Details

analyze1.1s (10.8%)

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)

sample72.0ms (0.7%)

Algorithm

1×

intervals

Results

37.0ms	111×	body	1024	valid
8.0ms	41×	body	512	valid
7.0ms	10×	body	2048	valid
5.0ms	79×	body	128	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

prune3.0ms (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

11.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	11.6b	(*.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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.1b	(cos.f64 (+.f64 a b))

rewrite96.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

24×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`

Counts

3 → 67

Calls

3 calls:

7.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
5.0ms	(cos.f64 (+.f64 a b))
5.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

Compiler

Compiled 1156 to 228 computations (80.3% saved)

series144.0ms (1.5%)

Error

10.4b

Counts

3 → 33

Calls

3 calls:

60.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
38.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
18.0ms	(cos.f64 (+.f64 a b))

Compiler

Compiled 1550 to 937 computations (39.5% saved)

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

422×	`unswap-sqr_binary64`
377×	`associate-/r*_binary64`
336×	`associate-*l/_binary64`
320×	`associate-*r/_binary64`
269×	`*-commutative_binary64`

Counts

100 → 88

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	1970
1	423	1824
2	1462	1803
3	3549	1780
4	4430	1780
5	5085	1780

prune94.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	77	11	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	11	89

Error

0.1b

Counts

89 → 11

Alt Table

Status	Error	Program
	12.0b	(.f64 (/.f64 r (.f64 (cbrt.f64 (cos.f64 (+.f64 b a))) (cbrt.f64 (cos.f64 (+.f64 b a))))) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 (+.f64 a b)))))
	32.9b	(.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
	35.5b	(.f64 (.f64 r (sqrt.f64 (sin.f64 b))) (/.f64 (sqrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
	12.3b	(.f64 (.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)) (cbrt.f64 (.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)))
	12.3b	(.f64 (.f64 r (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (/.f64 (cbrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
	33.6b	(*.f64 r (log.f64 (exp.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	12.3b	(.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (cbrt.f64 r)))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	12.3b	(.f64 r (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))) (cbrt.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))))
	29.3b	(.f64 r (+.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (+.f64 (.f64 1/2 (.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (.f64 a a))) (*.f64 a (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (/.f64 a (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 (sin.f64 b) 3))))))))
	29.3b	(+.f64 (.f64 (sin.f64 b) (+.f64 (/.f64 r (cos.f64 b)) (/.f64 (.f64 1/2 (.f64 a a)) (/.f64 (cos.f64 b) r)))) (.f64 r (*.f64 a (+.f64 (/.f64 (pow.f64 (sin.f64 b) 2) (pow.f64 (cos.f64 b) 2)) (/.f64 a (/.f64 (pow.f64 (cos.f64 b) 3) (pow.f64 (sin.f64 b) 3)))))))

Compiler

Compiled 1777 to 607 computations (65.8% saved)

localize13.0ms (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 r (/.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 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))

rewrite205.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
20×	`associate-r_binary64`
19×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 100

Calls

4 calls:

12.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
8.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
5.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
5.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2803 to 419 computations (85.1% saved)

series242.0ms (2.5%)

Error

0.1b

Counts

4 → 41

Calls

4 calls:

99.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
58.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a))))
34.0ms	(-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))
23.0ms	(*.f64 (sin.f64 b) (sin.f64 a))

Compiler

Compiled 2198 to 1288 computations (41.4% saved)

simplify166.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

485×	`associate-/r*_binary64`
440×	`associate-*l/_binary64`
279×	`associate-/r/_binary64`
218×	`associate-r_binary64`
204×	`associate-/l/_binary64`

Counts

141 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	4009
1	608	3710
2	2227	3416
3	4914	3416
4	5000	3416
5	4962	3416

prune158.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	111	10	121
Fresh	9	1	10
Picked	1	0	1
Done	0	0	0
Total	121	11	132

Error

0.0b

Counts

132 → 11

Alt Table

Status	Error	Program
	0.4b	(.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)))))
	1.2b	(.f64 (.f64 r (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (/.f64 (cbrt.f64 (sin.f64 b)) (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 b) (sin.f64 a)))))
	27.9b	(*.f64 (sqrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))) (sqrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))))
	12.3b	(.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (cbrt.f64 r)))
	1.2b	(.f64 (.f64 (cbrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))) (cbrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))) (cbrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))))
	1.4b	(.f64 r (.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b))) (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))))
	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))))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) 3))))
▶	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 a) (sin.f64 b)))))))
	0.4b	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))

Compiler

Compiled 3130 to 891 computations (71.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite290.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

120×	`times-frac_binary64`
112×	`add-sqr-sqrt_binary64`
77×	`*-un-lft-identity_binary64`
67×	`add-cube-cbrt_binary64`
23×	`associate-/r*_binary64`

Counts

4 → 161

Calls

4 calls:

20.0ms	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))
18.0ms	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
7.0ms	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
4.0ms	(/.f64 (sin.f64 b) (cos.f64 b))

Compiler

Compiled 3883 to 755 computations (80.6% saved)

series199.0ms (2%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

97.0ms	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
34.0ms	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))
31.0ms	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
11.0ms	(/.f64 (sin.f64 b) (cos.f64 b))

