Details

analyze1.7s (14.9%)

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
31.2%	68.6%	0.1%	8
31.2%	56.2%	12.6%	9
34.3%	53%	12.6%	10
37.4%	49.9%	12.6%	11
46.8%	40.6%	12.6%	12
47.8%	39.6%	12.6%	13
49.7%	37.1%	13.2%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample166.0ms (1.4%)

Algorithm

1×

intervals

Results

41.0ms	49×	body	1024	invalid
38.0ms	45×	body	1024	valid
19.0ms	157×	body	128	valid
16.0ms	28×	body	512	valid
14.0ms	24×	body	512	invalid
8.0ms	6×	body	2048	valid
6.0ms	20×	body	256	valid
5.0ms	19×	body	128	invalid
4.0ms	11×	body	256	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify154.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (149.0ms)

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

21.3b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 angle 180) PI.f64)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
24.0b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.1b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_441`
26×	`associate-l_binary64_360`
20×	`*-un-lft-identity_binary64_419` `times-frac_binary64_425` `add-cube-cbrt_binary64_454`
14×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
8×	`pow1_binary64_480`
6×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `div-inv_binary64_416` `-commutative_binary64_350` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 78

Calls

4 calls:

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

series63.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 (/.f64 angle 180) PI.f64)
19.0ms	(*.f64 (/.f64 angle 180) PI.f64)
13.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
11.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5021	1051

prune198.0ms (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

Error

20.1b

Counts

91 → 24

Compiler

Compiled 3051 to 2284 computations (25.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 PI.f64 1/180)))) 2)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
23.8b	(sin.f64 (.f64 angle (.f64 PI.f64 1/180)))
24.1b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_441`
13×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-l*_binary64_360`
12×	`add-exp-log_binary64_457`
10×	`times-frac_binary64_425`
9×	`add-cbrt-cube_binary64_455` `pow1_binary64_480`
4×	`add-log-exp_binary64_458`
3×	`associate-r_binary64_359` `prod-exp_binary64_468` `pow-unpow_binary64_496`
2×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `pow-pow_binary64_491`
1×	`associate-l/_binary64_362` `unpow-prod-down_binary64_498` `div-inv_binary64_416` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `-commutative_binary64_350` `unpow2_binary64_484` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 64

Calls

4 calls:

7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
5.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 PI.f64 1/180)))) 2)
2.0ms	(sin.f64 (.f64 angle (.f64 PI.f64 1/180)))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

series112.0ms (1%)

Counts

4 → 12

Calls

4 calls:

69.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 PI.f64 1/180)))) 2)
19.0ms	(*.f64 (/.f64 angle 180) PI.f64)
13.0ms	(sin.f64 (.f64 angle (.f64 PI.f64 1/180)))
11.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4988	1040
1	4988	1040

prune146.0ms (1.3%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	2	21	23
Picked	0	1	1
Done	0	0	0
Total	73	27	100

Error

20.1b

Counts

100 → 27

Compiler

Compiled 2748 to 2091 computations (23.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 angle 180) PI.f64)
0.5b	(/.f64 (*.f64 angle PI.f64) 180)
23.8b	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))
24.1b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_441`
14×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
13×	`times-frac_binary64_425` `associate-l_binary64_360`
6×	`pow1_binary64_480`
4×	`add-log-exp_binary64_458`
3×	`associate-r_binary64_359` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-/r*_binary64_363` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
2×	`div-inv_binary64_416` `unswap-sqr_binary64_387`
1×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `clear-num_binary64_418` `-commutative_binary64_350` `frac-2neg_binary64_430` `associate-/l*_binary64_364`

Counts

4 → 67

Calls

4 calls:

7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
4.0ms	(/.f64 (*.f64 angle PI.f64) 180)
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))

series60.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (/.f64 angle 180) PI.f64)
19.0ms	(/.f64 (*.f64 angle PI.f64) 180)
12.0ms	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))
10.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5053	919

prune150.0ms (1.3%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	1	24	25
Picked	1	0	1
Done	0	1	1
Total	78	28	106

Error

20.1b

Counts

106 → 28

Compiler

Compiled 2817 to 2110 computations (25.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 PI.f64 (cbrt.f64 180))
1.0b	(*.f64 (cbrt.f64 180) (cbrt.f64 180))
23.8b	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))
23.9b	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (*.f64 angle (/.f64 PI.f64 (cbrt.f64 180)))))

rewrite27.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_441`
28×	`cbrt-prod_binary64_450`
27×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
18×	`times-frac_binary64_425`
11×	`pow1_binary64_480`
8×	`add-exp-log_binary64_457`
6×	`pow1/3_binary64_501` `associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360` `associate-/r*_binary64_363`
5×	`add-cbrt-cube_binary64_455`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387`
3×	`associate-/l*_binary64_364`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`clear-num_binary64_418` `div-inv_binary64_416` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `frac-2neg_binary64_430` `pow2_binary64_500` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 93

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 180) (cbrt.f64 180))
4.0ms	(/.f64 PI.f64 (cbrt.f64 180))
2.0ms	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (*.f64 angle (/.f64 PI.f64 (cbrt.f64 180)))))
2.0ms	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))

series44.0ms (0.4%)

Counts

4 → 8

Calls

4 calls:

32.0ms	(cos.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 180) (cbrt.f64 180))) (*.f64 angle (/.f64 PI.f64 (cbrt.f64 180)))))
12.0ms	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))
0.0ms	(*.f64 (cbrt.f64 180) (cbrt.f64 180))
0.0ms	(/.f64 PI.f64 (cbrt.f64 180))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4897	1273
1	4897	1273

prune208.0ms (1.8%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	1	25	26
Picked	1	0	1
Done	0	1	1
Total	96	33	129

Error

19.9b

Counts

129 → 33

Compiler

Compiled 3396 to 2621 computations (22.8% saved)

regimes1.1s (9.8%)

Accuracy

Total 1.2b remaining (5.9%)

Threshold costs 0b (0%)

Compiler

Compiled 14642 to 12960 computations (11.5% 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%)

sample7.0s (60.4%)

Algorithm

1×

intervals

Results

1.4s	1577×	body	1024	valid
1.2s	1398×	body	1024	invalid
619.0ms	5026×	body	128	valid
455.0ms	807×	body	512	valid
389.0ms	669×	body	512	invalid
244.0ms	179×	body	2048	valid
127.0ms	408×	body	256	valid
117.0ms	327×	body	256	invalid
73.0ms	566×	body	128	invalid
13.0ms	3×	body	4096	valid

Compiler

Compiled 2217 to 1964 computations (11.4% saved)

Details

analyze1.7s (14.9%)

sample166.0ms (1.4%)

simplify154.0ms (1.3%)

prune3.0ms (0%)

localize17.0ms (0.1%)

rewrite24.0ms (0.2%)

series63.0ms (0.5%)

simplify60.0ms (0.5%)

prune198.0ms (1.7%)

localize18.0ms (0.2%)

rewrite20.0ms (0.2%)

series112.0ms (1%)

simplify44.0ms (0.4%)

prune146.0ms (1.3%)

localize18.0ms (0.2%)

rewrite20.0ms (0.2%)

series60.0ms (0.5%)

simplify75.0ms (0.6%)

prune150.0ms (1.3%)

localize20.0ms (0.2%)

rewrite27.0ms (0.2%)

series44.0ms (0.4%)

simplify68.0ms (0.6%)

prune208.0ms (1.8%)

regimes1.1s (9.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.0s (60.4%)

Profiling