Details

analyze1.6s (11.5%)

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
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)

sample175.0ms (1.3%)

Algorithm

1×

intervals

Results

47.0ms	51×	body	1024	valid
45.0ms	49×	body	1024	invalid
20.0ms	165×	body	128	valid
18.0ms	26×	body	512	valid
12.0ms	20×	body	512	invalid
7.0ms	6×	body	2048	valid
3.0ms	8×	body	256	invalid
3.0ms	8×	body	256	valid
3.0ms	20×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify244.0ms (1.8%)

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

19.8b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64)))
0.1b	(pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
0.1b	(.f64 b (cos.f64 (.f64 (/.f64 angle 180) PI.f64)))
0.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2))
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
23.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.1b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite25.0ms (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

8 calls:

7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
0.0ms	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2))

series88.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(*.f64 (/.f64 angle 180) PI.f64)
27.0ms	(*.f64 (/.f64 angle 180) PI.f64)
20.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
14.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 512 to 464 computations (9.4% saved)

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4892	993
1	4892	993

prune301.0ms (2.2%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	65	25	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	25	91

Error

18.5b

Counts

91 → 25

Compiler

Compiled 3013 to 2266 computations (24.8% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b	(*.f64 (/.f64 angle 180) PI.f64)
0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
0.2b	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64)))
0.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b 1) 2))
0.2b	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64)))
0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
24.1b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_441`
16×	`associate-l_binary64_360`
15×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
14×	`add-exp-log_binary64_457`
11×	`add-cbrt-cube_binary64_455` `pow1_binary64_480`
10×	`times-frac_binary64_425`
6×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `prod-exp_binary64_468`
3×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `cbrt-unprod_binary64_452` `pow-unpow_binary64_496`
2×	`pow-exp_binary64_487` `*-commutative_binary64_350` `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` `unpow2_binary64_484` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 75

Calls

8 calls:

7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
5.0ms	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64)))
4.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
0.0ms	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (*.f64 b 1) 2))

series288.0ms (2.1%)

Counts

4 → 18

Calls

4 calls:

145.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
101.0ms	(.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64)))
26.0ms	(*.f64 (/.f64 angle 180) PI.f64)
15.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 634 to 626 computations (1.3% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4953	1256
1	4953	1256

prune217.0ms (1.6%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	74	19	93
Fresh	11	13	24
Picked	1	0	1
Done	0	0	0
Total	86	32	118

Error

18.5b

Counts

118 → 32

Compiler

Compiled 2702 to 2145 computations (20.6% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b	(pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180))) 2)
0.2b	(*.f64 angle PI.f64)
0.2b	(.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180)))
0.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180))) 2) (pow.f64 (*.f64 b 1) 2))
0.2b	(*.f64 angle PI.f64)
0.3b	(pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180))) 2)
0.3b	(/.f64 (*.f64 angle PI.f64) 180)
23.8b	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_457`
11×	`add-sqr-sqrt_binary64_441` `add-cbrt-cube_binary64_455`
9×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `pow1_binary64_480`
4×	`add-log-exp_binary64_458`
3×	`times-frac_binary64_425` `associate-r_binary64_359` `prod-exp_binary64_468` `associate-l_binary64_360` `pow-unpow_binary64_496` `associate-/r*_binary64_363`
2×	`pow-prod-down_binary64_490` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `pow-pow_binary64_491` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`clear-num_binary64_418` `unpow-prod-down_binary64_498` `div-inv_binary64_416` `unswap-sqr_binary64_387` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `-commutative_binary64_350` `frac-2neg_binary64_430` `unpow2_binary64_484` `associate-/l_binary64_364`

Counts

4 → 64

Calls

8 calls:

4.0ms	(/.f64 (*.f64 angle PI.f64) 180)
4.0ms	(pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180))) 2)
4.0ms	(*.f64 angle PI.f64)
2.0ms	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))
0.0ms	(+.f64 (pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180))) 2) (pow.f64 (*.f64 b 1) 2))

series202.0ms (1.4%)

Counts

4 → 15

Calls

4 calls:

139.0ms	(pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180))) 2)
25.0ms	(/.f64 (*.f64 angle PI.f64) 180)
19.0ms	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))
19.0ms	(*.f64 angle PI.f64)

Compiler

Compiled 528 to 523 computations (0.9% saved)

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4988	908
1	4988	908

prune166.0ms (1.2%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	5	26	31
Picked	0	1	1
Done	0	0	0
Total	78	33	111

Error

18.4b

Counts

111 → 33

Compiler

Compiled 2339 to 1790 computations (23.5% saved)

