Details

analyze24.0ms

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

sample66.0ms

Algorithm

intervals

Results

21.0ms	47×	body	1280	valid
13.0ms	44×	body	640	valid
11.0ms	139×	body	80	valid
5.0ms	256×	pre	80	true
3.0ms	17×	body	320	valid
1.0ms	9×	body	160	valid

simplify452.0ms

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: 0.2b

Counts

2 → 1

localize11.0ms

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 (cos.f64 v))
0.1b	(*.f64 e (sin.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 (cos.f64 v))
7.0ms	(*.f64 e (sin.f64 v))

series69.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1.0 (.f64 e (cos.f64 v))))
9.0ms	(*.f64 e (cos.f64 v))
19.0ms	(*.f64 e (sin.f64 v))

simplify40.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4968	599
1	4968	599

prune89.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	59	9	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	9	69

Merged error: 0.0b

Counts

69 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 e e) (pow.f64 (cos.f64 v) 2))
0.1b	(*.f64 e (cos.f64 v))
0.1b	(*.f64 e (sin.f64 v))
0.3b	(pow.f64 (cos.f64 v) 2)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
14×	`associate-r_binary64`
13×	`add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`prod-exp_binary64`
9×	`pow1_binary64`
7×	`associate-l_binary64` `unpow-prod-down_binary64`
6×	`unswap-sqr_binary64`
5×	`cbrt-unprod_binary64`
4×	`add-log-exp_binary64`
3×	`pow-to-exp_binary64` `pow-prod-down_binary64` `pow-unpow_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-pow_binary64` `pow2_binary64`

Counts

4 → 84

Calls

4 calls:

8.0ms	(.f64 (.f64 e e) (pow.f64 (cos.f64 v) 2))
4.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (sin.f64 v))
3.0ms	(pow.f64 (cos.f64 v) 2)

series36.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(.f64 (.f64 e e) (pow.f64 (cos.f64 v) 2))
9.0ms	(*.f64 e (cos.f64 v))
9.0ms	(*.f64 e (sin.f64 v))
4.0ms	(pow.f64 (cos.f64 v) 2)

simplify65.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5037	544

prune92.0ms

Filtered

61 candidates to 96 candidates (-57.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 0.0b

Counts

105 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

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

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

series53.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 e (cos.f64 v))
19.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v))
26.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v)))

simplify75.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4977	2019
1	4977	2019

prune131.0ms

Filtered

101 candidates to 126 candidates (-24.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	127	8	135

Merged error: 0b

Counts

135 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 274

Calls

4 calls:

5.0ms	(*.f64 e (cos.f64 v))
7.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v))
31.0ms	(.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (/.f64 (+.f64 (.f64 e (cos.f64 v)) 1.0) (sin.f64 v))))
10.0ms	(/.f64 (sqrt.f64 e) (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v)))

series108.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 e (cos.f64 v))
19.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v))
35.0ms	(.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (/.f64 (+.f64 (.f64 e (cos.f64 v)) 1.0) (sin.f64 v))))
46.0ms	(/.f64 (sqrt.f64 e) (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v)))

simplify83.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5149	5361

prune210.0ms

Filtered

187 candidates to 286 candidates (-52.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	286	0	286
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	286	8	294

Merged error: 0b

Counts

294 → 8

regimes105.0ms

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	72	24
1	72	24

end0.0ms

sample1.8s

Algorithm

intervals

Results

687.0ms	1495×	body	1280	valid
375.0ms	1287×	body	640	valid
287.0ms	4335×	body	80	valid
141.0ms	8000×	pre	80	true
114.0ms	587×	body	320	valid
41.0ms	296×	body	160	valid

Details

analyze24.0ms

sample66.0ms

simplify452.0ms

prune4.0ms

localize11.0ms

rewrite20.0ms

series69.0ms

simplify40.0ms

prune89.0ms

localize19.0ms

rewrite21.0ms

series36.0ms

simplify65.0ms

prune92.0ms

localize10.0ms

rewrite24.0ms

series53.0ms

simplify75.0ms

prune131.0ms

localize12.0ms

rewrite67.0ms

series108.0ms

simplify83.0ms

prune210.0ms

regimes105.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling