Details

analyze351.0ms

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
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

sample79.0ms

Algorithm

intervals

Results

18.0ms	54×	body	1280	invalid
16.0ms	48×	body	1280	valid
9.0ms	43×	body	640	invalid
8.0ms	33×	body	640	valid
8.0ms	144×	body	80	valid
3.0ms	18×	body	320	invalid
2.0ms	16×	body	320	valid
2.0ms	15×	body	160	invalid
2.0ms	15×	body	160	valid
1.0ms	11×	body	80	invalid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4988	7
1	4988	7

prune5.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

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

series26.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify53.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5777	568

prune47.0ms

Filtered

53 candidates to 67 candidates (-26.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	57	10	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	10	68

Merged error: 0b

Counts

68 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `prod-exp_binary64` `div-exp_binary64` `cosh-def_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

2 → 41

Calls

2 calls:

5.0ms	(*.f64 (sin.f64 y) (cosh.f64 x))
6.0ms	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)

series40.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(*.f64 (sin.f64 y) (cosh.f64 x))
21.0ms	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4957	356
1	4957	356

prune30.0ms

Filtered

33 candidates to 47 candidates (-42.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Merged error: 0b

Counts

57 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac_binary64`
103×	`add-sqr-sqrt_binary64`
91×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`
35×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
7×	`cbrt-undiv_binary64` `prod-exp_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
5×	`unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `cosh-def_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `pow-flip_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 178

Calls

3 calls:

18.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series30.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
4.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
7.0ms	(/.f64 y (sin.f64 y))

simplify71.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4952	1761
1	4952	1761

prune78.0ms

Filtered

123 candidates to 187 candidates (-52.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	187	9	196

Merged error: 0b

Counts

196 → 9

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-l_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `-commutative_binary64`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

simplify47.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4957	322
1	4957	322

prune14.0ms

Filtered

26 candidates to 35 candidates (-34.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	35	9	44

Merged error: 0b

Counts

44 → 9

regimes146.0ms

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	10	9
1	10	9

end0.0ms

sample2.4s

Algorithm

intervals

Results

581.0ms	1519×	body	1280	valid
497.0ms	1565×	body	1280	invalid
281.0ms	1275×	body	640	valid
264.0ms	1229×	body	640	invalid
241.0ms	4285×	body	80	valid
96.0ms	617×	body	320	invalid
94.0ms	618×	body	320	valid
35.0ms	303×	body	160	valid
34.0ms	326×	body	160	invalid
29.0ms	482×	body	80	invalid

Details

analyze351.0ms

sample79.0ms

simplify85.0ms

prune5.0ms

localize6.0ms

rewrite13.0ms

series26.0ms

simplify53.0ms

prune47.0ms

localize6.0ms

rewrite12.0ms

series40.0ms

simplify50.0ms

prune30.0ms

localize7.0ms

rewrite37.0ms

series30.0ms

simplify71.0ms

prune78.0ms

localize6.0ms

rewrite9.0ms

series20.0ms

simplify47.0ms

prune14.0ms

regimes146.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.4s

Profiling