Details

analyze22.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

Compiler

Compiled 20 to 14 computations (30% saved)

sample2.5s (57.8%)

Results

1.2s	2120×	body	1024	valid
752.0ms	4634×	body	128	valid
413.0ms	964×	body	512	valid
156.0ms	537×	body	256	valid
1.0ms	1×	body	2048	valid

preprocess19.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

8×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
4×	`associate-/r/_binary64`
4×	`fma-def_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	28	30
2	40	30
3	46	30
4	48	30
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (.f64 v (sin.f64 e)) (+.f64 1 (.f64 v (cos.f64 e))))

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
(/.f64 (.f64 v (sin.f64 e)) (+.f64 1 (.f64 v (cos.f64 e))))
(*.f64 (/.f64 v (fma.f64 v (cos.f64 e) 1)) (sin.f64 e))
(*.f64 (sin.f64 e) (/.f64 v (fma.f64 v (cos.f64 e) 1)))
(*.f64 v (/.f64 (sin.f64 e) (fma.f64 v (cos.f64 e) 1)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
2×	`fma-def_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	17	15
2	23	15
3	26	15
4	27	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))

eval1.0ms (0%)

Compiler: Compiled 23 to 13 computations (43.5% saved)

prune2.0ms (0.1%)

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
▶	0.1b	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

Compiler

Compiled 50 to 34 computations (32% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 v)
✓	0.0b	(cos.f64 v)
✓	0.0b	(/.f64 e (fma.f64 e (cos.f64 v) 1))
✓	0.1b	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))

series15.0ms (0.3%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	e	@	-inf	(/.f64 e (fma.f64 e (cos.f64 v) 1))
2.0ms	v	@	0	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
1.0ms	e	@	0	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
1.0ms	v	@	inf	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
1.0ms	v	@	-inf	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
89×	`*-un-lft-identity_binary64`
89×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	178	31
2	2236	31

Stop Event

1×	node limit

Counts

4 → 93

Calls

Call 1

Inputs
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(cos.f64 v)
(sin.f64 v)

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

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-def_binary64`
284×	`associate-/r*_binary64`
266×	`times-frac_binary64`
226×	`associate-/l*_binary64`
181×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	1763
1	482	1685
2	1701	1645

Stop Event

1×	node limit

Counts

149 → 155

Calls

Call 1

Inputs
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (.f64 v e) (+.f64 1 e)))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
e
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e))
(+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e)))
(/.f64 1 (cos.f64 v))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (+.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e))))
(/.f64 1 (cos.f64 v))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (+.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e))))
(/.f64 e (+.f64 1 e))
(+.f64 (/.f64 e (+.f64 1 e)) (.f64 1/2 (/.f64 (.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))))
(+.f64 (/.f64 e (+.f64 1 e)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))) (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3))))))))
(+.f64 (/.f64 e (+.f64 1 e)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 6) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3)))) e) (+.f64 1 e))) (.f64 1/48 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3))))))) (.f64 -1 (.f64 (pow.f64 v 4) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3)))))))))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 v 4)) (.f64 -1/2 (pow.f64 v 2))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 v 4)) (+.f64 (.f64 -1/2 (pow.f64 v 2)) (*.f64 -1/720 (pow.f64 v 6)))))
v
(+.f64 v (*.f64 -1/6 (pow.f64 v 3)))
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (.f64 1/120 (pow.f64 v 5))))
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (+.f64 (.f64 -1/5040 (pow.f64 v 7)) (*.f64 1/120 (pow.f64 v 5)))))

