Details

analyze878.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

sample26.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	94×	body	80	invalid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	720	13
1	720	13

prune4.0ms

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: 5.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t)))
4.8b	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

4.0ms	(-.f64 (*.f64 z z) t)
4.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t)))
9.0ms	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))

series48.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(-.f64 (*.f64 z z) t)
28.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t)))
16.0ms	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))

simplify49.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4982	631
1	4982	631

prune71.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	7	58

Merged error: 2.5b

Counts

58 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b	(.f64 (.f64 y 4.0) (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (*.f64 z z) t))))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
12×	`add-cbrt-cube_binary64` `cbrt-prod_binary64`
10×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`pow1/3_binary64` `difference-of-squares_binary64`
2×	`associate-*l/_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

17.0ms	(.f64 (.f64 y 4.0) (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (*.f64 z z) t))))
5.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
6.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
4.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))

series92.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(.f64 (.f64 y 4.0) (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (*.f64 z z) t))))
18.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
17.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
18.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))

simplify75.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4878	952
1	4878	952

prune100.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	83	8	91

Merged error: 2.5b

Counts

91 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

1.5b	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t))))
1.5b	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t))))
4.8b	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))
4.8b	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
8×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `sqrt-div_binary64`
2×	`pow1/2_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `*-commutative_binary64`

Counts

4 → 76

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t))))
4.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t))))
9.0ms	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))
9.0ms	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))

series120.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t))))
46.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) (-.f64 (.f64 z z) t))))
16.0ms	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))
16.0ms	(.f64 (.f64 y 4.0) (-.f64 (*.f64 z z) t))

simplify37.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5084	1108

prune94.0ms

Filtered

62 candidates to 88 candidates (-41.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	88	8	96

Merged error: 2.5b

Counts

96 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 y 4.0) (sqrt.f64 (-.f64 (*.f64 z z) t)))
0.2b	(.f64 (.f64 (.f64 y 4.0) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
4.7b	(sqrt.f64 (-.f64 (*.f64 z z) t))
4.7b	(sqrt.f64 (-.f64 (*.f64 z z) t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
16×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
14×	`associate-r_binary64`
10×	`-un-lft-identity_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64`
9×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `difference-of-squares_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

10.0ms	(.f64 (.f64 y 4.0) (sqrt.f64 (-.f64 (*.f64 z z) t)))
16.0ms	(.f64 (.f64 (.f64 y 4.0) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
5.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
5.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

series51.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(.f64 (.f64 y 4.0) (sqrt.f64 (-.f64 (*.f64 z z) t)))
16.0ms	(.f64 (.f64 (.f64 y 4.0) (sqrt.f64 (-.f64 (.f64 z z) t))) (sqrt.f64 (-.f64 (*.f64 z z) t)))
7.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))
8.0ms	(sqrt.f64 (-.f64 (*.f64 z z) t))

simplify50.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5291	1122

prune74.0ms

Filtered

71 candidates to 101 candidates (-42.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	101	8	109

Merged error: 2.5b

Counts

109 → 8

regimes956.0ms

Accuracy

80.8% (0.7b remaining)

Error of 3.1b against oracle of 2.4b and baseline of 5.9b

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	333	36
1	333	36

end0.0ms

sample718.0ms

Algorithm

intervals

Results

309.0ms	8000×	body	80	valid
115.0ms	2996×	body	80	invalid

Details

analyze878.0ms

sample26.0ms

simplify34.0ms

prune4.0ms

localize9.0ms

rewrite19.0ms

series48.0ms

simplify49.0ms

prune71.0ms

localize13.0ms

rewrite35.0ms

series92.0ms

simplify75.0ms

prune100.0ms

localize11.0ms

rewrite29.0ms

series120.0ms

simplify37.0ms

prune94.0ms

localize13.0ms

rewrite38.0ms

series51.0ms

simplify50.0ms

prune74.0ms

regimes956.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample718.0ms

Profiling