Details

analyze331.0ms

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

sample91.0ms

Algorithm

intervals

Results

23.0ms	47×	body	1280	invalid
15.0ms	200×	body	80	valid
14.0ms	41×	body	640	invalid
8.0ms	23×	body	640	valid
4.0ms	8×	body	1280	valid
4.0ms	18×	body	320	valid
3.0ms	15×	body	320	invalid
2.0ms	14×	body	160	invalid
2.0ms	19×	body	80	invalid
1.0ms	7×	body	160	valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4970	7
1	4970	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: 15.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
15.2b	(/.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)

series50.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh.f64 y)
18.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
25.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4995	419
1	4995	419

prune46.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	49	9	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	9	59

Merged error: 0b

Counts

59 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (sinh.f64 y))
0.0b	(sinh.f64 y)
0.7b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac_binary64`
54×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`sinh-def_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 110

Calls

3 calls:

4.0ms	(/.f64 x (sinh.f64 y))
1.0ms	(sinh.f64 y)
7.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

series54.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/.f64 x (sinh.f64 y))
7.0ms	(sinh.f64 y)
21.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4919	1371
1	4919	1371

prune82.0ms

Filtered

98 candidates to 119 candidates (-21.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	120	8	128

Merged error: 0b

Counts

128 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `sinh-def_binary64` `associate-r_binary64` `associate-/l_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

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

series33.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh.f64 y)
21.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
5.0ms	(/.f64 (sin.f64 x) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4960	622
1	4960	622

prune39.0ms

Filtered

62 candidates to 78 candidates (-25.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	78	8	86

Merged error: 0b

Counts

86 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
15.3b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

1.0ms	(sinh.f64 y)
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
11.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))

series49.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh.f64 y)
18.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
24.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))

simplify38.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5276	602

prune23.0ms

Filtered

48 candidates to 76 candidates (-58.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	76	8	84

Merged error: 0b

Counts

84 → 8

regimes161.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b 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

sample1.8s

Algorithm

intervals

Results

430.0ms	1467×	body	1280	invalid
273.0ms	6064×	body	80	valid
242.0ms	1277×	body	640	invalid
150.0ms	733×	body	640	valid
135.0ms	383×	body	1280	valid
92.0ms	682×	body	320	invalid
75.0ms	519×	body	320	valid
38.0ms	618×	body	80	invalid
30.0ms	315×	body	160	invalid
29.0ms	301×	body	160	valid

Details

analyze331.0ms

sample91.0ms

simplify44.0ms

prune2.0ms

localize6.0ms

rewrite13.0ms

series50.0ms

simplify41.0ms

prune46.0ms

localize6.0ms

rewrite16.0ms

series54.0ms

simplify74.0ms

prune82.0ms

localize6.0ms

rewrite15.0ms

series33.0ms

simplify55.0ms

prune39.0ms

localize8.0ms

rewrite20.0ms

series49.0ms

simplify38.0ms

prune23.0ms

regimes161.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling