Details

analyze1.4s (14.6%)

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
0%	99.9%	0.1%	6
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.8%	0.1%	9
19.5%	80.4%	0.1%	10
20.7%	79.2%	0.1%	11
22%	77.8%	0.1%	12
23.5%	76.4%	0.1%	13
23.8%	76%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample99.0ms (1%)

Algorithm

1×

intervals

Results

56.0ms	108×	body	1024	valid
12.0ms	46×	body	512	valid
11.0ms	10×	body	2048	valid
6.0ms	70×	body	128	valid
4.0ms	22×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`+-commutative_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	16	14
3	20	14
4	21	14
5	21	14

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

15.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	15.0b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0b	(cos.f64 (+.f64 a b))

rewrite66.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

24×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`

Counts

3 → 67

Calls

3 calls:

9.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1156 to 228 computations (80.3% saved)

series132.0ms (1.3%)

Error

13.4b

Counts

3 → 39

Calls

3 calls:

48.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
33.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
15.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1918 to 1143 computations (40.4% saved)

simplify104.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

561×	`associate-/r*_binary64`
437×	`associate-*l/_binary64`
397×	`associate-*r/_binary64`
281×	`associate-/r/_binary64`
239×	`associate-/l/_binary64`

Counts

106 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	2524
1	600	2378
2	2226	2333
3	4989	2333
4	4984	2333

prune79.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	10	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	10	92

Error

0.2b

Counts

92 → 10

Alt Table

Status	Error	Program
	36.0b	(.f64 (sqrt.f64 r) (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (sqrt.f64 r)))
	33.6b	(+.f64 (/.f64 (.f64 b r) (cos.f64 a)) (/.f64 (.f64 (sin.f64 a) (.f64 b (.f64 b r))) (pow.f64 (cos.f64 a) 2)))
	33.5b	(.f64 r (.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 b a))))))
	15.7b	(.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (cbrt.f64 r)))
	15.0b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))
	15.6b	(.f64 r (.f64 (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b))) (/.f64 (cbrt.f64 (sin.f64 b)) (cos.f64 (+.f64 b a)))))
	15.7b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))) (cbrt.f64 (/.f64 (.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a))))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 b a)))))
	15.0b	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (cos.f64 (+.f64 a b))))
	32.7b	(.f64 r (/.f64 (sin.f64 b) (+.f64 (+.f64 (cos.f64 a) (.f64 (sin.f64 a) (-.f64 (.f64 1/6 (pow.f64 b 3)) b))) (.f64 (.f64 b b) (.f64 (cos.f64 a) -1/2)))))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))

Compiler

Compiled 1971 to 711 computations (63.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
0.2b	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
0.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))

rewrite138.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
20×	`associate-r_binary64`
19×	`times-frac_binary64`

Counts

4 → 100

Calls

4 calls:

9.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
6.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
6.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
4.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))

Compiler

Compiled 2803 to 419 computations (85.1% saved)

series363.0ms (3.7%)

Error

0.1b

Counts

4 → 49

Calls

4 calls:

239.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
53.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
25.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
19.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2718 to 1566 computations (42.4% saved)

simplify148.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

307×	`associate-/l/_binary64`
291×	`associate-r_binary64`
259×	`cancel-sign-sub-inv_binary64`
258×	`associate-l_binary64`
203×	`associate-/l*_binary64`

Counts

149 → 116

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	4645
1	802	4346
2	3077	4013
3	4617	4013
4	4957	4013

prune104.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	107	9	116
Fresh	9	0	9
Picked	1	0	1
Done	0	0	0
Total	117	9	126

Error

0.0b

Counts

126 → 9

Alt Table

Status	Error	Program
	0.4b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)))) (+.f64 (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (+.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
	0.6b	(.f64 r (/.f64 (sin.f64 b) (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
	1.2b	(.f64 r (.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))) (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))) (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))))
	0.4b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2))))) (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
	0.3b	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
	0.8b	(.f64 (/.f64 r (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 (sin.f64 b) (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))
▶	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
	0.5b	(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)))) (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))

Compiler

Compiled 3323 to 1041 computations (68.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
0.1b	(*.f64 (sin.f64 b) r)
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
0.2b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

rewrite110.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`

Counts

4 → 76

Calls

4 calls:

7.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
4.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
3.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
3.0ms	(*.f64 (sin.f64 b) r)

Compiler

Compiled 1877 to 293 computations (84.4% saved)

series192.0ms (2%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

95.0ms	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))
26.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
20.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
17.0ms	(*.f64 (sin.f64 b) r)

Compiler

Compiled 2368 to 1347 computations (43.1% saved)

simplify116.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

346×	`associate-/l/_binary64`
337×	`associate-/r/_binary64`
337×	`cancel-sign-sub-inv_binary64`
225×	`distribute-rgt-neg-in_binary64`
217×	`associate-r_binary64`

