Details

analyze941.0ms (8.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	6
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	7
25.4%	25%	73.4%	0.1%	1.6%	0%	0%	8
29%	28.1%	68.7%	0.1%	3.1%	0%	0%	9
33.2%	31.2%	62.8%	0.1%	5.9%	0%	0%	10
35.3%	32.8%	60.1%	0.1%	7%	0%	0%	11
37.7%	34.3%	56.7%	0.1%	8.9%	0%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample2.2s (19.7%)

Results

1.0s	2324×	body	1024	valid
758.0ms	4703×	body	256	valid
359.0ms	1223×	body	512	valid
47.0ms	311×	body	256	infinite
4.0ms	6×	body	2048	valid
0.0ms	1×	body	1024	infinite

Bogosity

preprocess81.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

698×	`fma-def_binary64`
260×	`fma-neg_binary64`
199×	`associate-/r*_binary64`
178×	`distribute-rgt-in_binary64`
166×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	41	28
2	98	28
3	173	28
4	275	28
5	417	28
6	520	28
7	665	28
8	828	28
9	877	28
10	917	28
11	1082	28
12	1594	28
13	3170	28
14	3388	28
15	3448	28
16	3484	28
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 B (/.f64 1 (tan.f64 x)))) (/.f64 1 (sin.f64 x)))

Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (tan.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 B (/.f64 1 (tan.f64 x)))) (/.f64 1 (sin.f64 x)))
(+.f64 (*.f64 (neg.f64 B) (/.f64 1 (tan.f64 x))) (/.f64 1 (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 B (tan.f64 x)))

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

105×	`fma-def_binary64`
66×	`fma-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
19×	`sub-neg_binary64`
11×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))

Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

eval1.0ms (0%)

Compiler: Compiled 23 to 15 computations (34.8% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
▶	0.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))

Compiler

Compiled 25 to 19 computations (24% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
✓	0.1b	(/.f64 1 (sin.f64 B))
✓	0.2b	(/.f64 1 (tan.f64 B))
✓	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))

Compiler

Compiled 42 to 23 computations (45.2% saved)

series13.0ms (0.1%)

Counts

4 → 64

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 x (/.f64 1 (tan.f64 B)))
2.0ms	B	@	inf	(*.f64 x (/.f64 1 (tan.f64 B)))
1.0ms	x	@	inf	(*.f64 x (/.f64 1 (tan.f64 B)))
1.0ms	B	@	-inf	(*.f64 x (/.f64 1 (tan.f64 B)))
1.0ms	B	@	0	(*.f64 x (/.f64 1 (tan.f64 B)))

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
394×	`fma-def_binary64`
334×	`pow-prod-down_binary64`
283×	`pow2_binary64`
228×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	240	32
2	3340	32

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

Inputs
(*.f64 x (/.f64 1 (tan.f64 B)))
(/.f64 1 (tan.f64 B))
(/.f64 1 (sin.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (tan.f64 B) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (tan.f64 B))) (sqrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (/.f64 x (tan.f64 B)) 3)) (+.f64 0 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (.f64 0 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) 1) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) -1) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -1) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) (cbrt.f64 (pow.f64 (tan.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (tan.f64 B) -2)) (/.f64 1 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (tan.f64 B) -1/2) (pow.f64 (tan.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 -1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (tan.f64 B)) -2) (/.f64 1 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 B)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 B)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (tan.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (tan.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (tan.f64 B))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 B)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 B)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sin.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 B))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (/.f64 (pow.f64 (sin.f64 B) -2) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (sin.f64 B)) 0) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (+.f64 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simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

682×	`sub-neg_binary64`
502×	`distribute-rgt-in_binary64`
494×	`fma-def_binary64`
480×	`distribute-lft-in_binary64`
370×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	946
1	225	913
2	695	893
3	3071	889
4	7532	889

Stop Event

1×	node limit

Counts

260 → 232

Calls

Call 1

Inputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))

Outputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(fma.f64 (*.f64 B -1/3) x (/.f64 x B))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(-.f64 (fma.f64 (.f64 B -1/3) x (/.f64 x B)) (.f64 x (*.f64 1/45 (pow.f64 B 3))))
(fma.f64 B (.f64 x -1/3) (fma.f64 (pow.f64 B 3) (.f64 x -1/45) (/.f64 x B)))
(+.f64 (/.f64 x B) (.f64 x (fma.f64 (pow.f64 B 3) -1/45 (.f64 B -1/3))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (.f64 -1/3 (.f64 x 1/45)))) (pow.f64 B 5)) (fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(-.f64 (-.f64 (fma.f64 (.f64 B -1/3) x (/.f64 x B)) (.f64 x (.f64 1/45 (pow.f64 B 3)))) (.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105)) (pow.f64 B 5)))
(-.f64 (fma.f64 B (.f64 x -1/3) (/.f64 x B)) (fma.f64 (.f64 x 2/945) (pow.f64 B 5) (.f64 x (.f64 (pow.f64 B 3) 1/45))))
(+.f64 (/.f64 x B) (fma.f64 (pow.f64 B 5) (.f64 x -2/945) (.f64 x (fma.f64 (pow.f64 B 3) -1/45 (*.f64 B -1/3)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(fma.f64 -1/3 B (/.f64 1 B))
(fma.f64 B -1/3 (/.f64 1 B))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (/.f64 1 B)))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (/.f64 1 B)))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (fma.f64 -2/945 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (fma.f64 (pow.f64 B 5) -2/945 (/.f64 1 B))))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 5) -2/945 (fma.f64 (pow.f64 B 3) -1/45 (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 (pow.f64 B 3) 7/360 (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (fma.f64 (pow.f64 B 5) 31/15120 (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 (pow.f64 B 3) 7/360 (fma.f64 (pow.f64 B 5) 31/15120 (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 B (+.f64 1/6 (.f64 x 1/3))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/6 (.f64 x 1/3)) B (fma.f64 (+.f64 (.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (fma.f64 17/315 x (+.f64 (fma.f64 -2/45 x (.f64 -1/3 (.f64 x 1/45))) 31/15120)) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (.f64 x 1/3)) B (fma.f64 (+.f64 (.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105)) 31/15120) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	0.1b	(/.f64 1 (sin.f64 B))
✓	0.2b	(/.f64 x (tan.f64 B))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.0ms	x	@	0	(/.f64 x (tan.f64 B))
0.0ms	B	@	0	(/.f64 x (tan.f64 B))
0.0ms	B	@	inf	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.0ms	x	@	inf	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

rewrite98.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`prod-diff_binary64`
495×	`log-prod_binary64`
276×	`fma-def_binary64`
272×	`pow2_binary64`
200×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	199	20
2	2915	20

Stop Event

1×	node limit

Counts

2 → 238

Calls

Call 1

Inputs
(/.f64 x (tan.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 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Outputs

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B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (tan.f64 B) (sin.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (tan.f64 B) (sin.f64 B))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))) (pow.f64 (sin.f64 B) -2))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 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(/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) 2) (cbrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (sqrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))))

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

683×	`sub-neg_binary64`
520×	`distribute-rgt-in_binary64`
506×	`distribute-lft-in_binary64`
370×	`cancel-sign-sub-inv_binary64`
348×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	784
1	168	751
2	549	731
3	2780	729
4	7258	729

Stop Event

1×	node limit

Counts

286 → 260

Calls

Call 1

Inputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))

Outputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(fma.f64 (*.f64 B -1/3) x (/.f64 x B))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(fma.f64 (neg.f64 (.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (.f64 B -1/3) x (/.f64 x B)))
(fma.f64 B (.f64 x -1/3) (fma.f64 (pow.f64 B 3) (.f64 x -1/45) (/.f64 x B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (.f64 -1/3 (.f64 x 1/45)))) (pow.f64 B 5)) (fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(fma.f64 (neg.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105))) (pow.f64 B 5) (fma.f64 (neg.f64 (.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (.f64 B -1/3) x (/.f64 x B))))
(-.f64 (fma.f64 B (.f64 x -1/3) (/.f64 x B)) (fma.f64 (.f64 x 2/945) (pow.f64 B 5) (.f64 (.f64 x 1/45) (pow.f64 B 3))))
(fma.f64 (pow.f64 B 5) (.f64 x -2/945) (fma.f64 B (.f64 x -1/3) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (/.f64 x B))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 B (+.f64 1/6 (.f64 x 1/3))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/6 (.f64 x 1/3)) B (fma.f64 (+.f64 (.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (fma.f64 17/315 x (+.f64 (fma.f64 -2/45 x (.f64 -1/3 (.f64 x 1/45))) 31/15120)) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (.f64 x 1/3)) B (fma.f64 (+.f64 (.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105)) 31/15120) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

eval155.0ms (1.4%)

Compiler: Compiled 11313 to 4841 computations (57.2% saved)

prune97.0ms (0.9%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	506	23	529
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	507	24	531

Error

Counts

531 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.6b	(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
▶	25.7b	(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
	17.0b	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
✓	0.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	25.7b	(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
	0.2b	(fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))
	34.9b	(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
	36.8b	(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
	36.9b	(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
	0.2b	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
	32.7b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
	1.2b	(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)
	0.8b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))
	26.8b	(/.f64 1 (sin.f64 B))
▶	0.2b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
	36.8b	(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
	17.3b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
	11.5b	(/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (.f64 (tan.f64 B) (sin.f64 B)))
	33.0b	(-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2))
	32.2b	(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B)))
▶	28.3b	(-.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
▶	34.8b	(/.f64 (-.f64 1 x) B)
	36.9b	(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (pow.f64 (sin.f64 B) -2)) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))
	25.0b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 687 to 504 computations (26.6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
	0.1b	(/.f64 1 (sin.f64 B))
✓	0.1b	(/.f64 (tan.f64 B) x)
✓	0.3b	(/.f64 1 (/.f64 (tan.f64 B) x))

