Details

analyze12.0ms (0.2%)

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

Compiler

Compiled 20 to 14 computations (30% saved)

sample2.1s (33.8%)

Results

909.0ms	1975×	body	1024	valid
870.0ms	5265×	body	256	valid
315.0ms	1009×	body	512	valid
6.0ms	7×	body	2048	valid

preprocess21.0ms (0.3%)

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 15 to 11 computations (26.7% saved)

simplify7.0ms (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%)

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 25 to 17 computations (32% saved)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series15.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite69.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`log-prod_binary64`
370×	`prod-diff_binary64`
345×	`pow-prod-down_binary64`
274×	`pow2_binary64`
254×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	207	34
2	2824	34

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

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

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
714×	`fma-def_binary64`
499×	`associate-l_binary64`
475×	`associate-r_binary64`
352×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1611
1	370	1527
2	1205	1480
3	5498	1423

Stop Event

1×	node limit

Counts

249 → 203

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series12.0ms (0.2%)

Counts

4 → 76

Calls

21 calls:

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

rewrite67.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

921×	`pow1_binary64`
846×	`add-log-exp_binary64`
846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	178	35
2	2236	35

Stop Event

1×	node limit

Counts

4 → 90

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

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

simplify84.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

920×	`fma-def_binary64`
792×	`associate-l_binary64`
286×	`associate-/r*_binary64`
266×	`associate-+l+_binary64`
266×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	1953
1	492	1843
2	1755	1796
3	7979	1784

Stop Event

1×	node limit

Counts

166 → 159

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)))
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)))))
1
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 (*.f64 (cos.f64 v) e))
(*.f64 (cos.f64 v) e)
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 (*.f64 (cos.f64 v) e))
(*.f64 (cos.f64 v) e)
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 e)
(+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) e)) e))
(+.f64 (.f64 1/24 (.f64 (pow.f64 v 4) e)) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) e)) e)))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 v 6) e)) (+.f64 (.f64 1/24 (.f64 (pow.f64 v 4) e)) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) e)) e))))
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 (*.f64 (cos.f64 v) e))

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

eval123.0ms (2%)

Compiler: Compiled 7196 to 3849 computations (46.5% saved)

prune61.0ms (1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	348	14	362
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	349	15	364

Error

0.0b

Counts

364 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e)))
▶	0.4b	(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
	0.1b	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
	0.5b	(*.f64 (sin.f64 v) (/.f64 e (+.f64 1 e)))
	0.4b	(*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 2))
▶	28.1b	(/.f64 (*.f64 v e) (+.f64 1 e))
▶	0.1b	(.f64 (.f64 e (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1)))
	1.1b	(/.f64 (pow.f64 (cbrt.f64 (.f64 e (sin.f64 v))) 3) (+.f64 1 (.f64 e (cos.f64 v))))
	0.3b	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
▶	19.5b	(*.f64 (log.f64 (exp.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))))
	1.1b	(*.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 3) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
	0.2b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
	1.0b	(*.f64 e (sin.f64 v))
	19.5b	(*.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) (/.f64 e (fma.f64 e (cos.f64 v) 1)))

Compiler

Compiled 373 to 263 computations (29.5% saved)

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`pow1_binary64`
895×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	201	25
2	2481	25

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

747×	`associate-l_binary64`
715×	`fma-def_binary64`
698×	`associate-r_binary64`
290×	`associate-/r*_binary64`
234×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1674
1	448	1605
2	1573	1579

Stop Event

1×	node limit

Counts

96 → 97

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (*.f64 v e) (+.f64 1 e))
✓	0.0b	(/.f64 (*.f64 v e) (+.f64 1 e))

series4.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite60.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`pow1_binary64`
805×	`add-log-exp_binary64`
805×	`log1p-expm1-u_binary64`
805×	`expm1-log1p-u_binary64`
789×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	10
2	2110	10

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(/.f64 (*.f64 v e) (+.f64 1 e))

Outputs

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

simplify36.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary64`
463×	`times-frac_binary64`
428×	`distribute-lft-out--_binary64`
376×	`distribute-rgt-neg-in_binary64`
329×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	176
1	92	164
2	251	154
3	936	137
4	4057	130

Stop Event

1×	node limit

Counts

55 → 57

Calls

Call 1

Inputs
(*.f64 v e)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (.f64 v (pow.f64 e 3))))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (+.f64 (.f64 v (pow.f64 e 3)) (.f64 -1 (.f64 v (pow.f64 e 4))))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))

Outputs
(*.f64 v e)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(fma.f64 v e (neg.f64 (.f64 v (.f64 e e))))
(-.f64 (.f64 v e) (.f64 v (*.f64 e e)))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v (fma.f64 e (neg.f64 e) e))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (.f64 v (pow.f64 e 3))))
(fma.f64 v e (fma.f64 -1 (.f64 v (.f64 e e)) (*.f64 v (pow.f64 e 3))))
(fma.f64 v e (fma.f64 (neg.f64 v) (.f64 e e) (.f64 v (pow.f64 e 3))))
(fma.f64 v e (.f64 (.f64 v e) (-.f64 (*.f64 e e) e)))
(.f64 (.f64 v e) (-.f64 (fma.f64 e e 1) e))
(.f64 v (.f64 e (-.f64 (fma.f64 e e 1) e)))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (+.f64 (.f64 v (pow.f64 e 3)) (.f64 -1 (.f64 v (pow.f64 e 4))))))
(fma.f64 v e (fma.f64 -1 (.f64 v (.f64 e e)) (fma.f64 v (pow.f64 e 3) (neg.f64 (*.f64 v (pow.f64 e 4))))))
(fma.f64 v e (-.f64 (fma.f64 (neg.f64 v) (.f64 e e) (.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 4))))
(+.f64 (.f64 v (-.f64 (pow.f64 e 3) (pow.f64 e 4))) (.f64 v (-.f64 e (*.f64 e e))))
(.f64 (-.f64 e (.f64 e e)) (*.f64 (fma.f64 e e 1) v))
(.f64 (-.f64 v (.f64 v e)) (+.f64 e (pow.f64 e 3)))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)))
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 v (*.f64 e e)))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))))
(+.f64 v (-.f64 (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v (pow.f64 e 3))) (/.f64 v e)))
(+.f64 v (-.f64 (.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 v (.f64 e e))) (/.f64 v e)))
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)))
(.f64 (+.f64 1 (/.f64 -1 e)) (+.f64 v (/.f64 v (.f64 e e))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)))
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 v (*.f64 e e)))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))))
(+.f64 v (-.f64 (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v (pow.f64 e 3))) (/.f64 v e)))
(+.f64 v (-.f64 (.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 v (.f64 e e))) (/.f64 v e)))
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)))
(.f64 (+.f64 1 (/.f64 -1 e)) (+.f64 v (/.f64 v (.f64 e e))))

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series11.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	v	@	-inf	(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
1.0ms	v	@	0	(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
1.0ms	v	@	inf	(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
1.0ms	e	@	inf	(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
1.0ms	e	@	0	(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))

rewrite110.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`prod-diff_binary64`
543×	`log-prod_binary64`
368×	`pow-prod-down_binary64`
264×	`fma-def_binary64`
262×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	192	38
2	2652	38

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

Inputs
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 e (.f64 e (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 v) (*.f64 e e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 v) (*.f64 e e)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 v) (*.f64 e e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 v) (*.f64 e e))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (cos.f64 v)) e) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 v) (*.f64 e e)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) (*.f64 e e))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 v) (*.f64 e e))))))))

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4)) (/.f64 1 (*.f64 (fma.f64 e (cos.f64 v) 1) e)) (fma.f64 (neg.f64 (cos.f64 v)) (*.f64 e e) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 e e) (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4)) (/.f64 1 (*.f64 (fma.f64 e (cos.f64 v) 1) e)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 v) (*.f64 e e)))) (cbrt.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4)) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 e e) (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4)) (/.f64 1 (*.f64 (fma.f64 e (cos.f64 v) 1) e)) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 e e)) (cos.f64 v))) 2) (cbrt.f64 (*.f64 (neg.f64 (*.f64 e e)) (cos.f64 v))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (neg.f64 (*.f64 e e)) (cos.f64 v))) (sqrt.f64 (*.f64 (neg.f64 (*.f64 e e)) (cos.f64 v))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 e (cos.f64 v))) e e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 e (sqrt.f64 (cos.f64 v)))) (*.f64 e (sqrt.f64 (cos.f64 v))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (cos.f64 v) (*.f64 e e)) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (-.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (fma.f64 (*.f64 (neg.f64 (*.f64 e e)) (cos.f64 v)) 1 (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (-.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (fma.f64 (neg.f64 (cos.f64 v)) (*.f64 e e) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (-.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 v) (*.f64 e e)))) (cbrt.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4)) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (-.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 e e)) (cos.f64 v) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4))) (cbrt.f64 (*.f64 (cos.f64 v) (*.f64 e e))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 e) e) (cos.f64 v) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) e e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 e) 1) (*.f64 e (cos.f64 v)) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 e) (pow.f64 (cbrt.f64 (*.f64 e (cos.f64 v))) 2)) (cbrt.f64 (*.f64 e (cos.f64 v))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 e) (sqrt.f64 (*.f64 e (cos.f64 v)))) (sqrt.f64 (*.f64 e (cos.f64 v))) e)))))

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

679×	`fma-def_binary64`
454×	`+-commutative_binary64`
453×	`distribute-rgt-out_binary64`
424×	`associate-l_binary64`
413×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1146
1	254	1112
2	897	1079
3	4291	1050

Stop Event

1×	node limit

Counts

288 → 255

Calls

Call 1

Inputs
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2)))))
(+.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 1/240 (pow.f64 e 2)) (+.f64 (.f64 1/720 (pow.f64 e 2)) (+.f64 (.f64 1/144 (pow.f64 e 2)) (.f64 -1/5040 (-.f64 e (pow.f64 e 2))))))) (+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.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 (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 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.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 (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 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.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 (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 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(pow.f64 e 2)
(+.f64 (pow.f64 e 2) (.f64 -1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))))
(+.f64 (pow.f64 e 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))) (.f64 1/24 (.f64 (pow.f64 v 4) (pow.f64 e 2)))))
(+.f64 (pow.f64 e 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 v 6) (pow.f64 e 2))) (.f64 1/24 (.f64 (pow.f64 v 4) (pow.f64 e 2))))))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
e
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(-.f64 e (pow.f64 e 2))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))) e) (pow.f64 e 2))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 v 4) (pow.f64 e 2))) e)) (pow.f64 e 2))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (.f64 1/720 (.f64 (pow.f64 v 6) (pow.f64 e 2))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 v 4) (pow.f64 e 2))) e))) (pow.f64 e 2))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))

Outputs
(*.f64 v (-.f64 e (pow.f64 e 2)))
(.f64 v (-.f64 e (.f64 e e)))
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2))))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (-.f64 e (.f64 e e)) (.f64 (.f64 e e) 1/2)) (.f64 v (-.f64 e (*.f64 e e))))
(fma.f64 v (-.f64 e (.f64 e e)) (.f64 (pow.f64 v 3) (fma.f64 (-.f64 e (.f64 e e)) -1/6 (.f64 e (*.f64 e 1/2)))))
(fma.f64 (pow.f64 v 3) (+.f64 (.f64 e -1/6) (.f64 (.f64 e e) 2/3)) (.f64 v (-.f64 e (*.f64 e e))))
(+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2)))))
(fma.f64 (pow.f64 v 5) (fma.f64 -1/24 (.f64 e e) (fma.f64 -1/12 (.f64 e e) (.f64 (-.f64 e (.f64 e e)) 1/120))) (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (-.f64 e (.f64 e e)) (.f64 (.f64 e e) 1/2)) (.f64 v (-.f64 e (*.f64 e e)))))
(fma.f64 (pow.f64 v 5) (+.f64 (.f64 (-.f64 e (.f64 e e)) 1/120) (.f64 (.f64 e e) -1/8)) (fma.f64 v (-.f64 e (.f64 e e)) (.f64 (pow.f64 v 3) (fma.f64 (-.f64 e (.f64 e e)) -1/6 (.f64 e (*.f64 e 1/2))))))
(fma.f64 (pow.f64 v 3) (fma.f64 (-.f64 e (.f64 e e)) -1/6 (.f64 e (.f64 e 1/2))) (fma.f64 (pow.f64 v 5) (fma.f64 (-.f64 e (.f64 e e)) 1/120 (.f64 e (.f64 e -1/8))) (.f64 v (-.f64 e (.f64 e e)))))
(fma.f64 (pow.f64 v 3) (+.f64 (.f64 e -1/6) (.f64 (.f64 e e) 2/3)) (fma.f64 (pow.f64 v 5) (+.f64 (.f64 e 1/120) (.f64 (.f64 e e) -2/15)) (.f64 v (-.f64 e (.f64 e e)))))
(+.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 1/240 (pow.f64 e 2)) (+.f64 (.f64 1/720 (pow.f64 e 2)) (+.f64 (.f64 1/144 (pow.f64 e 2)) (.f64 -1/5040 (-.f64 e (pow.f64 e 2))))))) (+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))))
(fma.f64 (pow.f64 v 7) (fma.f64 1/240 (.f64 e e) (fma.f64 1/720 (.f64 e e) (fma.f64 1/144 (.f64 e e) (.f64 (-.f64 e (.f64 e e)) -1/5040)))) (fma.f64 (pow.f64 v 5) (fma.f64 -1/24 (.f64 e e) (fma.f64 -1/12 (.f64 e e) (.f64 (-.f64 e (.f64 e e)) 1/120))) (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (-.f64 e (.f64 e e)) (.f64 (.f64 e e) 1/2)) (.f64 v (-.f64 e (.f64 e e))))))
(fma.f64 (pow.f64 v 7) (+.f64 (fma.f64 (.f64 e e) 1/144 (.f64 (-.f64 e (.f64 e e)) -1/5040)) (.f64 (.f64 e e) 1/180)) (fma.f64 (pow.f64 v 5) (+.f64 (.f64 (-.f64 e (.f64 e e)) 1/120) (.f64 (.f64 e e) -1/8)) (fma.f64 v (-.f64 e (.f64 e e)) (.f64 (pow.f64 v 3) (fma.f64 (-.f64 e (.f64 e e)) -1/6 (.f64 e (.f64 e 1/2)))))))
(fma.f64 (pow.f64 v 7) (+.f64 (.f64 (-.f64 e (.f64 e e)) -1/5040) (.f64 (.f64 e e) 1/80)) (fma.f64 (pow.f64 v 3) (fma.f64 (-.f64 e (.f64 e e)) -1/6 (.f64 e (.f64 e 1/2))) (fma.f64 (pow.f64 v 5) (fma.f64 (-.f64 e (.f64 e e)) 1/120 (.f64 e (.f64 e -1/8))) (.f64 v (-.f64 e (.f64 e e))))))
(fma.f64 (pow.f64 v 7) (+.f64 (.f64 (-.f64 e (.f64 e e)) -1/5040) (.f64 (.f64 e e) 1/80)) (fma.f64 (pow.f64 v 3) (+.f64 (.f64 e -1/6) (.f64 (.f64 e e) 2/3)) (fma.f64 (pow.f64 v 5) (+.f64 (.f64 e 1/120) (.f64 (.f64 e e) -2/15)) (.f64 v (-.f64 e (.f64 e e))))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(*.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))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(neg.f64 (.f64 (sin.f64 v) (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (.f64 (sin.f64 v) (cos.f64 v)) (*.f64 e (neg.f64 e)))
(.f64 (cos.f64 v) (.f64 (*.f64 e e) (neg.f64 (sin.f64 v))))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (neg.f64 (*.f64 e e))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(neg.f64 (.f64 (sin.f64 v) (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (.f64 (sin.f64 v) (cos.f64 v)) (*.f64 e (neg.f64 e)))
(.f64 (cos.f64 v) (.f64 (*.f64 e e) (neg.f64 (sin.f64 v))))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (neg.f64 (*.f64 e e))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (*.f64 e e) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(pow.f64 e 2)
(*.f64 e e)
(+.f64 (pow.f64 e 2) (.f64 -1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))))
(+.f64 (.f64 e e) (.f64 -1/2 (.f64 (.f64 e e) (*.f64 v v))))
(.f64 (+.f64 (.f64 -1/2 (.f64 v v)) 1) (.f64 e e))
(.f64 (.f64 e e) (fma.f64 -1/2 (*.f64 v v) 1))
(.f64 e (.f64 (fma.f64 -1/2 (*.f64 v v) 1) e))
(+.f64 (pow.f64 e 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))) (.f64 1/24 (.f64 (pow.f64 v 4) (pow.f64 e 2)))))
(+.f64 (.f64 e e) (fma.f64 -1/2 (.f64 (.f64 e e) (.f64 v v)) (.f64 (.f64 1/24 (pow.f64 v 4)) (*.f64 e e))))
(fma.f64 e e (.f64 (.f64 e e) (+.f64 (.f64 -1/2 (.f64 v v)) (*.f64 1/24 (pow.f64 v 4)))))
(.f64 (.f64 e e) (+.f64 (fma.f64 -1/2 (.f64 v v) 1) (.f64 1/24 (pow.f64 v 4))))
(.f64 e (+.f64 e (.f64 e (fma.f64 -1/2 (.f64 v v) (.f64 1/24 (pow.f64 v 4))))))
(+.f64 (pow.f64 e 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 v 6) (pow.f64 e 2))) (.f64 1/24 (.f64 (pow.f64 v 4) (pow.f64 e 2))))))
(+.f64 (.f64 e e) (fma.f64 -1/2 (.f64 (.f64 e e) (.f64 v v)) (fma.f64 -1/720 (.f64 (.f64 e e) (pow.f64 v 6)) (.f64 (.f64 1/24 (pow.f64 v 4)) (*.f64 e e)))))
(fma.f64 e e (fma.f64 -1/2 (.f64 e (.f64 e (.f64 v v))) (.f64 (.f64 e e) (+.f64 (.f64 -1/720 (pow.f64 v 6)) (*.f64 1/24 (pow.f64 v 4))))))
(fma.f64 e e (.f64 (.f64 e e) (+.f64 (fma.f64 -1/2 (.f64 v v) (.f64 1/24 (pow.f64 v 4))) (*.f64 -1/720 (pow.f64 v 6)))))
(.f64 (.f64 e e) (+.f64 (fma.f64 -1/2 (.f64 v v) 1) (fma.f64 1/24 (pow.f64 v 4) (.f64 -1/720 (pow.f64 v 6)))))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(.f64 (.f64 e e) (cos.f64 v))
(.f64 e (.f64 e (cos.f64 v)))
e
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(neg.f64 (.f64 (.f64 e e) (cos.f64 v)))
(.f64 (.f64 e e) (neg.f64 (cos.f64 v)))
(.f64 (cos.f64 v) (neg.f64 (.f64 e e)))
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(neg.f64 (.f64 (.f64 e e) (cos.f64 v)))
(.f64 (.f64 e e) (neg.f64 (cos.f64 v)))
(.f64 (cos.f64 v) (neg.f64 (.f64 e e)))
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(+.f64 (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(-.f64 e (pow.f64 e 2))
(-.f64 e (*.f64 e e))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))) e) (pow.f64 e 2))
(-.f64 (fma.f64 1/2 (.f64 (.f64 e e) (.f64 v v)) e) (.f64 e e))
(-.f64 (fma.f64 1/2 (.f64 e (.f64 e (.f64 v v))) e) (.f64 e e))
(+.f64 e (.f64 (.f64 e e) (+.f64 (.f64 v (.f64 v 1/2)) -1)))
(-.f64 e (.f64 e (.f64 (fma.f64 -1/2 (*.f64 v v) 1) e)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 v 4) (pow.f64 e 2))) e)) (pow.f64 e 2))
(-.f64 (fma.f64 1/2 (.f64 (.f64 e e) (.f64 v v)) (fma.f64 -1/24 (.f64 (.f64 e e) (pow.f64 v 4)) e)) (.f64 e e))
(+.f64 (.f64 (.f64 e e) (+.f64 (.f64 1/2 (.f64 v v)) (.f64 -1/24 (pow.f64 v 4)))) (-.f64 e (.f64 e e)))
(-.f64 (fma.f64 (.f64 e e) (fma.f64 1/2 (.f64 v v) (.f64 -1/24 (pow.f64 v 4))) e) (.f64 e e))
(+.f64 e (.f64 (.f64 e e) (+.f64 -1 (fma.f64 1/2 (.f64 v v) (.f64 -1/24 (pow.f64 v 4))))))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (.f64 1/720 (.f64 (pow.f64 v 6) (pow.f64 e 2))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 v 4) (pow.f64 e 2))) e))) (pow.f64 e 2))
(-.f64 (fma.f64 1/2 (.f64 (.f64 e e) (.f64 v v)) (fma.f64 1/720 (.f64 (.f64 e e) (pow.f64 v 6)) (fma.f64 -1/24 (.f64 (.f64 e e) (pow.f64 v 4)) e))) (.f64 e e))
(+.f64 (.f64 (.f64 e e) (+.f64 (.f64 1/2 (.f64 v v)) (.f64 1/720 (pow.f64 v 6)))) (-.f64 (fma.f64 -1/24 (.f64 e (.f64 e (pow.f64 v 4))) e) (.f64 e e)))
(+.f64 (.f64 (.f64 e e) (+.f64 (fma.f64 (.f64 v 1/2) v (.f64 1/720 (pow.f64 v 6))) (.f64 -1/24 (pow.f64 v 4)))) (-.f64 e (.f64 e e)))
(+.f64 e (.f64 (.f64 e e) (+.f64 -1 (+.f64 (.f64 -1/24 (pow.f64 v 4)) (fma.f64 (.f64 v 1/2) v (*.f64 1/720 (pow.f64 v 6)))))))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (.f64 (.f64 e e) (cos.f64 v)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
	0.1b	(*.f64 (sin.f64 v) e)
	0.0b	(sin.f64 v)
	0.0b	(fma.f64 e (cos.f64 v) 1)
	0.0b	(sin.f64 v)
✓	0.1b	(*.f64 (sin.f64 v) e)
✓	0.2b	(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
✓	0.4b	(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e)))

series8.0ms (0.1%)

Counts

3 → 52

Calls

18 calls:

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

rewrite74.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
426×	`exp-prod_binary64`
320×	`pow-prod-down_binary64`
267×	`pow2_binary64`
190×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	206	36
2	2721	36

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

785×	`fma-def_binary64`
509×	`unswap-sqr_binary64`
459×	`associate-l_binary64`
438×	`associate-r_binary64`
282×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1646
1	430	1551
2	1451	1468
3	6783	1450

