Details

analyze933.0ms

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

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	30×	body	80	invalid

simplify243.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (240.0ms)

Iter	Nodes	Cost
0	5600	11

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: 8.8b

Counts

2 → 1

localize8.0ms

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)))
9.3b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite27.0ms

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))

series60.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 y (-.f64 z t))
29.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
23.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

simplify47.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5392	699

prune51.0ms

Filtered

53 candidates to 74 candidates (-39.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	4	75

Merged error: 0.0b

Counts

75 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

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:

30.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
9.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
13.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

series81.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
13.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
30.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5287	3369

prune82.0ms

Filtered

145 candidates to 215 candidates (-48.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	215	4	219

Merged error: 0b

Counts

219 → 4

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))))
2.3b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite32.0ms

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:

8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
14.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

series62.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
29.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
23.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4984	1366
1	4984	1366

prune44.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	122	4	126

Merged error: 0b

Counts

126 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (-.f64 a t))
0.0b	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
11.1b	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

rewrite29.0ms

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` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `associate-+r+_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:

6.0ms	(/.f64 y (-.f64 a t))
4.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
13.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

series74.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 y (-.f64 a t))
37.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t)))
29.0ms	(*.f64 (/.f64 y (-.f64 a t)) (-.f64 z t))

simplify63.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4969	1109
1	4969	1109

prune38.0ms

Filtered

78 candidates to 107 candidates (-37.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	107	4	111

Merged error: 0b

Counts

111 → 4

regimes352.0ms

Accuracy

62.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	57
1	39	57

end0.0ms

sample600.0ms

Algorithm

intervals

Results

295.0ms	7997×	body	80	valid
26.0ms	773×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze933.0ms

sample24.0ms

simplify243.0ms

prune3.0ms

localize8.0ms

rewrite27.0ms

series60.0ms

simplify47.0ms

prune51.0ms

localize8.0ms

rewrite64.0ms

series81.0ms

simplify63.0ms

prune82.0ms

localize9.0ms

rewrite32.0ms

series62.0ms

simplify47.0ms

prune44.0ms

localize8.0ms

rewrite29.0ms

series74.0ms

simplify63.0ms

prune38.0ms

regimes352.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample600.0ms

Profiling