Compiler

Compiled 42 to 19 computations (54.8% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	B	@	0	(/.f64 (tan.f64 B) x)
1.0ms	B	@	inf	(/.f64 (tan.f64 B) x)
0.0ms	B	@	-inf	(/.f64 (tan.f64 B) x)
0.0ms	x	@	-inf	(/.f64 (tan.f64 B) x)
0.0ms	x	@	0	(/.f64 (tan.f64 B) x)

rewrite94.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
365×	`fma-def_binary64`
339×	`pow-prod-down_binary64`
287×	`pow2_binary64`
240×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	242	26
2	3480	26

Stop Event

1×	node limit

Counts

3 → 354

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (tan.f64 B) x))
(/.f64 (tan.f64 B) x)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2)) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2)) (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) -2) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) -2) (/.f64 x (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 B) -1/2) (/.f64 x (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 B))) (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 B) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 B) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 B) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 B) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 B) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 2) (cbrt.f64 (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (tan.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) (*.f64 (cbrt.f64 (tan.f64 B)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) (sqrt.f64 (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) (neg.f64 (sqrt.f64 (/.f64 (tan.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 B)) (*.f64 (sqrt.f64 (tan.f64 B)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 B)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 B)) (/.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 B) x))) (sqrt.f64 (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 2)) (cbrt.f64 (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (/.f64 (pow.f64 (sin.f64 B) -2) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (sin.f64 B)) 0) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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(cbrt.f64 (pow.f64 (sin.f64 B) -2))) (cbrt.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2)))))))

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

684×	`sub-neg_binary64`
520×	`distribute-rgt-in_binary64`
506×	`distribute-lft-in_binary64`
378×	`fma-def_binary64`
370×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1082
1	214	1047
2	661	1027
3	3015	1025
4	7695	1025

Stop Event

1×	node limit

Counts

426 → 385

Calls

Call 1

Inputs
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 B x)
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (/.f64 B x))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (/.f64 B x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 17/315 (/.f64 (pow.f64 B 7) x)))))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))

Outputs
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 x B)))
(fma.f64 (*.f64 B -1/3) x (/.f64 x B))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 x B))))
(-.f64 (fma.f64 (.f64 B -1/3) x (/.f64 x B)) (.f64 (*.f64 x 1/45) (pow.f64 B 3)))
(fma.f64 x (.f64 B -1/3) (fma.f64 (pow.f64 B 3) (.f64 x -1/45) (/.f64 x B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (.f64 -1/3 (.f64 x 1/45)))) (pow.f64 B 5)) (fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 x B)))))
(fma.f64 (neg.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105))) (pow.f64 B 5) (-.f64 (fma.f64 (.f64 B -1/3) x (/.f64 x B)) (.f64 (*.f64 x 1/45) (pow.f64 B 3))))
(-.f64 (fma.f64 B (.f64 x -1/3) (/.f64 x B)) (fma.f64 (.f64 x 2/945) (pow.f64 B 5) (.f64 1/45 (.f64 x (pow.f64 B 3)))))
(fma.f64 (pow.f64 B 3) (.f64 x -1/45) (fma.f64 (pow.f64 B 5) (.f64 x -2/945) (fma.f64 x (*.f64 B -1/3) (/.f64 x B))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 B x)
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (/.f64 B x))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (/.f64 B x))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (/.f64 B x)))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (/.f64 B x)))
(fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (/.f64 B x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 17/315 (/.f64 (pow.f64 B 7) x)))))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (+.f64 (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (/.f64 B x)) (*.f64 17/315 (/.f64 (pow.f64 B 7) x))))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 17/315 (/.f64 (pow.f64 B 7) x) (/.f64 B x))))
(fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 17/315 (/.f64 (pow.f64 B 7) x) (/.f64 B x))))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 B (+.f64 1/6 (.f64 x 1/3))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/6 (.f64 x 1/3)) B (fma.f64 (+.f64 (.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(fma.f64 B (fma.f64 x 1/3 1/6) (+.f64 (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360)) (/.f64 (-.f64 1 x) B)))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (fma.f64 17/315 x (+.f64 (fma.f64 -2/45 x (.f64 -1/3 (.f64 x 1/45))) 31/15120)) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (.f64 x 1/3)) B (fma.f64 (+.f64 (.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105)) 31/15120) (fma.f64 B (fma.f64 x 1/3 1/6) (+.f64 (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360)) (/.f64 (-.f64 1 x) B))))
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 x) B)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (-.f64 1 x) B)
1.0ms	x	@	0	(/.f64 (-.f64 1 x) B)
1.0ms	x	@	inf	(/.f64 (-.f64 1 x) B)
0.0ms	B	@	-inf	(/.f64 (-.f64 1 x) B)
0.0ms	B	@	inf	(/.f64 (-.f64 1 x) B)

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`pow1_binary64`
706×	`add-log-exp_binary64`
706×	`log1p-expm1-u_binary64`
706×	`expm1-log1p-u_binary64`
692×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1797	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 (-.f64 1 x) B)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 B) (neg.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 B) (/.f64 x B))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 B) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 B) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 (-.f64 1 x) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 B (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))))))

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

202×	`fma-def_binary64`
125×	`fma-neg_binary64`
44×	`cancel-sign-sub-inv_binary64`
31×	`distribute-rgt-in_binary64`
26×	`unsub-neg_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	9	115
1	17	106
2	25	106
3	35	106
4	48	106
5	74	106
6	130	106
7	253	106
8	494	79
9	732	79
10	829	79
11	895	79

Stop Event

1×

saturated

Counts

45 → 38

Calls

Call 1

Inputs
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))

Outputs
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(fma.f64 -1 (/.f64 x B) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 (-.f64 1 x) B)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/6 B) (/.f64 1 B))
	0.2b	(/.f64 1 (tan.f64 B))
✓	0.3b	(*.f64 1/6 B)
	0.3b	(*.f64 x (/.f64 1 (tan.f64 B)))

Compiler

Compiled 53 to 33 computations (37.7% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	B	@	0	(*.f64 1/6 B)
0.0ms	B	@	-inf	(*.f64 1/6 B)
0.0ms	B	@	inf	(*.f64 1/6 B)
0.0ms	B	@	inf	(+.f64 (*.f64 1/6 B) (/.f64 1 B))
0.0ms	B	@	0	(+.f64 (*.f64 1/6 B) (/.f64 1 B))

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`pow1_binary64`
701×	`add-log-exp_binary64`
701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
687×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	151	12
2	1947	12

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(*.f64 1/6 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 B 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 B B) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) B))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 B 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 B)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/6 B (/.f64 1 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 B B) 1/36) (-.f64 (*.f64 1/6 B) (/.f64 1 B))) (/.f64 (pow.f64 B -2) (-.f64 (*.f64 1/6 B) (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/6 B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 B (/.f64 1 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/6 B (/.f64 1 B))) (pow.f64 (cbrt.f64 (fma.f64 1/6 B (/.f64 1 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 B (/.f64 1 B))) 2) (cbrt.f64 (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 B (/.f64 1 B))) (sqrt.f64 (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 B 3) 1/216) (pow.f64 B -3)) (/.f64 1 (+.f64 (*.f64 (*.f64 B B) 1/36) (-.f64 (pow.f64 B -2) (/.f64 (*.f64 1/6 B) B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 B B) 1/36) (pow.f64 B -2)) (/.f64 1 (-.f64 (*.f64 1/6 B) (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 B B) 1/36) (-.f64 (pow.f64 B -2) (/.f64 (*.f64 1/6 B) B))) (+.f64 (*.f64 (pow.f64 B 3) 1/216) (pow.f64 B -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/6 B) (/.f64 1 B)) (-.f64 (*.f64 (*.f64 B B) 1/36) (pow.f64 B -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 B 3) 1/216) (pow.f64 B -3)) (+.f64 (*.f64 (*.f64 B B) 1/36) (-.f64 (pow.f64 B -2) (/.f64 (*.f64 1/6 B) B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 B 3) 1/216) (pow.f64 B -3)) (+.f64 (pow.f64 B -2) (-.f64 (*.f64 (*.f64 B B) 1/36) (/.f64 (*.f64 1/6 B) B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 B B) 1/36) (pow.f64 B -2)) (-.f64 (*.f64 1/6 B) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 B 3) 1/216) (pow.f64 B -3))) (neg.f64 (+.f64 (*.f64 (*.f64 B B) 1/36) (-.f64 (pow.f64 B -2) (/.f64 (*.f64 1/6 B) B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 B B) 1/36) (pow.f64 B -2))) (neg.f64 (-.f64 (*.f64 1/6 B) (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 B -2) (*.f64 (*.f64 B B) 1/36)) (-.f64 (/.f64 1 B) (*.f64 1/6 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/6 B (/.f64 1 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/6 B (/.f64 1 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 B (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 B 1/6 (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 B) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 B) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 B -2)) (/.f64 1 (cbrt.f64 B)) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 B)) 2) (cbrt.f64 (*.f64 1/6 B)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 B -1/2) (pow.f64 B -1/2) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/6 B)) (sqrt.f64 (*.f64 1/6 B)) (/.f64 1 B))))))

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	9	12

Stop Event

1×

saturated

Counts

49 → 49

Calls

Call 1

Inputs
(/.f64 1 B)
(*.f64 1/6 B)
(*.f64 1/6 B)

Outputs
(/.f64 1 B)
(*.f64 1/6 B)
(*.f64 B 1/6)
(*.f64 1/6 B)
(*.f64 B 1/6)

localize107.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))))))
✓	1.3b	(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5))
✓	1.3b	(+.f64 (.f64 -1/9 x) (.f64 2/15 x))
✓	1.5b	(.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3))

Compiler

Compiled 307 to 233 computations (24.1% saved)

series14.0ms (0.1%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5))
1.0ms	B	@	0	(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5))
1.0ms	B	@	0	(.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3))
1.0ms	x	@	0	(.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3))
1.0ms	x	@	inf	(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

