Details

analyze435.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

sample20.0ms

Algorithm

intervals

Results

8.0ms	230×	body	80	valid
1.0ms	11×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	21×	body	80	invalid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	160	valid

simplify322.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (308.0ms)

Iter	Nodes	Cost
0	2427	16
1	2427	16

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.3b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0b	(*.f64 (-.f64 y x) 6)
0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*l/_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
5×	`sub-neg_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 78

Calls

4 calls:

4.0ms	(-.f64 2/3 z)
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
10.0ms	(*.f64 (-.f64 y x) 6)
11.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

series115.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(-.f64 2/3 z)
46.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
18.0ms	(*.f64 (-.f64 y x) 6)
36.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

simplify68.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5721	1296

prune82.0ms

Filtered

64 candidates to 90 candidates (-40.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y))))
0.0b	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y)))
0.2b	(.f64 (.f64 6 z) (-.f64 x y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
5×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
4×	`sub-neg_binary64` `frac-add_binary64` `add-cube-cbrt_binary64` `associate-*l/_binary64` `sum-log_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-+r+_binary64`
2×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 55

Calls

3 calls:

9.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y))))
9.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y)))
9.0ms	(.f64 (.f64 6 z) (-.f64 x y))

series128.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+.f64 x (+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y))))
43.0ms	(+.f64 (.f64 (-.f64 y x) 4) (.f64 (*.f64 6 z) (-.f64 x y)))
42.0ms	(.f64 (.f64 6 z) (-.f64 x y))

simplify91.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4964	1435
1	4964	1435

prune52.0ms

Filtered

46 candidates to 64 candidates (-39.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 y z)))
0.0b	(+.f64 x (-.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 y z))))
0.3b	(.f64 6 (.f64 y z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate-+r+_binary64` `*-commutative_binary64`

Counts

3 → 44

Calls

3 calls:

8.0ms	(-.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 y z)))
8.0ms	(+.f64 x (-.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 y z))))
5.0ms	(.f64 6 (.f64 y z))

series84.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(-.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 y z)))
35.0ms	(+.f64 x (-.f64 (.f64 (-.f64 y x) 4) (.f64 6 (*.f64 y z))))
18.0ms	(.f64 6 (.f64 y z))

simplify82.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4960	927
1	4960	927

prune38.0ms

Filtered

34 candidates to 53 candidates (-55.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) 6)
0.1b	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) 6) (sqrt.f64 (-.f64 2/3 z))) (sqrt.f64 (-.f64 2/3 z))))
0.2b	(.f64 (.f64 (*.f64 (-.f64 y x) 6) (sqrt.f64 (-.f64 2/3 z))) (sqrt.f64 (-.f64 2/3 z)))
0.2b	(.f64 (.f64 (-.f64 y x) 6) (sqrt.f64 (-.f64 2/3 z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-div_binary64` `associate-*l/_binary64`
34×	`flip3--_binary64` `flip--_binary64`
32×	`frac-times_binary64`
20×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`associate-r_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 116

Calls

4 calls:

7.0ms	(*.f64 (-.f64 y x) 6)
4.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) 6) (sqrt.f64 (-.f64 2/3 z))) (sqrt.f64 (-.f64 2/3 z))))
20.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) 6) (sqrt.f64 (-.f64 2/3 z))) (sqrt.f64 (-.f64 2/3 z)))
12.0ms	(.f64 (.f64 (-.f64 y x) 6) (sqrt.f64 (-.f64 2/3 z)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (-.f64 y x) 6)
48.0ms	(+.f64 x (.f64 (.f64 (*.f64 (-.f64 y x) 6) (sqrt.f64 (-.f64 2/3 z))) (sqrt.f64 (-.f64 2/3 z))))
33.0ms	(.f64 (.f64 (*.f64 (-.f64 y x) 6) (sqrt.f64 (-.f64 2/3 z))) (sqrt.f64 (-.f64 2/3 z)))
70.0ms	(.f64 (.f64 (-.f64 y x) 6) (sqrt.f64 (-.f64 2/3 z)))

simplify102.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4950	2805
1	4950	2805

prune107.0ms

Filtered

88 candidates to 128 candidates (-45.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	128	7	135

Merged error: 0.0b

Counts

135 → 7

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	22
1	36	22

end0.0ms

sample597.0ms

Algorithm

intervals

Results

286.0ms	7281×	body	80	valid
36.0ms	253×	body	640	valid
31.0ms	163×	body	1280	valid
23.0ms	598×	body	80	invalid
23.0ms	193×	body	320	valid
8.0ms	110×	body	160	valid

Details

analyze435.0ms

sample20.0ms

simplify322.0ms

prune4.0ms

localize8.0ms

rewrite32.0ms

series115.0ms

simplify68.0ms

prune82.0ms

localize10.0ms

rewrite29.0ms

series128.0ms

simplify91.0ms

prune52.0ms

localize11.0ms

rewrite22.0ms

series84.0ms

simplify82.0ms

prune38.0ms

localize10.0ms

rewrite49.0ms

series169.0ms

simplify102.0ms

prune107.0ms

regimes46.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample597.0ms

Profiling