Details

analyze25.0ms (0.7%)

Algorithm

1×

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

sample64.0ms (1.8%)

Algorithm

1×

intervals

Results

21.0ms	41×	body	1280	valid
11.0ms	38×	body	640	valid
9.0ms	139×	body	80	valid
5.0ms	25×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	13×	body	160	valid

simplify460.0ms (12.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune7.0ms (0.2%)

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 (0.4%)

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 (0.6%)

Algorithm

1×	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))))
7.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (sin.f64 v))

series68.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

41.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1.0 (.f64 e (cos.f64 v))))
17.0ms	(*.f64 e (cos.f64 v))
9.0ms	(*.f64 e (sin.f64 v))

simplify68.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4957	599
1	4957	599

prune95.0ms (2.7%)

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 (0.3%)

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))

rewrite25.0ms (0.7%)

Algorithm

1×	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:

11.0ms	(.f64 e (/.f64 (sin.f64 v) (+.f64 (.f64 e (cos.f64 v)) 1.0)))
7.0ms	(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1.0))
5.0ms	(*.f64 e (cos.f64 v))

series50.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(.f64 e (/.f64 (sin.f64 v) (+.f64 (.f64 e (cos.f64 v)) 1.0)))
18.0ms	(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1.0))
8.0ms	(*.f64 e (cos.f64 v))

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5047	1103

prune106.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	90	6	96

Merged error: 0.0b

Counts

96 → 6

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite25.0ms (0.7%)

Algorithm

1×	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:

8.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v)))
7.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v))
5.0ms	(*.f64 e (cos.f64 v))

series53.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(/.f64 e (/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v)))
18.0ms	(/.f64 (+.f64 (*.f64 e (cos.f64 v)) 1.0) (sin.f64 v))
10.0ms	(*.f64 e (cos.f64 v))

simplify78.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4956	2019
1	4956	2019

prune146.0ms (4.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	125	7	132

Merged error: 0b

Counts

132 → 7

localize12.0ms (0.3%)

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))
0.3b	(*.f64 (sqrt.f64 e) (sin.f64 v))
0.3b	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))

rewrite30.0ms (0.8%)

Algorithm

1×	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))))
8.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))
5.0ms	(*.f64 (sqrt.f64 e) (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))

series75.0ms (2.1%)

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))))
16.0ms	(*.f64 (sqrt.f64 e) (sin.f64 v))
12.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))
8.0ms	(*.f64 e (cos.f64 v))

simplify32.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4983	945
1	4983	945

prune95.0ms (2.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	98	7	105

Merged error: 0b

Counts

105 → 7

regimes98.0ms (2.7%)

Accuracy

Total 0.1b remaining (79.8%)

Threshold costs 0.1b (79.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms (0%)

sample1.9s (52%)

Algorithm

1×

intervals

Results

727.0ms	1545×	body	1280	valid
364.0ms	1261×	body	640	valid
277.0ms	4256×	body	80	valid
142.0ms	8000×	pre	80	true
125.0ms	631×	body	320	valid
45.0ms	307×	body	160	valid

Details

analyze25.0ms (0.7%)

sample64.0ms (1.8%)

simplify460.0ms (12.8%)

prune7.0ms (0.2%)

localize13.0ms (0.4%)

rewrite20.0ms (0.6%)

series68.0ms (1.9%)

simplify68.0ms (1.9%)

prune95.0ms (2.7%)

localize10.0ms (0.3%)

rewrite25.0ms (0.7%)

series50.0ms (1.4%)

simplify58.0ms (1.6%)

prune106.0ms (3%)

localize10.0ms (0.3%)

rewrite25.0ms (0.7%)

series53.0ms (1.5%)

simplify78.0ms (2.2%)

prune146.0ms (4.1%)

localize12.0ms (0.3%)

rewrite30.0ms (0.8%)

series75.0ms (2.1%)

simplify32.0ms (0.9%)

prune95.0ms (2.6%)

regimes98.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (52%)

Profiling