Details

analyze359.0ms

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

sample86.0ms

Algorithm

intervals

Results

20.0ms	55×	body	1280	valid
15.0ms	50×	body	1280	invalid
9.0ms	44×	body	640	invalid
9.0ms	38×	body	640	valid
7.0ms	129×	body	80	valid
3.0ms	24×	body	320	valid
2.0ms	10×	body	320	invalid
1.0ms	16×	body	80	invalid
1.0ms	10×	body	160	valid
1.0ms	8×	body	160	invalid

simplify188.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (178.0ms)

Iter	Nodes	Cost
0	4864	11
1	4864	11

prune11.0ms

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: 0.2b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_5053`
19×	`*-un-lft-identity_binary64_5068` `times-frac_binary64_5063` `add-cube-cbrt_binary64_5039`
13×	`associate-r_binary64_5127`
10×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032`
5×	`pow1_binary64_5014`
3×	`associate-/l_binary64_5132` `associate-/r_binary64_5131` `add-log-exp_binary64_5033` `associate-l_binary64_5128` `cosh-def_binary64_4888`
2×	`cbrt-undiv_binary64_5038` `prod-exp_binary64_5019` `unswap-sqr_binary64_5096` `cbrt-unprod_binary64_5037` `div-exp_binary64_5021` `div-inv_binary64_5069`
1×	`pow-prod-down_binary64_4995` `associate-l/_binary64_5130` `frac-2neg_binary64_5061` `clear-num_binary64_5071` `frac-times_binary64_5060` `associate-r/_binary64_5129` `*-commutative_binary64_5136`

Counts

3 → 69

Calls

3 calls:

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

series138.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(cosh.f64 x)
85.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
23.0ms	(/.f64 (sin.f64 y) y)

simplify81.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5407	1015

prune339.0ms

Filtered

63 candidates to 78 candidates (-23.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	68	10	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	10	79

Merged error: 0b

Counts

79 → 10

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.1b	(/.f64 (sin.f64 y) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_5053`
23×	`*-un-lft-identity_binary64_5068`
19×	`times-frac_binary64_5063` `add-cube-cbrt_binary64_5039`
13×	`associate-l_binary64_5128`
10×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032`
5×	`add-log-exp_binary64_5033` `pow1_binary64_5014` `associate-r_binary64_5127`
3×	`associate-/l_binary64_5132` `associate-/r_binary64_5131` `flip3-+_binary64_5066` `flip-+_binary64_5093`
2×	`cosh-undef_binary64_4869` `cbrt-undiv_binary64_5038` `distribute-lft-out_binary64_5112` `prod-exp_binary64_5019` `unswap-sqr_binary64_5096` `frac-times_binary64_5060` `associate-*r/_binary64_5129` `cbrt-unprod_binary64_5037` `div-exp_binary64_5021` `div-inv_binary64_5069`
1×	`pow-prod-down_binary64_4995` `associate-l/_binary64_5130` `distribute-lft-in_binary64_5110` `frac-2neg_binary64_5061` `clear-num_binary64_5071` `distribute-rgt-in_binary64_5111` `sum-log_binary64_4983` `-commutative_binary64_5136` `+-commutative_binary64_5135`

Counts

3 → 80

Calls

3 calls:

10.0ms	(*.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(/.f64 (sin.f64 y) y)

series107.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(*.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
14.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
26.0ms	(/.f64 (sin.f64 y) y)

simplify75.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4989	1480
1	4989	1480

prune359.0ms

Filtered

69 candidates to 89 candidates (-29.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	89	10	99