299×	`add-sqr-sqrt_binary64`
285×	`add-log-exp_binary64`
285×	`log1p-expm1-u_binary64`
285×	`expm1-log1p-u_binary64`
283×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	59
1	608	51

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

Inputs
(.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3))
(+.f64 (.f64 -1/9 x) (.f64 2/15 x))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5))
(+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))))))

Outputs
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(2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 17/315 31/15120) 3) (pow.f64 (fma.f64 x -2/45 (.f64 x -1/135)) 3)) (+.f64 (.f64 (fma.f64 x 17/315 31/15120) (fma.f64 x 17/315 31/15120)) (-.f64 (pow.f64 (fma.f64 x -2/45 (.f64 x -1/135)) 2) (.f64 (fma.f64 x 17/315 31/15120) (fma.f64 x -2/45 (.f64 x -1/135))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 31/15120 (fma.f64 x -2/45 (.f64 x -1/135))) 2) (.f64 289/99225 (.f64 x x))) (-.f64 (+.f64 31/15120 (fma.f64 x -2/45 (.f64 x -1/135))) (.f64 x 17/315)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (fma.f64 x 17/315 31/15120) (fma.f64 x 17/315 31/15120)) (pow.f64 (fma.f64 x -2/45 (.f64 x -1/135)) 2)) (-.f64 (fma.f64 x 17/315 31/15120) (fma.f64 x -2/45 (.f64 x -1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 x -2/45 (.f64 x -1/135)) (fma.f64 x 17/315 31/15120)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 x -2/45 (.f64 x -1/135)) (fma.f64 x 17/315 31/15120)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 x -2/45 (.f64 x -1/135)) (fma.f64 x 17/315 31/15120))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 x -2/45 (.f64 x -1/135)) (fma.f64 x 17/315 31/15120))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 x -2/45 (.f64 x -1/135)) (fma.f64 x 17/315 31/15120)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 x -2/45 (.f64 x -1/135)) (fma.f64 x 17/315 31/15120))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x -2/45 (.f64 x -1/135)) (fma.f64 x 17/315 31/15120)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 x -2/45 (.f64 x -1/135)) (fma.f64 x 17/315 31/15120)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 x -2/45 (.f64 x -1/135)) (fma.f64 x 17/315 31/15120))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 x -2/45 (.f64 x -1/135)) (fma.f64 x 17/315 31/15120))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 x -2/45 (.f64 x -1/135)) (fma.f64 x 17/315 31/15120))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (fma.f64 x -2/45 (.f64 x -1/135)) (fma.f64 x 17/315 31/15120))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 17/315 (+.f64 31/15120 (fma.f64 x -2/45 (.f64 x -1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 17/315 x (+.f64 31/15120 (fma.f64 x -2/45 (.f64 x -1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 17/315) (+.f64 31/15120 (fma.f64 x -2/45 (.f64 x -1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 31/15120 (fma.f64 x -2/45 (.f64 x -1/135))) (.f64 x 17/315))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 289/99225 (.f64 x x))) (cbrt.f64 (.f64 x 17/315)) (+.f64 31/15120 (fma.f64 x -2/45 (.f64 x -1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 31/15120 (fma.f64 x -2/45 (.f64 x -1/135))) 2)) (cbrt.f64 (+.f64 31/15120 (fma.f64 x -2/45 (.f64 x -1/135)))) (.f64 x 17/315))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 17/315)) (sqrt.f64 (.f64 x 17/315)) (+.f64 31/15120 (fma.f64 x -2/45 (.f64 x -1/135))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 31/15120 (fma.f64 x -2/45 (.f64 x -1/135)))) (sqrt.f64 (+.f64 31/15120 (fma.f64 x -2/45 (.f64 x -1/135)))) (.f64 x 17/315))))))

simplify143.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

889×	`distribute-rgt-in_binary64`
852×	`distribute-lft-in_binary64`
567×	`distribute-rgt-out_binary64`
516×	`unswap-sqr_binary64`
443×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	616
1	89	460
2	261	442
3	813	442
4	2907	442
5	5735	442
6	5879	442
7	6241	442
8	6896	442
9	6998	442
10	7151	442
11	7801	442

Stop Event

1×	node limit

Counts

188 → 148

Calls

Call 1

Inputs
(*.f64 7/360 (pow.f64 B 3))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(.f64 1/45 (.f64 x (pow.f64 B 3)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(.f64 1/45 (.f64 x (pow.f64 B 3)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 31/15120 (pow.f64 B 5))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(.f64 2/945 (.f64 x (pow.f64 B 5)))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(.f64 2/945 (.f64 x (pow.f64 B 5)))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
31/15120
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 2/945 x))
(*.f64 2/945 x)
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 2/945 x))
(*.f64 2/945 x)
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 2/945 x))

Outputs
(*.f64 7/360 (pow.f64 B 3))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(fma.f64 7/360 (pow.f64 B 3) (.f64 1/45 (.f64 (pow.f64 B 3) x)))
(.f64 (pow.f64 B 3) (+.f64 7/360 (.f64 1/45 x)))
(*.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(fma.f64 7/360 (pow.f64 B 3) (.f64 1/45 (.f64 (pow.f64 B 3) x)))
(.f64 (pow.f64 B 3) (+.f64 7/360 (.f64 1/45 x)))
(*.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(fma.f64 7/360 (pow.f64 B 3) (.f64 1/45 (.f64 (pow.f64 B 3) x)))
(.f64 (pow.f64 B 3) (+.f64 7/360 (.f64 1/45 x)))
(*.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360))
(.f64 1/45 (.f64 x (pow.f64 B 3)))
(.f64 1/45 (.f64 (pow.f64 B 3) x))
(.f64 (pow.f64 B 3) (.f64 1/45 x))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(fma.f64 7/360 (pow.f64 B 3) (.f64 1/45 (.f64 (pow.f64 B 3) x)))
(.f64 (pow.f64 B 3) (+.f64 7/360 (.f64 1/45 x)))
(*.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(fma.f64 7/360 (pow.f64 B 3) (.f64 1/45 (.f64 (pow.f64 B 3) x)))
(.f64 (pow.f64 B 3) (+.f64 7/360 (.f64 1/45 x)))
(*.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(fma.f64 7/360 (pow.f64 B 3) (.f64 1/45 (.f64 (pow.f64 B 3) x)))
(.f64 (pow.f64 B 3) (+.f64 7/360 (.f64 1/45 x)))
(*.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360))
(.f64 1/45 (.f64 x (pow.f64 B 3)))
(.f64 1/45 (.f64 (pow.f64 B 3) x))
(.f64 (pow.f64 B 3) (.f64 1/45 x))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(fma.f64 7/360 (pow.f64 B 3) (.f64 1/45 (.f64 (pow.f64 B 3) x)))
(.f64 (pow.f64 B 3) (+.f64 7/360 (.f64 1/45 x)))
(*.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(fma.f64 7/360 (pow.f64 B 3) (.f64 1/45 (.f64 (pow.f64 B 3) x)))
(.f64 (pow.f64 B 3) (+.f64 7/360 (.f64 1/45 x)))
(*.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (.f64 1/45 (*.f64 x (pow.f64 B 3))))
(fma.f64 7/360 (pow.f64 B 3) (.f64 1/45 (.f64 (pow.f64 B 3) x)))
(.f64 (pow.f64 B 3) (+.f64 7/360 (.f64 1/45 x)))
(*.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360))
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 1/45 x)
(*.f64 31/15120 (pow.f64 B 5))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(.f64 2/945 (.f64 x (pow.f64 B 5)))
(.f64 (.f64 x 2/945) (pow.f64 B 5))
(.f64 (pow.f64 B 5) (.f64 x 2/945))
(.f64 x (.f64 (pow.f64 B 5) 2/945))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(.f64 2/945 (.f64 x (pow.f64 B 5)))
(.f64 (.f64 x 2/945) (pow.f64 B 5))
(.f64 (pow.f64 B 5) (.f64 x 2/945))
(.f64 x (.f64 (pow.f64 B 5) 2/945))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(+.f64 (.f64 2/945 (.f64 x (pow.f64 B 5))) (*.f64 31/15120 (pow.f64 B 5)))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
(.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (.f64 -2/45 x)))) (pow.f64 B 5))
(fma.f64 2/945 (.f64 x (pow.f64 B 5)) (.f64 31/15120 (pow.f64 B 5)))
(*.f64 (pow.f64 B 5) (fma.f64 x 2/945 31/15120))
31/15120
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 x 2/945))
(fma.f64 x 2/945 31/15120)
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 x 2/945))
(fma.f64 x 2/945 31/15120)
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 x 2/945))
(fma.f64 x 2/945 31/15120)
(*.f64 2/945 x)
(*.f64 x 2/945)
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 x 2/945))
(fma.f64 x 2/945 31/15120)
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 x 2/945))
(fma.f64 x 2/945 31/15120)
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 x 2/945))
(fma.f64 x 2/945 31/15120)
(*.f64 2/945 x)
(*.f64 x 2/945)
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 x 2/945))
(fma.f64 x 2/945 31/15120)
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 x 2/945))
(fma.f64 x 2/945 31/15120)
(+.f64 31/15120 (*.f64 2/945 x))
(+.f64 31/15120 (*.f64 x 2/945))
(fma.f64 x 2/945 31/15120)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (sin.f64 B))
	0.2b	(/.f64 x (tan.f64 B))
✓	0.3b	(expm1.f64 (/.f64 1 (sin.f64 B)))
✓	0.4b	(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))