Outputs
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 e (/.f64 (+.f64 e 1) v))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (.f64 v e) (+.f64 1 e)))
(fma.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 1/2 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (.f64 v e) (+.f64 e 1)))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (*.f64 (/.f64 v (+.f64 e 1)) e))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (/.f64 e (/.f64 (+.f64 e 1) v)))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 1/2 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (.f64 v e) (+.f64 e 1))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 1/24 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (+.f64 e 1) e)))))))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (fma.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (/.f64 (+.f64 e 1) e)) (/.f64 (.f64 (.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))) (.f64 (/.f64 v (+.f64 e 1)) e)))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (fma.f64 (pow.f64 v 5) (+.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/24)) (.f64 (-.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e))) (/.f64 -1/2 (/.f64 (pow.f64 (+.f64 e 1) 3) (pow.f64 e 3)))) 1/2)) (/.f64 e (/.f64 (+.f64 e 1) v))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 1/2 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (.f64 v e) (+.f64 e 1))) (fma.f64 (pow.f64 v 7) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) -1/5040) (fma.f64 1/24 (/.f64 (+.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 1/2 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 1/24 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 1/2 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (+.f64 e 1) e))))) (/.f64 (+.f64 e 1) e)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/720)))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 1/24 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (+.f64 e 1) e))))))))
(+.f64 (fma.f64 (pow.f64 v 7) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) -1/5040) (fma.f64 1/24 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (/.f64 (+.f64 e 1) e)) (/.f64 (.f64 (.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (+.f64 e 1) e)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/720)))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (/.f64 (+.f64 e 1) e)) (/.f64 (.f64 (.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))))) (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (*.f64 (/.f64 v (+.f64 e 1)) e)))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (fma.f64 (pow.f64 v 5) (+.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/24)) (.f64 (-.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e))) (/.f64 -1/2 (/.f64 (pow.f64 (+.f64 e 1) 3) (pow.f64 e 3)))) 1/2)) (fma.f64 (pow.f64 v 7) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) -1/5040) (fma.f64 -1/2 (.f64 (/.f64 e (+.f64 e 1)) (+.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/24)) (.f64 (-.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e))) (/.f64 -1/2 (/.f64 (pow.f64 (+.f64 e 1) 3) (pow.f64 e 3)))) 1/2))) (fma.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/720 (.f64 1/24 (-.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e e))) (/.f64 -1/2 (/.f64 (pow.f64 (+.f64 e 1) 3) (pow.f64 e 3)))))))) (/.f64 e (/.f64 (+.f64 e 1) v)))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
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(+.f64 (/.f64 e (+.f64 e 1)) (fma.f64 1/2 (/.f64 (.f64 (.f64 e e) (.f64 v v)) (pow.f64 (+.f64 e 1) 2)) (fma.f64 -1 (.f64 (pow.f64 v 6) (fma.f64 -1/720 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) (fma.f64 1/2 (/.f64 (fma.f64 1/24 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) (.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))) (/.f64 (+.f64 e 1) e)) (/.f64 (.f64 1/48 (pow.f64 e 3)) (pow.f64 (+.f64 e 1) 3))))) (neg.f64 (.f64 (pow.f64 v 4) (fma.f64 1/24 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))))))))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 v v) (pow.f64 (+.f64 e 1) 2)) (.f64 e e)) (/.f64 e (+.f64 e 1))) (neg.f64 (fma.f64 (pow.f64 v 6) (fma.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/720 (fma.f64 1/2 (/.f64 (fma.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/24 (/.f64 -1/4 (/.f64 (pow.f64 (+.f64 e 1) 3) (pow.f64 e 3)))) (/.f64 (+.f64 e 1) e)) (.f64 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)) 1/48))) (.f64 (pow.f64 v 4) (fma.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/24 (/.f64 -1/4 (/.f64 (pow.f64 (+.f64 e 1) 3) (pow.f64 e 3))))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) (.f64 v v)) (/.f64 e (+.f64 e 1))) (fma.f64 (pow.f64 v 4) (fma.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/24 (.f64 -1/4 (pow.f64 (/.f64 e (+.f64 e 1)) 3))) (.f64 (pow.f64 v 6) (fma.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/720 (fma.f64 1/2 (.f64 (/.f64 e (+.f64 e 1)) (fma.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/24 (.f64 -1/4 (pow.f64 (/.f64 e (+.f64 e 1)) 3)))) (*.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 3) 1/48))))))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 v 2)))
(+.f64 1 (.f64 -1/2 (.f64 v v)))
(fma.f64 -1/2 (*.f64 v v) 1)
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 v 4)) (.f64 -1/2 (pow.f64 v 2))))
(+.f64 1 (fma.f64 1/24 (pow.f64 v 4) (.f64 -1/2 (.f64 v v))))
(+.f64 (.f64 1/24 (pow.f64 v 4)) (fma.f64 -1/2 (.f64 v v) 1))
(fma.f64 1/24 (pow.f64 v 4) (fma.f64 -1/2 (*.f64 v v) 1))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 v 4)) (+.f64 (.f64 -1/2 (pow.f64 v 2)) (*.f64 -1/720 (pow.f64 v 6)))))
(+.f64 1 (fma.f64 1/24 (pow.f64 v 4) (fma.f64 -1/2 (.f64 v v) (.f64 -1/720 (pow.f64 v 6)))))
(+.f64 1 (fma.f64 v (.f64 v -1/2) (fma.f64 1/24 (pow.f64 v 4) (.f64 -1/720 (pow.f64 v 6)))))
v
(+.f64 v (*.f64 -1/6 (pow.f64 v 3)))
(+.f64 v (*.f64 (pow.f64 v 3) -1/6))
(fma.f64 (pow.f64 v 3) -1/6 v)
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (.f64 1/120 (pow.f64 v 5))))
(+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (*.f64 (pow.f64 v 5) 1/120)))
(+.f64 v (fma.f64 (pow.f64 v 3) -1/6 (*.f64 (pow.f64 v 5) 1/120)))
(fma.f64 (pow.f64 v 5) 1/120 (fma.f64 (pow.f64 v 3) -1/6 v))
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (+.f64 (.f64 -1/5040 (pow.f64 v 7)) (*.f64 1/120 (pow.f64 v 5)))))
(+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 (pow.f64 v 5) 1/120))))
(+.f64 v (fma.f64 (pow.f64 v 3) -1/6 (fma.f64 (pow.f64 v 5) 1/120 (*.f64 (pow.f64 v 7) -1/5040))))
(+.f64 v (fma.f64 (pow.f64 v 5) 1/120 (fma.f64 (pow.f64 v 7) -1/5040 (*.f64 (pow.f64 v 3) -1/6))))

