Details

analyze1.0s

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

sample24.0ms

Algorithm

intervals

Results

10.0ms	254×	body	80	valid
1.0ms	19×	body	80	invalid
0.0ms	2×	body	1280	valid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	5178	13

prune4.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 60.0 (-.f64 x y))
0.0b	(+.f64 (/.f64 (.f64 60.0 (-.f64 x y)) (-.f64 z t)) (.f64 a 120.0))
0.3b	(/.f64 (*.f64 60.0 (-.f64 x y)) (-.f64 z t))

rewrite29.0ms

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:

7.0ms	(*.f64 60.0 (-.f64 x y))
12.0ms	(+.f64 (/.f64 (.f64 60.0 (-.f64 x y)) (-.f64 z t)) (.f64 a 120.0))
9.0ms	(/.f64 (*.f64 60.0 (-.f64 x y)) (-.f64 z t))

series65.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 60.0 (-.f64 x y))
42.0ms	(+.f64 (/.f64 (.f64 60.0 (-.f64 x y)) (-.f64 z t)) (.f64 a 120.0))
18.0ms	(/.f64 (*.f64 60.0 (-.f64 x y)) (-.f64 z t))

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5472	730

prune93.0ms

Filtered

52 candidates to 73 candidates (-40.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 60.0 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120.0))
0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
0.3b	(/.f64 60.0 (/.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:

31.0ms	(+.f64 (/.f64 60.0 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120.0))
8.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
12.0ms	(/.f64 60.0 (/.f64 (-.f64 z t) (-.f64 x y)))

series109.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+.f64 (/.f64 60.0 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120.0))
18.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
50.0ms	(/.f64 60.0 (/.f64 (-.f64 z t) (-.f64 x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5143	3394

prune185.0ms

Filtered

144 candidates to 214 candidates (-48.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	215	6	221

Merged error: 0.0b

Counts

221 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 60.0 (-.f64 z t)) (-.f64 x y)) (.f64 a 120.0))
0.0b	(/.f64 60.0 (-.f64 z t))
0.2b	(*.f64 (/.f64 60.0 (-.f64 z t)) (-.f64 x y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r*_binary64`
4×	`sub-neg_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 98

Calls

3 calls:

12.0ms	(+.f64 (.f64 (/.f64 60.0 (-.f64 z t)) (-.f64 x y)) (.f64 a 120.0))
6.0ms	(/.f64 60.0 (-.f64 z t))
13.0ms	(*.f64 (/.f64 60.0 (-.f64 z t)) (-.f64 x y))

series103.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+.f64 (.f64 (/.f64 60.0 (-.f64 z t)) (-.f64 x y)) (.f64 a 120.0))
6.0ms	(/.f64 60.0 (-.f64 z t))
55.0ms	(*.f64 (/.f64 60.0 (-.f64 z t)) (-.f64 x y))

simplify45.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5130	1149

prune104.0ms

Filtered

78 candidates to 107 candidates (-37.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 60.0 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120.0))
0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.3b	(*.f64 60.0 (/.f64 (-.f64 x y) (-.f64 z t)))

rewrite38.0ms

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:

11.0ms	(+.f64 (.f64 60.0 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120.0))
8.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
14.0ms	(*.f64 60.0 (/.f64 (-.f64 x y) (-.f64 z t)))

series76.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+.f64 (.f64 60.0 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120.0))
17.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
19.0ms	(*.f64 60.0 (/.f64 (-.f64 x y) (-.f64 z t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4982	1408
1	4982	1408

prune85.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	122	6	128

Merged error: 0.0b

Counts

128 → 6

regimes1.1s

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	34	13
1	34	13

end0.0ms

sample646.0ms

Algorithm

intervals

Results

328.0ms	7860×	body	80	valid
30.0ms	660×	body	80	invalid
10.0ms	56×	body	1280	valid
6.0ms	40×	body	640	valid
4.0ms	18×	body	2560	valid
2.0ms	20×	body	320	valid
0.0ms	6×	body	160	valid

Details

analyze1.0s

sample24.0ms

simplify119.0ms

prune4.0ms

localize9.0ms

rewrite29.0ms

series65.0ms

simplify42.0ms

prune93.0ms

localize9.0ms

rewrite63.0ms

series109.0ms

simplify48.0ms

prune185.0ms

localize10.0ms

rewrite34.0ms

series103.0ms

simplify45.0ms

prune104.0ms

localize10.0ms

rewrite38.0ms

series76.0ms

simplify55.0ms

prune85.0ms

regimes1.1s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample646.0ms

Profiling