Details

analyze1.8s (10.2%)

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)

sample178.0ms (1%)

Algorithm

1×

intervals

Results

51.0ms	53×	body	1024	valid
45.0ms	48×	body	1024	invalid
19.0ms	156×	body	128	valid
17.0ms	30×	body	512	valid
12.0ms	20×	body	512	invalid
7.0ms	6×	body	2048	valid
3.0ms	11×	body	256	valid
2.0ms	20×	body	128	invalid
2.0ms	5×	body	256	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify156.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (151.0ms)

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

21.3b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize13.0ms (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)
25.0b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.1b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite183.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

20.3b

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:

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

Compiler

Compiled 2162 to 1537 computations (28.9% saved)

series127.0ms (0.7%)

Error

20.8b

Counts

4 → 14

Calls

4 calls:

31.0ms	(*.f64 (/.f64 angle 180) PI.f64)
29.0ms	(*.f64 (/.f64 angle 180) PI.f64)
29.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
19.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 902 to 754 computations (16.4% saved)

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5032	1040

prune217.0ms (1.2%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	64	28	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	28	93

Error

20.1b

Counts

93 → 28

Compiler

Compiled 3177 to 2332 computations (26.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 PI.f64)))) 2)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
25.0b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.1b	(sin.f64 (.f64 angle (.f64 1/180 PI.f64)))

rewrite125.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

20.0b

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)
5.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 PI.f64)))) 2)
3.0ms	(sin.f64 (.f64 angle (.f64 1/180 PI.f64)))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 1772 to 1287 computations (27.4% saved)

series240.0ms (1.4%)

Error

20.0b

Counts

4 → 17

Calls

4 calls:

138.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 1/180 PI.f64)))) 2)
31.0ms	(*.f64 (/.f64 angle 180) PI.f64)
28.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
17.0ms	(sin.f64 (.f64 angle (.f64 1/180 PI.f64)))

Compiler

Compiled 1144 to 961 computations (16% saved)

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5216	1061

prune167.0ms (1%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	74	7	81
Fresh	3	24	27
Picked	1	0	1
Done	0	0	0
Total	78	31	109

Error

20.0b

Counts

109 → 31

Compiler

Compiled 2949 to 2186 computations (25.9% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 1/180 (.f64 angle PI.f64)))
0.6b	(cbrt.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.6b	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 1/180 (.f64 angle PI.f64))) (cbrt.f64 (.f64 1/180 (.f64 angle PI.f64)))) (cbrt.f64 (.f64 1/180 (.f64 angle PI.f64)))))
25.1b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite92.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

20.0b

Rules

4×	`pow1_binary64_480` `add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
2×	`pow1/3_binary64_501` `cbrt-prod_binary64_450`

Counts

4 → 32

Calls

4 calls:

6.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 1/180 (.f64 angle PI.f64))) (cbrt.f64 (.f64 1/180 (.f64 angle PI.f64)))) (cbrt.f64 (.f64 1/180 (.f64 angle PI.f64)))))
4.0ms	(cbrt.f64 (.f64 1/180 (.f64 angle PI.f64)))
4.0ms	(cbrt.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 1427 to 930 computations (34.8% saved)

series334.0ms (1.9%)

Error

20.0b

Counts

4 → 14

Calls

4 calls:

114.0ms	(cbrt.f64 (.f64 1/180 (.f64 angle PI.f64)))
113.0ms	(cbrt.f64 (.f64 1/180 (.f64 angle PI.f64)))
60.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 1/180 (.f64 angle PI.f64))) (cbrt.f64 (.f64 1/180 (.f64 angle PI.f64)))) (cbrt.f64 (.f64 1/180 (.f64 angle PI.f64)))))
20.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 1490 to 1184 computations (20.5% saved)

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4855	578
1	4855	578

prune146.0ms (0.8%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	40	6	46
Fresh	1	29	30
Picked	1	0	1
Done	0	0	0
Total	42	35	77