eval57.0ms (1.3%)

Compiler: Compiled 3218 to 1870 computations (41.9% saved)

prune327.0ms (7.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	147	8	155
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	148	9	157

Error

0.0b

Counts

157 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	16.9b	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
✓	0.1b	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
	0.4b	(*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 2))
	21.3b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))) 2)
	1.1b	(.f64 (sin.f64 v) (.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (cbrt.f64 e) (sqrt.f64 (fma.f64 e (cos.f64 v) 1)))))
	23.7b	(exp.f64 (log.f64 (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))))
	33.9b	(cbrt.f64 (*.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) 3) (pow.f64 (sin.f64 v) 3)))
	1.1b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))) 3)
▶	0.3b	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))

Compiler

Compiled 268 to 190 computations (29.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 v)
	0.0b	(cos.f64 v)
✓	0.0b	(/.f64 (fma.f64 e (cos.f64 v) 1) e)
✓	0.3b	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	e	@	inf	(/.f64 (fma.f64 e (cos.f64 v) 1) e)
1.0ms	v	@	-inf	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
1.0ms	e	@	0	(/.f64 (fma.f64 e (cos.f64 v) 1) e)
1.0ms	e	@	-inf	(/.f64 (fma.f64 e (cos.f64 v) 1) e)
1.0ms	v	@	0	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))

rewrite47.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`log-prod_binary64`
248×	`pow2_binary64`
174×	`pow1/3_binary64`
168×	`expm1-udef_binary64`
168×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	184	25
2	2479	25

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) e)

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

Outputs

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

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

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
495×	`fma-def_binary64`
395×	`associate-l_binary64`
372×	`associate-r_binary64`
181×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1252
1	324	1187
2	1025	1165
3	4731	1159

Stop Event

1×	node limit

Counts

134 → 124

Calls

Call 1

Inputs
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (.f64 v e) (+.f64 1 e)))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 1 e)
(+.f64 (cos.f64 v) (/.f64 1 e))
(+.f64 (cos.f64 v) (/.f64 1 e))
(+.f64 (cos.f64 v) (/.f64 1 e))
(cos.f64 v)
(+.f64 (/.f64 1 e) (cos.f64 v))
(+.f64 (/.f64 1 e) (cos.f64 v))
(+.f64 (/.f64 1 e) (cos.f64 v))
(cos.f64 v)
(+.f64 (/.f64 1 e) (cos.f64 v))
(+.f64 (/.f64 1 e) (cos.f64 v))
(+.f64 (/.f64 1 e) (cos.f64 v))
(/.f64 (+.f64 1 e) e)
(+.f64 1 (+.f64 (/.f64 1 e) (*.f64 -1/2 (pow.f64 v 2))))
(+.f64 1 (+.f64 (/.f64 1 e) (+.f64 (.f64 1/24 (pow.f64 v 4)) (.f64 -1/2 (pow.f64 v 2)))))
(+.f64 1 (+.f64 (/.f64 1 e) (+.f64 (.f64 1/24 (pow.f64 v 4)) (+.f64 (.f64 -1/2 (pow.f64 v 2)) (*.f64 -1/720 (pow.f64 v 6))))))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)