Merged error: 0b

Counts

99 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac_binary64_5063`
104×	`add-sqr-sqrt_binary64_5053`
92×	`*-un-lft-identity_binary64_5068`
90×	`add-cube-cbrt_binary64_5039`
44×	`associate-r_binary64_5127`
28×	`add-exp-log_binary64_5032`
20×	`add-cbrt-cube_binary64_5040`
16×	`associate-/r*_binary64_5131`
10×	`div-inv_binary64_5069`
9×	`div-exp_binary64_5021`
7×	`cbrt-undiv_binary64_5038` `pow1_binary64_5014`
6×	`associate-/l*_binary64_5132`
5×	`prod-exp_binary64_5019` `unswap-sqr_binary64_5096`
4×	`add-log-exp_binary64_5033` `rec-exp_binary64_5020`
3×	`associate-l_binary64_5128` `cosh-def_binary64_4888` `cbrt-unprod_binary64_5037`
2×	`frac-2neg_binary64_5061` `clear-num_binary64_5071` `associate-/r/_binary64_5133`
1×	`pow-prod-down_binary64_4995` `associate-l/_binary64_5130` `un-div-inv_binary64_5070` `pow-flip_binary64_4998` `frac-times_binary64_5060` `inv-pow_binary64_4990` `associate-r/_binary64_5129` `*-commutative_binary64_5136`

Counts

4 → 182

Calls

4 calls:

1.0ms	(cosh.f64 x)
14.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
3.0ms	(/.f64 y (sin.f64 y))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cosh.f64 x)
78.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
30.0ms	(/.f64 y (sin.f64 y))
22.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5010	2909

prune595.0ms

Filtered

131 candidates to 194 candidates (-48.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	194	10	204

Merged error: 0b

Counts

204 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_5053`
24×	`*-un-lft-identity_binary64_5068` `add-cube-cbrt_binary64_5039`
20×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032` `times-frac_binary64_5063`
19×	`associate-l_binary64_5128`
12×	`pow1_binary64_5014`
11×	`sqrt-prod_binary64_5047` `cosh-def_binary64_4888` `sqrt-div_binary64_5048`
7×	`associate-r_binary64_5127` `prod-exp_binary64_5019` `cbrt-unprod_binary64_5037`
6×	`frac-times_binary64_5060` `associate-*r/_binary64_5129`
4×	`pow-prod-down_binary64_4995` `associate-*l/_binary64_5130` `add-log-exp_binary64_5033` `unswap-sqr_binary64_5096`
3×	`associate-/l_binary64_5132` `cbrt-undiv_binary64_5038` `associate-/r_binary64_5131` `div-exp_binary64_5021`
2×	`div-inv_binary64_5069` `*-commutative_binary64_5136`
1×	`frac-2neg_binary64_5061` `clear-num_binary64_5071` `pow1/2_binary64_5004` `sqrt-pow1_binary64_5049` `rem-sqrt-square_binary64_5056`

Counts

4 → 110

Calls

4 calls:

1.0ms	(sqrt.f64 (cosh.f64 x))
8.0ms	(*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x)))
9.0ms	(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))))
4.0ms	(/.f64 (sin.f64 y) y)

series255.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sqrt.f64 (cosh.f64 x))
98.0ms	(*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x)))
83.0ms	(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))))
23.0ms	(/.f64 (sin.f64 y) y)

simplify84.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5169	1825

prune385.0ms

Filtered

86 candidates to 122 candidates (-41.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	122	10	132

Merged error: 0b

Counts

132 → 10

regimes523.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	21
1	21	21

end0.0ms

sample2.4s

Algorithm

intervals

Results

555.0ms	1526×	body	1280	valid
449.0ms	1468×	body	1280	invalid
259.0ms	1248×	body	640	invalid
258.0ms	1220×	body	640	valid
224.0ms	4278×	body	80	valid
92.0ms	642×	body	320	invalid
91.0ms	630×	body	320	valid
35.0ms	346×	body	160	valid
35.0ms	327×	body	160	invalid
31.0ms	520×	body	80	invalid

Details

analyze359.0ms

sample86.0ms

simplify188.0ms

prune11.0ms

localize11.0ms

rewrite15.0ms

series138.0ms

simplify81.0ms

prune339.0ms

localize18.0ms

rewrite21.0ms

series107.0ms

simplify75.0ms

prune359.0ms

localize14.0ms

rewrite32.0ms

series158.0ms

simplify85.0ms

prune595.0ms

localize13.0ms

rewrite26.0ms

series255.0ms

simplify84.0ms

prune385.0ms

regimes523.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.4s

Profiling