Stop Event

1×	node limit

Counts

213 → 206

Calls

Call 1

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

Outputs
(*.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))
(fma.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e e))) (.f64 (sin.f64 v) e))
(fma.f64 (sin.f64 v) e (.f64 (.f64 e (*.f64 e (cos.f64 v))) (neg.f64 (sin.f64 v))))
(.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 (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 e (*.f64 e (cos.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 (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 e (.f64 e (cos.f64 v))) (.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 (sin.f64 v) (neg.f64 (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 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.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) (pow.f64 (cos.f64 v) 3)) (*.f64 e e)))
(+.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 (sin.f64 v) (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (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 (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 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (*.f64 e e)) (-.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) (pow.f64 (cos.f64 v) 4)) (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)))
(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 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.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) (pow.f64 (cos.f64 v) 3)) (*.f64 e e)))
(+.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 (sin.f64 v) (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (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 (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 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (*.f64 e e)) (-.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) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(+.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 e (/.f64 (pow.f64 (+.f64 e 1) 2) 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 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (.f64 e (/.f64 v (+.f64 e 1))))
(+.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 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2)) (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 (.f64 e 1/120) (+.f64 e 1)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2)) (+.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 5) (-.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (/.f64 -1/24 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (+.f64 e 1)) (.f64 e -1/2))) (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (.f64 e (/.f64 v (+.f64 e 1)))))
(fma.f64 (pow.f64 v 5) (+.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (/.f64 -1/24 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (.f64 (-.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e))) (/.f64 -1/2 (pow.f64 (/.f64 (+.f64 e 1) e) 3))) 1/2)) (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (*.f64 e (/.f64 v (+.f64 e 1)))))
(+.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 -1/5040) (+.f64 e 1)) (fma.f64 1/24 (.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2)) (+.f64 e 1)) e) (fma.f64 -1/2 (.f64 (/.f64 (-.f64 (/.f64 (.f64 e 1/120) (+.f64 e 1)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2)) (+.f64 e 1)) e) (/.f64 (.f64 (.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))) (+.f64 e 1)) e) (.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) -1/720)))) (.f64 (pow.f64 v 5) (-.f64 (/.f64 (.f64 e 1/120) (+.f64 e 1)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2)) (+.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 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2)) (.f64 (/.f64 v (+.f64 e 1)) e)))
(fma.f64 (/.f64 v (+.f64 e 1)) e (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (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 -1/24 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (+.f64 e 1)) (.f64 e -1/2)))) (fma.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/720 (.f64 1/24 (.f64 e (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (+.f64 e 1))))))) (.f64 (pow.f64 v 5) (-.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (/.f64 -1/24 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (+.f64 e 1)) (.f64 e -1/2)))))))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (fma.f64 (pow.f64 v 5) (+.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (/.f64 -1/24 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (.f64 (-.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e))) (/.f64 -1/2 (pow.f64 (/.f64 (+.f64 e 1) 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 -1/24 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (.f64 (-.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e))) (/.f64 -1/2 (pow.f64 (/.f64 (+.f64 e 1) e) 3))) 1/2))) (fma.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/720 (.f64 1/24 (-.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e))) (/.f64 -1/2 (pow.f64 (/.f64 (+.f64 e 1) e) 3))))))) (*.f64 e (/.f64 v (+.f64 e 1))))))
(/.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 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.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 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.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 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.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 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.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 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.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 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.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 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.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 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.f64 1 (*.f64 (sin.f64 v) e))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(/.f64 (cos.f64 v) (sin.f64 v))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(/.f64 (cos.f64 v) (sin.f64 v))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (/.f64 (+.f64 e 1) v) e)
(+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))))
(+.f64 (/.f64 1 v) (+.f64 (/.f64 (/.f64 1 v) e) (neg.f64 (.f64 v (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 e 1) e)))))))
(+.f64 (/.f64 1 v) (-.f64 (/.f64 1 (.f64 v e)) (.f64 v (fma.f64 -1/6 (/.f64 (+.f64 e 1) e) 1/2))))
(+.f64 (/.f64 1 v) (fma.f64 v (fma.f64 -1 (/.f64 (fma.f64 e -1/6 -1/6) e) -1/2) (/.f64 (/.f64 1 v) e)))
(+.f64 (/.f64 1 v) (fma.f64 v (-.f64 -1/2 (/.f64 (fma.f64 e -1/6 -1/6) e)) (/.f64 (/.f64 1 v) e)))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 1/24 (+.f64 (.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (.f64 1/120 (/.f64 (+.f64 1 e) e))))) (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(fma.f64 (pow.f64 v 3) (-.f64 1/24 (fma.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 e 1) e))) (.f64 1/120 (/.f64 (+.f64 e 1) e)))) (+.f64 (/.f64 1 v) (+.f64 (/.f64 (/.f64 1 v) e) (neg.f64 (.f64 v (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 e 1) e))))))))
(+.f64 (-.f64 (/.f64 1 (.f64 v e)) (.f64 v (fma.f64 -1/6 (/.f64 (+.f64 e 1) e) 1/2))) (fma.f64 (pow.f64 v 3) (+.f64 (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -1/36)) (.f64 -1/120 (/.f64 (+.f64 e 1) e))) (/.f64 1 v)))
(+.f64 (/.f64 1 v) (fma.f64 (pow.f64 v 3) (-.f64 -1/24 (*.f64 (/.f64 (+.f64 e 1) e) -7/360)) (fma.f64 v (fma.f64 -1 (/.f64 (fma.f64 e -1/6 -1/6) e) -1/2) (/.f64 (/.f64 1 v) e))))
(+.f64 (/.f64 1 v) (fma.f64 (pow.f64 v 3) (-.f64 -1/24 (*.f64 (/.f64 (+.f64 e 1) e) -7/360)) (fma.f64 v (-.f64 -1/2 (/.f64 (fma.f64 e -1/6 -1/6) e)) (/.f64 (/.f64 1 v) e))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 1/24 (+.f64 (.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (.f64 1/120 (/.f64 (+.f64 1 e) e))))) (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (+.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)) (.f64 -1 (.f64 (+.f64 1/720 (+.f64 (.f64 -1/6 (-.f64 1/24 (+.f64 (.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (.f64 1/120 (/.f64 (+.f64 1 e) e))))) (+.f64 (.f64 -1/120 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (*.f64 -1/5040 (/.f64 (+.f64 1 e) e))))) (pow.f64 v 5)))))))
(fma.f64 (pow.f64 v 3) (-.f64 1/24 (fma.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 e 1) e))) (.f64 1/120 (/.f64 (+.f64 e 1) e)))) (+.f64 (/.f64 1 v) (+.f64 (/.f64 (/.f64 1 v) e) (fma.f64 -1 (.f64 v (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 e 1) e)))) (neg.f64 (.f64 (pow.f64 v 5) (+.f64 1/720 (fma.f64 -1/6 (-.f64 1/24 (fma.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 e 1) e))) (.f64 1/120 (/.f64 (+.f64 e 1) e)))) (fma.f64 -1/120 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 e 1) e))) (*.f64 -1/5040 (/.f64 (+.f64 e 1) e)))))))))))
(+.f64 (fma.f64 -1 (fma.f64 v (fma.f64 -1/6 (/.f64 (+.f64 e 1) e) 1/2) (.f64 (pow.f64 v 5) (+.f64 1/720 (fma.f64 -1/6 (+.f64 (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -1/36)) (.f64 -1/120 (/.f64 (+.f64 e 1) e))) (fma.f64 -1/5040 (/.f64 (+.f64 e 1) e) (+.f64 -1/240 (.f64 (/.f64 (+.f64 e 1) e) 1/720))))))) (/.f64 1 (.f64 v e))) (fma.f64 (pow.f64 v 3) (+.f64 (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -1/36)) (*.f64 -1/120 (/.f64 (+.f64 e 1) e))) (/.f64 1 v)))
(+.f64 (/.f64 (/.f64 1 v) e) (-.f64 (fma.f64 (pow.f64 v 3) (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -7/360)) (/.f64 1 v)) (fma.f64 v (+.f64 1/2 (/.f64 (fma.f64 e -1/6 -1/6) e)) (.f64 (pow.f64 v 5) (fma.f64 -1/6 (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -7/360)) (+.f64 -1/360 (.f64 (/.f64 (+.f64 e 1) e) 1/840)))))))
(+.f64 (fma.f64 (pow.f64 v 5) (neg.f64 (fma.f64 -1/6 (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -7/360)) (+.f64 -1/360 (.f64 (/.f64 (+.f64 e 1) e) 1/840)))) (fma.f64 v (-.f64 -1/2 (/.f64 (fma.f64 e -1/6 -1/6) e)) (/.f64 (/.f64 1 v) e))) (fma.f64 (pow.f64 v 3) (-.f64 -1/24 (*.f64 (/.f64 (+.f64 e 1) e) -7/360)) (/.f64 1 v)))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (.f64 v e))
(.f64 e (+.f64 v (.f64 (pow.f64 v 3) -1/6)))
(*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (*.f64 v e)))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (.f64 e (+.f64 v (*.f64 (pow.f64 v 5) 1/120))))
(.f64 e (+.f64 (fma.f64 (pow.f64 v 3) -1/6 v) (.f64 (pow.f64 v 5) 1/120)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (fma.f64 v e (.f64 -1/5040 (.f64 e (pow.f64 v 7))))))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (.f64 e (+.f64 (.f64 (pow.f64 v 7) -1/5040) v))))
(.f64 e (+.f64 (fma.f64 (pow.f64 v 7) -1/5040 v) (fma.f64 (pow.f64 v 3) -1/6 (.f64 (pow.f64 v 5) 1/120))))

