Details

analyze349.0ms

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
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

sample66.0ms

Algorithm

intervals

Results

14.0ms	48×	body	1280	invalid
11.0ms	35×	body	1280	valid
8.0ms	42×	body	640	valid
7.0ms	33×	body	640	invalid
6.0ms	146×	body	80	valid
3.0ms	24×	body	320	valid
2.0ms	17×	body	320	invalid
1.0ms	9×	body	160	valid
1.0ms	8×	body	160	invalid
1.0ms	9×	body	80	invalid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4909	7
1	4909	7

prune2.0ms

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.0b	(/.f64 (sinh.f64 y) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`sinh-def_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

1.0ms	(sinh.f64 y)
8.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.f64 (sinh.f64 y) y)

series44.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh.f64 y)
23.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
13.0ms	(/.f64 (sinh.f64 y) y)

simplify77.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4928	621
1	4928	621

prune40.0ms

Filtered

62 candidates to 77 candidates (-24.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sinh.f64 y) (cos.f64 x))
0.1b	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `sinh-def_binary64` `associate-r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh.f64 y)
5.0ms	(*.f64 (sinh.f64 y) (cos.f64 x))
6.0ms	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)

series42.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh.f64 y)
16.0ms	(*.f64 (sinh.f64 y) (cos.f64 x))
18.0ms	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)

simplify46.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5809	441

prune27.0ms

Filtered

44 candidates to 58 candidates (-31.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
0.0b	(/.f64 (sinh.f64 y) y)
0.4b	(pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3)
0.5b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`times-frac_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-l_binary64`
9×	`pow1_binary64`
8×	`cbrt-prod_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `rem-cube-cbrt_binary64` `associate-/l_binary64` `div-exp_binary64` `pow-exp_binary64` `associate-*l/_binary64`
2×	`pow-prod-down_binary64` `pow-pow_binary64` `sqr-pow_binary64` `cube-div_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `div-inv_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `associate-/l/_binary64` `rem-cbrt-cube_binary64` `sinh-def_binary64` `pow1/3_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

8.0ms	(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
4.0ms	(/.f64 (sinh.f64 y) y)
7.0ms	(pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3))

series94.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
12.0ms	(/.f64 (sinh.f64 y) y)
37.0ms	(pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3)
26.0ms	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3))

simplify36.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5139	1036

prune48.0ms

Filtered

87 candidates to 115 candidates (-32.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	115	3	118

Merged error: 0b

Counts

118 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 y y) 1/6) (+.f64 1 (*.f64 1/120 (pow.f64 y 4))))
0.0b	(.f64 (cos.f64 x) (+.f64 (.f64 (.f64 y y) 1/6) (+.f64 1 (.f64 1/120 (pow.f64 y 4)))))
0.1b	(*.f64 1/120 (pow.f64 y 4))
0.2b	(.f64 (.f64 y y) 1/6)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64`
13×	`associate-r_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`add-log-exp_binary64`
7×	`associate-l_binary64` `prod-exp_binary64`
5×	`cbrt-unprod_binary64` `unswap-sqr_binary64`
4×	`pow-prod-down_binary64` `unpow-prod-down_binary64`
3×	`sum-log_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `associate-+r+_binary64` `pow-exp_binary64`

Counts

4 → 79

Calls

4 calls:

10.0ms	(+.f64 (.f64 (.f64 y y) 1/6) (+.f64 1 (*.f64 1/120 (pow.f64 y 4))))
12.0ms	(.f64 (cos.f64 x) (+.f64 (.f64 (.f64 y y) 1/6) (+.f64 1 (.f64 1/120 (pow.f64 y 4)))))
8.0ms	(*.f64 1/120 (pow.f64 y 4))
6.0ms	(.f64 (.f64 y y) 1/6)

series42.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 (.f64 (.f64 y y) 1/6) (+.f64 1 (*.f64 1/120 (pow.f64 y 4))))
28.0ms	(.f64 (cos.f64 x) (+.f64 (.f64 (.f64 y y) 1/6) (+.f64 1 (.f64 1/120 (pow.f64 y 4)))))
5.0ms	(*.f64 1/120 (pow.f64 y 4))
4.0ms	(.f64 (.f64 y y) 1/6)

simplify81.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4922	1016
1	4922	1016

prune53.0ms

Filtered

60 candidates to 91 candidates (-51.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	91	3	94

Merged error: 0b

Counts

94 → 3

regimes89.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample2.1s

Algorithm

intervals

Results

461.0ms	1433×	body	1280	valid
420.0ms	1436×	body	1280	invalid
241.0ms	1257×	body	640	valid
221.0ms	1214×	body	640	invalid
192.0ms	4381×	body	80	valid
79.0ms	631×	body	320	valid
79.0ms	610×	body	320	invalid
37.0ms	546×	body	80	invalid
30.0ms	298×	body	160	valid
28.0ms	313×	body	160	invalid

Details

analyze349.0ms

sample66.0ms

simplify50.0ms

prune2.0ms

localize7.0ms

rewrite20.0ms

series44.0ms

simplify77.0ms

prune40.0ms

localize7.0ms

rewrite14.0ms

series42.0ms

simplify46.0ms

prune27.0ms

localize9.0ms

rewrite25.0ms

series94.0ms

simplify36.0ms

prune48.0ms

localize12.0ms

rewrite39.0ms

series42.0ms

simplify81.0ms

prune53.0ms

regimes89.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.1s

Profiling