Details

analyze1.3s

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
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

sample31.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	47	17
1	47	17

prune5.0ms

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: 16.9b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y z) t))
4.5b	(/.f64 (*.f64 y z) t)
4.6b	(/.f64 (*.f64 y b) t)
13.1b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64`
26×	`times-frac_binary64`
22×	`distribute-lft-out_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r*_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`flip3-+_binary64` `pow1_binary64` `associate-/r/_binary64` `flip-+_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `frac-add_binary64` `prod-exp_binary64`
1×	`+-commutative_binary64` `sum-log_binary64`

Counts

4 → 101

Calls

4 calls:

6.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
5.0ms	(/.f64 (*.f64 y z) t)
5.0ms	(/.f64 (*.f64 y b) t)
14.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
6.0ms	(/.f64 (*.f64 y z) t)
5.0ms	(/.f64 (*.f64 y b) t)
46.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5002	1588

prune173.0ms

Filtered

72 candidates to 113 candidates (-56.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	101	12	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	12	114

Merged error: 12.1b

Counts

114 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y z) t))
4.5b	(/.f64 (*.f64 y z) t)
4.6b	(.f64 (.f64 y b) (/.f64 1 t))
13.1b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (.f64 (*.f64 y b) (/.f64 1 t))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log_binary64`
32×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
23×	`add-cbrt-cube_binary64`
22×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
13×	`associate-r_binary64` `prod-exp_binary64`
9×	`pow1_binary64`
7×	`cbrt-unprod_binary64` `div-exp_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `associate-/r/_binary64`
5×	`flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64` `flip-+_binary64`
4×	`frac-add_binary64`
3×	`pow-prod-down_binary64` `associate-*r/_binary64` `un-div-inv_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`associate-l_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 110

Calls

4 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
5.0ms	(/.f64 (*.f64 y z) t)
8.0ms	(.f64 (.f64 y b) (/.f64 1 t))
15.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (.f64 (*.f64 y b) (/.f64 1 t))))

series68.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
5.0ms	(/.f64 (*.f64 y z) t)
6.0ms	(.f64 (.f64 y b) (/.f64 1 t))
48.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (.f64 (*.f64 y b) (/.f64 1 t))))

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4980	1535
1	4980	1535

prune132.0ms

Filtered

70 candidates to 122 candidates (-74.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	122	12	134

Merged error: 12.1b

Counts

134 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y z) t))
4.1b	(/.f64 y (/.f64 t b))
4.5b	(/.f64 (*.f64 y z) t)
13.1b	(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 y (/.f64 t b))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64` `times-frac_binary64`
59×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
22×	`distribute-lft-out_binary64`
21×	`associate-/r*_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
7×	`div-inv_binary64`
6×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`associate-/r/_binary64`
4×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`associate-/l/_binary64` `frac-add_binary64`
1×	`cbrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 150

Calls

4 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
6.0ms	(/.f64 y (/.f64 t b))
5.0ms	(/.f64 (*.f64 y z) t)
25.0ms	(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 y (/.f64 t b))))

series67.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
6.0ms	(/.f64 y (/.f64 t b))
5.0ms	(/.f64 (*.f64 y z) t)
43.0ms	(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 y (/.f64 t b))))

simplify52.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4973	2210
1	4973	2210

prune176.0ms

Filtered

112 candidates to 162 candidates (-44.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	158	4	162
Fresh	3	7	10
Picked	1	0	1
Done	0	1	1
Total	162	12	174

Merged error: 11.1b

Counts

174 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

7.2b	(/.f64 (.f64 (cbrt.f64 (+.f64 x (/.f64 (.f64 y z) t))) (cbrt.f64 (+.f64 x (/.f64 (.f64 y z) t)))) (/.f64 (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)) (cbrt.f64 (+.f64 x (/.f64 (*.f64 y z) t)))))
10.3b	(cbrt.f64 (+.f64 x (/.f64 (*.f64 y z) t)))
10.3b	(cbrt.f64 (+.f64 x (/.f64 (*.f64 y z) t)))
10.3b	(cbrt.f64 (+.f64 x (/.f64 (*.f64 y z) t)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity_binary64`
111×	`times-frac_binary64`
55×	`distribute-lft-out_binary64`
52×	`cbrt-prod_binary64`
43×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
41×	`associate-/r*_binary64`
22×	`cbrt-div_binary64`
16×	`add-exp-log_binary64`
11×	`flip3-+_binary64` `flip-+_binary64`
10×	`add-cbrt-cube_binary64`
8×	`associate-/l/_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`associate-/r/_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `frac-times_binary64`
3×	`pow1/3_binary64` `div-inv_binary64`
2×	`cbrt-unprod_binary64` `associate-r/_binary64` `prod-exp_binary64` `associate-l/_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64`

Counts

4 → 152

Calls

4 calls:

32.0ms	(/.f64 (.f64 (cbrt.f64 (+.f64 x (/.f64 (.f64 y z) t))) (cbrt.f64 (+.f64 x (/.f64 (.f64 y z) t)))) (/.f64 (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)) (cbrt.f64 (+.f64 x (/.f64 (*.f64 y z) t)))))
5.0ms	(cbrt.f64 (+.f64 x (/.f64 (*.f64 y z) t)))
5.0ms	(cbrt.f64 (+.f64 x (/.f64 (*.f64 y z) t)))
5.0ms	(cbrt.f64 (+.f64 x (/.f64 (*.f64 y z) t)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/.f64 (.f64 (cbrt.f64 (+.f64 x (/.f64 (.f64 y z) t))) (cbrt.f64 (+.f64 x (/.f64 (.f64 y z) t)))) (/.f64 (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)) (cbrt.f64 (+.f64 x (/.f64 (*.f64 y z) t)))))
43.0ms	(cbrt.f64 (+.f64 x (/.f64 (*.f64 y z) t)))
47.0ms	(cbrt.f64 (+.f64 x (/.f64 (*.f64 y z) t)))
44.0ms	(cbrt.f64 (+.f64 x (/.f64 (*.f64 y z) t)))

simplify85.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4936	4945
1	4936	4945

prune131.0ms

Filtered

110 candidates to 164 candidates (-49.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	164	12	176

Merged error: 11.1b

Counts

176 → 12

regimes892.0ms

Accuracy

52.9% (3.1b remaining)

Error of 13.0b against oracle of 9.9b and baseline of 16.5b

bsearch38.0ms

Steps

Iters	Range		Point
9	4.486879954031491e-34	4.83475054881579e-25	1.3073725756224432e-25
6	-9.358050358893895e+86	-1.6301101849443176e+86	-3.2205559183799586e+86

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	65
1	47	65

end0.0ms

sample740.0ms

Algorithm

intervals

Results

434.0ms	8000×	body	80	valid
18.0ms	301×	body	80	invalid

Details

analyze1.3s

sample31.0ms

simplify6.0ms

prune5.0ms

localize12.0ms

rewrite33.0ms

series67.0ms

simplify46.0ms

prune173.0ms

localize16.0ms

rewrite37.0ms

series68.0ms

simplify49.0ms

prune132.0ms

localize12.0ms

rewrite47.0ms

series67.0ms

simplify52.0ms

prune176.0ms

localize17.0ms

rewrite54.0ms

series185.0ms

simplify85.0ms

prune131.0ms

regimes892.0ms

bsearch38.0ms

simplify2.0ms

end0.0ms

sample740.0ms

Profiling