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(exp.f64 (sin.f64 v))
	0.0b	(/.f64 e (fma.f64 e (cos.f64 v) 1))
	0.0b	(sin.f64 v)
	0.0b	(fma.f64 e (cos.f64 v) 1)
	0.0b	(/.f64 e (fma.f64 e (cos.f64 v) 1))
✓	0.1b	(exp.f64 (sin.f64 v))
✓	0.1b	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
✓	5.1b	(log.f64 (exp.f64 (sin.f64 v)))

series4.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
0.0ms	v	@	0	(log.f64 (exp.f64 (sin.f64 v)))
0.0ms	v	@	inf	(exp.f64 (sin.f64 v))
0.0ms	v	@	0	(exp.f64 (sin.f64 v))
0.0ms	e	@	-inf	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) (/.f64 e (fma.f64 e (cos.f64 v) 1)))

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`pow1_binary64`
908×	`add-log-exp_binary64`
908×	`log1p-expm1-u_binary64`
908×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	201	23
2	2421	23

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
569×	`fma-def_binary64`
471×	`unswap-sqr_binary64`
380×	`associate-l_binary64`
362×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1103
1	328	1052
2	1031	1028
3	4669	971

Stop Event

1×	node limit

Counts

101 → 98

Calls

Call 1

Inputs
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)
(/.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)))))
1
(+.f64 v 1)
(+.f64 v (+.f64 1 (*.f64 1/2 (pow.f64 v 2))))
(+.f64 v (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 v 2)) (.f64 -1/8 (pow.f64 v 4)))))

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

eval320.0ms (5.1%)

Compiler: Compiled 19434 to 8706 computations (55.2% saved)

prune168.0ms (2.7%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	858	21	879
Fresh	7	2	9
Picked	1	0	1
Done	2	3	5
Total	868	26	894

Error

0.0b

Counts

894 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	28.1b	(.f64 v (.f64 e (/.f64 1 (+.f64 e 1))))
▶	28.5b	(*.f64 v e)
	48.1b	(-.f64 (+.f64 1 (*.f64 (/.f64 v (+.f64 e 1)) e)) 1)
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
▶	0.5b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 e) (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)))
	1.4b	(pow.f64 (cbrt.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (*.f64 e e))))) 3)
	19.6b	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) (pow.f64 (sqrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 2))
	0.3b	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
	27.6b	(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
✓	28.1b	(/.f64 (*.f64 v e) (+.f64 1 e))
▶	28.4b	(/.f64 1 (/.f64 (/.f64 (+.f64 e 1) v) e))
	0.7b	(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))
	28.3b	(.f64 v (-.f64 e (.f64 e e)))
	20.0b	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) e)
	28.3b	(/.f64 1 (/.f64 (+.f64 1 e) (*.f64 v e)))
	62.5b	(-.f64 v (/.f64 v e))
	0.4b	(fma.f64 (sin.f64 v) e (.f64 (sin.f64 v) (.f64 (neg.f64 (*.f64 e e)) (cos.f64 v))))
▶	0.2b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
	61.1b	v
▶	1.2b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
	19.5b	(*.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
	33.6b	(/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))) 2))
✓	0.4b	(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
	28.1b	(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
	1.0b	(*.f64 (sin.f64 v) e)
	0.7b	(.f64 (sin.f64 v) (pow.f64 (sqrt.f64 (-.f64 e (.f64 (cos.f64 v) (*.f64 e e)))) 2))

Compiler

Compiled 592 to 417 computations (29.6% saved)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
	0.1b	(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
	0.0b	(sin.f64 v)
	0.0b	(fma.f64 e (cos.f64 v) 1)
	0.0b	(fma.f64 e (cos.f64 v) 1)
	0.0b	(sin.f64 v)
✓	0.1b	(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
✓	0.2b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`log-prod_binary64`
396×	`exp-prod_binary64`
306×	`prod-exp_binary64`
266×	`pow-prod-down_binary64`
248×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	184	27
2	2479	27

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

901×	`fma-neg_binary64`
564×	`fma-def_binary64`
449×	`unswap-sqr_binary64`
408×	`associate-l_binary64`
384×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1526
1	386	1447
2	1231	1385
3	5773	1363

Stop Event

1×	node limit

Counts

164 → 155

Calls

Call 1

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

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

localize4.0ms (0.1%)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1 (/.f64 (/.f64 (+.f64 e 1) v) e))
	0.2b	(/.f64 (/.f64 (+.f64 e 1) v) e)
	0.0b	(/.f64 (+.f64 e 1) v)
✓	0.0b	(/.f64 (+.f64 e 1) v)
✓	0.2b	(/.f64 (/.f64 (+.f64 e 1) v) e)
✓	0.4b	(/.f64 1 (/.f64 (/.f64 (+.f64 e 1) v) e))

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

485×	`log-prod_binary64`
375×	`exp-prod_binary64`
310×	`pow-prod-down_binary64`
235×	`pow2_binary64`
198×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	184	27
2	2744	27

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

734×	`fma-def_binary64`
463×	`times-frac_binary64`
428×	`distribute-lft-out--_binary64`
376×	`distribute-rgt-neg-in_binary64`
330×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	734
1	110	722
2	272	712
3	974	695
4	4155	688

Stop Event

1×	node limit

Counts

253 → 208

Calls

Call 1

Inputs
(*.f64 v e)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (.f64 v (pow.f64 e 3))))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (+.f64 (.f64 v (pow.f64 e 3)) (.f64 -1 (.f64 v (pow.f64 e 4))))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 1 (*.f64 v e))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(/.f64 1 v)
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 1 v)
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 1 v)
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 e v) (/.f64 1 v))
(/.f64 e v)
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(/.f64 e v)
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)

