Details

analyze2.2s (10.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4958	136
1	4958	136
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
31.2%	56.2%	12.6%	9
34.3%	53%	12.6%	10
37.4%	49.9%	12.6%	11
46.8%	40.6%	12.6%	12
47.8%	39.6%	12.6%	13
49.7%	37.1%	13.2%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample203.0ms (0.9%)

Algorithm

1×

intervals

Results

57.0ms	51×	body	1024	valid
55.0ms	49×	body	1024	invalid
25.0ms	165×	body	128	valid
17.0ms	26×	body	512	valid
11.0ms	20×	body	512	invalid
8.0ms	6×	body	2048	valid
4.0ms	8×	body	256	invalid
3.0ms	20×	body	128	invalid
3.0ms	8×	body	256	valid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify186.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (180.0ms)

Iter	Nodes	Cost
0	5252	34

prune4.0ms (0%)

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

Error

19.8b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 angle 180) PI.f64)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
23.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.1b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite231.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

18.9b

Rules

30×	`add-sqr-sqrt_binary64_441`
26×	`associate-l_binary64_360`
20×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419` `times-frac_binary64_425`
14×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`pow1_binary64_480`
6×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387`
2×	`pow-prod-down_binary64_490` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-l/_binary64_362` `div-inv_binary64_416` `-commutative_binary64_350`

Counts

4 → 78

Calls

4 calls:

13.0ms	(*.f64 (/.f64 angle 180) PI.f64)
13.0ms	(*.f64 (/.f64 angle 180) PI.f64)
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 2162 to 1537 computations (28.9% saved)

series134.0ms (0.6%)

Error

19.0b

Counts

4 → 12

Calls

4 calls:

33.0ms	(*.f64 (/.f64 angle 180) PI.f64)
31.0ms	(*.f64 (/.f64 angle 180) PI.f64)
27.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
18.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 758 to 634 computations (16.4% saved)

simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4892	993
1	4892	993

prune246.0ms (1.1%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	63	27	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	27	91

Error

18.5b

Counts

91 → 27

Compiler

Compiled 3071 to 2252 computations (26.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64)))
0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
24.1b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite148.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

18.5b

Rules

22×	`add-sqr-sqrt_binary64_441`
16×	`associate-l_binary64_360`
15×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
14×	`add-exp-log_binary64_457`
11×	`pow1_binary64_480` `add-cbrt-cube_binary64_455`
10×	`times-frac_binary64_425`
6×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `prod-exp_binary64_468`
3×	`pow-prod-down_binary64_490` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `pow-unpow_binary64_496`
2×	`*-commutative_binary64_350` `pow-pow_binary64_491` `pow-exp_binary64_487`
1×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-*l/_binary64_362` `div-inv_binary64_416` `unpow-prod-down_binary64_498` `pow-to-exp_binary64_488` `unpow2_binary64_484` `sqr-pow_binary64_391`

Counts

4 → 75

Calls

4 calls:

10.0ms	(*.f64 (/.f64 angle 180) PI.f64)
5.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
5.0ms	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64)))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 1716 to 1286 computations (25.1% saved)

series402.0ms (1.9%)

Error

18.5b

Counts

4 → 18

Calls

4 calls:

164.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
144.0ms	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64)))
49.0ms	(*.f64 (/.f64 angle 180) PI.f64)
16.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 933 to 842 computations (9.8% saved)

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4953	1256
1	4953	1256

prune213.0ms (1%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	76	17	93
Fresh	10	16	26
Picked	1	0	1
Done	0	0	0
Total	87	33	120

Error

18.5b

Counts

120 → 33

Compiler

Compiled 2756 to 2098 computations (23.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 1/180 angle)
0.2b	(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 1/180 angle) PI.f64))) 2)
0.3b	(.f64 (.f64 1/180 angle) PI.f64)
24.1b	(sin.f64 (.f64 (.f64 1/180 angle) PI.f64))

rewrite116.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

18.3b

Rules

14×	`pow1_binary64_480` `add-exp-log_binary64_457`
11×	`add-cbrt-cube_binary64_455`
10×	`add-sqr-sqrt_binary64_441`
8×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
6×	`associate-r_binary64_359`
5×	`pow-prod-down_binary64_490` `prod-exp_binary64_468`
4×	`add-log-exp_binary64_458` `cbrt-unprod_binary64_452` `associate-l_binary64_360`
3×	`pow-unpow_binary64_496`
2×	`*-commutative_binary64_350` `pow-pow_binary64_491` `pow-exp_binary64_487`
1×	`unpow-prod-down_binary64_498` `pow-to-exp_binary64_488` `unpow2_binary64_484` `sqr-pow_binary64_391` `unswap-sqr_binary64_387`

