Details

analyze25.0ms

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

sample62.0ms

Algorithm

intervals

Results

18.0ms	37×	body	1280	valid
12.0ms	41×	body	640	valid
9.0ms	142×	body	80	valid
5.0ms	23×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	13×	body	160	valid

simplify465.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune4.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1.0 (.f64 e (cos.f64 v))))
0.1b	(*.f64 e (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))

rewrite20.0ms

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:

7.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1.0 (.f64 e (cos.f64 v))))
4.0ms	(*.f64 e (sin.f64 v))
7.0ms	(*.f64 e (cos.f64 v))

series66.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1.0 (.f64 e (cos.f64 v))))
8.0ms	(*.f64 e (sin.f64 v))
17.0ms	(*.f64 e (cos.f64 v))

simplify68.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4957	599
1	4957	599

prune77.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1.0))
0.1b	(.f64 e (/.f64 (sin.f64 v) (+.f64 (.f64 e (cos.f64 v)) 1.0)))
0.1b	(*.f64 e (cos.f64 v))

rewrite28.0ms

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-r_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`associate-l_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×	`associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 81

Calls

3 calls:

9.0ms	(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1.0))
11.0ms	(.f64 e (/.f64 (sin.f64 v) (+.f64 (.f64 e (cos.f64 v)) 1.0)))
4.0ms	(*.f64 e (cos.f64 v))

series49.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1.0))
24.0ms	(.f64 e (/.f64 (sin.f64 v) (+.f64 (.f64 e (cos.f64 v)) 1.0)))
8.0ms	(*.f64 e (cos.f64 v))

simplify54.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5047	1103

prune89.0ms

Filtered

68 candidates to 90 candidates (-32.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v)))

rewrite24.0ms

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:

7.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))
8.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v))
7.0ms	(*.f64 e (cos.f64 v))
26.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v)))

simplify76.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4956	2019
1	4956	2019

prune122.0ms

Filtered

100 candidates to 126 candidates (-26.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	125	8	133

Merged error: 0b

Counts

133 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v))) (+.f64 1.0 (*.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))
0.3b	(*.f64 (sqrt.f64 e) (sin.f64 v))

rewrite31.0ms

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:

11.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v))) (+.f64 1.0 (*.f64 e (cos.f64 v))))
4.0ms	(*.f64 e (cos.f64 v))
7.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))
6.0ms	(*.f64 (sqrt.f64 e) (sin.f64 v))

series74.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v))) (+.f64 1.0 (*.f64 e (cos.f64 v))))
7.0ms	(*.f64 e (cos.f64 v))
11.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))
17.0ms	(*.f64 (sqrt.f64 e) (sin.f64 v))

simplify33.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4983	945
1	4983	945

prune72.0ms

Filtered

70 candidates to 98 candidates (-40.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	98	8	106

Merged error: 0b

Counts

106 → 8

regimes103.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

708.0ms	1534×	body	1280	valid
366.0ms	1264×	body	640	valid
285.0ms	4279×	body	80	valid
144.0ms	8000×	pre	80	true
122.0ms	606×	body	320	valid
48.0ms	317×	body	160	valid

Details

analyze25.0ms

sample62.0ms

simplify465.0ms

prune4.0ms

localize13.0ms

rewrite20.0ms

series66.0ms

simplify68.0ms

prune77.0ms

localize10.0ms

rewrite28.0ms

series49.0ms

simplify54.0ms

prune89.0ms

localize10.0ms

rewrite24.0ms

series51.0ms

simplify76.0ms

prune122.0ms

localize14.0ms

rewrite31.0ms

series74.0ms

simplify33.0ms

prune72.0ms

regimes103.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling