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

sample68.0ms

Algorithm

intervals

Results

27.0ms	56×	body	1280	valid
12.0ms	43×	body	640	valid
9.0ms	133×	body	80	valid
5.0ms	256×	pre	80	true
3.0ms	16×	body	320	valid
1.0ms	8×	body	160	valid

simplify534.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	25	17
1	25	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: 0.2b

Counts

2 → 1

localize12.0ms

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 (cos.f64 v))
0.2b	(*.f64 e (sin.f64 v))

rewrite29.0ms

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 (cos.f64 v))
16.0ms	(*.f64 e (sin.f64 v))

series161.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
30.0ms	(*.f64 e (cos.f64 v))
45.0ms	(*.f64 e (sin.f64 v))

simplify115.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4944	924
1	4944	924

prune55.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	7	69

Merged error: 0.0b

Counts

69 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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

series192.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
33.0ms	(*.f64 e (cos.f64 v))
93.0ms	(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))

simplify123.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4953	3222
1	4953	3222

prune112.0ms

Filtered

101 candidates to 126 candidates (-24.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	125	8	133

Merged error: 0.0b

Counts

133 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

528×	`times-frac_binary64`
259×	`add-sqr-sqrt_binary64`
257×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
68×	`associate-/r*_binary64`
40×	`associate-/r/_binary64`
38×	`add-exp-log_binary64`
23×	`div-inv_binary64`
22×	`add-cbrt-cube_binary64` `div-exp_binary64`
17×	`flip3-+_binary64` `flip-+_binary64`
10×	`cbrt-undiv_binary64`
9×	`associate-/l*_binary64`
7×	`pow1_binary64`
4×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`associate-r_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `prod-exp_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 355

Calls

4 calls:

5.0ms	(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
8.0ms	(/.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
5.0ms	(*.f64 e (cos.f64 v))
18.0ms	(/.f64 e (/.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))

series271.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
80.0ms	(/.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
28.0ms	(*.f64 e (cos.f64 v))
91.0ms	(/.f64 e (/.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))))

simplify168.0ms

Algorithm

egg-herbie

Counts

367 → 367

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4983	11827
1	4983	11827

prune311.0ms

Filtered

239 candidates to 367 candidates (-53.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	365	2	367
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	367	8	375

Merged error: 0.0b

Counts

375 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
12×	`associate-l_binary64`
10×	`associate-r_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`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 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
4.0ms	(*.f64 e (cos.f64 v))
7.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
8.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))

series251.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
28.0ms	(*.f64 e (cos.f64 v))
41.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
54.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))

simplify96.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4963	1489
1	4963	1489

prune61.0ms

Filtered

69 candidates to 98 candidates (-42.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	97	9	106

Merged error: 0.0b

Counts

106 → 9

regimes64.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	15	17

end0.0ms

sample1.9s

Algorithm

intervals

Results

714.0ms	1518×	body	1280	valid
373.0ms	1253×	body	640	valid
288.0ms	4335×	body	80	valid
148.0ms	8000×	pre	80	true
121.0ms	606×	body	320	valid
40.0ms	288×	body	160	valid

Details

analyze25.0ms

sample68.0ms

simplify534.0ms

prune3.0ms

localize12.0ms

rewrite29.0ms

series161.0ms

simplify115.0ms

prune55.0ms

localize10.0ms

rewrite23.0ms

series192.0ms

simplify123.0ms

prune112.0ms

localize11.0ms

rewrite57.0ms

series271.0ms

simplify168.0ms

prune311.0ms

localize12.0ms

rewrite33.0ms

series251.0ms

simplify96.0ms

prune61.0ms

regimes64.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.9s

Profiling