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

sample24.0ms

Algorithm

intervals

Results

10.0ms	250×	body	80	valid
1.0ms	21×	body	80	invalid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	5120	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5067	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: 0.1b

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))

rewrite35.0ms

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))
14.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

series59.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+.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))

simplify46.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5834	718

prune74.0ms

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 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
5×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`associate-/l*_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `pow1_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

2 → 50

Calls

2 calls:

13.0ms	(+.f64 (/.f64 (+.f64 (.f64 60 x) (.f64 y -60)) (-.f64 z t)) (*.f64 a 120))
10.0ms	(/.f64 (+.f64 (.f64 60 x) (.f64 y -60)) (-.f64 z t))

series57.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+.f64 (/.f64 (+.f64 (.f64 60 x) (.f64 y -60)) (-.f64 z t)) (*.f64 a 120))
20.0ms	(/.f64 (+.f64 (.f64 60 x) (.f64 y -60)) (-.f64 z t))

simplify35.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5342	944

prune52.0ms

Filtered

43 candidates to 56 candidates (-30.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
0.5b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite65.0ms

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:

29.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
9.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
15.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
14.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
51.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4958	3387
1	4958	3387

prune114.0ms

Filtered

144 candidates to 214 candidates (-48.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	215	6	221

Merged error: 0.0b

Counts

221 → 6

localize9.0ms

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)))

rewrite43.0ms

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))
15.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

series70.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
15.0ms	(/.f64 (-.f64 x y) (-.f64 z t))
17.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5988	1400

prune48.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	122	6	128

Merged error: 0.0b

Counts

128 → 6

regimes642.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample670.0ms

Algorithm

intervals

Results

339.0ms	7856×	body	80	valid
27.0ms	683×	body	80	invalid
11.0ms	61×	body	1280	valid
5.0ms	36×	body	640	valid
5.0ms	23×	body	2560	valid
2.0ms	14×	body	320	valid
1.0ms	9×	body	160	valid
1.0ms	1×	body	5120	valid

Details

analyze1.1s

sample24.0ms

simplify107.0ms

prune3.0ms

localize10.0ms

rewrite35.0ms

series59.0ms

simplify46.0ms

prune74.0ms

localize10.0ms

rewrite24.0ms

series57.0ms

simplify35.0ms

prune52.0ms

localize9.0ms

rewrite65.0ms

series103.0ms

simplify81.0ms

prune114.0ms

localize9.0ms

rewrite43.0ms

series70.0ms

simplify57.0ms

prune48.0ms

regimes642.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample670.0ms

Profiling