Outputs
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 e (/.f64 (+.f64 e 1) v))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (.f64 v e) (+.f64 1 e)))
(fma.f64 (pow.f64 v 3) (-.f64 (/.f64 (.f64 -1/6 e) (+.f64 e 1)) (/.f64 (.f64 -1/2 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (.f64 v e) (+.f64 e 1)))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (.f64 1/2 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (*.f64 (/.f64 v (+.f64 e 1)) e))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (/.f64 e (/.f64 (+.f64 e 1) v)))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (/.f64 (.f64 -1/6 e) (+.f64 e 1)) (/.f64 (.f64 -1/2 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (.f64 v e) (+.f64 e 1))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 1/24 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) (.f64 -1/2 (/.f64 (-.f64 (/.f64 (.f64 -1/6 e) (+.f64 e 1)) (/.f64 (.f64 -1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (+.f64 e 1) e)))))))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (.f64 1/2 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (fma.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/24 (/.f64 (.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (.f64 1/2 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) -1/2) (/.f64 (+.f64 e 1) e)))) (.f64 (/.f64 v (+.f64 e 1)) e)))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (fma.f64 (pow.f64 v 5) (+.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/24)) (.f64 (.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2))) 1/2)) (/.f64 e (/.f64 (+.f64 e 1) v))))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (fma.f64 (pow.f64 v 5) (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (fma.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/24 (.f64 (.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2))) 1/2))) (/.f64 e (/.f64 (+.f64 e 1) v))))
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(+.f64 1 (fma.f64 -1/2 (*.f64 v v) (/.f64 1 e)))
(+.f64 1 (fma.f64 v (*.f64 v -1/2) (/.f64 1 e)))
(+.f64 1 (+.f64 (/.f64 1 e) (+.f64 (.f64 1/24 (pow.f64 v 4)) (.f64 -1/2 (pow.f64 v 2)))))
(+.f64 (+.f64 1 (/.f64 1 e)) (fma.f64 1/24 (pow.f64 v 4) (.f64 -1/2 (.f64 v v))))
(+.f64 1 (+.f64 (/.f64 1 e) (fma.f64 -1/2 (.f64 v v) (.f64 1/24 (pow.f64 v 4)))))
(+.f64 (fma.f64 1/24 (pow.f64 v 4) (/.f64 1 e)) (fma.f64 v (*.f64 v -1/2) 1))
(+.f64 1 (+.f64 (/.f64 1 e) (+.f64 (.f64 1/24 (pow.f64 v 4)) (+.f64 (.f64 -1/2 (pow.f64 v 2)) (*.f64 -1/720 (pow.f64 v 6))))))
(+.f64 1 (+.f64 (/.f64 1 e) (fma.f64 1/24 (pow.f64 v 4) (fma.f64 -1/2 (.f64 v v) (.f64 -1/720 (pow.f64 v 6))))))
(+.f64 (fma.f64 1/24 (pow.f64 v 4) (/.f64 1 e)) (+.f64 1 (fma.f64 v (.f64 v -1/2) (.f64 -1/720 (pow.f64 v 6)))))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(/.f64 (fma.f64 e (cos.f64 v) 1) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(/.f64 (fma.f64 e (cos.f64 v) 1) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(/.f64 (fma.f64 e (cos.f64 v) 1) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(/.f64 (fma.f64 e (cos.f64 v) 1) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(/.f64 (fma.f64 e (cos.f64 v) 1) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(/.f64 (fma.f64 e (cos.f64 v) 1) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(/.f64 (fma.f64 e (cos.f64 v) 1) e)
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e)
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e)
(/.f64 (fma.f64 e (cos.f64 v) 1) e)

eval61.0ms (1.4%)

Compiler: Compiled 3252 to 1813 computations (44.2% saved)

prune387.0ms (8.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	167	7	174
Fresh	7	0	7
Picked	1	0	1
Done	0	1	1
Total	175	8	183

Error

Counts

183 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	9.0b	(/.f64 (cbrt.f64 (pow.f64 (sin.f64 v) 3)) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
✓	0.1b	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
▶	0.3b	(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 1 e)))
	21.2b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))) 2)
	0.3b	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
	0.4b	(.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (sqrt.f64 e)) (sqrt.f64 e))
	5.7b	(.f64 (cbrt.f64 (pow.f64 (sin.f64 v) 2)) (.f64 (cbrt.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) 1))))
	0.5b	(/.f64 (sin.f64 v) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) e)) 2))

Compiler

Compiled 222 to 156 computations (29.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 v)
	0.0b	(cos.f64 v)
✓	0.3b	(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 1 e)))

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 1 e)))
1.0ms	v	@	inf	(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 1 e)))
1.0ms	v	@	-inf	(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 1 e)))
0.0ms	e	@	-inf	(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 1 e)))
0.0ms	e	@	inf	(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 1 e)))

rewrite41.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

526×	`prod-diff_binary64`
177×	`fma-def_binary64`
174×	`expm1-udef_binary64`
174×	`log1p-udef_binary64`
148×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	192	14
2	2630	14

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 1 e)))

