Details

analyze599.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

sample24.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
4.0ms	91×	body	80	invalid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5100	13

prune17.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))
0.0b	(/.f64 (+.f64 x z) y)
0.2b	(/.f64 (+.f64 y (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))) 2.0)
0.3b	(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64`
37×	`add-sqr-sqrt_binary64`
34×	`times-frac_binary64`
30×	`add-cube-cbrt_binary64`
16×	`associate-r_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64` `associate-/l*_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64`
5×	`associate-l_binary64`
4×	`associate-/l/_binary64`
3×	`flip3-+_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 114

Calls

4 calls:

7.0ms	(+.f64 y (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))
6.0ms	(/.f64 (+.f64 x z) y)
6.0ms	(/.f64 (+.f64 y (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))) 2.0)
12.0ms	(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))

series48.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+.f64 y (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))
6.0ms	(/.f64 (+.f64 x z) y)
16.0ms	(/.f64 (+.f64 y (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))) 2.0)
13.0ms	(*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))

simplify29.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5039	1611

prune123.0ms

Filtered

89 candidates to 126 candidates (-41.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	118	8	126
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	118	10	128

Merged error: 0b

Counts

128 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 x z))
0.2b	(/.f64 (+.f64 y (*.f64 (-.f64 x z) (/.f64 1 (/.f64 y (+.f64 x z))))) 2.0)
0.3b	(*.f64 (-.f64 x z) (/.f64 1 (/.f64 y (+.f64 x z))))
0.7b	(/.f64 1 (/.f64 y (+.f64 x z)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

219×	`times-frac_binary64`
170×	`*-un-lft-identity_binary64`
132×	`add-sqr-sqrt_binary64`
116×	`add-cube-cbrt_binary64`
59×	`associate-r_binary64`
38×	`add-exp-log_binary64`
25×	`associate-/r*_binary64` `distribute-lft-out_binary64`
22×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
16×	`div-exp_binary64`
11×	`div-inv_binary64`
9×	`flip3-+_binary64` `associate-/l*_binary64` `flip-+_binary64`
8×	`cbrt-undiv_binary64`
7×	`pow1_binary64` `prod-exp_binary64`
5×	`associate-l_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`cbrt-unprod_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `difference-of-squares_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

4 → 252

Calls

4 calls:

7.0ms	(/.f64 y (+.f64 x z))
6.0ms	(/.f64 (+.f64 y (*.f64 (-.f64 x z) (/.f64 1 (/.f64 y (+.f64 x z))))) 2.0)
23.0ms	(*.f64 (-.f64 x z) (/.f64 1 (/.f64 y (+.f64 x z))))
8.0ms	(/.f64 1 (/.f64 y (+.f64 x z)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/.f64 y (+.f64 x z))
16.0ms	(/.f64 (+.f64 y (*.f64 (-.f64 x z) (/.f64 1 (/.f64 y (+.f64 x z))))) 2.0)
13.0ms	(*.f64 (-.f64 x z) (/.f64 1 (/.f64 y (+.f64 x z))))
8.0ms	(/.f64 1 (/.f64 y (+.f64 x z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5502	3163

prune184.0ms

Filtered

166 candidates to 264 candidates (-59.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	263	1	264
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	268	6	274

Merged error: 0b

Counts

274 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))
0.0b	(/.f64 y (+.f64 x z))
0.2b	(/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))
0.2b	(/.f64 (+.f64 y (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))) 2.0)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

186×	`times-frac_binary64`
181×	`*-un-lft-identity_binary64`
127×	`add-sqr-sqrt_binary64`
89×	`add-cube-cbrt_binary64`
27×	`distribute-lft-out_binary64`
25×	`associate-/r*_binary64`
19×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`associate-/r/_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/l*_binary64`
9×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`associate-+r-_binary64`
1×	`flip3--_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 211

Calls

4 calls:

25.0ms	(+.f64 y (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))
5.0ms	(/.f64 y (+.f64 x z))
12.0ms	(/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))
31.0ms	(/.f64 (+.f64 y (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))) 2.0)

series54.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+.f64 y (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z))))
8.0ms	(/.f64 y (+.f64 x z))
14.0ms	(/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))
18.0ms	(/.f64 (+.f64 y (/.f64 (-.f64 x z) (/.f64 y (+.f64 x z)))) 2.0)

simplify51.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5235	3546

prune149.0ms

Filtered

146 candidates to 223 candidates (-52.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	223	6	229

Merged error: 0b

Counts

229 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))) (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))))
8.6b	(cbrt.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))
8.6b	(cbrt.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))
8.6b	(cbrt.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

75×	`cbrt-div_binary64`
55×	`frac-times_binary64`
35×	`associate-*l/_binary64`
30×	`flip3--_binary64` `flip--_binary64`
20×	`associate-*r/_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 108

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))) (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))))
8.0ms	(cbrt.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))
8.0ms	(cbrt.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))
10.0ms	(cbrt.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))

series160.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))) (cbrt.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y))))
36.0ms	(cbrt.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))
38.0ms	(cbrt.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))
36.0ms	(cbrt.f64 (*.f64 (-.f64 x z) (/.f64 (+.f64 x z) y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5388	2328

prune113.0ms

Filtered

91 candidates to 120 candidates (-31.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	120	6	126

Merged error: 0b

Counts

126 → 6

regimes368.0ms

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	22	13
1	22	13

end0.0ms

sample679.0ms

Algorithm

intervals

Results

332.0ms	8000×	body	80	valid
119.0ms	2921×	body	80	invalid

Details

analyze599.0ms

sample24.0ms

simplify80.0ms

prune17.0ms

localize14.0ms

rewrite34.0ms

series48.0ms

simplify29.0ms

prune123.0ms

localize9.0ms

rewrite55.0ms

series45.0ms

simplify61.0ms

prune184.0ms

localize9.0ms

rewrite86.0ms

series54.0ms

simplify51.0ms

prune149.0ms

localize13.0ms

rewrite39.0ms

series160.0ms

simplify43.0ms

prune113.0ms

regimes368.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample679.0ms

Profiling