Compiler

Compiled 1579 to 977 computations (38.1% saved)

simplify183.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

586×	`associate-/r/_binary64`
578×	`associate-/r*_binary64`
575×	`associate-l_binary64`
449×	`associate-*l/_binary64`
295×	`associate-*r/_binary64`

Counts

197 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	5224
1	713	5034
2	2055	5019
3	4961	5019
4	4986	5019

prune153.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	121	12	133

Error

0.0b

Counts

133 → 12

Alt Table

Status	Error	Program
	1.2b	(/.f64 r (-.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (/.f64 (cos.f64 a) (/.f64 (cbrt.f64 (sin.f64 b)) (cos.f64 b)))) (sin.f64 a)))
	0.7b	(/.f64 r (-.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 b)) (cbrt.f64 (cos.f64 b))) (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 b))))) (sin.f64 a)))
▶	0.4b	(.f64 r (/.f64 1 (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))))
	0.4b	(.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)))))
	1.2b	(.f64 (.f64 (cbrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))) (cbrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))) (cbrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))))
	23.5b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
	1.1b	(/.f64 (/.f64 r (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))))) (cbrt.f64 (-.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))))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) 3))))
✓	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 a) (sin.f64 b)))))))
	0.4b	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))

Compiler

Compiled 3145 to 866 computations (72.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite220.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

50×	`add-sqr-sqrt_binary64`
44×	`*-un-lft-identity_binary64`
35×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
22×	`add-exp-log_binary64`

Counts

4 → 123

Calls

4 calls:

14.0ms	(.f64 r (/.f64 1 (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))))
9.0ms	(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
8.0ms	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
5.0ms	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))

Compiler

Compiled 3050 to 783 computations (74.3% saved)

series261.0ms (2.7%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

98.0ms	(.f64 r (/.f64 1 (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))))
58.0ms	(/.f64 1 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a)))
39.0ms	(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))
34.0ms	(/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b))

Compiler

Compiled 2059 to 1295 computations (37.1% saved)

simplify178.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

497×	`associate-/r*_binary64`
402×	`associate-*l/_binary64`
333×	`*-commutative_binary64`
304×	`associate-*r/_binary64`
270×	`associate-/r/_binary64`

Counts

164 → 140

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	225	4113
1	547	3819
2	1797	3796
3	4550	3790
4	4973	3790
5	4966	3790

prune146.0ms (1.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	140	12	152

Error

0.0b

Counts

152 → 12

Alt Table

Status	Error	Program
	1.2b	(/.f64 r (-.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (/.f64 (cos.f64 a) (/.f64 (cbrt.f64 (sin.f64 b)) (cos.f64 b)))) (sin.f64 a)))
	0.7b	(/.f64 r (-.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 b)) (cbrt.f64 (cos.f64 b))) (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cbrt.f64 (cos.f64 b))))) (sin.f64 a)))
	0.4b	(.f64 r (/.f64 1 (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))))
	0.4b	(.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)))))
	1.2b	(.f64 (.f64 (cbrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))) (cbrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))))) (cbrt.f64 (/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))))
	23.5b	(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
	1.1b	(/.f64 (/.f64 r (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))) (cbrt.f64 (-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (sin.f64 b)) (sin.f64 a))))) (cbrt.f64 (-.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))))
	0.5b	(.f64 r (/.f64 (sin.f64 b) (cbrt.f64 (pow.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))) 3))))
	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 a) (sin.f64 b)))))))
	0.4b	(.f64 (.f64 (sin.f64 b) r) (/.f64 1 (-.f64 (.f64 (cos.f64 b) (cos.f64 a)) (.f64 (sin.f64 b) (sin.f64 a)))))

Compiler

Compiled 2495 to 731 computations (70.7% saved)

regimes3.5s (35.7%)

Accuracy

Total 0.3b remaining (85.2%)

Threshold costs 0.3b (85.2%)

Compiler

Compiled 51755 to 28976 computations (44% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64`
2×	`cancel-sign-sub-inv_binary64`
1×	`unsub-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	24	26
2	32	26
3	38	26
4	41	26
5	42	26
6	42	26

end1.0ms (0%)

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

sample2.2s (23%)

Algorithm

1×

intervals

Results

995.0ms	3506×	body	1024	valid
264.0ms	1297×	body	512	valid
163.0ms	2422×	body	128	valid
125.0ms	181×	body	2048	valid
92.0ms	594×	body	256	valid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 363 to 208 computations (42.7% saved)

Details

analyze1.1s (10.8%)

sample72.0ms (0.7%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite96.0ms (1%)

series144.0ms (1.5%)

simplify109.0ms (1.1%)

prune94.0ms (1%)

localize13.0ms (0.1%)

rewrite205.0ms (2.1%)

series242.0ms (2.5%)

simplify166.0ms (1.7%)

prune158.0ms (1.6%)

localize11.0ms (0.1%)

rewrite290.0ms (3%)

series199.0ms (2%)

simplify183.0ms (1.9%)

prune153.0ms (1.6%)

localize13.0ms (0.1%)

rewrite220.0ms (2.3%)

series261.0ms (2.7%)

simplify178.0ms (1.8%)

prune146.0ms (1.5%)

regimes3.5s (35.7%)

simplify4.0ms (0%)

end1.0ms (0%)

sample2.2s (23%)

Profiling