Details

analyze1.1s (8.5%)

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
31.2%	68.6%	0.1%	8
40.6%	59.3%	0.1%	9
40.6%	59.3%	0.1%	10
46%	53.8%	0.1%	11
52.7%	47.2%	0.1%	12
52.7%	44.6%	2.8%	13
55.9%	40.6%	3.5%	14

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample123.0ms (0.9%)

Algorithm

1×

intervals

Results

23.0ms	47×	body	1024	valid
19.0ms	39×	body	1024	invalid
19.0ms	167×	body	128	valid
18.0ms	5×	body	4096	valid
8.0ms	22×	body	512	valid
7.0ms	13×	body	512	invalid
5.0ms	5×	body	2048	valid
5.0ms	41×	body	128	invalid
3.0ms	12×	body	256	invalid
3.0ms	10×	body	256	valid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify148.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4912	37
1	4912	37

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

30.9b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 (/.f64 angle 180))
9.6b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
23.1b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite31.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_100`
16×	`associate-r_binary64_18`
14×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
13×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`pow1_binary64_139`
10×	`times-frac_binary64_84`
5×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127`
4×	`associate-l_binary64_19` `add-log-exp_binary64_117` `pow-prod-down_binary64_149`
3×	`associate-*r/_binary64_20`
2×	`-commutative_binary64_9` `associate-l/_binary64_21` `unswap-sqr_binary64_46`
1×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `flip3--_binary64_82` `div-inv_binary64_75` `flip--_binary64_53`

Counts

4 → 66

Calls

4 calls:

14.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
7.0ms	(*.f64 PI.f64 (/.f64 angle 180))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series642.0ms (4.8%)

Counts

4 → 33

Calls

4 calls:

542.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
42.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
31.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
28.0ms	(*.f64 PI.f64 (/.f64 angle 180))

Compiler

Compiled 1462 to 1277 computations (12.7% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5031	2001

prune209.0ms (1.6%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	75	24	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	24	100

Error

27.7b

Counts

100 → 24

Compiler

Compiled 3566 to 2529 computations (29.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(*.f64 (cbrt.f64 180) (cbrt.f64 180))
9.6b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
22.9b	(cos.f64 (.f64 (/.f64 PI.f64 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (/.f64 angle (cbrt.f64 180))))
23.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_100`
16×	`cbrt-prod_binary64_109` `pow1_binary64_139`
13×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`add-exp-log_binary64_116`
9×	`add-cbrt-cube_binary64_114` `associate-r_binary64_18`
7×	`associate-l_binary64_19`
6×	`swap-sqr_binary64_45` `pow1/3_binary64_160`
5×	`pow-prod-down_binary64_149`
4×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `unswap-sqr_binary64_46`
2×	`-commutative_binary64_9` `pow-sqr_binary64_51` `pow-prod-up_binary64_148` `associate-l/_binary64_21` `associate-*r/_binary64_20`
1×	`pow2_binary64_159` `flip3--_binary64_82` `flip--_binary64_53` `pow-plus_binary64_141`

Counts

4 → 74

Calls

4 calls:

14.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
9.0ms	(*.f64 (cbrt.f64 180) (cbrt.f64 180))
2.0ms	(cos.f64 (.f64 (/.f64 PI.f64 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (/.f64 angle (cbrt.f64 180))))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series655.0ms (4.9%)

Counts

4 → 30

Calls

4 calls:

556.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
59.0ms	(cos.f64 (.f64 (/.f64 PI.f64 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (/.f64 angle (cbrt.f64 180))))
40.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
0.0ms	(*.f64 (cbrt.f64 180) (cbrt.f64 180))

Compiler

Compiled 1608 to 1435 computations (10.8% saved)

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4922	2126
1	4922	2126

prune253.0ms (1.9%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	4	19	23
Picked	1	0	1
Done	0	0	0
Total	101	27	128

Error

27.5b

Counts

128 → 27

Compiler

Compiled 4536 to 3509 computations (22.6% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 32400)
9.6b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
23.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.4b	(cos.f64 (*.f64 (/.f64 PI.f64 (cbrt.f64 32400)) (/.f64 angle (cbrt.f64 180))))

rewrite26.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
6×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-log-exp_binary64_117`
3×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `associate-r_binary64_18` `pow-prod-down_binary64_149` `cbrt-prod_binary64_109`
2×	`associate-l/_binary64_21` `associate-r/_binary64_20`
1×	`-commutative_binary64_9` `associate-l*_binary64_19` `flip3--_binary64_82` `pow1/3_binary64_160` `flip--_binary64_53`

