cbrt (* (* x z) (- y 1.0)))

rewrite27.0ms

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)))
7.0ms
(cbrt (* (* x z) (- y 1.0)))
5.0ms
(cbrt (* (* x z) (- y 1.0)))

series101.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* x z) (- y 1.0))
32.0ms
(cbrt (* (* x z) (- y 1.0)))
29.0ms
(cbrt (* (* x z) (- y 1.0)))
31.0ms
(cbrt (* (* x z) (- y 1.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0351771
11391719
25002686

prune163.0ms

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

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New71071
Fresh033
Picked011
Done033
Total71778

Merged error: 0b

Counts
78 → 7

regimes538.0ms

Accuracy

94% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02813
12813

end0.0ms

sample1.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 22.897339%

Guaranteed chance to sample good point: 91.933505%

Results
264.0ms8000×body80valid
45.0ms1433×body80invalid

Profiling

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