Details

analyze661.0ms

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
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

sample36.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
4.0ms	73×	body	80	invalid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 1.9b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
4.2b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

9.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
10.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

series27.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
15.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

simplify48.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4963	583
1	4963	583

prune57.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	51	8	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	8	60

Merged error: 0b

Counts

60 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 x y) z) (-.f64 t (.f64 (/.f64 x y) t)))
0.0b	(-.f64 t (*.f64 (/.f64 x y) t))
2.8b	(*.f64 (/.f64 x y) t)
3.2b	(*.f64 (/.f64 x y) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
26×	`associate-l_binary64`
21×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64` `times-frac_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-log-exp_binary64`
8×	`pow1_binary64`
6×	`associate-r_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-*l/_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `frac-add_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `distribute-rgt-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64`

Counts

4 → 92

Calls

4 calls:

8.0ms	(+.f64 (.f64 (/.f64 x y) z) (-.f64 t (.f64 (/.f64 x y) t)))
3.0ms	(-.f64 t (*.f64 (/.f64 x y) t))
6.0ms	(*.f64 (/.f64 x y) t)
7.0ms	(*.f64 (/.f64 x y) z)

series32.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+.f64 (.f64 (/.f64 x y) z) (-.f64 t (.f64 (/.f64 x y) t)))
7.0ms	(-.f64 t (*.f64 (/.f64 x y) t))
6.0ms	(*.f64 (/.f64 x y) t)
6.0ms	(*.f64 (/.f64 x y) z)

simplify43.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5566	897

prune54.0ms

Filtered

76 candidates to 104 candidates (-36.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	104	8	112

Merged error: 0b

Counts

112 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z t))
0.5b	(cbrt.f64 (-.f64 z t))
0.7b	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))
3.7b	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div_binary64`
98×	`frac-times_binary64`
68×	`flip3--_binary64` `flip--_binary64`
50×	`associate-*r/_binary64`
37×	`associate-*l/_binary64`
34×	`add-exp-log_binary64`
24×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cbrt-cube_binary64`
18×	`pow1_binary64`
17×	`cbrt-unprod_binary64` `prod-exp_binary64`
15×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
14×	`associate-l_binary64`
10×	`times-frac_binary64`
9×	`pow-prod-down_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`pow1/3_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`div-inv_binary64`

Counts

4 → 164

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))
23.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))
20.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt.f64 (-.f64 z t))
26.0ms	(cbrt.f64 (-.f64 z t))
19.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))
35.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))

simplify55.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5197	3402

prune78.0ms

Filtered

110 candidates to 176 candidates (-60.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	176	8	184

Merged error: 0b

Counts

184 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
8.2b	(cbrt.f64 (/.f64 x y))
8.2b	(cbrt.f64 (/.f64 x y))
8.2b	(cbrt.f64 (/.f64 x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-div_binary64` `cbrt-prod_binary64`
29×	`frac-times_binary64`
27×	`times-frac_binary64`
25×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`associate-*l/_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
15×	`associate-*r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `div-inv_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 111

Calls

4 calls:

18.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))
3.0ms	(cbrt.f64 (/.f64 x y))

series55.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
12.0ms	(cbrt.f64 (/.f64 x y))
12.0ms	(cbrt.f64 (/.f64 x y))
15.0ms	(cbrt.f64 (/.f64 x y))

simplify67.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4957	1316
1	4957	1316

prune44.0ms

Filtered

87 candidates to 123 candidates (-41.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	123	8	131

Merged error: 0b

Counts

131 → 8

regimes260.0ms

Accuracy

-14.1% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 1.9b

bsearch32.0ms

Steps

Iters	Range		Point
7	3.2427078026186215e-80	2.374707173924255e-78	6.1238839299412234e-80
9	3.700038632114474e-304	4.125136833835741e-299	2.033649833623086e-302

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	31
1	62	31

end0.0ms

sample575.0ms

Algorithm

intervals

Results

254.0ms	8000×	body	80	valid
67.0ms	2141×	body	80	invalid

Details

analyze661.0ms

sample36.0ms

simplify58.0ms

prune5.0ms

localize11.0ms

rewrite21.0ms

series27.0ms

simplify48.0ms

prune57.0ms

localize10.0ms

rewrite28.0ms

series32.0ms

simplify43.0ms

prune54.0ms

localize10.0ms

rewrite61.0ms

series105.0ms

simplify55.0ms

prune78.0ms

localize11.0ms

rewrite30.0ms

series55.0ms

simplify67.0ms

prune44.0ms

regimes260.0ms

bsearch32.0ms

simplify2.0ms

end0.0ms

sample575.0ms

Profiling