Outputs
(*.f64 v e)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(fma.f64 v e (neg.f64 (.f64 v (.f64 e e))))
(-.f64 (.f64 v e) (.f64 v (*.f64 e e)))
(.f64 e (-.f64 v (.f64 v e)))
(.f64 v (-.f64 e (.f64 e e)))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (.f64 v (pow.f64 e 3))))
(fma.f64 v e (fma.f64 -1 (.f64 v (.f64 e e)) (*.f64 v (pow.f64 e 3))))
(fma.f64 v e (fma.f64 (neg.f64 v) (.f64 e e) (.f64 v (pow.f64 e 3))))
(fma.f64 v e (.f64 v (-.f64 (pow.f64 e 3) (.f64 e e))))
(.f64 (.f64 v e) (-.f64 (fma.f64 e e 1) e))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (+.f64 (.f64 v (pow.f64 e 3)) (.f64 -1 (.f64 v (pow.f64 e 4))))))
(fma.f64 v e (fma.f64 -1 (.f64 v (.f64 e e)) (fma.f64 v (pow.f64 e 3) (neg.f64 (*.f64 v (pow.f64 e 4))))))
(fma.f64 v e (-.f64 (fma.f64 (neg.f64 v) (.f64 e e) (.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 4))))
(+.f64 (.f64 v (-.f64 (pow.f64 e 3) (pow.f64 e 4))) (.f64 e (-.f64 v (*.f64 v e))))
(.f64 (-.f64 e (.f64 e e)) (*.f64 (fma.f64 e e 1) v))
(.f64 (-.f64 v (.f64 v e)) (+.f64 e (pow.f64 e 3)))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))))
(+.f64 v (-.f64 (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v (pow.f64 e 3))) (/.f64 v e)))
(-.f64 (.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 v (.f64 e e))) (-.f64 (/.f64 v e) v))
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)))
(.f64 (+.f64 1 (/.f64 -1 e)) (+.f64 v (/.f64 v (.f64 e e))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))))
(+.f64 v (-.f64 (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v (pow.f64 e 3))) (/.f64 v e)))
(-.f64 (.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 v (.f64 e e))) (-.f64 (/.f64 v e) v))
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)))
(.f64 (+.f64 1 (/.f64 -1 e)) (+.f64 v (/.f64 v (.f64 e e))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 1 (*.f64 v e))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 1 v)
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 1 v)
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 1 v)
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(/.f64 e v)
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(/.f64 e v)
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)

localize6.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
	0.2b	(/.f64 1 (*.f64 (sin.f64 v) e))
	0.1b	(*.f64 (sin.f64 v) e)
	0.0b	(sin.f64 v)
	0.0b	(sin.f64 v)
	0.1b	(*.f64 (sin.f64 v) e)
✓	0.2b	(/.f64 1 (*.f64 (sin.f64 v) e))
✓	0.4b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))

series6.0ms (0.1%)

Counts

2 → 28

Calls

12 calls:

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

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`pow1_binary64`
611×	`add-log-exp_binary64`
611×	`log1p-expm1-u_binary64`
611×	`expm1-log1p-u_binary64`
596×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	165	15
2	1775	15

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1733×	`fma-def_binary64`
708×	`times-frac_binary64`
407×	`associate-*l/_binary64`
406×	`associate-/r/_binary64`
388×	`unswap-sqr_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	44	279
1	117	274
2	298	261
3	791	259
4	2003	259
5	2649	259
6	4179	259
7	6294	259
8	6552	259
9	6736	251

Stop Event

1×	node limit

Counts

84 → 70

Calls

Call 1

Inputs
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 1 (*.f64 v e))
(+.f64 (.f64 1/6 (/.f64 v e)) (/.f64 1 (.f64 v e)))
(+.f64 (.f64 1/6 (/.f64 v e)) (+.f64 (/.f64 1 (.f64 v e)) (*.f64 7/360 (/.f64 (pow.f64 v 3) e))))
(+.f64 (.f64 1/6 (/.f64 v e)) (+.f64 (/.f64 1 (.f64 v e)) (+.f64 (.f64 31/15120 (/.f64 (pow.f64 v 5) e)) (.f64 7/360 (/.f64 (pow.f64 v 3) e)))))

Outputs
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (.f64 v e))
(.f64 e (+.f64 (.f64 -1/6 (pow.f64 v 3)) v))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (*.f64 v e)))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (.f64 e (+.f64 v (*.f64 1/120 (pow.f64 v 5)))))
(.f64 e (+.f64 (.f64 1/120 (pow.f64 v 5)) (fma.f64 -1/6 (pow.f64 v 3) v)))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (fma.f64 v e (.f64 -1/5040 (.f64 e (pow.f64 v 7))))))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (.f64 e (+.f64 v (.f64 -1/5040 (pow.f64 v 7))))))
(.f64 e (+.f64 (fma.f64 -1/5040 (pow.f64 v 7) v) (fma.f64 -1/6 (pow.f64 v 3) (.f64 1/120 (pow.f64 v 5)))))
(.f64 e (+.f64 (.f64 -1/6 (pow.f64 v 3)) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v))))
(.f64 e (+.f64 (.f64 -1/6 (pow.f64 v 3)) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 1/120 (pow.f64 v 5) v))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 1/120 (pow.f64 v 5) v))))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(/.f64 1 (*.f64 v e))
(+.f64 (.f64 1/6 (/.f64 v e)) (/.f64 1 (.f64 v e)))
(fma.f64 1/6 (/.f64 v e) (/.f64 1 (*.f64 v e)))
(fma.f64 v (/.f64 1/6 e) (/.f64 1 (*.f64 v e)))
(+.f64 (.f64 1/6 (/.f64 v e)) (+.f64 (/.f64 1 (.f64 v e)) (*.f64 7/360 (/.f64 (pow.f64 v 3) e))))
(+.f64 (fma.f64 1/6 (/.f64 v e) (/.f64 1 (.f64 v e))) (.f64 7/360 (/.f64 (pow.f64 v 3) e)))
(fma.f64 1/6 (/.f64 v e) (fma.f64 7/360 (/.f64 (pow.f64 v 3) e) (/.f64 1 (*.f64 v e))))
(fma.f64 v (/.f64 (fma.f64 7/360 (.f64 v v) 1/6) e) (/.f64 1 (.f64 v e)))
(+.f64 (.f64 1/6 (/.f64 v e)) (+.f64 (/.f64 1 (.f64 v e)) (+.f64 (.f64 31/15120 (/.f64 (pow.f64 v 5) e)) (.f64 7/360 (/.f64 (pow.f64 v 3) e)))))
(+.f64 (fma.f64 1/6 (/.f64 v e) (/.f64 1 (.f64 v e))) (fma.f64 31/15120 (/.f64 (pow.f64 v 5) e) (.f64 7/360 (/.f64 (pow.f64 v 3) e))))
(+.f64 (fma.f64 7/360 (/.f64 (pow.f64 v 3) e) (/.f64 31/15120 (/.f64 e (pow.f64 v 5)))) (fma.f64 1/6 (/.f64 v e) (/.f64 1 (*.f64 v e))))
(fma.f64 1/6 (/.f64 v e) (fma.f64 7/360 (/.f64 (pow.f64 v 3) e) (fma.f64 31/15120 (/.f64 (pow.f64 v 5) e) (/.f64 1 (*.f64 v e)))))
(fma.f64 7/360 (/.f64 (pow.f64 v 3) e) (fma.f64 31/15120 (/.f64 (pow.f64 v 5) e) (fma.f64 1/6 (/.f64 v e) (/.f64 1 (*.f64 v e)))))
(fma.f64 (pow.f64 v 5) (/.f64 31/15120 e) (fma.f64 v (/.f64 (fma.f64 7/360 (.f64 v v) 1/6) e) (/.f64 1 (.f64 v e))))

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (/.f64 1 e) (sin.f64 v))
	0.0b	(*.f64 (/.f64 (/.f64 1 e) (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
	0.0b	(sin.f64 v)
	0.0b	(fma.f64 e (cos.f64 v) 1)
	0.0b	(sin.f64 v)
✓	0.0b	(*.f64 (/.f64 (/.f64 1 e) (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
✓	0.2b	(/.f64 (/.f64 1 e) (sin.f64 v))
✓	0.4b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 e) (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)))