Compiler

Compiled 39 to 20 computations (48.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	B	@	0	(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))
0.0ms	B	@	inf	(expm1.f64 (/.f64 1 (sin.f64 B)))
0.0ms	B	@	-inf	(expm1.f64 (/.f64 1 (sin.f64 B)))
0.0ms	B	@	0	(expm1.f64 (/.f64 1 (sin.f64 B)))
0.0ms	B	@	inf	(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))

rewrite45.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`pow1_binary64`
481×	`add-sqr-sqrt_binary64`
461×	`expm1-log1p-u_binary64`
460×	`add-log-exp_binary64`
460×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	119	14
2	1299	14

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))
(expm1.f64 (/.f64 1 (sin.f64 B)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -1) (pow.f64 (sqrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 B))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 1 (sin.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) 2) (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (sqrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 3) 1) (+.f64 (*.f64 (exp.f64 (/.f64 1 (sin.f64 B))) (exp.f64 (/.f64 1 (sin.f64 B)))) (+.f64 1 (*.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (/.f64 1 (sin.f64 B))) (exp.f64 (/.f64 1 (sin.f64 B)))) 1) (+.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))))

simplify158.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1204×	`sqr-pow_binary64`
708×	`cube-prod_binary64`
680×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	193
1	59	193
2	119	193
3	274	193
4	476	193
5	974	193
6	1389	193
7	2025	193
8	2133	193
9	2295	193
10	2508	193
11	2838	193
12	3294	193
13	3893	193
14	4644	193
15	5578	193
16	6088	193
17	6576	193
18	6976	193
19	7300	193
20	7458	193

Stop Event

1×	node limit

Counts

66 → 50

Calls

Call 1

Inputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)

Outputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (/.f64 1 B))
(fma.f64 B (fma.f64 7/360 (*.f64 B B) 1/6) (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B))))
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B)))
(fma.f64 31/15120 (pow.f64 B 5) (fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (/.f64 1 B)))
(fma.f64 B (fma.f64 7/360 (*.f64 B B) 1/6) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B)))
(fma.f64 31/15120 (pow.f64 B 5) (fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))

eval638.0ms (5.7%)

Compiler: Compiled 22926 to 14273 computations (37.7% saved)

prune218.0ms (1.9%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	903	17	920
Fresh	7	11	18
Picked	1	0	1
Done	3	2	5
Total	914	30	944

Error

Counts

944 → 30

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.0b	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
✓	0.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	18.5b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
	34.9b	(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
	36.8b	(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
	18.4b	(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
	36.9b	(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
✓	34.8b	(/.f64 (-.f64 1 x) B)
▶	0.2b	(-.f64 (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1) (/.f64 x (tan.f64 B)))
▶	25.7b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	53.2b	(/.f64 (neg.f64 x) B)
	35.6b	(-.f64 (+.f64 (.f64 31/15120 (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
	32.7b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
	1.2b	(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)
	0.8b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))
	11.5b	(/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (.f64 (tan.f64 B) (sin.f64 B)))
	26.8b	(/.f64 1 (sin.f64 B))
	34.9b	(*.f64 (/.f64 1 B) (-.f64 1 x))
	32.2b	(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B)))
	36.9b	(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (pow.f64 (sin.f64 B) -2)) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))
	34.9b	(+.f64 (neg.f64 (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	33.0b	(-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2))
▶	44.3b	(/.f64 1 B)
	34.8b	(pow.f64 (/.f64 B (-.f64 1 x)) -1)
	25.0b	(-.f64 (sqrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 x (tan.f64 B)))
	45.3b	(-.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x B))
▶	35.0b	(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	0.2b	(fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))
	34.9b	(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
	34.8b	(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))

Compiler

Compiled 782 to 575 computations (26.5% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)
	0.1b	(/.f64 1 (sin.f64 B))
	0.2b	(/.f64 x (tan.f64 B))
✓	0.6b	(+.f64 1 (/.f64 1 (sin.f64 B)))

Compiler

Compiled 44 to 25 computations (43.2% saved)

series5.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(+.f64 1 (/.f64 1 (sin.f64 B)))
1.0ms	B	@	inf	(+.f64 1 (/.f64 1 (sin.f64 B)))
1.0ms	B	@	0	(-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)
0.0ms	B	@	-inf	(+.f64 1 (/.f64 1 (sin.f64 B)))
0.0ms	B	@	-inf	(-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)

rewrite99.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`pow1_binary64`
712×	`add-log-exp_binary64`
712×	`log1p-expm1-u_binary64`
712×	`expm1-log1p-u_binary64`
699×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	158	15
2	2232	15

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(+.f64 1 (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (sin.f64 B)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 1 (sin.f64 B)))) (/.f64 (pow.f64 (sin.f64 B) -2) (-.f64 1 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (sin.f64 B) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (sin.f64 B) -2) (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 B) -2) (/.f64 1 (sin.f64 B)))) (+.f64 1 (pow.f64 (sin.f64 B) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 1 (sin.f64 B))) (-.f64 1 (pow.f64 (sin.f64 B) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (sin.f64 B) -3)) (+.f64 1 (-.f64 (pow.f64 (sin.f64 B) -2) (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (sin.f64 B) -3)) (+.f64 (pow.f64 (sin.f64 B) -2) (-.f64 1 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (sin.f64 B) -2)) (-.f64 1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (sin.f64 B) -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 B) -2) (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (sin.f64 B) -2))) (neg.f64 (-.f64 1 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 B) -2) 1) (+.f64 (/.f64 1 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (sin.f64 B) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (sin.f64 B) -2) (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (sin.f64 B) -2)) 1) (-.f64 1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 1 (sin.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (cbrt.f64 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1 (sin.f64 B)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (sin.f64 B)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) (+.f64 (/.f64 1 (sin.f64 B)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (sin.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -1) (pow.f64 (sqrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) (+.f64 (/.f64 1 (sin.f64 B)) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (sin.f64 B)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) (+.f64 (/.f64 1 (sin.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) -1) (+.f64 (/.f64 1 (sin.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) -1) (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) (+.f64 (/.f64 1 (sin.f64 B)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (sin.f64 B)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 (sin.f64 B)) -1) (+.f64 (/.f64 1 (sin.f64 B)) -1)) (+.f64 (/.f64 1 (sin.f64 B)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 (sin.f64 B)) -1) (+.f64 (/.f64 1 (sin.f64 B)) -1))) (-.f64 1 (+.f64 (/.f64 1 (sin.f64 B)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1 (sin.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) -1)))))

simplify175.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

780×	`sqr-pow_binary64`
708×	`cube-prod_binary64`
679×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	137
1	64	137
2	143	137
3	359	137
4	590	137
5	1109	137
6	1562	137
7	2198	137
8	2306	137
9	2468	137
10	2681	137
11	3011	137
12	3467	137
13	4065	137
14	4816	137
15	5752	137
16	6260	137
17	6748	137
18	7150	137
19	7470	137
20	7630	137

Stop Event

1×	node limit

Counts

96 → 92

Calls

Call 1

Inputs
(/.f64 1 B)
(+.f64 1 (/.f64 1 B))
(+.f64 1 (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 1 (+.f64 (.f64 1/6 B) (/.f64 1 B))))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))

Outputs
(/.f64 1 B)
(+.f64 1 (/.f64 1 B))
(+.f64 1 (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 1 (fma.f64 1/6 B (/.f64 1 B)))
(+.f64 1 (fma.f64 B 1/6 (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 1 (+.f64 (.f64 1/6 B) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (+.f64 1 (fma.f64 1/6 B (/.f64 1 B))))
(+.f64 1 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B))))
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (+.f64 1 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (+.f64 1 (/.f64 1 B))))
(+.f64 1 (fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B))))
(+.f64 (/.f64 1 B) (fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) 1))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))

localize7.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
✓	0.2b	(.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))
✓	0.3b	(*.f64 -1/3 B)
	0.3b	(*.f64 1/6 B)

Compiler

Compiled 67 to 47 computations (29.9% saved)

series14.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))
1.0ms	x	@	inf	(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
1.0ms	B	@	inf	(.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))
1.0ms	x	@	inf	(.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))
1.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))

rewrite98.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`log-prod_binary64`
518×	`fma-neg_binary64`
268×	`expm1-udef_binary64`
268×	`log1p-udef_binary64`
209×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	324	36
2	4863	36

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

Inputs
(*.f64 -1/3 B)
(.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/3 B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) B)) (cbrt.f64 (pow.f64 (exp.f64 -1/3) B)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) B))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/27 (pow.f64 B 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 B B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) B))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/27 (pow.f64 B 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/3 B)) 1))))))

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1/6 (/.f64 1 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 B 1/6 (/.f64 1 B)))) (pow.f64 (exp.f64 x) (fma.f64 -1/3 B (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 B 1/6 (/.f64 1 B))) (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 B 1/6 (/.f64 1 B)))) (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/3 B (/.f64 1 B))) (pow.f64 (exp.f64 1/6) B)) (exp.f64 (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))) (*.f64 B 1/6))) (+.f64 1 (expm1.f64 (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 x) (fma.f64 -1/3 B (/.f64 1 B))) (pow.f64 (exp.f64 1/6) B)) (+.f64 1 (expm1.f64 (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))) (fma.f64 B 1/6 (/.f64 1 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))) (fma.f64 B 1/6 (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))) (fma.f64 B 1/6 (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))) (fma.f64 B 1/6 (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))) (fma.f64 B 1/6 (/.f64 1 B)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 (fma.f64 -1/3 B (/.f64 1 B))) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 B 1/6 (/.f64 1 B)) 1 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 B 1/6 (/.f64 1 B))) (pow.f64 (cbrt.f64 (fma.f64 B 1/6 (/.f64 1 B))) 2) (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 B 1/6 (/.f64 1 B))) 2) (cbrt.f64 (fma.f64 B 1/6 (/.f64 1 B))) (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B)))) 2) (cbrt.f64 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B)))) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 B 1/6 (/.f64 1 B))) (sqrt.f64 (fma.f64 B 1/6 (/.f64 1 B))) (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B)))) (sqrt.f64 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B)))) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))) (fma.f64 B 1/6 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (*.f64 1/216 (pow.f64 B 3)) (pow.f64 B -3)) (/.f64 1 (-.f64 (+.f64 (*.f64 1/36 (*.f64 B B)) (pow.f64 B -2)) (/.f64 (*.f64 B 1/6) B))) (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/36 (*.f64 B B)) (pow.f64 B -2)) (/.f64 1 (-.f64 (*.f64 B 1/6) (/.f64 1 B))) (*.f64 x (fma.f64 -1/3 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (fma.f64 -1/3 B (/.f64 1 B)) (fma.f64 B 1/6 (/.f64 1 B)))))))

simplify459.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1307×	`fma-def_binary64`
853×	`fma-neg_binary64`
670×	`div-sub_binary64`
524×	`associate-/l*_binary64`
319×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	706
1	80	684
2	161	576
3	395	572
4	864	572
5	1529	572
6	2755	572
7	3804	572
8	5104	572
9	5780	572
10	6246	572
11	6316	572
12	6901	572
13	6971	572
14	7188	572
15	7244	572
16	7471	572
17	7768	572
18	7810	572
19	7812	572
20	7814	572
21	7824	572
22	7824	572

