Details

analyze1.1s

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
14.9%	84.9%	0.2%	13
16.2%	83.5%	0.3%	14

sample34.0ms

Algorithm

intervals

Results

13.0ms	218×	body	80	valid
2.0ms	52×	body	80	invalid
2.0ms	13×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	6×	body	1280	valid
0.0ms	6×	body	160	valid
0.0ms	1×	body	2560	valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4912	13
1	4912	13

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: 22.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) (-.f64 z t))
1.5b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
17.1b	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

10.0ms	(*.f64 (-.f64 y x) (-.f64 z t))
8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
13.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))

series108.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(*.f64 (-.f64 y x) (-.f64 z t))
57.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
40.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))

simplify48.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	6015	1085

prune97.0ms

Filtered

67 candidates to 88 candidates (-31.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	75	13	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	13	89

Merged error: 3.9b

Counts

89 → 13

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.5b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
1.8b	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64`
73×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
23×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `associate-l_binary64` `associate-/l_binary64` `flip--_binary64`
4×	`associate-/r/_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 119

Calls

3 calls:

8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
5.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
18.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))

series106.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
59.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
36.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5068	1606

prune95.0ms

Filtered

84 candidates to 128 candidates (-52.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	120	8	128
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	127	14	141

Merged error: 3.9b

Counts

141 → 14

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
1.5b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))
2.1b	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac_binary64`
323×	`*-un-lft-identity_binary64`
321×	`add-sqr-sqrt_binary64`
113×	`add-cube-cbrt_binary64`
104×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
15×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`div-inv_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64` `div-sub_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 274

Calls

3 calls:

9.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
44.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))
17.0ms	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))

series117.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
59.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t))))
48.0ms	(/.f64 (-.f64 y x) (/.f64 (-.f64 a t) (-.f64 z t)))

simplify73.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5092	5477

prune131.0ms

Filtered

171 candidates to 283 candidates (-65.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	277	6	283
Fresh	5	8	13
Picked	0	1	1
Done	0	0	0
Total	282	15	297

Merged error: 3.9b

Counts

297 → 15

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 a t))
0.2b	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
1.8b	(.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))
2.5b	(+.f64 x (.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt_binary64`
44×	`*-un-lft-identity_binary64`
32×	`add-exp-log_binary64` `times-frac_binary64`
25×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
20×	`add-cbrt-cube_binary64` `frac-times_binary64`
17×	`flip3--_binary64` `flip--_binary64`
13×	`prod-exp_binary64`
12×	`pow1_binary64`
10×	`associate-r/_binary64` `associate-l_binary64` `associate-l/_binary64`
9×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cbrt-unprod_binary64`
6×	`add-log-exp_binary64` `div-exp_binary64`
5×	`associate-/r*_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `un-div-inv_binary64`
3×	`1-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`div-inv_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 146

Calls

4 calls:

6.0ms	(/.f64 1 (-.f64 a t))
14.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
17.0ms	(.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))
5.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))

series110.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/.f64 1 (-.f64 a t))
12.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))
36.0ms	(.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t))))
58.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 (-.f64 z t) (/.f64 1 (-.f64 a t)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5748	1773

prune60.0ms

Filtered

100 candidates to 158 candidates (-58.0%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	158	15	173

Merged error: 3.9b

Counts

173 → 15

regimes563.0ms

Accuracy

46.5% (3.8b remaining)

Error of 7.9b against oracle of 4.1b and baseline of 11.2b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	86	59
1	86	59

end0.0ms

sample812.0ms

Algorithm

intervals

Results

271.0ms	6627×	body	80	valid
64.0ms	445×	body	640	valid
58.0ms	261×	body	1280	valid
51.0ms	1183×	body	80	invalid
44.0ms	405×	body	320	valid
18.0ms	248×	body	160	valid
3.0ms	14×	body	2560	valid

Details

analyze1.1s

sample34.0ms

simplify68.0ms

prune3.0ms

localize9.0ms

rewrite35.0ms

series108.0ms

simplify48.0ms

prune97.0ms

localize12.0ms

rewrite37.0ms

series106.0ms

simplify48.0ms

prune95.0ms

localize10.0ms

rewrite94.0ms

series117.0ms

simplify73.0ms

prune131.0ms

localize10.0ms

rewrite48.0ms

series110.0ms

simplify50.0ms

prune60.0ms

regimes563.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample812.0ms

Profiling