Details

analyze557.0ms

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
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

sample19.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify195.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (192.0ms)

Iter	Nodes	Cost
0	5403	9

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: 3.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
2.9b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-l_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

8.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
12.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

series34.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
24.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

simplify49.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5649	1183

prune113.0ms

Filtered

72 candidates to 108 candidates (-50.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Merged error: 0.0b

Counts

109 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z y))
0.6b	(cbrt.f64 (-.f64 z y))
0.6b	(cbrt.f64 (-.f64 z y))
6.7b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (*.f64 t (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z y)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log_binary64`
44×	`prod-exp_binary64`
31×	`add-cbrt-cube_binary64`
19×	`div-exp_binary64`
18×	`cbrt-div_binary64` `cbrt-unprod_binary64`
15×	`-un-lft-identity_binary64` `associate-l*_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
9×	`pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `flip--_binary64`
8×	`associate-/r/_binary64`
6×	`1-exp_binary64` `rec-exp_binary64`
5×	`associate-*r/_binary64` `frac-times_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow1/3_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `associate-*l/_binary64`
1×	`associate-r_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 z y))
28.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (*.f64 t (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z y)))))

series104.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt.f64 (-.f64 z y))
26.0ms	(cbrt.f64 (-.f64 z y))
23.0ms	(cbrt.f64 (-.f64 z y))
31.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (*.f64 t (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z y)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4971	1172
1	4971	1172

prune110.0ms

Filtered

77 candidates to 116 candidates (-50.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z y) (-.f64 x y))
2.9b	(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 194

Calls

2 calls:

8.0ms	(/.f64 (-.f64 z y) (-.f64 x y))
13.0ms	(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))

series41.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 z y) (-.f64 x y))
31.0ms	(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5078	3157

prune172.0ms

Filtered

134 candidates to 200 candidates (-49.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	195	5	200
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	198	10	208

Merged error: 0b

Counts

208 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 t (-.f64 z y))
0.0b	(/.f64 1 (-.f64 x y))
9.9b	(/.f64 (/.f64 t (-.f64 z y)) (/.f64 1 (-.f64 x y)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac_binary64`
699×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
419×	`add-cube-cbrt_binary64`
140×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
93×	`associate-/r/_binary64`
47×	`div-inv_binary64`
46×	`flip3--_binary64` `flip--_binary64`
31×	`associate-/r*_binary64` `add-exp-log_binary64`
27×	`associate-/l*_binary64`
19×	`add-cbrt-cube_binary64` `div-exp_binary64`
10×	`cbrt-undiv_binary64`
4×	`pow1_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`associate-/l/_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 585

Calls

3 calls:

6.0ms	(/.f64 t (-.f64 z y))
6.0ms	(/.f64 1 (-.f64 x y))
25.0ms	(/.f64 (/.f64 t (-.f64 z y)) (/.f64 1 (-.f64 x y)))

series42.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 t (-.f64 z y))
5.0ms	(/.f64 1 (-.f64 x y))
29.0ms	(/.f64 (/.f64 t (-.f64 z y)) (/.f64 1 (-.f64 x y)))

simplify123.0ms

Algorithm

egg-herbie

Counts

594 → 594

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5068	12289

prune422.0ms

Filtered

299 candidates to 594 candidates (-98.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	592	2	594
Fresh	2	5	7
Picked	1	0	1
Done	0	2	2
Total	595	9	604

Merged error: 0b

Counts

604 → 9

regimes736.0ms

Accuracy

54.1% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	72
1	42	72

end0.0ms

sample484.0ms

Algorithm

intervals

Results

248.0ms	8000×	body	80	valid
16.0ms	560×	body	80	invalid

Details

analyze557.0ms

sample19.0ms

simplify195.0ms

prune4.0ms

localize7.0ms

rewrite29.0ms

series34.0ms

simplify49.0ms

prune113.0ms

localize12.0ms

rewrite43.0ms

series104.0ms

simplify54.0ms

prune110.0ms

localize8.0ms

rewrite33.0ms

series41.0ms

simplify55.0ms

prune172.0ms

localize10.0ms

rewrite92.0ms

series42.0ms

simplify123.0ms

prune422.0ms

regimes736.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample484.0ms

Profiling