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b	(/.f64 angle (sqrt.f64 180))
0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))) 2)
0.2b	(.f64 a (sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (*.f64 PI.f64 (/.f64 angle (sqrt.f64 180))))))
0.0b	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))) 2) (pow.f64 (.f64 b 1) 2))
0.3b	(/.f64 angle (sqrt.f64 180))
0.4b	(.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180))))
0.4b	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
24.0b	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))

rewrite50.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`times-frac_binary64_425`
54×	`add-sqr-sqrt_binary64_441`
50×	`add-exp-log_binary64_457`
46×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
32×	`add-cbrt-cube_binary64_455`
31×	`sqrt-prod_binary64_435`
25×	`associate-l_binary64_360`
23×	`associate-r_binary64_359`
22×	`prod-exp_binary64_468`
12×	`cbrt-unprod_binary64_452` `div-exp_binary64_470`
11×	`pow1_binary64_480`
7×	`cbrt-undiv_binary64_453`
6×	`associate-/r*_binary64_363`
4×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458` `associate-*r/_binary64_361`
3×	`1-exp_binary64_463` `div-inv_binary64_416` `unswap-sqr_binary64_387` `rec-exp_binary64_469` `associate-/l*_binary64_364`
2×	`*-commutative_binary64_350`
1×	`associate-*l/_binary64_362` `clear-num_binary64_418` `frac-times_binary64_429` `frac-2neg_binary64_430`

Counts

4 → 142

Calls

8 calls:

14.0ms	(.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180))))
10.0ms	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
7.0ms	(/.f64 angle (sqrt.f64 180))
3.0ms	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))
0.0ms	(+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))) 2) (pow.f64 (.f64 b 1) 2))

series205.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180))))
55.0ms	(*.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))
40.0ms	(/.f64 angle (sqrt.f64 180))
30.0ms	(sin.f64 (.f64 (/.f64 1 (sqrt.f64 180)) (.f64 PI.f64 (/.f64 angle (sqrt.f64 180)))))

Compiler

Compiled 505 to 503 computations (0.4% saved)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4947	1893
1	4947	1893

prune278.0ms (2%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	148	6	154
Fresh	2	29	31
Picked	1	0	1
Done	0	1	1
Total	151	36	187

Error

18.3b

Counts

187 → 36

Compiler

Compiled 3884 to 3057 computations (21.3% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	755	3933
1	755	3933

regimes918.0ms (6.6%)

Compiler: Compiled 10711 to 9585 computations (10.5% saved)

bsearch0.0ms (0%)

regimes128.0ms (0.9%)

Compiler: Compiled 403 to 452 computations (-12.2% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

regimes119.0ms (0.9%)

Compiler: Compiled 335 to 392 computations (-17% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

regimes85.0ms (0.6%)

Compiler: Compiled 267 to 332 computations (-24.3% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

regimes57.0ms (0.4%)

Compiler: Compiled 128 to 180 computations (-40.6% saved)

bsearch212.0ms (1.5%)

Steps

Iters	Range		Point
8	5.204745464537803e+182	1.8199328867965e+186	5.265500795844197e+182

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes54.0ms (0.4%)

Compiler: Compiled 76 to 128 computations (-68.4% saved)

bsearch225.0ms (1.6%)

Steps

Iters	Range		Point
8	5.204745464537803e+182	1.8199328867965e+186	7.163792265325332e+182

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes27.0ms (0.2%)

Accuracy

Total 1.6b remaining (7.9%)

Threshold costs 0b (0%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch9.0ms (0.1%)

Compiler: Compiled 176 to 161 computations (8.5% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	85	264
1	85	264

end0.0ms (0%)

sample7.8s (55.7%)

Algorithm

1×

intervals

Results

1.4s	1584×	body	1024	valid
1.2s	1338×	body	1024	invalid
637.0ms	5056×	body	128	valid
491.0ms	825×	body	512	valid
433.0ms	711×	body	512	invalid
239.0ms	170×	body	2048	valid
130.0ms	364×	body	256	valid
124.0ms	339×	body	256	invalid
82.0ms	582×	body	128	invalid
4.0ms	1×	body	4096	valid

Compiler

Compiled 2576 to 2306 computations (10.5% saved)

Pareto

0.17642535844642518

Details

analyze1.6s (11.5%)

sample175.0ms (1.3%)

simplify244.0ms (1.8%)

prune3.0ms (0%)

localize14.0ms (0.1%)

rewrite25.0ms (0.2%)

series88.0ms (0.6%)

simplify107.0ms (0.8%)

prune301.0ms (2.2%)

localize12.0ms (0.1%)

rewrite25.0ms (0.2%)

series288.0ms (2.1%)

simplify65.0ms (0.5%)

prune217.0ms (1.6%)

localize12.0ms (0.1%)

rewrite19.0ms (0.1%)

series202.0ms (1.4%)

simplify63.0ms (0.5%)

prune166.0ms (1.2%)

localize16.0ms (0.1%)

rewrite50.0ms (0.4%)

series205.0ms (1.5%)

simplify97.0ms (0.7%)

prune278.0ms (2%)

simplify57.0ms (0.4%)

regimes918.0ms (6.6%)

bsearch0.0ms (0%)

regimes128.0ms (0.9%)

bsearch2.0ms (0%)

regimes119.0ms (0.9%)

bsearch1.0ms (0%)

regimes85.0ms (0.6%)

bsearch1.0ms (0%)

regimes57.0ms (0.4%)

bsearch212.0ms (1.5%)

regimes54.0ms (0.4%)

bsearch225.0ms (1.6%)

regimes27.0ms (0.2%)

bsearch9.0ms (0.1%)

simplify5.0ms (0%)

end0.0ms (0%)

sample7.8s (55.7%)

Profiling