Details

Time bar (total: 4.9s)

sample21.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
8.0ms323×body80valid

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.3b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×*-un-lft-identity
8×associate-*l*
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r*
5×add-log-exp
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 58
Calls
3 calls:
3.0ms
(- 1.0 (* (- 1.0 y) z))
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- 1.0 (* (- 1.0 y) z))
4.0ms
(* (- 1.0 y) z)
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify97.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0233336
1920299
24132288
35001288

prune76.0ms

Filtered
43 candidates to 67 candidates (-55.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New64367
Fresh000
Picked011
Done000
Total64468

Merged error: 0.0b

Counts
68 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.8b
(* (* x z) (- y 1.0))

rewrite13.0ms

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))

series19.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0257266
11177224
25002219

prune58.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New44347
Fresh112
Picked011
Done011
Total45651

Merged error: 0.0b

Counts
51 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.2b
(cbrt (- y 1.0))
1.0b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.8b
(* (* 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:
3.0ms
(cbrt (- y 1.0))
3.0ms
(cbrt (- y 1.0))
22.0ms
(* (* (* 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))))

series57.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(cbrt (- y 1.0))
8.0ms
(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))))

simplify77.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06641639
125771433
250021371

prune425.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1282130
Fresh033
Picked101
Done022
Total1297136

Merged error: 0b

Counts
136 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.3b
(* (* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0))))) (cbrt (cbrt (- y 1.0))))
0.8b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
2.8b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
1634×cbrt-div
708×frac-times
520×flip3-- flip--
476×associate-*r/
258×associate-*l/
110×pow1 add-exp-log
81×pow-prod-down prod-exp cbrt-unprod
59×add-cbrt-cube
18×cbrt-prod
13×associate-*r*
12×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
4×add-log-exp
3×associate-*l* *-commutative
2×distribute-lft-out-- difference-of-squares
1×pow1/3
Counts
4 → 460
Calls
4 calls:
3.0ms
(cbrt (- y 1.0))
47.0ms
(* (* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0))))) (cbrt (cbrt (- y 1.0))))
34.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
14.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series106.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (- y 1.0))
14.0ms
(* (* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0))))) (cbrt (cbrt (- y 1.0))))
45.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
40.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify152.0ms

Algorithm
egg-herbie
Counts
472 → 472
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
0234514657
1500213777

prune2.1s

Filtered
251 candidates to 472 candidates (-88.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New4720472
Fresh044
Picked011
Done022
Total4727479

Merged error: 0b

Counts
479 → 7

regimes574.0ms

Accuracy

86.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02817
12817

end0.0ms

sample553.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
280.0ms10133×body80valid

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