Details

analyze142.0ms

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
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

sample15.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4934	11
1	4934	11

prune2.0ms

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: 7.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
6.9b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`associate-/r_binary64` `pow1_binary64` `associate-r_binary64` `associate-r/_binary64` `times-frac_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_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` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 50

Calls

2 calls:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))
6.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

simplify39.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5093	569

prune47.0ms

Filtered

38 candidates to 56 candidates (-47.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	6	57

Merged error: 0.0b

Counts

57 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
0.1b	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity_binary64`
146×	`times-frac_binary64`
71×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
42×	`distribute-lft-out_binary64`
26×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-/l*_binary64`
6×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 146

Calls

2 calls:

14.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
11.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

series17.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
10.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

simplify67.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5330	2609

prune84.0ms

Filtered

98 candidates to 152 candidates (-55.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	152	6	158

Merged error: 0b

Counts

158 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1))
0.2b	(*.f64 x (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64`
33×	`times-frac_binary64`
27×	`add-sqr-sqrt_binary64`
22×	`associate-r_binary64` `add-cube-cbrt_binary64`
18×	`distribute-lft-out_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r_binary64` `pow1_binary64` `associate-/r/_binary64` `associate-/l_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `flip-+_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` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 81

Calls

2 calls:

11.0ms	(/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1))
16.0ms	(*.f64 x (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1))
6.0ms	(*.f64 x (/.f64 (+.f64 (/.f64 x y) 1) (+.f64 x 1)))

simplify67.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5590	1096

prune45.0ms

Filtered

56 candidates to 87 candidates (-55.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series62.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
14.0ms	(cbrt.f64 x)
14.0ms	(cbrt.f64 x)
14.0ms	(cbrt.f64 x)

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune74.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0b

Counts

91 → 6

regimes60.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	11	11

end0.0ms

sample410.0ms

Algorithm

intervals

Results

264.0ms	8000×	body	80	valid
9.0ms	280×	body	80	invalid

Details

analyze142.0ms

sample15.0ms

simplify90.0ms

prune2.0ms

localize6.0ms

rewrite27.0ms

series11.0ms

simplify39.0ms

prune47.0ms

localize7.0ms

rewrite33.0ms

series17.0ms

simplify67.0ms

prune84.0ms

localize7.0ms

rewrite31.0ms

series11.0ms

simplify67.0ms

prune45.0ms

localize14.0ms

rewrite12.0ms

series62.0ms

simplify46.0ms

prune74.0ms

regimes60.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample410.0ms

Profiling