Outputs

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

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Rules

761×	`times-frac_binary64`
719×	`fma-neg_binary64`
433×	`fma-def_binary64`
334×	`associate-l_binary64`
296×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	1000
1	344	983
2	937	935
3	4002	935

Stop Event

1×	node limit

Counts

59 → 58

Calls

Call 1

Inputs
(/.f64 v (+.f64 1 (/.f64 1 e)))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))) (.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))) (+.f64 1 (/.f64 1 e)))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))))) (pow.f64 v 5))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 1/720 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))) (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 (/.f64 1 e) 1))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 (/.f64 1 e) 1))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))))) (+.f64 1 (/.f64 1 e)))) (.f64 1/5040 (/.f64 1 (+.f64 1 (/.f64 1 e)))))))) (.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))) (+.f64 1 (/.f64 1 e)))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))))) (pow.f64 v 5)))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))

Outputs
(/.f64 v (+.f64 1 (/.f64 1 e)))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (.f64 (pow.f64 v 3) (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 1/6 (+.f64 1 (/.f64 1 e))))))
(fma.f64 (pow.f64 v 3) (+.f64 (/.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (/.f64 v (+.f64 1 (/.f64 1 e))))
(fma.f64 (pow.f64 v 3) (-.f64 (/.f64 (/.f64 1/2 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (/.f64 v (+.f64 1 (/.f64 1 e))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))) (.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))) (+.f64 1 (/.f64 1 e)))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))))) (pow.f64 v 5))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (fma.f64 (pow.f64 v 3) (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (fma.f64 (pow.f64 v 3) (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 -1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (/.f64 (/.f64 1/24 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))))) (fma.f64 (pow.f64 v 3) (-.f64 (/.f64 (/.f64 1/2 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (/.f64 v (+.f64 1 (/.f64 1 e)))))
(fma.f64 (pow.f64 v 5) (+.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 1/2 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 -1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/24 (*.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))) (fma.f64 (pow.f64 v 3) (-.f64 (/.f64 (/.f64 1/2 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (/.f64 v (+.f64 1 (/.f64 1 e)))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 1/720 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))) (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 (/.f64 1 e) 1))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 (/.f64 1 e) 1))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))))) (+.f64 1 (/.f64 1 e)))) (.f64 1/5040 (/.f64 1 (+.f64 1 (/.f64 1 e)))))))) (.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))) (+.f64 1 (/.f64 1 e)))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))))) (pow.f64 v 5)))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (fma.f64 (pow.f64 v 3) (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (fma.f64 (pow.f64 v 7) (-.f64 (/.f64 1/720 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (fma.f64 1/24 (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))) (+.f64 1 (/.f64 1 e))) (/.f64 1/5040 (+.f64 1 (/.f64 1 e)))))) (.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (fma.f64 (pow.f64 v 3) (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))) (.f64 (pow.f64 v 7) (-.f64 (/.f64 1/720 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (fma.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) 1/24 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))) (+.f64 1 (/.f64 1 e))) (/.f64 1/5040 (+.f64 1 (/.f64 1 e))))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (/.f64 (/.f64 1/2 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (/.f64 v (+.f64 1 (/.f64 1 e)))) (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 -1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (/.f64 (/.f64 1/24 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))))) (.f64 (pow.f64 v 7) (-.f64 (/.f64 1/720 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (fma.f64 -1/2 (-.f64 (/.f64 (+.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (*.f64 1/2 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 -1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (pow.f64 (+.f64 1 (/.f64 1 e)) 3))) (fma.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 -1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) 1/24 (/.f64 1/5040 (+.f64 1 (/.f64 1 e)))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (/.f64 (/.f64 1/2 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (/.f64 v (+.f64 1 (/.f64 1 e)))) (fma.f64 (pow.f64 v 5) (+.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 1/2 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 -1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))) (.f64 (pow.f64 v 7) (-.f64 (/.f64 1/720 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (fma.f64 -1/2 (-.f64 (/.f64 (+.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (.f64 1/2 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 -1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (pow.f64 (+.f64 1 (/.f64 1 e)) 3))) (fma.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 -1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) 1/24 (/.f64 1/5040 (+.f64 1 (/.f64 1 e)))))))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(fma.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e e))) (.f64 e (sin.f64 v)))
(-.f64 (.f64 e (sin.f64 v)) (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e e))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (*.f64 e e))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(fma.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e e))) (.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(-.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (sin.f64 v) (.f64 (cos.f64 v) (*.f64 e e))))
(.f64 (sin.f64 v) (-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (.f64 (cos.f64 v) (*.f64 e e))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(fma.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e e))) (fma.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(+.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (neg.f64 (sin.f64 v)) (+.f64 (.f64 (cos.f64 v) (.f64 e e)) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(-.f64 (.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e)) (.f64 (sin.f64 v) (fma.f64 e (.f64 e (cos.f64 v)) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (+.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (+.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))

eval40.0ms (0.9%)