Stop Event

1×

saturated

Counts

173 → 141

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(.f64 -1/3 (.f64 B x))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(.f64 -1/3 (.f64 B x))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 -1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 -1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 -1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(.f64 (-.f64 1/6 (.f64 -1/3 x)) B)
(-.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 -1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 -1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 -1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(.f64 (+.f64 1/6 (.f64 1/3 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))

Outputs
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(.f64 -1/3 (.f64 B x))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(.f64 -1/3 (.f64 B x))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x)
(fma.f64 -1/3 (*.f64 B x) (/.f64 x B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(neg.f64 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) (neg.f64 x))
(*.f64 x (fma.f64 B 1/3 (/.f64 -1 B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(neg.f64 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(*.f64 (fma.f64 -1/3 B (/.f64 1 B)) (neg.f64 x))
(*.f64 x (fma.f64 B 1/3 (/.f64 -1 B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 -1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 -1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 -1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(.f64 (-.f64 1/6 (.f64 -1/3 x)) B)
(.f64 B (+.f64 1/6 (.f64 x 1/3)))
(*.f64 B (fma.f64 x 1/3 1/6))
(-.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 -1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 -1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 (-.f64 1/6 (.f64 -1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(.f64 (+.f64 1/6 (.f64 1/3 x)) B)
(.f64 B (+.f64 1/6 (.f64 x 1/3)))
(*.f64 B (fma.f64 x 1/3 1/6))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(fma.f64 -1 (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x) (fma.f64 1/6 B (/.f64 1 B)))
(-.f64 (fma.f64 B 1/6 (/.f64 1 B)) (*.f64 (fma.f64 -1/3 B (/.f64 1 B)) x))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 1/6 B) (/.f64 1 B))
	0.1b	(/.f64 (tan.f64 B) x)
	0.3b	(/.f64 1 (/.f64 (tan.f64 B) x))
	0.3b	(*.f64 1/6 B)

Compiler

Compiled 53 to 29 computations (45.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
	0.2b	(/.f64 x (tan.f64 B))
✓	0.4b	(pow.f64 (sin.f64 B) -3)
✓	16.1b	(cbrt.f64 (pow.f64 (sin.f64 B) -3))

Compiler

Compiled 32 to 15 computations (53.1% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	B	@	inf	(pow.f64 (sin.f64 B) -3)
1.0ms	B	@	-inf	(pow.f64 (sin.f64 B) -3)
1.0ms	B	@	0	(pow.f64 (sin.f64 B) -3)
0.0ms	B	@	0	(cbrt.f64 (pow.f64 (sin.f64 B) -3))
0.0ms	B	@	0	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))

rewrite119.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`prod-diff_binary64`
516×	`log-prod_binary64`
292×	`pow2_binary64`
228×	`fma-def_binary64`
200×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	221	26
2	2964	26

Stop Event

1×	node limit

Counts

3 → 226

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (sin.f64 B) -3))
(pow.f64 (sin.f64 B) -3)
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (cbrt.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 B)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 B)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1 (log.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 (sin.f64 B))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (sin.f64 B))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 B) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 B) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (sin.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -2) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -3/2) (pow.f64 (sin.f64 B) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -6) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 B) -2) 1) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 B) -2) (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (cbrt.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 B) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 B) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 B) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 B) -9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 B) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 B) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -3 (log.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (sin.f64 B))) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 -1 (/.f64 x (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 x) (/.f64 1 (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sin.f64 B)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B)))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) 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(tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) 2) (cbrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (sqrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))))

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

612×	`cancel-sign-sub-inv_binary64`
464×	`fma-neg_binary64`
314×	`+-commutative_binary64`
311×	`associate--r-_binary64`
308×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	701
1	189	684
2	518	676
3	2008	672
4	4564	672

Stop Event

1×	node limit

Counts

274 → 253

Calls

Call 1

Inputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (pow.f64 B 3))
(+.f64 (/.f64 1 (pow.f64 B 3)) (*.f64 1/2 (/.f64 1 B)))
(+.f64 (.f64 17/120 B) (+.f64 (.f64 1/2 (/.f64 1 B)) (/.f64 1 (pow.f64 B 3))))
(+.f64 (.f64 457/15120 (pow.f64 B 3)) (+.f64 (.f64 17/120 B) (+.f64 (*.f64 1/2 (/.f64 1 B)) (/.f64 1 (pow.f64 B 3)))))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))

Outputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (pow.f64 B 3))
(+.f64 (/.f64 1 (pow.f64 B 3)) (*.f64 1/2 (/.f64 1 B)))
(+.f64 (/.f64 1 (pow.f64 B 3)) (/.f64 1/2 B))
(+.f64 (.f64 17/120 B) (+.f64 (.f64 1/2 (/.f64 1 B)) (/.f64 1 (pow.f64 B 3))))
(fma.f64 17/120 B (+.f64 (/.f64 1 (pow.f64 B 3)) (/.f64 1/2 B)))
(+.f64 (/.f64 1 (pow.f64 B 3)) (fma.f64 B 17/120 (/.f64 1/2 B)))
(+.f64 (/.f64 1/2 B) (fma.f64 B 17/120 (/.f64 1 (pow.f64 B 3))))
(+.f64 (.f64 457/15120 (pow.f64 B 3)) (+.f64 (.f64 17/120 B) (+.f64 (*.f64 1/2 (/.f64 1 B)) (/.f64 1 (pow.f64 B 3)))))
(fma.f64 457/15120 (pow.f64 B 3) (fma.f64 17/120 B (+.f64 (/.f64 1 (pow.f64 B 3)) (/.f64 1/2 B))))
(fma.f64 (pow.f64 B 3) 457/15120 (+.f64 (/.f64 1 (pow.f64 B 3)) (fma.f64 B 17/120 (/.f64 1/2 B))))
(+.f64 (/.f64 1 (pow.f64 B 3)) (fma.f64 (pow.f64 B 3) 457/15120 (fma.f64 B 17/120 (/.f64 1/2 B))))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 1 (pow.f64 (sin.f64 B) 3))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 B (+.f64 1/6 (.f64 x 1/3))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/6 (.f64 x 1/3)) B (fma.f64 (+.f64 7/360 (.f64 x 1/45)) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(fma.f64 B (fma.f64 x 1/3 1/6) (+.f64 (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360)) (/.f64 (-.f64 1 x) B)))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (fma.f64 17/315 x (+.f64 31/15120 (fma.f64 -2/45 x (.f64 (.f64 x 1/45) -1/3)))) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (.f64 x 1/3)) B (fma.f64 (+.f64 7/360 (.f64 x 1/45)) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (fma.f64 x -2/45 (.f64 x -1/135)) (fma.f64 x 17/315 31/15120)) (fma.f64 B (fma.f64 x 1/3 1/6) (+.f64 (.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360)) (/.f64 (-.f64 1 x) B))))
(fma.f64 (pow.f64 B 5) (+.f64 31/15120 (fma.f64 x 17/315 (*.f64 x -7/135))) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(fma.f64 (pow.f64 B 5) (+.f64 31/15120 (*.f64 x 2/945)) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

eval550.0ms (4.9%)

Compiler: Compiled 17673 to 9751 computations (44.8% saved)

prune185.0ms (1.6%)

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	791	18	809
Fresh	8	15	23
Picked	1	0	1
Done	3	3	6
Total	803	36	839

Error

Counts

839 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	62.3b	(.f64 (-.f64 1/6 (.f64 -1/3 x)) B)
▶	0.2b	(fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))
	18.5b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
	36.8b	(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
	36.9b	(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
	53.2b	(.f64 -1 (.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
✓	34.8b	(/.f64 (-.f64 1 x) B)
	19.5b	(-.f64 (-.f64 (expm1.f64 (log.f64 (+.f64 (/.f64 1 (sin.f64 B)) 2))) 1) (/.f64 x (tan.f64 B)))
▶	18.5b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
▶	53.2b	(/.f64 (neg.f64 x) B)
	17.4b	(-.f64 (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1) (/.f64 x B))
	35.6b	(-.f64 (+.f64 (.f64 31/15120 (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
	44.8b	(+.f64 (neg.f64 (-.f64 (-.f64 0 (.f64 -1/3 (.f64 B x))) (/.f64 x B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	11.5b	(/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (.f64 (tan.f64 B) (sin.f64 B)))
▶	34.9b	(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	26.8b	(/.f64 1 (sin.f64 B))
	44.8b	(+.f64 (neg.f64 (+.f64 (.f64 (/.f64 1 B) (neg.f64 x)) (.f64 (.f64 -1/3 B) (neg.f64 x)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
	34.8b	(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	34.9b	(*.f64 (/.f64 1 B) (-.f64 1 x))
	32.2b	(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B)))
	44.2b	(+.f64 (*.f64 1/6 B) (/.f64 1 B))
	18.4b	(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
	44.5b	(+.f64 (neg.f64 (.f64 -1/3 (.f64 B x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	33.0b	(-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2))
✓	44.3b	(/.f64 1 B)
▶	0.8b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))
	34.8b	(pow.f64 (/.f64 B (-.f64 1 x)) -1)
	45.3b	(-.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x B))
	32.2b	(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
	17.3b	(-.f64 (-.f64 (/.f64 1 B) 1) (/.f64 x (tan.f64 B)))
	1.2b	(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)
✓	0.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	32.7b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
	34.9b	(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
	34.2b	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
	26.0b	(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) -3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))

