Details

analyze326.0ms

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
25%	74.9%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

sample55.0ms

Algorithm

intervals

Results

14.0ms	48×	body	1280	invalid
9.0ms	208×	body	80	valid
7.0ms	36×	body	640	invalid
5.0ms	24×	body	640	valid
3.0ms	9×	body	1280	valid
3.0ms	23×	body	320	invalid
1.0ms	9×	body	320	valid
1.0ms	14×	body	80	invalid
1.0ms	7×	body	160	invalid
1.0ms	6×	body	160	valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5502	11

prune1.0ms

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: 13.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
13.1b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite13.0ms

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` `associate-*r/_binary64` `prod-exp_binary64` `div-exp_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 (sin.f64 x) (sinh.f64 y))
6.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series203.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(sinh.f64 y)
76.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
92.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5691	673

prune41.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	51	7	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	7	59

Merged error: 0b

Counts

59 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 (sinh.f64 y) x)
0.4b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

rewrite14.0ms

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)
4.0ms	(/.f64 (sinh.f64 y) x)
7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

series195.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(sinh.f64 y)
64.0ms	(/.f64 (sinh.f64 y) x)
94.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

simplify80.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4930	1011
1	4930	1011

prune43.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	77	7	84

Merged error: 0b

Counts

84 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.2b	(*.f64 (sinh.f64 y) (/.f64 1 x))
0.4b	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`add-cbrt-cube_binary64`
14×	`associate-r_binary64`
13×	`*-un-lft-identity_binary64` `prod-exp_binary64`
12×	`add-cube-cbrt_binary64`
11×	`times-frac_binary64`
10×	`pow1_binary64`
7×	`cbrt-unprod_binary64`
6×	`associate-r/_binary64` `associate-l*_binary64`
5×	`sinh-def_binary64`
4×	`pow-prod-down_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `unswap-sqr_binary64`
2×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `un-div-inv_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`div-inv_binary64`

Counts

3 → 72

Calls

3 calls:

1.0ms	(sinh.f64 y)
8.0ms	(*.f64 (sinh.f64 y) (/.f64 1 x))
9.0ms	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 x)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(sinh.f64 y)
63.0ms	(*.f64 (sinh.f64 y) (/.f64 1 x))
115.0ms	(.f64 (sin.f64 x) (.f64 (sinh.f64 y) (/.f64 1 x)))

simplify80.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4976	868
1	4976	868

prune40.0ms

Filtered

53 candidates to 81 candidates (-52.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	81	7	88

Merged error: 0b

Counts

88 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series355.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
83.0ms	(cbrt.f64 x)
86.0ms	(cbrt.f64 x)
87.0ms	(cbrt.f64 x)

simplify97.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4937	588
1	4937	588

prune48.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 0b

Counts

92 → 7

regimes40.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

435.0ms	1506×	body	1280	invalid
267.0ms	6071×	body	80	valid
229.0ms	1128×	body	640	invalid
159.0ms	749×	body	640	valid
133.0ms	378×	body	1280	valid
86.0ms	606×	body	320	invalid
67.0ms	499×	body	320	valid
31.0ms	564×	body	80	invalid
28.0ms	297×	body	160	invalid
28.0ms	303×	body	160	valid

Details

analyze326.0ms

sample55.0ms

simplify97.0ms

prune1.0ms

localize7.0ms

rewrite13.0ms

series203.0ms

simplify73.0ms

prune41.0ms

localize8.0ms

rewrite14.0ms

series195.0ms

simplify80.0ms

prune43.0ms

localize8.0ms

rewrite20.0ms

series214.0ms

simplify80.0ms

prune40.0ms

localize11.0ms

rewrite11.0ms

series355.0ms

simplify97.0ms

prune48.0ms

regimes40.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.7s

Profiling