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
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

sample25.0ms

Algorithm

intervals

Results

10.0ms	255×	body	80	valid
1.0ms	29×	body	80	invalid
0.0ms	1×	body	1280	valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5067	13

prune9.0ms

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: 0.2b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.0b	(*.f64 60 (-.f64 x y))
0.2b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r*_binary64` `times-frac_binary64`
4×	`associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `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-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 → 64

Calls

3 calls:

12.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
7.0ms	(*.f64 60 (-.f64 x y))
10.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

series60.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
5.0ms	(*.f64 60 (-.f64 x y))
17.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

simplify41.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5834	718

prune105.0ms

Filtered

52 candidates to 73 candidates (-40.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	66	7	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
0.0b	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
0.7b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64`
195×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
91×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 205

Calls

3 calls:

9.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
29.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
12.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

series98.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
39.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
45.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4958	3387
1	4958	3387

prune190.0ms

Filtered

144 candidates to 214 candidates (-48.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	214	7	221

Merged error: 0.0b

Counts

221 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.3b	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
22×	`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` `associate-/l_binary64`
4×	`associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_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` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

12.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
9.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
14.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

series69.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
14.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
17.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5988	1400

prune114.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	122	7	129

Merged error: 0.0b

Counts

129 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t)) (*.f64 a 120))
0.2b	(*.f64 (-.f64 x y) (sqrt.f64 60))
0.2b	(/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t))
0.3b	(.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`*-un-lft-identity_binary64`
11×	`pow1_binary64` `add-cube-cbrt_binary64` `associate-l_binary64`
7×	`cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*l/_binary64`
5×	`associate-/r*_binary64` `times-frac_binary64`
4×	`pow-prod-down_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
3×	`cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 91

Calls

4 calls:

17.0ms	(+.f64 (/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t)) (*.f64 a 120))
8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 60))
14.0ms	(/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t))
10.0ms	(.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+.f64 (/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t)) (*.f64 a 120))
7.0ms	(*.f64 (-.f64 x y) (sqrt.f64 60))
30.0ms	(/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t))
11.0ms	(.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60)))

simplify46.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4978	988
1	4978	988

prune85.0ms

Filtered

70 candidates to 103 candidates (-47.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	103	7	110

Merged error: 0.0b

Counts

110 → 7

regimes1.0s

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	13
1	33	13

end0.0ms

sample667.0ms

Algorithm

intervals

Results

331.0ms	7850×	body	80	valid
30.0ms	667×	body	80	invalid
11.0ms	60×	body	1280	valid
6.0ms	27×	body	2560	valid
4.0ms	24×	body	640	valid
3.0ms	26×	body	320	valid
1.0ms	12×	body	160	valid
0.0ms	1×	body	5120	valid

Details

analyze1.1s

sample25.0ms

simplify104.0ms

prune9.0ms

localize10.0ms

rewrite30.0ms

series60.0ms

simplify41.0ms

prune105.0ms

localize10.0ms

rewrite63.0ms

series98.0ms

simplify73.0ms

prune190.0ms

localize10.0ms

rewrite40.0ms

series69.0ms

simplify58.0ms

prune114.0ms

localize12.0ms

rewrite52.0ms

series106.0ms

simplify46.0ms

prune85.0ms

regimes1.0s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample667.0ms

Profiling