Details

analyze370.0ms

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
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	29×	body	80	invalid

simplify311.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (308.0ms)

Iter	Nodes	Cost
0	5443	9

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: 10.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
10.2b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64`
4×	`pow1_binary64` `associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 47

Calls

2 calls:

9.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))
13.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

series18.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))
10.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	6074	480

prune69.0ms

Filtered

35 candidates to 53 candidates (-51.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	46	7	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	7	54

Merged error: 0.0b

Counts

54 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (+.f64 (-.f64 y z) 1))
4.5b	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
138×	`times-frac_binary64`
70×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
32×	`distribute-lft-out_binary64`
26×	`associate-/r*_binary64`
16×	`distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 139

Calls

2 calls:

8.0ms	(/.f64 z (+.f64 (-.f64 y z) 1))
14.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 z (+.f64 (-.f64 y z) 1))
10.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

simplify51.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4983	2087
1	4983	2087

prune123.0ms

Filtered

92 candidates to 145 candidates (-57.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	146	6	152

Merged error: 0b

Counts

152 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (/.f64 (*.f64 x y) z) (/.f64 x z)) x)
0.0b	(+.f64 (/.f64 (*.f64 x y) z) (/.f64 x z))
6.6b	(/.f64 (*.f64 x y) z)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64` `pow1_binary64` `times-frac_binary64` `div-inv_binary64`
2×	`diff-log_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `frac-add_binary64` `distribute-rgt-out_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate--l+_binary64`

Counts

3 → 51

Calls

3 calls:

15.0ms	(-.f64 (+.f64 (/.f64 (*.f64 x y) z) (/.f64 x z)) x)
11.0ms	(+.f64 (/.f64 (*.f64 x y) z) (/.f64 x z))
6.0ms	(/.f64 (*.f64 x y) z)

series23.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(-.f64 (+.f64 (/.f64 (*.f64 x y) z) (/.f64 x z)) x)
8.0ms	(+.f64 (/.f64 (*.f64 x y) z) (/.f64 x z))
6.0ms	(/.f64 (*.f64 x y) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4973	552
1	4973	552

prune61.0ms

Filtered

43 candidates to 60 candidates (-39.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	60	6	66

Merged error: 0b

Counts

66 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 y z) 1) z)
5.1b	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
27×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
14×	`distribute-lft-out_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out--_binary64`
5×	`associate-/l*_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `associate-+l-_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

2 → 76

Calls

2 calls:

12.0ms	(/.f64 (+.f64 (-.f64 y z) 1) z)
13.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))

series16.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/.f64 (+.f64 (-.f64 y z) 1) z)
10.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))

simplify50.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5286	844

prune56.0ms

Filtered

50 candidates to 82 candidates (-64.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	82	6	88

Merged error: 0b

Counts

88 → 6

regimes190.0ms

Accuracy

97.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.5b

bsearch28.0ms

Steps

Iters	Range		Point
7	6.246099274894503e-08	7.2334205812500315e-06	4.27404980573066e-06
10	-2.5296353377801135e+47	-7.373772394111723e+36	-4.017127125067015e+40

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	29
1	44	29

end0.0ms

sample459.0ms

Algorithm

intervals

Results

238.0ms	8000×	body	80	valid
31.0ms	1038×	body	80	invalid

Details

analyze370.0ms

sample17.0ms

simplify311.0ms

prune3.0ms

localize6.0ms

rewrite24.0ms

series18.0ms

simplify40.0ms

prune69.0ms

localize6.0ms

rewrite30.0ms

series18.0ms

simplify51.0ms

prune123.0ms

localize10.0ms

rewrite33.0ms

series23.0ms

simplify41.0ms

prune61.0ms

localize6.0ms

rewrite27.0ms

series16.0ms

simplify50.0ms

prune56.0ms

regimes190.0ms

bsearch28.0ms

simplify2.0ms

end0.0ms

sample459.0ms

Profiling