Error

20.0b

Counts

77 → 35

Compiler

Compiled 2752 to 2002 computations (27.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (/.f64 1 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (*.f64 PI.f64 (/.f64 angle (cbrt.f64 180))))
1.0b	(*.f64 (cbrt.f64 180) (cbrt.f64 180))
25.0b	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (*.f64 PI.f64 (/.f64 angle (cbrt.f64 180)))))
25.1b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite297.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

19.9b

Rules

84×	`add-exp-log_binary64_457`
45×	`prod-exp_binary64_468`
31×	`add-cbrt-cube_binary64_455`
22×	`add-sqr-sqrt_binary64_441`
19×	`cbrt-unprod_binary64_452` `div-exp_binary64_470`
16×	`pow1_binary64_480` `cbrt-prod_binary64_450`
14×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
13×	`associate-l_binary64_360`
9×	`cbrt-undiv_binary64_453`
7×	`associate-r_binary64_359`
6×	`pow1/3_binary64_501` `swap-sqr_binary64_386` `1-exp_binary64_463` `rec-exp_binary64_469`
5×	`pow-prod-down_binary64_490`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387`
3×	`associate-*r/_binary64_361` `times-frac_binary64_425`
2×	`pow-prod-up_binary64_489` `pow-sqr_binary64_392` `*-commutative_binary64_350`
1×	`pow2_binary64_500` `pow-plus_binary64_482` `frac-times_binary64_429` `associate-*l/_binary64_362` `div-inv_binary64_416`

Counts

4 → 105

Calls

4 calls:

16.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (*.f64 PI.f64 (/.f64 angle (cbrt.f64 180))))
7.0ms	(*.f64 (cbrt.f64 180) (cbrt.f64 180))
4.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (*.f64 PI.f64 (/.f64 angle (cbrt.f64 180)))))

Compiler

Compiled 3959 to 3233 computations (18.3% saved)

series198.0ms (1.1%)

Error

20.0b

Counts

4 → 11

Calls

4 calls:

99.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (*.f64 PI.f64 (/.f64 angle (cbrt.f64 180))))
62.0ms	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (*.f64 PI.f64 (/.f64 angle (cbrt.f64 180)))))
20.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
0.0ms	(*.f64 (cbrt.f64 180) (cbrt.f64 180))

Compiler

Compiled 884 to 769 computations (13% saved)

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4954	1253
1	4954	1253

prune204.0ms (1.2%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	3	31	34
Picked	0	1	1
Done	0	0	0
Total	115	36	151

Error

19.9b

Counts

151 → 36

Compiler

Compiled 3365 to 2583 computations (23.2% saved)

regimes2.5s (14%)

Accuracy

Total 1.5b remaining (7.2%)

Threshold costs 0b (0%)

Compiler

Compiled 31737 to 27442 computations (13.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	42
1	28	42

end0.0ms (0%)

sample10.2s (58.4%)

Algorithm

1×

intervals

Results

1.4s	1592×	body	1024	valid
1.3s	1427×	body	1024	invalid
634.0ms	4993×	body	128	valid
461.0ms	810×	body	512	valid
410.0ms	700×	body	512	invalid
275.0ms	209×	body	2048	valid
124.0ms	341×	body	256	invalid
123.0ms	393×	body	256	valid
76.0ms	585×	body	128	invalid
14.0ms	3×	body	4096	valid

Compiler

Compiled 5100 to 4408 computations (13.6% saved)

Details

analyze1.8s (10.2%)

sample178.0ms (1%)

simplify156.0ms (0.9%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite183.0ms (1%)

series127.0ms (0.7%)

simplify53.0ms (0.3%)

prune217.0ms (1.2%)

localize17.0ms (0.1%)

rewrite125.0ms (0.7%)

series240.0ms (1.4%)

simplify64.0ms (0.4%)

prune167.0ms (1%)

localize21.0ms (0.1%)

rewrite92.0ms (0.5%)

series334.0ms (1.9%)

simplify102.0ms (0.6%)

prune146.0ms (0.8%)

localize20.0ms (0.1%)

rewrite297.0ms (1.7%)

series198.0ms (1.1%)

simplify83.0ms (0.5%)

prune204.0ms (1.2%)

regimes2.5s (14%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample10.2s (58.4%)

Profiling