Compiler

Compiled 917 to 687 computations (25.1% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))
	0.1b	(/.f64 1 (sin.f64 B))
✓	0.2b	(/.f64 -1 (tan.f64 B))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	B	@	inf	(/.f64 -1 (tan.f64 B))
1.0ms	B	@	-inf	(/.f64 -1 (tan.f64 B))
1.0ms	B	@	-inf	(fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))
1.0ms	B	@	inf	(fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))
1.0ms	x	@	0	(fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

913×	`pow1_binary64`
836×	`add-log-exp_binary64`
835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
817×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	198	21
2	2296	21

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(/.f64 -1 (tan.f64 B))
(fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (tan.f64 B))) (pow.f64 (/.f64 -1 (cbrt.f64 (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (tan.f64 B))) 2) (/.f64 -1 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (tan.f64 B))) (sqrt.f64 (/.f64 -1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (tan.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 B) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (tan.f64 B))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (neg.f64 (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (neg.f64 (tan.f64 B))) 1) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))) 2) (cbrt.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))) (sqrt.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (neg.f64 (tan.f64 B))) 3) (pow.f64 (/.f64 1 (sin.f64 B)) 3)) (+.f64 (*.f64 (/.f64 x (neg.f64 (tan.f64 B))) (/.f64 x (neg.f64 (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -2) (*.f64 (/.f64 x (neg.f64 (tan.f64 B))) (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 x (neg.f64 (tan.f64 B))) (/.f64 x (neg.f64 (tan.f64 B)))) (pow.f64 (sin.f64 B) -2)) (-.f64 (/.f64 x (neg.f64 (tan.f64 B))) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))))))))

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

844×	`cancel-sign-sub-inv_binary64`
719×	`associate-+r+_binary64`
630×	`associate-l_binary64`
481×	`associate-r_binary64`
460×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	635
1	138	580
2	351	569
3	1405	569
4	3703	569

Stop Event

1×	node limit

Counts

79 → 65

Calls

Call 1

Inputs
(/.f64 -1 B)
(-.f64 (*.f64 1/3 B) (/.f64 1 B))
(-.f64 (+.f64 (.f64 1/3 B) (.f64 1/45 (pow.f64 B 3))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 1/3 B) (+.f64 (.f64 2/945 (pow.f64 B 5)) (*.f64 1/45 (pow.f64 B 3)))) (/.f64 1 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (+.f64 1 (*.f64 -1 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 7/360 (.f64 1/45 x)) (pow.f64 B 3)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 31/15120 (.f64 2/945 x)) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 7/360 (.f64 1/45 x)) (pow.f64 B 3)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))

Outputs
(/.f64 -1 B)
(-.f64 (*.f64 1/3 B) (/.f64 1 B))
(-.f64 (*.f64 B 1/3) (/.f64 1 B))
(fma.f64 B 1/3 (/.f64 -1 B))
(-.f64 (+.f64 (.f64 1/3 B) (.f64 1/45 (pow.f64 B 3))) (/.f64 1 B))
(-.f64 (fma.f64 1/3 B (*.f64 1/45 (pow.f64 B 3))) (/.f64 1 B))
(fma.f64 B 1/3 (fma.f64 1/45 (pow.f64 B 3) (/.f64 -1 B)))
(-.f64 (+.f64 (.f64 1/3 B) (+.f64 (.f64 2/945 (pow.f64 B 5)) (*.f64 1/45 (pow.f64 B 3)))) (/.f64 1 B))
(-.f64 (fma.f64 1/3 B (fma.f64 2/945 (pow.f64 B 5) (*.f64 1/45 (pow.f64 B 3)))) (/.f64 1 B))
(+.f64 (fma.f64 1/45 (pow.f64 B 3) (*.f64 2/945 (pow.f64 B 5))) (fma.f64 B 1/3 (/.f64 -1 B)))
(fma.f64 B 1/3 (fma.f64 1/45 (pow.f64 B 3) (fma.f64 2/945 (pow.f64 B 5) (/.f64 -1 B))))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(*.f64 -1 (/.f64 (cos.f64 B) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B))
(/.f64 (+.f64 1 (*.f64 -1 x)) B)
(/.f64 (+.f64 1 (neg.f64 x)) B)
(/.f64 (-.f64 1 x) B)
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 (+.f64 1/6 (*.f64 1/3 x)) B (/.f64 1 B)))
(-.f64 (fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 1 B)) (/.f64 x B))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 7/360 (.f64 1/45 x)) (pow.f64 B 3)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B))))
(fma.f64 -1 (/.f64 x B) (fma.f64 (+.f64 7/360 (.f64 1/45 x)) (pow.f64 B 3) (fma.f64 (+.f64 1/6 (.f64 1/3 x)) B (/.f64 1 B))))
(-.f64 (fma.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360) (fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 1 B))) (/.f64 x B))
(fma.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360) (fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360) (/.f64 (-.f64 1 x) B)))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 31/15120 (.f64 2/945 x)) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 7/360 (.f64 1/45 x)) (pow.f64 B 3)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))))
(fma.f64 -1 (/.f64 x B) (fma.f64 (+.f64 31/15120 (.f64 2/945 x)) (pow.f64 B 5) (fma.f64 (+.f64 7/360 (.f64 1/45 x)) (pow.f64 B 3) (fma.f64 (+.f64 1/6 (*.f64 1/3 x)) B (/.f64 1 B)))))
(-.f64 (fma.f64 (pow.f64 B 5) (fma.f64 2/945 x 31/15120) (fma.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360) (fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (fma.f64 2/945 x 31/15120) (fma.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360) (fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))))
(fma.f64 (pow.f64 B 3) (fma.f64 1/45 x 7/360) (fma.f64 (pow.f64 B 5) (fma.f64 2/945 x 31/15120) (fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

localize4.0ms (0%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 1/6 B) (/.f64 1 B))
	0.3b	(*.f64 1/6 B)
✓	0.5b	(/.f64 1 (/.f64 B x))

Compiler

Compiled 47 to 28 computations (40.4% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(/.f64 1 (/.f64 B x))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 B x))
0.0ms	B	@	-inf	(/.f64 1 (/.f64 B x))
0.0ms	x	@	0	(/.f64 1 (/.f64 B x))
0.0ms	B	@	inf	(/.f64 1 (/.f64 B x))

rewrite48.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
571×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
557×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	4
2	1611	4

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 1 (/.f64 B x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x B)) (pow.f64 (cbrt.f64 (/.f64 x B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x B)) 2) (cbrt.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x B)) (sqrt.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 B) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 B) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 B x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 B x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 B x)) -1) (pow.f64 (sqrt.f64 (/.f64 B x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 B) 2)) (/.f64 x (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 B) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 B)) (/.f64 x (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 B)) (/.f64 (cbrt.f64 x) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 B)) (/.f64 (sqrt.f64 x) (sqrt.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 B)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 B) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 B) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 B) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 B x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 B x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x B)))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	96

Stop Event

1×

saturated

Counts

59 → 36

Calls

Call 1

Inputs
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)

Outputs
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)
(/.f64 x B)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
	0.1b	(/.f64 (tan.f64 B) x)
	0.3b	(/.f64 1 (/.f64 (tan.f64 B) x))

Compiler

Compiled 38 to 18 computations (52.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	B	@	inf	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
1.0ms	B	@	0	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
0.0ms	x	@	-inf	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
0.0ms	B	@	-inf	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
0.0ms	x	@	0	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))

rewrite110.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`log-prod_binary64`
357×	`fma-def_binary64`
312×	`pow-prod-down_binary64`
264×	`pow2_binary64`
243×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	224	12
2	3275	12

Stop Event

1×	node limit

Counts

1 → 243

Calls

Call 1

Inputs
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (neg.f64 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (*.f64 -1 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (*.f64 (neg.f64 (cbrt.f64 (pow.f64 B -2))) (/.f64 1 (cbrt.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (*.f64 (neg.f64 (pow.f64 B -1/2)) (pow.f64 B -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 (tan.f64 B))) (neg.f64 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 (tan.f64 B))) (neg.f64 x) (neg.f64 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 (tan.f64 B))) (neg.f64 x) (*.f64 -1 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 (tan.f64 B))) (neg.f64 x) 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(tan.f64 B) x) -2))) (cbrt.f64 (/.f64 x (tan.f64 B))) (*.f64 (neg.f64 (pow.f64 B -1/2)) (pow.f64 B -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (neg.f64 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (*.f64 -1 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 B -2))) (/.f64 1 (cbrt.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (*.f64 (neg.f64 (pow.f64 B -1/2)) (pow.f64 B -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (/.f64 1 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(cbrt.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) 1) x (*.f64 (neg.f64 (pow.f64 B -1/2)) (pow.f64 B -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (neg.f64 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 -1 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 B -2))) (/.f64 1 (cbrt.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 B -1/2)) (pow.f64 B -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -1 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 B -2))) (/.f64 1 (cbrt.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 B -1/2)) (pow.f64 B -1/2)))))))