Counts

122 → 99

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	2970
1	691	2734
2	2576	2606
3	4789	2606
4	4973	2606

prune101.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	100	8	108

Error

0.0b

Counts

108 → 8

Alt Table

Status	Error	Program
	0.4b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)))) (+.f64 (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (+.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
	0.4b	(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)))) (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
	0.6b	(.f64 r (/.f64 (sin.f64 b) (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
	1.2b	(.f64 r (.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))) (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))) (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))))
▶	0.3b	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
	0.8b	(.f64 (/.f64 r (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 b) (sin.f64 a)))))) (/.f64 (sin.f64 b) (cbrt.f64 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))
✓	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

Compiler

Compiled 2399 to 749 computations (68.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (sin.f64 b) r)
0.2b	(/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
0.2b	(*.f64 (sin.f64 b) (sin.f64 a))
0.3b	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))

rewrite157.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-exp-log_binary64`
27×	`add-sqr-sqrt_binary64`
23×	`associate-r_binary64`
23×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`

Counts

4 → 114

Calls

4 calls:

11.0ms	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
6.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
4.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
3.0ms	(*.f64 (sin.f64 b) r)

Compiler

Compiled 3122 to 726 computations (76.7% saved)

series207.0ms (2.1%)

Error

0.0b

Counts

4 → 46

Calls

4 calls:

85.0ms	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))
45.0ms	(/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
20.0ms	(*.f64 (sin.f64 b) (sin.f64 a))
18.0ms	(*.f64 (sin.f64 b) r)

Compiler

Compiled 2789 to 1640 computations (41.2% saved)

simplify172.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

597×	`associate-/r*_binary64`
314×	`associate-l_binary64`
296×	`associate-r_binary64`
245×	`cancel-sign-sub-inv_binary64`
235×	`associate-/r/_binary64`

Counts

160 → 134

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	4308
1	781	3914
2	2873	3778
3	5386	3778

prune113.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	134	8	142

Error

0.0b

Counts

142 → 8

Alt Table

Status	Error	Program
	0.4b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (pow.f64 (.f64 (cos.f64 a) (cos.f64 b)) 3) (pow.f64 (.f64 (sin.f64 b) (sin.f64 a)) 3)))) (+.f64 (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (cos.f64 b) (cos.f64 a))) (+.f64 (.f64 (.f64 (sin.f64 b) (sin.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))) (.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))))
	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
	0.4b	(.f64 (/.f64 (.f64 r (sin.f64 b)) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)))) (+.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
	0.6b	(.f64 r (/.f64 (sin.f64 b) (log.f64 (exp.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))))
	1.2b	(.f64 r (.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))) (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))) (cbrt.f64 (/.f64 1 (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))))
	0.5b	(.f64 (.f64 (sin.f64 b) r) (cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) 3)))
	1.0b	(.f64 (.f64 (.f64 r (sin.f64 b)) (.f64 (cbrt.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))) (cbrt.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))) (cbrt.f64 (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))))
	0.3b	(/.f64 (.f64 (sin.f64 b) r) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a))))

Compiler

Compiled 2797 to 869 computations (68.9% saved)

regimes2.8s (28.8%)

Accuracy

Total 0.3b remaining (83.2%)

Threshold costs 0.3b (83.2%)

Compiler

Compiled 48880 to 26031 computations (46.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	21	26
2	31	26
3	37	26
4	41	26
5	42	26
6	42	26

end1.0ms (0%)

Compiler: Compiled 19 to 12 computations (36.8% saved)

sample3.1s (31.5%)

Algorithm

1×

intervals

Results

1.7s	3405×	body	1024	valid
370.0ms	1373×	body	512	valid
218.0ms	2401×	body	128	valid
214.0ms	179×	body	2048	valid
124.0ms	642×	body	256	valid
1.0ms	2×	body	1024	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 314 to 173 computations (44.9% saved)

Details

analyze1.4s (14.6%)

sample99.0ms (1%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite66.0ms (0.7%)

series132.0ms (1.3%)

simplify104.0ms (1.1%)

prune79.0ms (0.8%)

localize14.0ms (0.1%)

rewrite138.0ms (1.4%)

series363.0ms (3.7%)

simplify148.0ms (1.5%)

prune104.0ms (1.1%)

localize14.0ms (0.1%)

rewrite110.0ms (1.1%)

series192.0ms (2%)

simplify116.0ms (1.2%)

prune101.0ms (1%)

localize16.0ms (0.2%)

rewrite157.0ms (1.6%)

series207.0ms (2.1%)

simplify172.0ms (1.8%)

prune113.0ms (1.1%)

regimes2.8s (28.8%)

simplify4.0ms (0%)

end1.0ms (0%)

sample3.1s (31.5%)

Profiling