Compiler: Compiled 2252 to 1446 computations (35.8% saved)

prune163.0ms (3.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	109	7	116

Error

Counts

116 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (sqrt.f64 e)) (sqrt.f64 e))
▶	0.3b	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (+.f64 (cos.f64 v) (/.f64 1 e)))
✓	0.1b	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
	21.2b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))) 2)
	8.9b	(/.f64 (cbrt.f64 (pow.f64 (sin.f64 v) 3)) (+.f64 (cos.f64 v) (/.f64 1 e)))
	5.7b	(.f64 (cbrt.f64 (pow.f64 (sin.f64 v) 2)) (.f64 (cbrt.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) 1))))
	0.5b	(/.f64 (sin.f64 v) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) e)) 2))

Compiler

Compiled 196 to 140 computations (28.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 v)
✓	0.1b	(expm1.f64 (sin.f64 v))
✓	0.2b	(log1p.f64 (expm1.f64 (sin.f64 v)))
✓	0.3b	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (+.f64 (cos.f64 v) (/.f64 1 e)))

series4.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (+.f64 (cos.f64 v) (/.f64 1 e)))
0.0ms	v	@	0	(expm1.f64 (sin.f64 v))
0.0ms	e	@	inf	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (+.f64 (cos.f64 v) (/.f64 1 e)))
0.0ms	v	@	-inf	(expm1.f64 (sin.f64 v))
0.0ms	v	@	inf	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (+.f64 (cos.f64 v) (/.f64 1 e)))

rewrite48.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`prod-diff_binary64`
189×	`fma-def_binary64`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`
162×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	214	22
2	2837	22

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (+.f64 (cos.f64 v) (/.f64 1 e)))
(log1p.f64 (expm1.f64 (sin.f64 v)))
(expm1.f64 (sin.f64 v))

Outputs

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

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

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

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-neg_binary64`
588×	`fma-def_binary64`
362×	`associate-l_binary64`
327×	`associate-r_binary64`
154×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1168
1	402	1147
2	1095	1093
3	4471	1093

Stop Event

1×	node limit

Counts

124 → 113

Calls

Call 1

Inputs
(/.f64 v (+.f64 1 (/.f64 1 e)))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))) (.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))) (+.f64 1 (/.f64 1 e)))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))))) (pow.f64 v 5))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 1/720 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))) (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 (/.f64 1 e) 1))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 (/.f64 1 e) 1))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))))) (+.f64 1 (/.f64 1 e)))) (.f64 1/5040 (/.f64 1 (+.f64 1 (/.f64 1 e)))))))) (.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))) (+.f64 1 (/.f64 1 e)))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))))) (pow.f64 v 5)))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
v
(+.f64 v (*.f64 -1/6 (pow.f64 v 3)))
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (.f64 1/120 (pow.f64 v 5))))
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (+.f64 (.f64 -1/5040 (pow.f64 v 7)) (*.f64 1/120 (pow.f64 v 5)))))
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
v
(+.f64 v (*.f64 1/2 (pow.f64 v 2)))
(+.f64 v (+.f64 (.f64 1/2 (pow.f64 v 2)) (.f64 -1/8 (pow.f64 v 4))))
(+.f64 (.f64 -1/15 (pow.f64 v 5)) (+.f64 v (+.f64 (.f64 1/2 (pow.f64 v 2)) (*.f64 -1/8 (pow.f64 v 4)))))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)

