Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.8%	98%	0.3%	13
2.4%	97.3%	0.3%	14

sample35.0ms

Algorithm

intervals

Results

16.0ms	256×	body	128	valid
4.0ms	105×	body	128	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	81	19
1	81	19

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
0.0b	(+.f64 t (*.f64 z b))
0.0b	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
2.2b	(.f64 a (+.f64 t (.f64 z b)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp_binary64`
8×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`sum-log_binary64`
4×	`flip3-+_binary64` `flip-+_binary64`
3×	`associate-r_binary64` `associate-l_binary64` `+-commutative_binary64` `associate-+r+_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 60

Calls

4 calls:

6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
3.0ms	(+.f64 t (*.f64 z b))
4.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))

series488.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
49.0ms	(+.f64 t (*.f64 z b))
120.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
121.0ms	(.f64 a (+.f64 t (.f64 z b)))

simplify66.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4982	1193
1	4982	1193

prune60.0ms

Filtered

56 candidates to 72 candidates (-28.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
1.3b	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))
1.5b	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`add-cbrt-cube_binary64`
10×	`cbrt-prod_binary64`
9×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64` `associate-*l/_binary64`
2×	`flip3-+_binary64` `associate-r/_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
12.0ms	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))
7.0ms	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))

series719.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt.f64 a)
150.0ms	(cbrt.f64 a)
196.0ms	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))
225.0ms	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))

simplify48.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5101	906

prune60.0ms

Filtered

59 candidates to 82 candidates (-39.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Merged error: 0.0b

Counts

89 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)))
2.2b	(.f64 a (+.f64 t (.f64 z b)))
2.2b	(.f64 a (+.f64 t (.f64 z b)))
2.2b	(.f64 a (+.f64 t (.f64 z b)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
6×	`associate-*r/_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 79

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))

series801.0ms

Counts

4 → 12

Calls

4 calls:

450.0ms	(cbrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)))
126.0ms	(.f64 a (+.f64 t (.f64 z b)))
117.0ms	(.f64 a (+.f64 t (.f64 z b)))
108.0ms	(.f64 a (+.f64 t (.f64 z b)))

simplify56.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5019	1384

prune92.0ms

Filtered

66 candidates to 91 candidates (-37.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y z))
0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
6.8b	(.f64 (.f64 a z) b)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
10×	`sum-log_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64`
2×	`associate-+l+_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 56

Calls

4 calls:

3.0ms	(+.f64 x (*.f64 y z))
6.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
10.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
5.0ms	(.f64 (.f64 a z) b)

series411.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+.f64 x (*.f64 y z))
109.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
196.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
55.0ms	(.f64 (.f64 a z) b)

simplify36.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5129	1027

prune39.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	68	7	75

Merged error: 0.0b

Counts

75 → 7

regimes187.0ms

Accuracy

84.6% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.8b

bsearch46.0ms

Steps

Iters	Range		Point
6	1.4348041155713396e-43	1.2095188475120227e-42	1.053842050900141e-42
7	-4.710691823985033e+116	-5.292245174635893e+114	-7.886049957449833e+114

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	55
1	41	55

end0.0ms

sample927.0ms

Algorithm

intervals

Results

365.0ms	8000×	body	128	valid
171.0ms	3817×	body	128	invalid

Details

analyze1.5s

sample35.0ms

simplify11.0ms

prune5.0ms

localize11.0ms

rewrite24.0ms

series488.0ms

simplify66.0ms

prune60.0ms

localize14.0ms

rewrite28.0ms

series719.0ms

simplify48.0ms

prune60.0ms

localize18.0ms

rewrite34.0ms

series801.0ms

simplify56.0ms

prune92.0ms

localize12.0ms

rewrite28.0ms

series411.0ms

simplify36.0ms

prune39.0ms

regimes187.0ms

bsearch46.0ms

simplify2.0ms

end0.0ms

sample927.0ms

Profiling