Details

analyze634.0ms

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample26.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	70×	body	80	invalid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

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: 1.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.2b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series28.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
15.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify51.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5329	557

prune75.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
1.5b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
14×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
9×	`cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
6×	`pow1_binary64`
5×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1/3_binary64`
2×	`flip3--_binary64` `unswap-sqr_binary64` `times-frac_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` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
15.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

series109.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)
19.0ms	(cbrt.f64 z)
53.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

simplify68.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4944	705
1	4944	705

prune88.0ms

Filtered

62 candidates to 81 candidates (-30.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	80	9	89

Merged error: 0.0b

Counts

89 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

6.2b	(*.f64 (-.f64 y x) (/.f64 z t))
6.9b	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
6.9b	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
6.9b	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
15×	`cbrt-div_binary64`
14×	`*-un-lft-identity_binary64`
13×	`associate-r_binary64`
12×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
6×	`pow1_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow1/3_binary64` `cbrt-prod_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
7.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
6.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
9.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
47.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
49.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
46.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5397	1051

prune99.0ms

Filtered

77 candidates to 92 candidates (-19.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
3.3b	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
25×	`add-exp-log_binary64`
24×	`*-un-lft-identity_binary64`
22×	`associate-r_binary64` `add-cube-cbrt_binary64`
20×	`cbrt-prod_binary64`
18×	`add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
17.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 t)
21.0ms	(cbrt.f64 t)
18.0ms	(cbrt.f64 t)
21.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5061	945

prune85.0ms

Filtered

83 candidates to 106 candidates (-27.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	106	9	115

Merged error: 0.0b

Counts

115 → 9

regimes484.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	23
1	27	23

end0.0ms

sample568.0ms

Algorithm

intervals

Results

250.0ms	8000×	body	80	valid
61.0ms	2099×	body	80	invalid

Details

analyze634.0ms

sample26.0ms

simplify43.0ms

prune3.0ms

localize6.0ms

rewrite15.0ms

series28.0ms

simplify51.0ms

prune75.0ms

localize14.0ms

rewrite20.0ms

series109.0ms

simplify68.0ms

prune88.0ms

localize10.0ms

rewrite35.0ms

series158.0ms

simplify44.0ms

prune99.0ms

localize12.0ms

rewrite24.0ms

series78.0ms

simplify45.0ms

prune85.0ms

regimes484.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample568.0ms

Profiling