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`log-prod_binary64`
367×	`pow-prod-down_binary64`
297×	`pow2_binary64`
209×	`pow1/3_binary64`
203×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	232	39
2	3098	39

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

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

Outputs

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

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

678×	`fma-def_binary64`
445×	`unswap-sqr_binary64`
404×	`associate-l_binary64`
392×	`associate-r_binary64`
282×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1833
1	427	1739
2	1403	1665
3	6550	1647

Stop Event

1×	node limit

Counts

202 → 175

Calls

Call 1

Inputs
(*.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 (*.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 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 v e))
(+.f64 (.f64 1/6 (/.f64 v e)) (/.f64 1 (.f64 v e)))
(+.f64 (.f64 1/6 (/.f64 v e)) (+.f64 (/.f64 1 (.f64 v e)) (*.f64 7/360 (/.f64 (pow.f64 v 3) e))))
(+.f64 (.f64 1/6 (/.f64 v e)) (+.f64 (/.f64 1 (.f64 v e)) (+.f64 (.f64 31/15120 (/.f64 (pow.f64 v 5) e)) (.f64 7/360 (/.f64 (pow.f64 v 3) e)))))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(/.f64 1 (*.f64 (sin.f64 v) e))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(/.f64 (cos.f64 v) (sin.f64 v))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(/.f64 (cos.f64 v) (sin.f64 v))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(/.f64 (+.f64 1 e) (*.f64 v e))
(+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 1/24 (+.f64 (.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (.f64 1/120 (/.f64 (+.f64 1 e) e))))) (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 1/24 (+.f64 (.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (.f64 1/120 (/.f64 (+.f64 1 e) e))))) (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (+.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)) (.f64 -1 (.f64 (+.f64 1/720 (+.f64 (.f64 -1/6 (-.f64 1/24 (+.f64 (.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (.f64 1/120 (/.f64 (+.f64 1 e) e))))) (+.f64 (.f64 -1/120 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (*.f64 -1/5040 (/.f64 (+.f64 1 e) e))))) (pow.f64 v 5)))))))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))

Outputs
(*.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))
(fma.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e e))) (.f64 (sin.f64 v) e))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (.f64 e e) (.f64 (sin.f64 v) (cos.f64 v))))
(.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 (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 (.f64 e e) (*.f64 (sin.f64 v) (cos.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 (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 e (.f64 e (cos.f64 v))) (.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) (.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 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 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 (sin.f64 v) (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (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 (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 (-.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) (.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (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)))
(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) (.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 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
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(+.f64 (/.f64 1 (*.f64 v e)) (fma.f64 v (fma.f64 -1 (/.f64 (fma.f64 e -1/6 -1/6) e) -1/2) (/.f64 1 v)))
(+.f64 (/.f64 1 (*.f64 v e)) (fma.f64 v (-.f64 -1/2 (/.f64 (fma.f64 e -1/6 -1/6) e)) (/.f64 1 v)))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 1/24 (+.f64 (.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (.f64 1/120 (/.f64 (+.f64 1 e) e))))) (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(fma.f64 (pow.f64 v 3) (-.f64 1/24 (fma.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 e 1) e))) (.f64 1/120 (/.f64 (+.f64 e 1) e)))) (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (neg.f64 (.f64 v (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))))))))
(+.f64 (-.f64 (/.f64 1 (.f64 v e)) (.f64 v (fma.f64 -1/6 (/.f64 (+.f64 e 1) e) 1/2))) (fma.f64 (pow.f64 v 3) (+.f64 (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -1/36)) (.f64 -1/120 (/.f64 (+.f64 e 1) e))) (/.f64 1 v)))
(+.f64 (/.f64 1 v) (fma.f64 (pow.f64 v 3) (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -7/360)) (fma.f64 v (fma.f64 -1 (/.f64 (fma.f64 e -1/6 -1/6) e) -1/2) (/.f64 1 (.f64 v e)))))
(+.f64 (/.f64 1 v) (fma.f64 (pow.f64 v 3) (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -7/360)) (fma.f64 v (-.f64 -1/2 (/.f64 (fma.f64 e -1/6 -1/6) e)) (/.f64 1 (.f64 v e)))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 1/24 (+.f64 (.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (.f64 1/120 (/.f64 (+.f64 1 e) e))))) (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (+.f64 (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)) (.f64 -1 (.f64 (+.f64 1/720 (+.f64 (.f64 -1/6 (-.f64 1/24 (+.f64 (.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (.f64 1/120 (/.f64 (+.f64 1 e) e))))) (+.f64 (.f64 -1/120 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (*.f64 -1/5040 (/.f64 (+.f64 1 e) e))))) (pow.f64 v 5)))))))
(fma.f64 (pow.f64 v 3) (-.f64 1/24 (fma.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 e 1) e))) (.f64 1/120 (/.f64 (+.f64 e 1) e)))) (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (fma.f64 -1 (.f64 v (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 e 1) e)))) (neg.f64 (.f64 (pow.f64 v 5) (+.f64 1/720 (fma.f64 -1/6 (-.f64 1/24 (fma.f64 1/6 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 e 1) e))) (.f64 1/120 (/.f64 (+.f64 e 1) e)))) (fma.f64 -1/120 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 e 1) e))) (.f64 -1/5040 (/.f64 (+.f64 e 1) e)))))))))))
(+.f64 (fma.f64 -1 (fma.f64 v (fma.f64 -1/6 (/.f64 (+.f64 e 1) e) 1/2) (.f64 (pow.f64 v 5) (+.f64 1/720 (fma.f64 -1/6 (+.f64 (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -1/36)) (.f64 -1/120 (/.f64 (+.f64 e 1) e))) (fma.f64 -1/5040 (/.f64 (+.f64 e 1) e) (+.f64 -1/240 (.f64 (/.f64 (+.f64 e 1) e) 1/720))))))) (/.f64 1 (.f64 v e))) (fma.f64 (pow.f64 v 3) (+.f64 (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -1/36)) (*.f64 -1/120 (/.f64 (+.f64 e 1) e))) (/.f64 1 v)))
(+.f64 (/.f64 1 (.f64 v e)) (-.f64 (fma.f64 (pow.f64 v 3) (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -7/360)) (/.f64 1 v)) (fma.f64 (pow.f64 v 5) (fma.f64 -1/6 (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -7/360)) (+.f64 -1/360 (.f64 (/.f64 (+.f64 e 1) e) 1/840))) (*.f64 v (fma.f64 -1/6 (/.f64 (+.f64 e 1) e) 1/2)))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -7/360)) (fma.f64 v (-.f64 -1/2 (/.f64 (fma.f64 e -1/6 -1/6) e)) (/.f64 1 (.f64 v e)))) (fma.f64 (fma.f64 -1/6 (-.f64 -1/24 (.f64 (/.f64 (+.f64 e 1) e) -7/360)) (+.f64 -1/360 (.f64 (/.f64 (+.f64 e 1) e) 1/840))) (neg.f64 (pow.f64 v 5)) (/.f64 1 v)))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))

eval248.0ms (4%)

Compiler: Compiled 12483 to 7290 computations (41.6% saved)

prune125.0ms (2%)

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	726	19	745
Fresh	12	6	18
Picked	1	0	1
Done	2	5	7
Total	741	30	771

