Details

analyze485.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.887733%

Guaranteed chance to sample good point: 85.600831%

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	12×	body	80	invalid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	750	3
11	1136	3
12	1818	3
13	5002	3

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

3.0ms	(+ x (* y (- z x)))
8.0ms	(* y (- z x))

series22.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (* y (- z x)))
14.0ms	(* y (- z x))

simplify86.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3520	165
3	5001	165

prune48.0ms

Filtered

29 candidates to 47 candidates (-62.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	2	48

Merged error: 0b

Counts

48 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ (* y z) (* y (neg x))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`*-un-lft-identity` `sum-log`
2×	`associate-+r-` `distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `unsub-neg` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 16

Calls

1 calls:

5.0ms

(+ x (+ (* y z) (* y (neg x))))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(+ x (+ (* y z) (* y (neg x))))

simplify65.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	111	127
1	447	111
2	2294	110
3	5001	110

prune23.0ms

Filtered

14 candidates to 19 candidates (-35.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Merged error: 0b

Counts

21 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

11.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
3.0ms	(cbrt (- z x))
3.0ms	(cbrt (- z x))
3.0ms	(cbrt (- z x))

series116.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
26.0ms	(cbrt (- z x))
27.0ms	(cbrt (- z x))
32.0ms	(cbrt (- z x))

simplify123.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	287	793
1	868	756
2	3986	674
3	5001	652

prune102.0ms

Filtered

78 candidates to 113 candidates (-44.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Merged error: 0b

Counts

115 → 2

regimes125.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	18	5
2	19	5
3	19	5

end0.0ms

analyze470.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.887733%

Guaranteed chance to sample good point: 85.600831%

sample346.0ms

Algorithm

intervals

Results

180.0ms	8000×	body	80	valid
10.0ms	340×	body	80	invalid

Details

analyze485.0ms

sample15.0ms

simplify78.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series22.0ms

simplify86.0ms

prune48.0ms

localize7.0ms

rewrite6.0ms

series7.0ms

simplify65.0ms

prune23.0ms

localize9.0ms

rewrite23.0ms

series116.0ms

simplify123.0ms

prune102.0ms

regimes125.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze470.0ms

sample346.0ms

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