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

721×	`associate-+l+_binary64`
719×	`associate--l+_binary64`
514×	`associate-+r+_binary64`
407×	`fma-neg_binary64`
362×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	424
1	126	402
2	344	396
3	1345	392
4	4752	392

Stop Event

1×	node limit

Counts

267 → 256

Calls

Call 1

Inputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (+.f64 (.f64 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (+.f64 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 1 B)
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))

Outputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 1/3 (.f64 x B)) (/.f64 (-.f64 1 x) B))
(fma.f64 (*.f64 B 1/3) x (/.f64 (-.f64 1 x) B))
(fma.f64 x (*.f64 B 1/3) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (+.f64 (.f64 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 1/3 (.f64 x B) (fma.f64 (.f64 x 1/45) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 1/3 (.f64 x B) (.f64 x (*.f64 1/45 (pow.f64 B 3)))) (/.f64 (-.f64 1 x) B))
(fma.f64 x (.f64 B 1/3) (fma.f64 x (.f64 (pow.f64 B 3) 1/45) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (+.f64 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 1/3 (.f64 x B) (fma.f64 (.f64 x 1/45) (pow.f64 B 3) (fma.f64 (fma.f64 17/315 x (fma.f64 -1/3 (.f64 x 1/45) (.f64 x -2/45))) (pow.f64 B 5) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 1/3 (.f64 x B) (+.f64 (fma.f64 (.f64 x 1/45) (pow.f64 B 3) (.f64 (fma.f64 x 17/315 (fma.f64 x -2/45 (.f64 x -1/135))) (pow.f64 B 5))) (/.f64 (-.f64 1 x) B)))
(+.f64 (fma.f64 x (.f64 B 1/3) (fma.f64 x (.f64 (pow.f64 B 3) 1/45) (/.f64 (-.f64 1 x) B))) (.f64 (fma.f64 x 17/315 (.f64 x -7/135)) (pow.f64 B 5)))
(+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 x (.f64 B 1/3) (fma.f64 (.f64 x 2/945) (pow.f64 B 5) (.f64 x (.f64 (pow.f64 B 3) 1/45)))))
(+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 x (.f64 B 1/3) (fma.f64 x (.f64 (pow.f64 B 3) 1/45) (.f64 (.f64 x 2/945) (pow.f64 B 5)))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(/.f64 1 B)
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))
	0.2b	(/.f64 x (tan.f64 B))
✓	0.6b	(cbrt.f64 (sin.f64 B))
✓	0.6b	(pow.f64 (cbrt.f64 (sin.f64 B)) -3)

Compiler

Compiled 31 to 12 computations (61.3% saved)

series105.0ms (0.9%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
87.0ms	B	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 B)) -3)
5.0ms	B	@	inf	(pow.f64 (cbrt.f64 (sin.f64 B)) -3)
4.0ms	B	@	0	(pow.f64 (cbrt.f64 (sin.f64 B)) -3)
3.0ms	x	@	0	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))
1.0ms	B	@	0	(cbrt.f64 (sin.f64 B))

rewrite169.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`prod-diff_binary64`
516×	`log-prod_binary64`
310×	`pow-prod-down_binary64`
292×	`pow2_binary64`
222×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	221	25
2	2979	25

Stop Event

1×	node limit

Counts

3 → 217

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (sin.f64 B)) -3)
(cbrt.f64 (sin.f64 B))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -1) (cbrt.f64 (pow.f64 (sin.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (pow.f64 (cbrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 B))) -6) (pow.f64 (cbrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1 (log.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (sin.f64 B))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 B))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 B))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) 1/6) (pow.f64 (sin.f64 B) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 B) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 B)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 B)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 B))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 -1 (/.f64 x (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 x) (/.f64 1 (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sin.f64 B)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B)))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (sin.f64 B)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B)))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -1) (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B)))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (pow.f64 (cbrt.f64 (sin.f64 B)) -1) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) 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(tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 B))) -6) (pow.f64 (cbrt.f64 (sin.f64 B)) -1) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 B))) -6) (pow.f64 (cbrt.f64 (sin.f64 B)) -1) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))))

simplify214.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1021×	`sqr-pow_binary64`
588×	`fma-def_binary64`
500×	`pow-sqr_binary64`
471×	`cube-prod_binary64`
420×	`fabs-mul_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	19	443
1	52	443
2	80	443
3	130	443
4	222	443
5	409	409
6	938	375
7	1924	358
8	2521	358
9	3120	358
10	3485	358
11	3756	358
12	4083	358
13	4509	358
14	5016	358
15	5620	358
16	6343	358
17	6668	358
18	6952	358
19	7176	358
20	7354	358
21	7436	358

Stop Event

1×	node limit

Counts

253 → 226

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B)))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B)))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B)))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B)))
(*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3))
(*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3))
(*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3))
(*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3))
(pow.f64 (sin.f64 B) 1/3)
(pow.f64 (sin.f64 B) 1/3)
(pow.f64 (sin.f64 B) 1/3)
(pow.f64 (sin.f64 B) 1/3)
(pow.f64 (sin.f64 B) 1/3)
(pow.f64 (sin.f64 B) 1/3)
(pow.f64 (sin.f64 B) 1/3)
(pow.f64 (sin.f64 B) 1/3)
(-.f64 (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3)) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3)) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3)) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3)) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B)))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))

Outputs
(*.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3))
(/.f64 1 (sin.f64 B))
(*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3))
(/.f64 1 (sin.f64 B))
(*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3))
(/.f64 1 (sin.f64 B))
(*.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3))
(/.f64 1 (sin.f64 B))
(pow.f64 (sin.f64 B) 1/3)
(cbrt.f64 (sin.f64 B))
(pow.f64 (sin.f64 B) 1/3)
(cbrt.f64 (sin.f64 B))
(pow.f64 (sin.f64 B) 1/3)
(cbrt.f64 (sin.f64 B))
(pow.f64 (sin.f64 B) 1/3)
(cbrt.f64 (sin.f64 B))
(pow.f64 (sin.f64 B) 1/3)
(cbrt.f64 (sin.f64 B))
(pow.f64 (sin.f64 B) 1/3)
(cbrt.f64 (sin.f64 B))
(pow.f64 (sin.f64 B) 1/3)
(cbrt.f64 (sin.f64 B))
(pow.f64 (sin.f64 B) 1/3)
(cbrt.f64 (sin.f64 B))
(-.f64 (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3)) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(-.f64 (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3)) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(-.f64 (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3)) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(-.f64 (.f64 (/.f64 1 (sin.f64 B)) (pow.f64 1 1/3)) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(-.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(-.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(-.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(-.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 1 (sin.f64 B))) (.f64 -1 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 (/.f64 -1 (sin.f64 B)) (-.f64 (.f64 (cos.f64 B) x) 1))
(*.f64 (/.f64 -1 (sin.f64 B)) (fma.f64 (cos.f64 B) x -1))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))

eval552.0ms (4.9%)

Compiler: Compiled 16309 to 7878 computations (51.7% saved)

prune202.0ms (1.8%)

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	834	14	848
Fresh	11	17	28
Picked	1	0	1
Done	2	5	7
Total	848	36	884

Error

Counts

884 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	53.1b	(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (*.f64 B 1/6))
✓	0.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	62.3b	(.f64 (-.f64 1/6 (.f64 -1/3 x)) B)
	18.9b	(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) -3)) (/.f64 1 B))
	18.5b	(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
	40.7b	(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (/.f64 1 B))
	34.9b	(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
	53.2b	(.f64 -1 (.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
✓	34.8b	(/.f64 (-.f64 1 x) B)
	34.8b	(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
	19.5b	(-.f64 (-.f64 (expm1.f64 (log.f64 (+.f64 (/.f64 1 (sin.f64 B)) 2))) 1) (/.f64 x (tan.f64 B)))
✓	18.5b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
✓	53.2b	(/.f64 (neg.f64 x) B)
	17.4b	(-.f64 (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1) (/.f64 x B))
	35.6b	(-.f64 (+.f64 (.f64 31/15120 (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
	26.8b	(/.f64 1 (sin.f64 B))
	44.8b	(+.f64 (neg.f64 (-.f64 (-.f64 0 (.f64 -1/3 (.f64 B x))) (/.f64 x B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
	11.5b	(/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (.f64 (tan.f64 B) (sin.f64 B)))
	34.8b	(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
	32.7b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
	34.9b	(*.f64 (/.f64 1 B) (-.f64 1 x))
	36.9b	(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
	32.2b	(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B)))
	44.2b	(+.f64 (*.f64 1/6 B) (/.f64 1 B))
	34.2b	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
	1.2b	(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)
	18.4b	(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
	43.1b	(+.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -3))) (/.f64 1 B))
	0.2b	(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
	45.3b	(-.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x B))
	32.2b	(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
	17.3b	(-.f64 (-.f64 (/.f64 1 B) 1) (/.f64 x (tan.f64 B)))
	36.8b	(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
	44.8b	(+.f64 (neg.f64 (+.f64 (.f64 (/.f64 1 B) (neg.f64 x)) (.f64 (.f64 -1/3 B) (neg.f64 x)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
✓	44.3b	(/.f64 1 B)
	18.0b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x B))

Compiler

Compiled 462 to 345 computations (25.3% saved)

regimes230.0ms (2%)

