Details

analyze1.7s (14.4%)

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)

sample180.0ms (1.5%)

Algorithm

1×

intervals

Results

49.0ms	56×	body	1024	valid
43.0ms	49×	body	1024	invalid
19.0ms	153×	body	128	valid
17.0ms	24×	body	512	valid
10.0ms	7×	body	2048	valid
10.0ms	17×	body	512	invalid
5.0ms	1×	body	4096	valid
5.0ms	15×	body	256	valid
4.0ms	11×	body	256	invalid
4.0ms	28×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify230.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (141.0ms)

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

Merged error: 21.3b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize14.0ms (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))
26.2b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.4b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite29.0ms (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:

8.0ms	(*.f64 PI.f64 (/.f64 angle 180))
7.0ms	(*.f64 PI.f64 (/.f64 angle 180))
5.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series63.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 PI.f64 (/.f64 angle 180))
19.0ms	(*.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)))

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4939	1075
1	4939	1075

prune190.0ms (1.6%)

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

Merged error: 20.3b

Counts

91 → 24

Compiler

Compiled 3020 to 2237 computations (25.9% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 angle)
0.6b	(cbrt.f64 angle)
26.2b	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
26.4b	(sin.f64 (*.f64 PI.f64 (/.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 (*.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)

series208.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt.f64 angle)
79.0ms	(cbrt.f64 angle)
32.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4882	481
1	4882	481

prune124.0ms (1.1%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	42	6	48
Fresh	3	20	23
Picked	1	0	1
Done	0	0	0
Total	46	26	72

Merged error: 20.3b

Counts

72 → 26

Compiler

Compiled 2456 to 1755 computations (28.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 angle)
0.6b	(cbrt.f64 angle)
26.2b	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
26.7b	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))

rewrite12.0ms (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 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
2.0ms	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
2.0ms	(cbrt.f64 angle)
1.0ms	(cbrt.f64 angle)

series214.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt.f64 angle)
86.0ms	(cbrt.f64 angle)
29.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
13.0ms	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4880	481
1	4880	481

prune123.0ms (1.1%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	3	22	25
Picked	1	0	1
Done	0	0	0
Total	48	26	74

Merged error: 20.3b

Counts

74 → 26

Compiler

Compiled 2495 to 1722 computations (31% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 PI.f64 (/.f64 angle 180)))
0.6b	(cbrt.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.0b	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180))) (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (*.f64 PI.f64 (/.f64 angle 180)))))
26.4b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_114` `add-sqr-sqrt_binary64_100` `add-log-exp_binary64_117` `add-cube-cbrt_binary64_113` `add-exp-log_binary64_116` `*-un-lft-identity_binary64_78` `pow1_binary64_139`
2×	`cbrt-div_binary64_110` `pow1/3_binary64_160` `cbrt-prod_binary64_109` `associate-*r/_binary64_20`

Counts

4 → 34

Calls

4 calls:

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

series277.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt.f64 (*.f64 PI.f64 (/.f64 angle 180)))
115.0ms	(cbrt.f64 (*.f64 PI.f64 (/.f64 angle 180)))
30.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180))) (cbrt.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (*.f64 PI.f64 (/.f64 angle 180)))))
12.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4907	612
1	4907	612

prune83.0ms (0.7%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	1	24	25
Picked	0	1	1
Done	0	0	0
Total	43	29	72

Merged error: 20.2b

Counts

72 → 29

Compiler

Compiled 1724 to 1249 computations (27.6% saved)

regimes958.0ms (8.2%)

Compiler: Compiled 12948 to 10964 computations (15.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	53
1	29	53

end0.0ms (0%)

sample6.9s (59%)

Algorithm

1×

intervals

Results

1.4s	1593×	body	1024	valid
1.2s	1348×	body	1024	invalid
640.0ms	4948×	body	128	valid
480.0ms	825×	body	512	valid
410.0ms	686×	body	512	invalid
269.0ms	198×	body	2048	valid
145.0ms	433×	body	256	valid
126.0ms	350×	body	256	invalid
88.0ms	668×	body	128	invalid
13.0ms	3×	body	4096	valid

Compiler

Compiled 1948 to 1643 computations (15.7% saved)

Details

analyze1.7s (14.4%)

sample180.0ms (1.5%)

simplify230.0ms (2%)

prune3.0ms (0%)

localize14.0ms (0.1%)

rewrite29.0ms (0.2%)

series63.0ms (0.5%)

simplify76.0ms (0.7%)

prune190.0ms (1.6%)

localize25.0ms (0.2%)

rewrite10.0ms (0.1%)

series208.0ms (1.8%)

simplify59.0ms (0.5%)

prune124.0ms (1.1%)

localize25.0ms (0.2%)

rewrite12.0ms (0.1%)

series214.0ms (1.8%)

simplify75.0ms (0.6%)

prune123.0ms (1.1%)

localize20.0ms (0.2%)

rewrite18.0ms (0.2%)

series277.0ms (2.4%)

simplify89.0ms (0.8%)

prune83.0ms (0.7%)

regimes958.0ms (8.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample6.9s (59%)

Profiling