Details

analyze1.6s (12.8%)

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)

sample170.0ms (1.4%)

Algorithm

1×

intervals

Results

49.0ms	54×	body	1024	valid
38.0ms	45×	body	1024	invalid
20.0ms	35×	body	512	invalid
19.0ms	163×	body	128	valid
10.0ms	18×	body	512	valid
8.0ms	7×	body	2048	valid
6.0ms	17×	body	256	invalid
4.0ms	14×	body	256	valid
2.0ms	19×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify240.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

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

19.5b

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 PI.f64 (/.f64 angle 180))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
22.8b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.1b	(cos.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)))

series61.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 PI.f64 (/.f64 angle 180))
18.0ms	(*.f64 PI.f64 (/.f64 angle 180))
13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
11.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4939	1075
1	4939	1075

prune194.0ms (1.5%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	66	24	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	24	91

Error

18.4b

Counts

91 → 24

Compiler

Compiled 3003 to 2223 computations (26% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 angle)
0.6b	(cbrt.f64 angle)
22.8b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.3b	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle))) (/.f64 (cbrt.f64 angle) 180)))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `cbrt-prod_binary64_109` `*-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 → 36

Calls

4 calls:

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

series201.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt.f64 angle)
81.0ms	(cbrt.f64 angle)
18.0ms	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle))) (/.f64 (cbrt.f64 angle) 180)))
12.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4977	478
1	4977	478

prune112.0ms (0.9%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	23	23
Picked	0	1	1
Done	0	0	0
Total	43	29	72

Error

18.4b

Counts

72 → 29

Compiler

Compiled 2294 to 1570 computations (31.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (/.f64 angle 180))
0.5b	(*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))
22.8b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.2b	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))

rewrite39.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`cbrt-prod_binary64_109`
67×	`add-sqr-sqrt_binary64_100`
51×	`times-frac_binary64_84`
43×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
16×	`associate-l_binary64_19` `swap-sqr_binary64_45` `associate-r_binary64_18`
11×	`pow1_binary64_139`
9×	`unswap-sqr_binary64_46`
7×	`pow1/3_binary64_160`
6×	`add-exp-log_binary64_116`
5×	`cbrt-div_binary64_110` `div-inv_binary64_75`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117`
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` `frac-times_binary64_88` `associate-l/_binary64_21` `associate-*r/_binary64_20` `pow-plus_binary64_141`

Counts

4 → 114

Calls

4 calls:

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

series269.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

130.0ms	(*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))
95.0ms	(cbrt.f64 (/.f64 angle 180))
31.0ms	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))
13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4928	2068
1	4928	2068

prune341.0ms (2.7%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	114	12	126
Fresh	6	21	27
Picked	1	0	1
Done	0	1	1
Total	121	34	155

Error

18.3b

Counts

155 → 34

Compiler

Compiled 5753 to 4472 computations (22.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (/.f64 angle 180))
0.5b	(*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))
22.7b	(sin.f64 (.f64 angle (.f64 PI.f64 1/180)))
23.2b	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))

rewrite40.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`cbrt-prod_binary64_109`
67×	`add-sqr-sqrt_binary64_100`
51×	`times-frac_binary64_84`
43×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
16×	`associate-l_binary64_19` `swap-sqr_binary64_45` `associate-r_binary64_18`
11×	`pow1_binary64_139`
9×	`unswap-sqr_binary64_46`
7×	`pow1/3_binary64_160`
6×	`add-exp-log_binary64_116`
5×	`cbrt-div_binary64_110` `div-inv_binary64_75`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117`
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` `frac-times_binary64_88` `associate-l/_binary64_21` `associate-*r/_binary64_20` `pow-plus_binary64_141`

Counts

4 → 114

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))
4.0ms	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))
2.0ms	(cbrt.f64 (/.f64 angle 180))
2.0ms	(sin.f64 (.f64 angle (.f64 PI.f64 1/180)))

series270.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))
96.0ms	(cbrt.f64 (/.f64 angle 180))
31.0ms	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 (/.f64 angle 180)) (cbrt.f64 (/.f64 angle 180)))) (cbrt.f64 (/.f64 angle 180))))
16.0ms	(sin.f64 (.f64 angle (.f64 PI.f64 1/180)))

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4912	2068
1	4912	2068

prune263.0ms (2.1%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	2	30	32
Picked	1	0	1
Done	0	1	1
Total	127	33	160

Error

18.3b

Counts

160 → 33

Compiler

Compiled 4671 to 3544 computations (24.1% saved)

regimes1.1s (9.1%)

Accuracy

Total 1.1b remaining (5.5%)

Threshold costs 0b (0%)

Compiler

Compiled 15475 to 13416 computations (13.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	52
1	29	52

end0.0ms (0%)

sample7.2s (57.2%)

Algorithm

1×

intervals

Results

1.4s	1607×	body	1024	valid
1.1s	1309×	body	1024	invalid
620.0ms	4993×	body	128	valid
447.0ms	810×	body	512	valid
410.0ms	693×	body	512	invalid
259.0ms	195×	body	2048	valid
124.0ms	358×	body	256	invalid
118.0ms	389×	body	256	valid
73.0ms	592×	body	128	invalid
27.0ms	6×	body	4096	valid

Compiler

Compiled 2391 to 2070 computations (13.4% saved)

Details

analyze1.6s (12.8%)

sample170.0ms (1.4%)

simplify240.0ms (1.9%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite25.0ms (0.2%)

series61.0ms (0.5%)

simplify82.0ms (0.7%)

prune194.0ms (1.5%)

localize20.0ms (0.2%)

rewrite10.0ms (0.1%)

series201.0ms (1.6%)

simplify58.0ms (0.5%)

prune112.0ms (0.9%)

localize19.0ms (0.2%)

rewrite39.0ms (0.3%)

series269.0ms (2.1%)

simplify83.0ms (0.7%)

prune341.0ms (2.7%)

localize20.0ms (0.2%)

rewrite40.0ms (0.3%)

series270.0ms (2.2%)

simplify81.0ms (0.6%)

prune263.0ms (2.1%)

regimes1.1s (9.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.2s (57.2%)

Profiling