Details

analyze932.0ms

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
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

simplify272.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (265.0ms)

Iter	Nodes	Cost
0	5601	16

prune1.0ms

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: 11.8b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
11.5b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_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-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 → 65

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z t))
8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

series500.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(*.f64 y (-.f64 z t))
255.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
184.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

simplify56.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5983	1037

prune56.0ms

Filtered

53 candidates to 74 candidates (-39.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	5	75

Merged error: 0.0b

Counts

75 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
1.8b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a 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 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
16.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

series524.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
264.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
176.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5050	2068

prune71.0ms

Filtered

81 candidates to 122 candidates (-50.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
24×	`distribute-lft-out--_binary64`
18×	`associate-r_binary64`
12×	`difference-of-squares_binary64`
9×	`add-cube-cbrt_binary64`
8×	`associate-/r/_binary64`
7×	`add-log-exp_binary64`
6×	`flip3--_binary64` `distribute-rgt-out--_binary64` `flip--_binary64`
5×	`sub-neg_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-*r/_binary64` `div-inv_binary64`
3×	`associate-l_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sub-div_binary64` `associate-+r+_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 80

Calls

3 calls:

7.0ms	(+.f64 x (*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))))
31.0ms	(-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))
40.0ms	(*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))

series714.0ms

Counts

3 → 9

Calls

3 calls:

330.0ms	(+.f64 x (*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))))
135.0ms	(-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))
249.0ms	(*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))

simplify72.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4959	1826
1	4959	1826

prune65.0ms

Filtered

67 candidates to 89 candidates (-32.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	89	5	94

Merged error: 0b

Counts

94 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
2.0b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64`
197×	`*-un-lft-identity_binary64`
195×	`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` `distribute-lft-out_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 206

Calls

3 calls:

12.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
31.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
14.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

series731.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
325.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
313.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

simplify98.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4992	5201
1	4992	5201

prune110.0ms

Filtered

146 candidates to 215 candidates (-47.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	215	5	220

Merged error: 0b

Counts

220 → 5

regimes92.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	22
1	33	22

end0.0ms

sample597.0ms

Algorithm

intervals

Results

295.0ms	7997×	body	128	valid
29.0ms	706×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Details

analyze932.0ms

sample22.0ms

simplify272.0ms

prune1.0ms

localize14.0ms

rewrite30.0ms

series500.0ms

simplify56.0ms

prune56.0ms

localize9.0ms

rewrite43.0ms

series524.0ms

simplify64.0ms

prune71.0ms

localize9.0ms

rewrite87.0ms

series714.0ms

simplify72.0ms

prune65.0ms

localize8.0ms

rewrite82.0ms

series731.0ms

simplify98.0ms

prune110.0ms

regimes92.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample597.0ms

Profiling