Details

Time bar (total: 2.6s)

sample383.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 10.982575%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
5.0ms256×body80valid
0.0ms3×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
082
1152
2152

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* y z))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- x (* y z))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(- x (* y z))

simplify59.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07358
120953
264353
3159953
4500153

prune26.0ms

Filtered
12 candidates to 15 candidates (-25.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* y z))) (cbrt (- x (* y z))))
0.6b
(cbrt (- x (* y z)))
0.6b
(cbrt (- x (* y z)))
0.6b
(cbrt (- x (* y z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (cbrt (- x (* y z))) (cbrt (- x (* y z))))
2.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))

series143.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (cbrt (- x (* y z))) (cbrt (- x (* y z))))
33.0ms
(cbrt (- x (* y z)))
35.0ms
(cbrt (- x (* y z)))
33.0ms
(cbrt (- x (* y z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0331927
11052876
25001816

prune109.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh011
Picked011
Done011
Total984102

Merged error: 0.0b

Counts
102 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x (* y z)))
0.6b
(cbrt (- x (* y z)))
0.6b
(cbrt (cbrt (- x (* y z))))
0.6b
(cbrt (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×cbrt-prod
9×flip3-- flip--
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
2×associate-*r/ associate-*l/
Counts
4 → 59
Calls
4 calls:
2.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))
3.0ms
(cbrt (cbrt (- x (* y z))))
7.0ms
(cbrt (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))))

series156.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(cbrt (- x (* y z)))
32.0ms
(cbrt (- x (* y z)))
41.0ms
(cbrt (cbrt (- x (* y z))))
50.0ms
(cbrt (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))))

simplify95.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0407778
1985738
23476717
35002703

prune102.0ms

Filtered
60 candidates to 71 candidates (-18.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New71071
Fresh011
Picked011
Done022
Total71475

Merged error: 0.0b

Counts
75 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

2.0b
(+ (* (* y z) (+ (* y z) x)) (* x x))
2.2b
(* (* y z) (+ (* y z) x))
2.6b
(- (pow x 3) (pow (* y z) 3))
39.8b
(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* y z) (+ (* y z) x)) (* x x)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt
40×difference-of-squares
39×times-frac
33×*-un-lft-identity
30×sqr-pow
23×add-cube-cbrt
13×associate-/l*
11×add-exp-log add-cbrt-cube
10×unpow-prod-down cube-prod
9×pow1
8×add-log-exp
5×difference-cubes distribute-lft-out--
3×flip3-+ associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod flip-+
2×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in associate-*r/ associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 129
Calls
4 calls:
8.0ms
(+ (* (* y z) (+ (* y z) x)) (* x x))
8.0ms
(* (* y z) (+ (* y z) x))
9.0ms
(- (pow x 3) (pow (* y z) 3))
21.0ms
(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* y z) (+ (* y z) x)) (* x x)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ (* (* y z) (+ (* y z) x)) (* x x))
8.0ms
(* (* y z) (+ (* y z) x))
33.0ms
(- (pow x 3) (pow (* y z) 3))
29.0ms
(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* y z) (+ (* y z) x)) (* x x)))

simplify105.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
05621917
130231833
250011831

prune217.0ms

Filtered
103 candidates to 141 candidates (-36.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1401141
Fresh000
Picked101
Done033
Total1414145

Merged error: 0b

Counts
145 → 4

regimes240.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample695.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 10.982575%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
163.0ms8000×body80valid
4.0ms179×body80invalid

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