Outputs
(/.f64 v (+.f64 1 (/.f64 1 e)))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (.f64 (pow.f64 v 3) (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 1/6 (+.f64 1 (/.f64 1 e))))))
(fma.f64 (pow.f64 v 3) (+.f64 (/.f64 1/2 (*.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (/.f64 v (+.f64 1 (/.f64 1 e))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))) (.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))) (+.f64 1 (/.f64 1 e)))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))))) (pow.f64 v 5))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (fma.f64 (pow.f64 v 3) (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (fma.f64 (pow.f64 v 3) (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))))))
(fma.f64 (pow.f64 v 3) (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (/.f64 1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))) (/.f64 v (+.f64 1 (/.f64 1 e)))))
(fma.f64 (pow.f64 v 3) (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (fma.f64 (pow.f64 v 5) (+.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 1/2 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))) (/.f64 v (+.f64 1 (/.f64 1 e)))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e)))))) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 1/720 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))) (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 (/.f64 1 e) 1))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 (/.f64 1 e) 1))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))))) (+.f64 1 (/.f64 1 e)))) (.f64 1/5040 (/.f64 1 (+.f64 1 (/.f64 1 e)))))))) (.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 (/.f64 1 e)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))) (+.f64 1 (/.f64 1 e)))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))))) (pow.f64 v 5)))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (fma.f64 (pow.f64 v 3) (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (fma.f64 (pow.f64 v 7) (-.f64 (/.f64 1/720 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (fma.f64 1/24 (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))) (+.f64 1 (/.f64 1 e))) (/.f64 1/5040 (+.f64 1 (/.f64 1 e)))))) (.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e))))))))))
(+.f64 (/.f64 v (+.f64 1 (/.f64 1 e))) (fma.f64 (pow.f64 v 3) (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))) (.f64 (pow.f64 v 7) (-.f64 (/.f64 1/720 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (fma.f64 (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) 1/24 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))) (+.f64 1 (/.f64 1 e))) (/.f64 1/5040 (+.f64 1 (/.f64 1 e))))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (/.f64 v (+.f64 1 (/.f64 1 e)))) (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (/.f64 1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))) (.f64 (pow.f64 v 7) (-.f64 (/.f64 (/.f64 1/720 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (-.f64 (/.f64 (+.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (.f64 1/2 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (pow.f64 (+.f64 1 (/.f64 1 e)) 3))) (fma.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) 1/24 (/.f64 1/5040 (+.f64 1 (/.f64 1 e)))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/6 (+.f64 1 (/.f64 1 e)))) (/.f64 v (+.f64 1 (/.f64 1 e)))) (fma.f64 (pow.f64 v 5) (+.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (fma.f64 1/2 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) (/.f64 -1/24 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 1 (/.f64 1 e)))))) (.f64 (pow.f64 v 7) (-.f64 (/.f64 (/.f64 1/720 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e))) (fma.f64 -1/2 (-.f64 (/.f64 (+.f64 (/.f64 1/120 (+.f64 1 (/.f64 1 e))) (.f64 1/2 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))))) (+.f64 1 (/.f64 1 e))) (/.f64 1/24 (pow.f64 (+.f64 1 (/.f64 1 e)) 3))) (fma.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (/.f64 1 e)) 3)) (/.f64 (/.f64 1/6 (+.f64 1 (/.f64 1 e))) (+.f64 1 (/.f64 1 e)))) 1/24 (/.f64 1/5040 (+.f64 1 (/.f64 1 e)))))))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(fma.f64 -1 (.f64 (.f64 (sin.f64 v) (cos.f64 v)) (.f64 e e)) (.f64 e (sin.f64 v)))
(-.f64 (.f64 e (sin.f64 v)) (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e e))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(fma.f64 -1 (.f64 (.f64 (sin.f64 v) (cos.f64 v)) (.f64 e e)) (.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(fma.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (.f64 (.f64 (cos.f64 v) (.f64 e e)) (neg.f64 (sin.f64 v))))
(.f64 (sin.f64 v) (-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (.f64 e (*.f64 e (cos.f64 v)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(fma.f64 -1 (.f64 (.f64 (sin.f64 v) (cos.f64 v)) (.f64 e e)) (fma.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(+.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (neg.f64 (sin.f64 v)) (+.f64 (.f64 (cos.f64 v) (.f64 e e)) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(-.f64 (.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e)) (.f64 (sin.f64 v) (fma.f64 e (.f64 e (cos.f64 v)) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(fma.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (.f64 e (cos.f64 v)) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3))))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3))))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
v
(+.f64 v (*.f64 -1/6 (pow.f64 v 3)))
(+.f64 v (*.f64 (pow.f64 v 3) -1/6))
(fma.f64 (pow.f64 v 3) -1/6 v)
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (.f64 1/120 (pow.f64 v 5))))
(+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5))))
(+.f64 v (fma.f64 (pow.f64 v 3) -1/6 (*.f64 1/120 (pow.f64 v 5))))
(fma.f64 (pow.f64 v 3) -1/6 (fma.f64 1/120 (pow.f64 v 5) v))
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (+.f64 (.f64 -1/5040 (pow.f64 v 7)) (*.f64 1/120 (pow.f64 v 5)))))
(+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 1/120 (pow.f64 v 5)))))
(+.f64 v (fma.f64 (pow.f64 v 3) -1/6 (fma.f64 1/120 (pow.f64 v 5) (*.f64 (pow.f64 v 7) -1/5040))))
(+.f64 v (fma.f64 (pow.f64 v 3) -1/6 (fma.f64 (pow.f64 v 7) -1/5040 (*.f64 1/120 (pow.f64 v 5)))))
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
v
(+.f64 v (*.f64 1/2 (pow.f64 v 2)))
(+.f64 v (.f64 1/2 (.f64 v v)))
(fma.f64 1/2 (*.f64 v v) v)
(+.f64 v (+.f64 (.f64 1/2 (pow.f64 v 2)) (.f64 -1/8 (pow.f64 v 4))))
(+.f64 v (fma.f64 1/2 (.f64 v v) (.f64 -1/8 (pow.f64 v 4))))
(fma.f64 v (*.f64 v 1/2) (fma.f64 -1/8 (pow.f64 v 4) v))
(+.f64 (.f64 -1/15 (pow.f64 v 5)) (+.f64 v (+.f64 (.f64 1/2 (pow.f64 v 2)) (*.f64 -1/8 (pow.f64 v 4)))))
(fma.f64 -1/15 (pow.f64 v 5) (+.f64 v (fma.f64 1/2 (.f64 v v) (.f64 -1/8 (pow.f64 v 4)))))
(+.f64 (fma.f64 1/2 (.f64 v v) (.f64 -1/8 (pow.f64 v 4))) (fma.f64 (pow.f64 v 5) -1/15 v))
(fma.f64 (pow.f64 v 5) -1/15 (fma.f64 v (*.f64 v 1/2) (fma.f64 -1/8 (pow.f64 v 4) v)))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))