Counts

4 → 61

Calls

4 calls:

5.0ms	(.f64 (.f64 1/180 angle) PI.f64)
5.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 1/180 angle) PI.f64))) 2)
4.0ms	(*.f64 1/180 angle)
2.0ms	(sin.f64 (.f64 (.f64 1/180 angle) PI.f64))

Compiler

Compiled 1318 to 1001 computations (24.1% saved)

series253.0ms (1.2%)

Error

18.5b

Counts

4 → 15

Calls

4 calls:

156.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (*.f64 1/180 angle) PI.f64))) 2)
35.0ms	(*.f64 1/180 angle)
30.0ms	(.f64 (.f64 1/180 angle) PI.f64)
19.0ms	(sin.f64 (.f64 (.f64 1/180 angle) PI.f64))

Compiler

Compiled 780 to 709 computations (9.1% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4925	848
1	4925	848

prune189.0ms (0.9%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	2	30	32
Picked	1	0	1
Done	0	0	0
Total	74	35	109

Error

18.4b

Counts

109 → 35

Compiler

Compiled 2385 to 1867 computations (21.7% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
23.8b	(cos.f64 (.f64 angle (.f64 1/180 PI.f64)))
24.1b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite153.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

18.4b

Rules

18×	`add-sqr-sqrt_binary64_441`
13×	`add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-l*_binary64_360`
12×	`add-exp-log_binary64_457`
10×	`times-frac_binary64_425`
9×	`pow1_binary64_480` `add-cbrt-cube_binary64_455`
4×	`add-log-exp_binary64_458`
3×	`prod-exp_binary64_468` `associate-r_binary64_359` `pow-unpow_binary64_496`
2×	`pow-prod-down_binary64_490` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `pow-pow_binary64_491` `pow-exp_binary64_487`
1×	`div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-l/_binary64_362` `div-inv_binary64_416` `-commutative_binary64_350` `unpow-prod-down_binary64_498` `pow-to-exp_binary64_488` `unpow2_binary64_484` `sqr-pow_binary64_391`

Counts

4 → 64

Calls

4 calls:

7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
4.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
4.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
3.0ms	(cos.f64 (.f64 angle (.f64 1/180 PI.f64)))

Compiler

Compiled 1772 to 1287 computations (27.4% saved)

series241.0ms (1.1%)

Error

18.4b

Counts

4 → 15

Calls

4 calls:

153.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
34.0ms	(*.f64 (/.f64 angle 180) PI.f64)
19.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
17.0ms	(cos.f64 (.f64 angle (.f64 1/180 PI.f64)))

Compiler

Compiled 1000 to 841 computations (15.9% saved)

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5006	1011

prune121.0ms (0.6%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	34	34
Picked	0	1	1
Done	0	0	0
Total	79	35	114

Error

18.4b

Counts

114 → 35

Compiler

Compiled 1982 to 1373 computations (30.7% saved)

regimes3.3s (15.3%)

Accuracy

Total 1.4b remaining (7.1%)

Threshold costs 0b (0%)

Compiler

Compiled 33417 to 29473 computations (11.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

end0.0ms (0%)

sample12.9s (59.6%)

Algorithm

1×

intervals

Results

1.7s	1584×	body	1024	valid
1.5s	1338×	body	1024	invalid
943.0ms	5056×	body	128	valid
570.0ms	825×	body	512	valid
501.0ms	711×	body	512	invalid
286.0ms	170×	body	2048	valid
147.0ms	339×	body	256	invalid
140.0ms	364×	body	256	valid
97.0ms	582×	body	128	invalid
6.0ms	1×	body	4096	valid

Compiler

Compiled 5221 to 4605 computations (11.8% saved)

Details

analyze2.2s (10.1%)

sample203.0ms (0.9%)

simplify186.0ms (0.9%)

prune4.0ms (0%)

localize18.0ms (0.1%)

rewrite231.0ms (1.1%)

series134.0ms (0.6%)

simplify125.0ms (0.6%)

prune246.0ms (1.1%)

localize12.0ms (0.1%)

rewrite148.0ms (0.7%)

series402.0ms (1.9%)

simplify65.0ms (0.3%)

prune213.0ms (1%)

localize14.0ms (0.1%)

rewrite116.0ms (0.5%)

series253.0ms (1.2%)

simplify67.0ms (0.3%)

prune189.0ms (0.9%)

localize30.0ms (0.1%)

rewrite153.0ms (0.7%)

series241.0ms (1.1%)

simplify62.0ms (0.3%)

prune121.0ms (0.6%)

regimes3.3s (15.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample12.9s (59.6%)

Profiling