Details

analyze1.5s (12%)

Algorithm

1×

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
25%	62.4%	12.6%	8
31.2%	56.2%	12.6%	9
34.3%	53%	12.6%	10
42.9%	44.5%	12.6%	11
46.8%	40.6%	12.6%	12
47.8%	39.6%	12.6%	13
52.6%	34.8%	12.6%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample156.0ms (1.2%)

Algorithm

1×

intervals

Results

46.0ms	47×	body	1024	valid
27.0ms	31×	body	1024	invalid
21.0ms	165×	body	128	valid
15.0ms	27×	body	512	valid
13.0ms	22×	body	512	invalid
11.0ms	6×	body	2048	valid
5.0ms	14×	body	256	invalid
3.0ms	11×	body	256	valid
2.0ms	15×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify236.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	5252	34

prune3.0ms (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

20.1b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 (/.f64 angle 180))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
24.1b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_100`
26×	`associate-r_binary64_18`
20×	`add-cube-cbrt_binary64_113` `times-frac_binary64_84` `*-un-lft-identity_binary64_78`
14×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
8×	`pow1_binary64_139`
6×	`associate-l_binary64_19`
4×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `unswap-sqr_binary64_46`
2×	`-commutative_binary64_9` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `div-inv_binary64_75` `pow-prod-down_binary64_149` `associate-r/_binary64_20`

Counts

4 → 78

Calls

4 calls:

7.0ms	(*.f64 PI.f64 (/.f64 angle 180))
7.0ms	(*.f64 PI.f64 (/.f64 angle 180))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series62.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 PI.f64 (/.f64 angle 180))
18.0ms	(*.f64 PI.f64 (/.f64 angle 180))
15.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
10.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4939	1075
1	4939	1075

prune196.0ms (1.6%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	67	23	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	23	91

Error

19.3b

Counts

91 → 23

Compiler

Compiled 2985 to 2202 computations (26.2% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 angle)
1.0b	(*.f64 (cbrt.f64 180) (cbrt.f64 180))
24.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.6b	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (.f64 (cbrt.f64 180) (cbrt.f64 180)))) (/.f64 (cbrt.f64 angle) (cbrt.f64 180))))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_100`
19×	`cbrt-prod_binary64_109`
13×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`pow1_binary64_139`
7×	`pow1/3_binary64_160`
6×	`associate-l_binary64_19` `swap-sqr_binary64_45` `associate-r_binary64_18` `add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `unswap-sqr_binary64_46`
2×	`pow-sqr_binary64_51` `pow-prod-up_binary64_148` `pow-prod-down_binary64_149`
1×	`pow2_binary64_159` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-plus_binary64_141`

Counts

4 → 65

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 180) (cbrt.f64 180))
3.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (.f64 (cbrt.f64 180) (cbrt.f64 180)))) (/.f64 (cbrt.f64 angle) (cbrt.f64 180))))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(cbrt.f64 angle)

series136.0ms (1.1%)

Counts

4 → 10

Calls

4 calls:

85.0ms	(cbrt.f64 angle)
39.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (.f64 (cbrt.f64 180) (cbrt.f64 180)))) (/.f64 (cbrt.f64 angle) (cbrt.f64 180))))
12.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
0.0ms	(*.f64 (cbrt.f64 180) (cbrt.f64 180))

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4879	787
1	4879	787

prune199.0ms (1.6%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	67	8	75
Fresh	4	18	22
Picked	0	1	1
Done	0	0	0
Total	71	27	98

Error

18.9b

Counts

98 → 27

Compiler

Compiled 3625 to 2634 computations (27.3% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.6b	(cbrt.f64 (cbrt.f64 180))
1.6b	(cbrt.f64 (cbrt.f64 180))
24.3b	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 180)) 5) (cbrt.f64 (cbrt.f64 180))))) (/.f64 (cbrt.f64 angle) (cbrt.f64 180))))
24.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_109`
8×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `pow1_binary64_139`
2×	`pow1/3_binary64_160`

Counts

4 → 42

Calls

4 calls:

3.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 180)) 5) (cbrt.f64 (cbrt.f64 180))))) (/.f64 (cbrt.f64 angle) (cbrt.f64 180))))
2.0ms	(cbrt.f64 (cbrt.f64 180))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cbrt.f64 (cbrt.f64 180))

series49.0ms (0.4%)

Counts

4 → 8

Calls

4 calls:

35.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 180)) 5) (cbrt.f64 (cbrt.f64 180))))) (/.f64 (cbrt.f64 angle) (cbrt.f64 180))))
14.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
0.0ms	(cbrt.f64 (cbrt.f64 180))
0.0ms	(cbrt.f64 (cbrt.f64 180))

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4988	644
1	4988	644

prune154.0ms (1.2%)

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	1	24	25
Picked	0	1	1
Done	0	1	1
Total	46	31	77

Error

18.8b

Counts

77 → 31

Compiler

Compiled 2992 to 2295 computations (23.3% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.6b	(cbrt.f64 (cbrt.f64 180))
1.6b	(cbrt.f64 (cbrt.f64 180))
24.3b	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 180)) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 180)))) 5) (cbrt.f64 (cbrt.f64 180))))) (/.f64 (cbrt.f64 angle) (cbrt.f64 180))))
24.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_109`
8×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `pow1_binary64_139`
2×	`pow1/3_binary64_160`

Counts

4 → 42

Calls

4 calls:

3.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 180)) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 180)))) 5) (cbrt.f64 (cbrt.f64 180))))) (/.f64 (cbrt.f64 angle) (cbrt.f64 180))))
2.0ms	(cbrt.f64 (cbrt.f64 180))
2.0ms	(cbrt.f64 (cbrt.f64 180))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series51.0ms (0.4%)

Counts

4 → 8

Calls

4 calls:

38.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 180)) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 180)))) 5) (cbrt.f64 (cbrt.f64 180))))) (/.f64 (cbrt.f64 angle) (cbrt.f64 180))))
13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
0.0ms	(cbrt.f64 (cbrt.f64 180))
0.0ms	(cbrt.f64 (cbrt.f64 180))

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5082	954

prune144.0ms (1.1%)

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	3	25	28
Picked	0	1	1
Done	0	2	2
Total	48	33	81

Error

18.7b

Counts

81 → 33

Compiler

Compiled 2498 to 1932 computations (22.7% saved)

regimes1.5s (11.6%)

Accuracy

Total 1.3b remaining (6.4%)

Threshold costs 0b (0%)

Compiler

Compiled 17442 to 15156 computations (13.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	65
1	35	65

end0.0ms (0%)

sample7.7s (61.8%)

Algorithm

1×

intervals

Results

1.4s	1562×	body	1024	valid
1.2s	1359×	body	1024	invalid
653.0ms	5023×	body	128	valid
479.0ms	833×	body	512	valid
419.0ms	711×	body	512	invalid
243.0ms	187×	body	2048	valid
128.0ms	355×	body	256	invalid
120.0ms	390×	body	256	valid
82.0ms	628×	body	128	invalid
23.0ms	5×	body	4096	valid

Compiler

Compiled 2757 to 2397 computations (13.1% saved)

Details

analyze1.5s (12%)

sample156.0ms (1.2%)

simplify236.0ms (1.9%)

prune3.0ms (0%)

localize17.0ms (0.1%)

rewrite25.0ms (0.2%)

series62.0ms (0.5%)

simplify79.0ms (0.6%)

prune196.0ms (1.6%)

localize25.0ms (0.2%)

rewrite19.0ms (0.2%)

series136.0ms (1.1%)

simplify77.0ms (0.6%)

prune199.0ms (1.6%)

localize26.0ms (0.2%)

rewrite13.0ms (0.1%)

series49.0ms (0.4%)

simplify55.0ms (0.4%)

prune154.0ms (1.2%)

localize35.0ms (0.3%)

rewrite14.0ms (0.1%)

series51.0ms (0.4%)

simplify56.0ms (0.5%)

prune144.0ms (1.1%)

regimes1.5s (11.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.7s (61.8%)

Profiling