Details

analyze1.6s (12.7%)

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)

sample193.0ms (1.5%)

Algorithm

1×

intervals

Results

52.0ms	57×	body	1024	valid
49.0ms	50×	body	1024	invalid
20.0ms	155×	body	128	valid
14.0ms	24×	body	512	valid
14.0ms	23×	body	512	invalid
12.0ms	9×	body	2048	valid
4.0ms	12×	body	256	invalid
4.0ms	11×	body	256	valid
3.0ms	25×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify241.0ms (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

21.4b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize18.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.2b	(pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)
0.2b	(.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))
0.1b	(pow.f64 (.f64 a (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)
0.1b	(.f64 a (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
25.5b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite26.0ms (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

8 calls:

7.0ms	(*.f64 PI.f64 (/.f64 angle 180))
7.0ms	(*.f64 PI.f64 (/.f64 angle 180))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
0.0ms	(.f64 a (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))

series95.0ms (0.8%)

Counts

4 → 13

Calls

4 calls:

31.0ms	(*.f64 PI.f64 (/.f64 angle 180))
27.0ms	(*.f64 PI.f64 (/.f64 angle 180))
20.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
17.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 548 to 496 computations (9.5% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4963	1034
1	4963	1034

prune293.0ms (2.4%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	63	28	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	28	92

Error

20.2b

Counts

92 → 28

Compiler

Compiled 3111 to 2331 computations (25.1% saved)

localize25.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)
0.2b	(.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))
0.2b	(pow.f64 (.f64 a (cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))) 2)
0.1b	(.f64 a (cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180)))))
0.6b	(cbrt.f64 angle)
0.6b	(cbrt.f64 angle)
25.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.8b	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))

rewrite11.0ms (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

8 calls:

3.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(cbrt.f64 angle)
1.0ms	(cbrt.f64 angle)
0.0ms	(.f64 a (cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180)))))

series215.0ms (1.7%)

Counts

4 → 13

Calls

4 calls:

77.0ms	(cbrt.f64 angle)
72.0ms	(cbrt.f64 angle)
47.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
19.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 819 to 707 computations (13.7% saved)

simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5022	426

prune152.0ms (1.2%)

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	1	26	27
Picked	0	1	1
Done	0	0	0
Total	45	32	77

Error

20.1b

Counts

77 → 32

Compiler

Compiled 2549 to 1835 computations (28% saved)

localize18.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 PI.f64 angle)
0.2b	(.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))
0.1b	(pow.f64 (.f64 a (cos.f64 (.f64 (*.f64 PI.f64 angle) (/.f64 1 180)))) 2)
0.1b	(.f64 a (cos.f64 (.f64 (*.f64 PI.f64 angle) (/.f64 1 180))))
0.3b	(.f64 (.f64 PI.f64 angle) (/.f64 1 180))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
25.4b	(cos.f64 (.f64 (.f64 PI.f64 angle) (/.f64 1 180)))
25.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64_116`
26×	`associate-r_binary64_18`
24×	`add-sqr-sqrt_binary64_100`
21×	`add-cbrt-cube_binary64_114`
19×	`add-cube-cbrt_binary64_113` `times-frac_binary64_84` `*-un-lft-identity_binary64_78`
14×	`prod-exp_binary64_127`
11×	`pow1_binary64_139`
8×	`cbrt-unprod_binary64_111`
5×	`div-exp_binary64_129`
4×	`associate-l_binary64_19` `add-log-exp_binary64_117` `pow-prod-down_binary64_149`
3×	`cbrt-undiv_binary64_112`
2×	`-commutative_binary64_9` `1-exp_binary64_122` `div-inv_binary64_75` `rec-exp_binary64_128` `unswap-sqr_binary64_46` `associate-r/_binary64_20`
1×	`un-div-inv_binary64_76`

Counts

4 → 84

Calls

8 calls:

8.0ms	(.f64 (.f64 PI.f64 angle) (/.f64 1 180))
8.0ms	(*.f64 PI.f64 (/.f64 angle 180))
2.0ms	(cos.f64 (.f64 (.f64 PI.f64 angle) (/.f64 1 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
0.0ms	(.f64 a (cos.f64 (.f64 (*.f64 PI.f64 angle) (/.f64 1 180))))

series90.0ms (0.7%)

Counts

4 → 13

Calls

4 calls:

28.0ms	(*.f64 PI.f64 (/.f64 angle 180))
26.0ms	(.f64 (.f64 PI.f64 angle) (/.f64 1 180))
19.0ms	(cos.f64 (.f64 (.f64 PI.f64 angle) (/.f64 1 180)))
16.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 572 to 520 computations (9.1% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4935	1060
1	4935	1060

prune193.0ms (1.5%)

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	29	30
Picked	0	1	1
Done	0	1	1
Total	97	32	129

Error

20.1b

Counts

129 → 32

Compiler

Compiled 3440 to 2590 computations (24.7% saved)

localize34.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b	(pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)
0.2b	(pow.f64 (.f64 a (cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 angle)) (cbrt.f64 (cbrt.f64 angle))) (cbrt.f64 (cbrt.f64 angle))) (sqrt.f64 180))))) 2)
0.2b	(.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))
0.1b	(.f64 a (cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 angle)) (cbrt.f64 (cbrt.f64 angle))) (cbrt.f64 (cbrt.f64 angle))) (sqrt.f64 180)))))
0.6b	(cbrt.f64 (cbrt.f64 angle))
0.6b	(cbrt.f64 (cbrt.f64 angle))
25.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.8b	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 angle)) (cbrt.f64 (cbrt.f64 angle))) (cbrt.f64 (cbrt.f64 angle))) (sqrt.f64 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

8 calls:

3.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 angle)) (cbrt.f64 (cbrt.f64 angle))) (cbrt.f64 (cbrt.f64 angle))) (sqrt.f64 180))))
2.0ms	(cbrt.f64 (cbrt.f64 angle))
2.0ms	(cbrt.f64 (cbrt.f64 angle))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
0.0ms	(.f64 a (cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 angle)) (cbrt.f64 (cbrt.f64 angle))) (cbrt.f64 (cbrt.f64 angle))) (sqrt.f64 180)))))

series281.0ms (2.3%)

Counts

4 → 13

Calls

4 calls:

107.0ms	(cbrt.f64 (cbrt.f64 angle))
106.0ms	(cbrt.f64 (cbrt.f64 angle))
49.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 angle)) (cbrt.f64 (cbrt.f64 angle))) (cbrt.f64 (cbrt.f64 angle))) (sqrt.f64 180))))
19.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 977 to 769 computations (21.3% saved)

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4950	574
1	4950	574

prune125.0ms (1%)

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	2	27	29
Picked	1	0	1
Done	0	2	2
Total	53	34	87

Error

20.1b

Counts

87 → 34

Compiler

Compiled 2280 to 1253 computations (45% saved)

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	615	3233
1	615	3233

regimes856.0ms (6.9%)

Compiler: Compiled 11043 to 9308 computations (15.7% saved)

bsearch0.0ms (0%)

regimes558.0ms (4.5%)

Compiler: Compiled 6441 to 5720 computations (11.2% saved)

bsearch0.0ms (0%)

regimes67.0ms (0.5%)

Compiler: Compiled 307 to 352 computations (-14.7% saved)

bsearch0.0ms (0%)

regimes25.0ms (0.2%)

Accuracy

Total 1.5b remaining (7.2%)

Threshold costs 0b (0%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch5.0ms (0%)

Compiler: Compiled 69 to 67 computations (2.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	111
1	45	111

end0.0ms (0%)

sample7.0s (56.1%)

Algorithm

1×

intervals

Results

1.4s	1576×	body	1024	valid
1.2s	1346×	body	1024	invalid
639.0ms	5044×	body	128	valid
494.0ms	847×	body	512	valid
436.0ms	697×	body	512	invalid
232.0ms	169×	body	2048	valid
123.0ms	364×	body	256	valid
122.0ms	347×	body	256	invalid
78.0ms	616×	body	128	invalid

Compiler

Compiled 2042 to 1716 computations (16% saved)

Pareto

0.663266495927317

Details

analyze1.6s (12.7%)

sample193.0ms (1.5%)

simplify241.0ms (1.9%)

prune3.0ms (0%)

localize18.0ms (0.1%)

rewrite26.0ms (0.2%)

series95.0ms (0.8%)

simplify85.0ms (0.7%)

prune293.0ms (2.4%)

localize25.0ms (0.2%)

rewrite11.0ms (0.1%)

series215.0ms (1.7%)

simplify35.0ms (0.3%)

prune152.0ms (1.2%)

localize18.0ms (0.1%)

rewrite32.0ms (0.3%)

series90.0ms (0.7%)

simplify90.0ms (0.7%)

prune193.0ms (1.5%)

localize34.0ms (0.3%)

rewrite14.0ms (0.1%)

series281.0ms (2.3%)

simplify54.0ms (0.4%)

prune125.0ms (1%)

simplify48.0ms (0.4%)

regimes856.0ms (6.9%)

bsearch0.0ms (0%)

regimes558.0ms (4.5%)

bsearch0.0ms (0%)

regimes67.0ms (0.5%)

bsearch0.0ms (0%)

regimes25.0ms (0.2%)

bsearch5.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.0s (56.1%)

Profiling