Details

analyze220.0ms

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

sample54.0ms

Algorithm

intervals

Results

22.0ms	62×	body	1024	valid
10.0ms	156×	body	128	valid
5.0ms	22×	body	512	valid
5.0ms	256×	pre	128	true
2.0ms	16×	body	256	valid

simplify181.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	17
1	23	17

prune3.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.1b	(*.f64 e (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`pow1_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

3 → 59

Calls

3 calls:

6.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
4.0ms	(*.f64 e (sin.f64 v))
6.0ms	(*.f64 e (cos.f64 v))

series305.0ms

Counts

3 → 9

Calls

3 calls:

187.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
54.0ms	(*.f64 e (sin.f64 v))
64.0ms	(*.f64 e (cos.f64 v))

simplify71.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4966	924
1	4966	924

prune61.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	7	69

Merged error: 0.0b

Counts

69 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 e (cos.f64 v))
0.1b	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
0.2b	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac_binary64`
57×	`add-sqr-sqrt_binary64`
55×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`pow1_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `associate-r_binary64` `associate-l_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

3 → 117

Calls

3 calls:

4.0ms	(*.f64 e (cos.f64 v))
7.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
9.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))

series356.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(*.f64 e (cos.f64 v))
126.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v))
178.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1) (sin.f64 v)))

simplify99.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4971	3218
1	4971	3218

prune121.0ms

Filtered

101 candidates to 126 candidates (-24.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	120	6	126
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	122	11	133

Merged error: 0b

Counts

133 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 e (+.f64 (*.f64 e (cos.f64 v)) 1))
0.1b	(.f64 (/.f64 e (+.f64 (.f64 e (cos.f64 v)) 1)) (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`times-frac_binary64`
18×	`associate-l_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`associate-r_binary64`
4×	`associate-/r/_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`

Counts

3 → 81

Calls

3 calls:

6.0ms	(/.f64 e (+.f64 (*.f64 e (cos.f64 v)) 1))
11.0ms	(.f64 (/.f64 e (+.f64 (.f64 e (cos.f64 v)) 1)) (sin.f64 v))
5.0ms	(*.f64 e (cos.f64 v))

series322.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(/.f64 e (+.f64 (*.f64 e (cos.f64 v)) 1))
156.0ms	(.f64 (/.f64 e (+.f64 (.f64 e (cos.f64 v)) 1)) (sin.f64 v))
50.0ms	(*.f64 e (cos.f64 v))

simplify67.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5023	1620

prune74.0ms

Filtered

69 candidates to 90 candidates (-30.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	90	11	101

Merged error: 0b

Counts

101 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(*.f64 (sqrt.f64 e) (sin.f64 v))
0.3b	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
13×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`associate-r_binary64` `sqrt-prod_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `times-frac_binary64` `div-exp_binary64` `-commutative_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

4 → 86

Calls

4 calls:

10.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
4.0ms	(*.f64 e (cos.f64 v))
5.0ms	(*.f64 (sqrt.f64 e) (sin.f64 v))
8.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
49.0ms	(*.f64 e (cos.f64 v))
92.0ms	(*.f64 (sqrt.f64 e) (sin.f64 v))
76.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))

simplify60.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5023	1490

prune63.0ms

Filtered

70 candidates to 98 candidates (-40.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	7	8
Picked	0	1	1
Done	1	1	2
Total	99	10	109

Merged error: 0b

Counts

109 → 10

regimes49.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	13	17

end0.0ms

sample1.7s

Algorithm

intervals

Results

726.0ms	1994×	body	1024	valid
308.0ms	4481×	body	128	valid
227.0ms	1025×	body	512	valid
137.0ms	8000×	pre	128	true
71.0ms	492×	body	256	valid
7.0ms	8×	body	2048	valid

Details

analyze220.0ms

sample54.0ms

simplify181.0ms

prune3.0ms

localize11.0ms

rewrite22.0ms

series305.0ms

simplify71.0ms

prune61.0ms

localize9.0ms

rewrite32.0ms

series356.0ms

simplify99.0ms

prune121.0ms

localize9.0ms

rewrite29.0ms

series322.0ms

simplify67.0ms

prune74.0ms

localize11.0ms

rewrite35.0ms

series433.0ms

simplify60.0ms

prune63.0ms

regimes49.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling