Details

analyze1.8s (15.5%)

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
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)

sample155.0ms (1.4%)

Algorithm

1×

intervals

Results

40.0ms	45×	body	1024	valid
34.0ms	38×	body	1024	invalid
21.0ms	164×	body	128	valid
17.0ms	29×	body	512	valid
9.0ms	6×	body	2048	valid
8.0ms	6×	body	512	invalid
5.0ms	15×	body	256	invalid
4.0ms	12×	body	256	valid
3.0ms	22×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify151.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (145.0ms)

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: 20.2b

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))
23.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite30.0ms (0.3%)

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:

12.0ms	(*.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)))

series63.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 PI.f64 (/.f64 angle 180))
18.0ms	(*.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)))

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4939	1075
1	4939	1075

prune190.0ms (1.7%)

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: 19.2b

Counts

91 → 24

Compiler

Compiled 3013 to 2226 computations (26.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 (/.f64 angle 180))
0.3b	(.f64 (.f64 PI.f64 angle) 1/180)
23.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.0b	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))

rewrite24.0ms (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`
2×	`*-commutative_binary64_9` `unswap-sqr_binary64_46`
1×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `div-inv_binary64_75` `associate-*r/_binary64_20`

Counts

4 → 64

Calls

4 calls:

7.0ms	(*.f64 PI.f64 (/.f64 angle 180))
5.0ms	(.f64 (.f64 PI.f64 angle) 1/180)
2.0ms	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series60.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(.f64 (.f64 PI.f64 angle) 1/180)
18.0ms	(*.f64 PI.f64 (/.f64 angle 180))
13.0ms	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))
10.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4979	892
1	4979	892

prune150.0ms (1.3%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	68	8	76
Fresh	5	18	23
Picked	1	0	1
Done	0	0	0
Total	74	26	100

Merged error: 19.2b

Counts

100 → 26

Compiler

Compiled 2684 to 1930 computations (28.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 angle)
0.6b	(cbrt.f64 angle)
23.7b	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle))) (/.f64 (cbrt.f64 angle) 180)))
24.1b	(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 (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)

series197.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt.f64 angle)
77.0ms	(cbrt.f64 angle)
16.0ms	(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)))

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4977	478
1	4977	478

prune116.0ms (1%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	25	25
Picked	1	0	1
Done	0	0	0
Total	44	30	74

Merged error: 19.1b

Counts

74 → 30

Compiler

Compiled 2377 to 1629 computations (31.5% saved)

localize15.0ms (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 1/180))
23.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.2b	(sin.f64 (.f64 PI.f64 (.f64 angle 1/180)))

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_100`
14×	`add-cbrt-cube_binary64_114` `associate-r_binary64_18` `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`
6×	`associate-l_binary64_19`
5×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127`
4×	`add-log-exp_binary64_117` `pow-prod-down_binary64_149`
2×	`*-commutative_binary64_9` `unswap-sqr_binary64_46`
1×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `div-inv_binary64_75` `associate-*r/_binary64_20`

Counts

4 → 64

Calls

4 calls:

8.0ms	(*.f64 PI.f64 (/.f64 angle 180))
5.0ms	(.f64 PI.f64 (.f64 angle 1/180))
2.0ms	(sin.f64 (.f64 PI.f64 (.f64 angle 1/180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series60.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 PI.f64 (/.f64 angle 180))
18.0ms	(.f64 PI.f64 (.f64 angle 1/180))
13.0ms	(sin.f64 (.f64 PI.f64 (.f64 angle 1/180)))
10.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4944	891
1	4944	891

prune99.0ms (0.9%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	29	29
Picked	1	0	1
Done	0	0	0
Total	75	31	106

Merged error: 19.1b

Counts

106 → 31

Compiler

Compiled 1929 to 1385 computations (28.2% saved)

regimes915.0ms (8%)

Compiler: Compiled 11832 to 10122 computations (14.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	34
1	25	34

end0.0ms (0%)

sample7.1s (62.1%)

Algorithm

1×

intervals

Results

1.5s	1631×	body	1024	valid
1.3s	1418×	body	1024	invalid
665.0ms	5020×	body	128	valid
653.0ms	816×	body	512	valid
412.0ms	672×	body	512	invalid
230.0ms	166×	body	2048	valid
122.0ms	366×	body	256	valid
117.0ms	327×	body	256	invalid
90.0ms	673×	body	128	invalid
5.0ms	1×	body	4096	valid

Compiler

Compiled 1804 to 1540 computations (14.6% saved)

Details

analyze1.8s (15.5%)

sample155.0ms (1.4%)

simplify151.0ms (1.3%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite30.0ms (0.3%)

series63.0ms (0.5%)

simplify83.0ms (0.7%)

prune190.0ms (1.7%)

localize16.0ms (0.1%)

rewrite24.0ms (0.2%)

series60.0ms (0.5%)

simplify61.0ms (0.5%)

prune150.0ms (1.3%)

localize19.0ms (0.2%)

rewrite10.0ms (0.1%)

series197.0ms (1.7%)

simplify59.0ms (0.5%)

prune116.0ms (1%)

localize15.0ms (0.1%)

rewrite22.0ms (0.2%)

series60.0ms (0.5%)

simplify61.0ms (0.5%)

prune99.0ms (0.9%)

regimes915.0ms (8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.1s (62.1%)

Profiling