Counts

74 → 1

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(.f64 (-.f64 1/6 (.f64 -1/3 x)) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (*.f64 B 1/6))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 -1/3 (.f64 B x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (-.f64 (-.f64 0 (.f64 -1/3 (.f64 B x))) (/.f64 x B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (+.f64 (.f64 (/.f64 1 B) (neg.f64 x)) (.f64 (.f64 -1/3 B) (neg.f64 x)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(-.f64 (-.f64 (/.f64 1 B) 1) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1) (/.f64 x B))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 1 (tan.f64 B)) x))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1) (/.f64 x (tan.f64 B)))
(-.f64 (+.f64 (.f64 31/15120 (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) 1) (sin.f64 B))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x B))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x B))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x B))
(fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) -3)) (/.f64 1 B))
(+.f64 (neg.f64 (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)) (/.f64 1 B))
(+.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -3))) (/.f64 1 B))
(+.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) -3)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 x (tan.f64 B)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B)))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)
(-.f64 (/.f64 1 (sin.f64 B)) (pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2))
(/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (.f64 (tan.f64 B) (sin.f64 B)))
(-.f64 (-.f64 (expm1.f64 (log.f64 (+.f64 (/.f64 1 (sin.f64 B)) 2))) 1) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (pow.f64 (sin.f64 B) -2)) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))

Outputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Calls

3 calls:

80.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
77.0ms	x
49.0ms	B

Results

Error	Segments	Branch
0.2b	1	`B`
0.2b	1	`x`
0.2b	1	`(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))`

Compiler

Compiled 890 to 492 computations (44.7% saved)

regimes399.0ms (3.5%)

Counts

40 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(.f64 (-.f64 1/6 (.f64 -1/3 x)) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (*.f64 B 1/6))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 -1/3 (.f64 B x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (-.f64 (-.f64 0 (.f64 -1/3 (.f64 B x))) (/.f64 x B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (+.f64 (.f64 (/.f64 1 B) (neg.f64 x)) (.f64 (.f64 -1/3 B) (neg.f64 x)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(-.f64 (-.f64 (/.f64 1 B) 1) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 B)) x)) (/.f64 1 B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1) (/.f64 x B))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 1 (tan.f64 B)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))

Outputs
(-.f64 (-.f64 (/.f64 1 B) 1) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))

Calls

2 calls:

265.0ms	B
121.0ms	x

Results

Error	Segments	Branch
14.2b	2	`B`
1.1b	3	`x`

Compiler

Compiled 416 to 241 computations (42.1% saved)

bsearch303.0ms (2.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
156.0ms	0.010268111991496093	500586.9456079908
146.0ms	-658.0457275497183	-460.7000380964613

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes159.0ms (1.4%)

Counts

27 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(.f64 (-.f64 1/6 (.f64 -1/3 x)) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (*.f64 B 1/6))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 -1/3 (.f64 B x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (-.f64 (-.f64 0 (.f64 -1/3 (.f64 B x))) (/.f64 x B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (+.f64 (.f64 (/.f64 1 B) (neg.f64 x)) (.f64 (.f64 -1/3 B) (neg.f64 x)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))

Outputs
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))

Calls

2 calls:

73.0ms	x
71.0ms	B

Results

Error	Segments	Branch
14.9b	2	`B`
1.1b	3	`x`

Compiler

Compiled 278 to 173 computations (37.8% saved)

bsearch177.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	0.010268111991496093	500586.9456079908
103.0ms	-658.0457275497183	-460.7000380964613

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes94.0ms (0.8%)

Counts

26 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(.f64 (-.f64 1/6 (.f64 -1/3 x)) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (*.f64 B 1/6))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 -1/3 (.f64 B x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (-.f64 (-.f64 0 (.f64 -1/3 (.f64 B x))) (/.f64 x B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (+.f64 (.f64 (/.f64 1 B) (neg.f64 x)) (.f64 (.f64 -1/3 B) (neg.f64 x)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))

Outputs
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(/.f64 1 (sin.f64 B))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))

Calls

2 calls:

49.0ms	x
37.0ms	B

Results

Error	Segments	Branch
14.9b	2	`B`
1.2b	3	`x`

Compiler

Compiled 270 to 170 computations (37% saved)

bsearch116.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	0.010268111991496093	500586.9456079908
58.0ms	-325.45109552418563	-0.01466208296177755

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes88.0ms (0.8%)

Counts

23 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(.f64 (-.f64 1/6 (.f64 -1/3 x)) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (*.f64 B 1/6))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 -1/3 (.f64 B x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (-.f64 (-.f64 0 (.f64 -1/3 (.f64 B x))) (/.f64 x B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (+.f64 (.f64 (/.f64 1 B) (neg.f64 x)) (.f64 (.f64 -1/3 B) (neg.f64 x)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(pow.f64 (/.f64 B (-.f64 1 x)) -1)

Outputs
(/.f64 1 (sin.f64 B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (sin.f64 B))

Calls

2 calls:

47.0ms	x
34.0ms	B

Results

Error	Segments	Branch
17.3b	3	`B`
17.4b	3	`x`

Compiler

Compiled 246 to 159 computations (35.4% saved)

bsearch72.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	2.1778700465831205e-26	0.019609807415236335
37.0ms	-8.446585416727984e+22	-41352034892909080.0

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes29.0ms (0.3%)

Counts

19 → 1

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(.f64 (-.f64 1/6 (.f64 -1/3 x)) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) B)) 1)
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (*.f64 B 1/6))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (/.f64 1 B))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(+.f64 (neg.f64 (/.f64 x B)) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 1 (/.f64 B x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 -1/3 (.f64 B x))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (-.f64 (-.f64 0 (.f64 -1/3 (.f64 B x))) (/.f64 x B))) (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (neg.f64 (+.f64 (.f64 (/.f64 1 B) (neg.f64 x)) (.f64 (.f64 -1/3 B) (neg.f64 x)))) (+.f64 (.f64 1/6 B) (/.f64 1 B)))

Outputs
(/.f64 (-.f64 1 x) B)

Calls

2 calls:

12.0ms	x
10.0ms	B

Results

Error	Segments	Branch
34.8b	1	`B`
34.8b	1	`x`

Compiler

Compiled 227 to 147 computations (35.2% saved)

regimes20.0ms (0.2%)

Accuracy

Total -26.9b remaining (-75.8%)

Threshold costs -26.9b (-75.8%)

Counts

2 → 3

Calls

Call 1

Inputs
(/.f64 1 B)
(/.f64 (neg.f64 x) B)

Outputs
(/.f64 (neg.f64 x) B)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)

Calls

2 calls:

10.0ms	B
9.0ms	x

Results

Error	Segments	Branch
42.8b	2	`B`
35.4b	3	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch135.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
77.0ms	1.637442849141902e-9	0.00044709571493580576
57.0ms	-325.45109552418563	-0.01466208296177755

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
10×	`sub-neg_binary64`
5×	`*-commutative_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	237
1	66	237
2	80	237
3	85	237
4	87	237

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(if (<=.f64 x -723528929049233/1099511627776) (-.f64 (-.f64 (/.f64 1 B) 1) (/.f64 x (tan.f64 B))) (if (<=.f64 x 2959581781676821/288230376151711744) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))
(if (<=.f64 x -723528929049233/1099511627776) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x 2959581781676821/288230376151711744) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))
(if (<=.f64 x -5725396220820477/17592186044416) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x 2959581781676821/288230376151711744) (/.f64 1 (sin.f64 B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))
(if (<=.f64 B -84465854167279843934208) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 118574523887603/5444517870735015415413993718908291383296) (-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B)) (/.f64 1 (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(if (<=.f64 x -5725396220820477/17592186044416) (/.f64 (neg.f64 x) B) (if (<=.f64 x 3959093876941975/2417851639229258349412352) (/.f64 1 B) (/.f64 (neg.f64 x) B)))
(/.f64 1 B)

Outputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(if (<=.f64 x -723528929049233/1099511627776) (-.f64 (-.f64 (/.f64 1 B) 1) (/.f64 x (tan.f64 B))) (if (<=.f64 x 2959581781676821/288230376151711744) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))
(if (<=.f64 x -723528929049233/1099511627776) (-.f64 (+.f64 (/.f64 1 B) -1) (/.f64 x (tan.f64 B))) (if (<=.f64 x 2959581781676821/288230376151711744) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))
(if (<=.f64 x -723528929049233/1099511627776) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x 2959581781676821/288230376151711744) (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))
(if (<=.f64 x -5725396220820477/17592186044416) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B))) (if (<=.f64 x 2959581781676821/288230376151711744) (/.f64 1 (sin.f64 B)) (-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))
(if (<=.f64 B -84465854167279843934208) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 118574523887603/5444517870735015415413993718908291383296) (-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B)) (/.f64 1 (sin.f64 B))))
(if (<=.f64 B -84465854167279843934208) (/.f64 1 (sin.f64 B)) (if (<=.f64 B 118574523887603/5444517870735015415413993718908291383296) (-.f64 (+.f64 (/.f64 1 B) (.f64 1/3 (.f64 B x))) (/.f64 x B)) (/.f64 1 (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(if (<=.f64 x -5725396220820477/17592186044416) (/.f64 (neg.f64 x) B) (if (<=.f64 x 3959093876941975/2417851639229258349412352) (/.f64 1 B) (/.f64 (neg.f64 x) B)))
(/.f64 1 B)

Compiler

Compiled 175 to 113 computations (35.4% saved)

soundness48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

105×	`fma-def_binary64`
66×	`fma-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
19×	`sub-neg_binary64`
11×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14

Stop Event

1×

saturated

Compiler

Compiled 65 to 50 computations (23.1% saved)

end78.0ms (0.7%)

Compiler: Compiled 161 to 87 computations (46% saved)

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14

Iter	Nodes	Cost
0	9	115
1	17	106
2	25	106
3	35	106
4	48	106
5	74	106
6	130	106
7	253	106
8	494	79
9	732	79
10	829	79
11	895	79

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14

Iter	Nodes	Cost
0	9	115
1	17	106
2	25	106
3	35	106
4	48	106
5	74	106
6	130	106
7	253	106
8	494	79
9	732	79
10	829	79
11	895	79

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14

Iter	Nodes	Cost
0	9	115
1	17	106
2	25	106
3	35	106
4	48	106
5	74	106
6	130	106
7	253	106
8	494	79
9	732	79
10	829	79
11	895	79

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14