eval51.0ms (1.2%)

Compiler: Compiled 2807 to 1721 computations (38.7% saved)

prune230.0ms (5.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	138	7	145

Error

Counts

145 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	8.9b	(/.f64 (cbrt.f64 (pow.f64 (sin.f64 v) 3)) (+.f64 (cos.f64 v) (/.f64 1 e)))
	21.2b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))) 2)
	0.4b	(.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (sqrt.f64 e)) (sqrt.f64 e))
✓	0.3b	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (+.f64 (cos.f64 v) (/.f64 1 e)))
✓	0.1b	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
	5.7b	(.f64 (cbrt.f64 (pow.f64 (sin.f64 v) 2)) (.f64 (cbrt.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) 1))))
	0.5b	(/.f64 (sin.f64 v) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) e)) 2))

Compiler

Compiled 104 to 74 computations (28.8% saved)

regimes42.0ms (1%)

Accuracy

Total -42.4b remaining (-30144.7%)

Threshold costs -42.4b (-30144.7%)

Counts

20 → 1

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 v) 3)) (+.f64 (cos.f64 v) (/.f64 1 e)))
(/.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (+.f64 (cos.f64 v) (/.f64 1 e)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 v) 3)) (+.f64 (cos.f64 v) (/.f64 1 e)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 v) 3)) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 1 e)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))) 2)
(/.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (sqrt.f64 e)) (sqrt.f64 e))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 v) 2)) (.f64 (cbrt.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) 1))))
(/.f64 (sin.f64 v) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) e)) 2))
(*.f64 (log.f64 (exp.f64 (sin.f64 v))) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
(*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 2))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))) 2)
(.f64 (sin.f64 v) (.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (cbrt.f64 e) (sqrt.f64 (fma.f64 e (cos.f64 v) 1)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) 3) (pow.f64 (sin.f64 v) 3)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))) 3)
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

Outputs
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))

Results

Time	Error	Segments	Branch
11.0ms	0.1b	1	`e`
16.0ms	0.1b	1	`v`
9.0ms	0.1b	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))`

Compiler

Compiled 280 to 149 computations (46.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	12	15

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))

Outputs
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))

end17.0ms (0.4%)

Stop Event

1×

fuel

Compiler

Compiled 24 to 16 computations (33.3% saved)

Details

analyze22.0ms (0.5%)

sample2.5s (57.8%)

preprocess19.0ms (0.4%)

simplify6.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

series15.0ms (0.3%)

rewrite49.0ms (1.1%)

simplify43.0ms (1%)

eval57.0ms (1.3%)

prune327.0ms (7.4%)

localize7.0ms (0.2%)

series8.0ms (0.2%)

rewrite47.0ms (1.1%)

simplify52.0ms (1.2%)

eval61.0ms (1.4%)

prune387.0ms (8.8%)

localize7.0ms (0.2%)

series5.0ms (0.1%)

rewrite41.0ms (0.9%)

simplify43.0ms (1%)

eval40.0ms (0.9%)

prune163.0ms (3.7%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite48.0ms (1.1%)

simplify48.0ms (1.1%)

eval51.0ms (1.2%)

prune230.0ms (5.2%)

regimes42.0ms (1%)

simplify2.0ms (0%)

end17.0ms (0.4%)

Profiling