Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample33.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	136	13
1	136	13

prune8.0ms

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: 3.5b

Counts

2 → 1

localize16.0ms

Local error

Found 2 expressions with local error:

0.4b	(+.f64 b (+.f64 c d))
2.7b	(+.f64 a (+.f64 b (+.f64 c d)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_574` `add-log-exp_binary64_539`
9×	`distribute-lft-out_binary64_618` `sum-log_binary64_489`
2×	`add-cube-cbrt_binary64_545` `associate-+r+_binary64_625` `pow1_binary64_520` `add-cbrt-cube_binary64_546` `+-commutative_binary64_641` `add-sqr-sqrt_binary64_559` `flip3-+_binary64_572` `flip-+_binary64_599` `add-exp-log_binary64_538`

Counts

2 → 32

Calls

2 calls:

6.0ms	(+.f64 b (+.f64 c d))
8.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

series41.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 b (+.f64 c d))
29.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

simplify65.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5692	450

prune187.0ms

Filtered

24 candidates to 38 candidates (-58.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	7	39

Merged error: 2.2b

Counts

39 → 7

localize10.0ms

Local error

Found 1 expressions with local error:

2.7b	(+.f64 a (+.f64 (+.f64 b c) d))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_574` `add-log-exp_binary64_539`
6×	`distribute-lft-out_binary64_618` `sum-log_binary64_489`
1×	`add-cube-cbrt_binary64_545` `associate-+r+_binary64_625` `pow1_binary64_520` `add-cbrt-cube_binary64_546` `+-commutative_binary64_641` `add-sqr-sqrt_binary64_559` `flip3-+_binary64_572` `flip-+_binary64_599` `add-exp-log_binary64_538`

Counts

1 → 17

Calls

1 calls:

16.0ms

(+.f64 a (+.f64 (+.f64 b c) d))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(+.f64 a (+.f64 (+.f64 b c) d))

simplify55.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5048	266

prune148.0ms

Filtered

13 candidates to 20 candidates (-53.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	14	6	20
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	17	10	27

Merged error: 2.0b

Counts

27 → 10

localize17.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3))
2.7b	(+.f64 a (+.f64 (+.f64 b c) d))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64_574`
18×	`cbrt-prod_binary64_541` `distribute-lft-out_binary64_618`
11×	`add-log-exp_binary64_539`
6×	`unpow-prod-down_binary64_509` `cube-prod_binary64_547` `sum-log_binary64_489`
5×	`add-cube-cbrt_binary64_545` `add-sqr-sqrt_binary64_559`
2×	`cbrt-div_binary64_542` `pow1_binary64_520` `add-cbrt-cube_binary64_546` `cube-div_binary64_548` `flip3-+_binary64_572` `flip-+_binary64_599` `add-exp-log_binary64_538`
1×	`pow1/3_binary64_512` `associate-+r+_binary64_625` `sqr-pow_binary64_606` `+-commutative_binary64_641` `rem-cbrt-cube_binary64_551` `unpow3_binary64_518` `cube-mult_binary64_549`

Counts

2 → 46

Calls

2 calls:

10.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3))
9.0ms	(+.f64 a (+.f64 (+.f64 b c) d))

series64.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3))
27.0ms	(+.f64 a (+.f64 (+.f64 b c) d))

simplify65.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5154	822

prune282.0ms

Filtered

26 candidates to 52 candidates (-100.0%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	43	9	52
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	45	17	62

Merged error: 1.9b

Counts

62 → 17

localize20.0ms

Local error

Found 3 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3)) 3))
0.6b	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3))
2.7b	(+.f64 a (+.f64 (+.f64 b c) d))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-prod_binary64_541`
78×	`*-un-lft-identity_binary64_574`
42×	`distribute-lft-out_binary64_618`
39×	`unpow-prod-down_binary64_509` `cube-prod_binary64_547`
15×	`add-cube-cbrt_binary64_545` `add-sqr-sqrt_binary64_559`
12×	`add-log-exp_binary64_539`
6×	`cbrt-div_binary64_542` `cube-div_binary64_548` `sum-log_binary64_489`
4×	`sqr-pow_binary64_606` `unpow3_binary64_518` `cube-mult_binary64_549`
3×	`pow1_binary64_520` `add-cbrt-cube_binary64_546` `flip3-+_binary64_572` `flip-+_binary64_599` `add-exp-log_binary64_538`
2×	`pow1/3_binary64_512` `rem-cbrt-cube_binary64_551`
1×	`associate-+r+_binary64_625` `+-commutative_binary64_641`

Counts

3 → 105

Calls

3 calls:

13.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3)) 3))
9.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3))
9.0ms	(+.f64 a (+.f64 (+.f64 b c) d))

series109.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3)) 3))
44.0ms	(cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 b c) d)) 3))
27.0ms	(+.f64 a (+.f64 (+.f64 b c) d))

simplify76.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5285	2057

prune207.0ms

Filtered

37 candidates to 114 candidates (-208.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	3	12	15
Picked	1	0	1
Done	0	1	1
Total	111	20	131

Merged error: 1.8b

Counts

131 → 20

regimes1.8s

Accuracy

0% (0.8b remaining)

Error of 2.8b against oracle of 1.9b and baseline of 2.8b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	13
1	14	13

end0.0ms

sample787.0ms

Algorithm

intervals

Results

305.0ms	8000×	pre	80	true
225.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample33.0ms

simplify14.0ms

prune8.0ms

localize16.0ms

rewrite15.0ms

series41.0ms

simplify65.0ms

prune187.0ms

localize10.0ms

rewrite16.0ms

series28.0ms

simplify55.0ms

prune148.0ms

localize17.0ms

rewrite21.0ms

series64.0ms

simplify65.0ms

prune282.0ms

localize20.0ms

rewrite37.0ms

series109.0ms

simplify76.0ms

prune207.0ms

regimes1.8s

bsearch0.0ms

simplify4.0ms

end0.0ms

sample787.0ms

Profiling