Counts

4 → 45

Calls

4 calls:

17.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
2.0ms	(cos.f64 (*.f64 (/.f64 PI.f64 (cbrt.f64 32400)) (/.f64 angle (cbrt.f64 180))))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(cbrt.f64 32400)

series643.0ms (4.8%)

Counts

4 → 30

Calls

4 calls:

533.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
69.0ms	(cos.f64 (*.f64 (/.f64 PI.f64 (cbrt.f64 32400)) (/.f64 angle (cbrt.f64 180))))
40.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
0.0ms	(cbrt.f64 32400)

Compiler

Compiled 1540 to 1367 computations (11.2% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4928	1886
1	4928	1886

prune187.0ms (1.4%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	68	7	75
Fresh	1	25	26
Picked	1	0	1
Done	0	0	0
Total	70	32	102

Error

27.5b

Counts

102 → 32

Compiler

Compiled 3579 to 2690 computations (24.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 32400)
9.6b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
23.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.4b	(cos.f64 (*.f64 (/.f64 PI.f64 (cbrt.f64 32400)) (/.f64 angle (cbrt.f64 180))))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
6×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-log-exp_binary64_117`
3×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `associate-r_binary64_18` `pow-prod-down_binary64_149` `cbrt-prod_binary64_109`
2×	`associate-l/_binary64_21` `associate-r/_binary64_20`
1×	`-commutative_binary64_9` `associate-l*_binary64_19` `flip3--_binary64_82` `pow1/3_binary64_160` `flip--_binary64_53`

Counts

4 → 45

Calls

4 calls:

14.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
2.0ms	(cos.f64 (*.f64 (/.f64 PI.f64 (cbrt.f64 32400)) (/.f64 angle (cbrt.f64 180))))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(cbrt.f64 32400)

series634.0ms (4.8%)

Counts

4 → 30

Calls

4 calls:

522.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
70.0ms	(cos.f64 (*.f64 (/.f64 PI.f64 (cbrt.f64 32400)) (/.f64 angle (cbrt.f64 180))))
41.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
0.0ms	(cbrt.f64 32400)

Compiler

Compiled 1666 to 1493 computations (10.4% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4928	1886
1	4928	1886

prune146.0ms (1.1%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	2	29	31
Picked	1	0	1
Done	0	0	0
Total	74	33	107

Error

27.5b

Counts

107 → 33

Compiler

Compiled 2783 to 2042 computations (26.6% saved)

regimes1.9s (14.6%)

Accuracy

Total 3.3b remaining (10.5%)

Threshold costs 0b (0%)

Compiler

Compiled 27297 to 24035 computations (12% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	49
1	41	49

end0.0ms (0%)

sample6.1s (45.6%)

Algorithm

1×

intervals

Results

751.0ms	1477×	body	1024	valid
652.0ms	1280×	body	1024	invalid
621.0ms	5202×	body	128	valid
276.0ms	75×	body	4096	valid
267.0ms	733×	body	512	valid
227.0ms	632×	body	512	invalid
168.0ms	185×	body	2048	valid
159.0ms	1251×	body	128	invalid
81.0ms	331×	body	256	invalid
81.0ms	328×	body	256	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 2620 to 2311 computations (11.8% saved)

Details

analyze1.1s (8.5%)

sample123.0ms (0.9%)

simplify148.0ms (1.1%)

prune3.0ms (0%)

localize14.0ms (0.1%)

rewrite31.0ms (0.2%)

series642.0ms (4.8%)

simplify65.0ms (0.5%)

prune209.0ms (1.6%)

localize19.0ms (0.1%)

rewrite35.0ms (0.3%)

series655.0ms (4.9%)

simplify86.0ms (0.7%)

prune253.0ms (1.9%)

localize20.0ms (0.1%)

rewrite26.0ms (0.2%)

series643.0ms (4.8%)

simplify78.0ms (0.6%)

prune187.0ms (1.4%)

localize22.0ms (0.2%)

rewrite24.0ms (0.2%)

series634.0ms (4.8%)

simplify78.0ms (0.6%)

prune146.0ms (1.1%)

regimes1.9s (14.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.1s (45.6%)

Profiling