Error

Counts

771 → 30

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
	1.3b	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))
✓	0.4b	(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
	28.1b	(/.f64 e (/.f64 (+.f64 1 e) v))
	1.9b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
	48.1b	(-.f64 (+.f64 1 (*.f64 (/.f64 v (+.f64 e 1)) e)) 1)
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	1.0b	(*.f64 (sin.f64 v) e)
	26.0b	(/.f64 1 (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) -1/2) 2))
	28.8b	(/.f64 1 (/.f64 1 (*.f64 v e)))
▶	20.0b	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) e)
✓	28.4b	(/.f64 1 (/.f64 (/.f64 (+.f64 e 1) v) e))
	28.3b	(.f64 v (-.f64 e (.f64 e e)))
▶	62.5b	(-.f64 v (/.f64 v e))
	1.4b	(/.f64 1 (/.f64 1 (/.f64 1 (/.f64 (/.f64 1 e) (sin.f64 v)))))
▶	1.1b	(/.f64 e (/.f64 1 (sin.f64 v)))
	33.5b	(/.f64 e (pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 2))
	28.1b	(/.f64 1 (+.f64 (.f64 1/6 (/.f64 v e)) (/.f64 1 (.f64 v e))))
	20.0b	(/.f64 1 (/.f64 1 (*.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) e)))
	27.5b	(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
	28.1b	(.f64 (/.f64 1 (+.f64 1 e)) (.f64 e v))
	1.4b	(/.f64 1 (*.f64 (/.f64 1 (sin.f64 v)) (/.f64 1 e)))
	0.6b	(/.f64 e (/.f64 (+.f64 1 e) (sin.f64 v)))
	27.6b	(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
✓	28.5b	(*.f64 v e)
	28.1b	(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
	28.7b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) -3))
▶	28.4b	(/.f64 1 (*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v)))
	61.1b	v
✓	1.2b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))

Compiler

Compiled 637 to 470 computations (26.2% saved)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`log-prod_binary64`
396×	`exp-prod_binary64`
306×	`prod-exp_binary64`
266×	`pow-prod-down_binary64`
248×	`pow2_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 → 116

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

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
503×	`unswap-sqr_binary64`
495×	`fma-def_binary64`
395×	`associate-l_binary64`
372×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1252
1	324	1187
2	1025	1165
3	4731	1108

Stop Event

1×	node limit

Counts

164 → 154

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

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 v (/.f64 v e))
✓	0.0b	(-.f64 v (/.f64 v e))

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(-.f64 v (/.f64 v e))
1.0ms	v	@	inf	(-.f64 v (/.f64 v e))
0.0ms	e	@	-inf	(-.f64 v (/.f64 v e))
0.0ms	e	@	0	(-.f64 v (/.f64 v e))
0.0ms	v	@	-inf	(-.f64 v (/.f64 v e))

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`pow1_binary64`
678×	`add-log-exp_binary64`
678×	`log1p-expm1-u_binary64`
678×	`expm1-log1p-u_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	116	7
2	1783	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(-.f64 v (/.f64 v e))

Outputs

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

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

141×	`fma-def_binary64`
63×	`fma-neg_binary64`
40×	`distribute-rgt-in_binary64`
34×	`distribute-lft-in_binary64`
23×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	218
1	30	218
2	71	155
3	138	155
4	244	155
5	441	155
6	658	155
7	662	155

Stop Event

1×

saturated

Counts

60 → 43

Calls

Call 1

Inputs
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 -1 (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))

Outputs
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 -1 (/.f64 v e))
(neg.f64 (/.f64 v e))
(/.f64 (neg.f64 v) e)
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1 (*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v)))
	0.3b	(*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v))
	0.0b	(/.f64 (+.f64 1 e) v)
✓	0.0b	(/.f64 (+.f64 1 e) v)
✓	0.3b	(*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v))
✓	0.4b	(/.f64 1 (*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v)))

series5.0ms (0.1%)

Counts

3 → 60

Calls

18 calls:

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

rewrite76.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

523×	`log-prod_binary64`
384×	`pow-prod-down_binary64`
258×	`pow2_binary64`
227×	`log-div_binary64`
182×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	204	27
2	3000	27

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

Inputs
(/.f64 1 (*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v)))
(*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v))
(/.f64 (+.f64 1 e) v)

Outputs

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

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

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

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

733×	`fma-def_binary64`
463×	`times-frac_binary64`
428×	`distribute-lft-out--_binary64`
376×	`distribute-rgt-neg-in_binary64`
330×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	650
1	110	638
2	272	628
3	973	611
4	4154	604

Stop Event

1×	node limit

Counts

215 → 180

Calls

Call 1

Inputs
(*.f64 v e)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (.f64 v (pow.f64 e 3))))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (+.f64 (.f64 v (pow.f64 e 3)) (.f64 -1 (.f64 v (pow.f64 e 4))))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 1 (*.f64 v e))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(/.f64 1 v)
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 1 v)
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 1 v)
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 e v) (/.f64 1 v))
(/.f64 e v)
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(/.f64 e v)
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))

Outputs
(*.f64 v e)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(fma.f64 v e (neg.f64 (.f64 v (.f64 e e))))
(-.f64 (.f64 v e) (.f64 v (*.f64 e e)))
(.f64 e (-.f64 v (.f64 v e)))
(.f64 v (-.f64 e (.f64 e e)))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (.f64 v (pow.f64 e 3))))
(fma.f64 v e (fma.f64 -1 (.f64 v (.f64 e e)) (*.f64 v (pow.f64 e 3))))
(fma.f64 v e (fma.f64 (neg.f64 v) (.f64 e e) (.f64 v (pow.f64 e 3))))
(fma.f64 v (pow.f64 e 3) (.f64 e (-.f64 v (.f64 v e))))
(.f64 (.f64 v e) (-.f64 (fma.f64 e e 1) e))
(.f64 v (.f64 e (-.f64 (fma.f64 e e 1) e)))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (+.f64 (.f64 v (pow.f64 e 3)) (.f64 -1 (.f64 v (pow.f64 e 4))))))
(fma.f64 v e (fma.f64 -1 (.f64 v (.f64 e e)) (fma.f64 v (pow.f64 e 3) (neg.f64 (*.f64 v (pow.f64 e 4))))))
(fma.f64 v e (-.f64 (fma.f64 (neg.f64 v) (.f64 e e) (.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 4))))
(+.f64 (.f64 v (-.f64 (pow.f64 e 3) (pow.f64 e 4))) (.f64 e (-.f64 v (*.f64 v e))))
(.f64 (-.f64 e (.f64 e e)) (fma.f64 v (*.f64 e e) v))
(.f64 (-.f64 v (.f64 v e)) (+.f64 e (pow.f64 e 3)))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))))
(+.f64 v (-.f64 (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v (pow.f64 e 3))) (/.f64 v e)))
(+.f64 v (-.f64 (.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 v (.f64 e e))) (/.f64 v e)))
(+.f64 v (-.f64 (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)) (/.f64 v e)))
(.f64 (+.f64 1 (/.f64 -1 e)) (+.f64 v (/.f64 v (.f64 e e))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))))
(+.f64 v (-.f64 (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v (pow.f64 e 3))) (/.f64 v e)))
(+.f64 v (-.f64 (.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 v (.f64 e e))) (/.f64 v e)))
(+.f64 v (-.f64 (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)) (/.f64 v e)))
(.f64 (+.f64 1 (/.f64 -1 e)) (+.f64 v (/.f64 v (.f64 e e))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 1 (*.f64 v e))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 1 v)
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 1 v)
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 1 v)
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(/.f64 e v)
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(/.f64 e v)
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))

localize5.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.2b	(/.f64 e (/.f64 1 (sin.f64 v)))
	0.1b	(/.f64 1 (sin.f64 v))
	0.0b	(sin.f64 v)
	0.0b	(sin.f64 v)
✓	0.1b	(/.f64 1 (sin.f64 v))
✓	0.2b	(/.f64 e (/.f64 1 (sin.f64 v)))

series4.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`pow1_binary64`
642×	`add-log-exp_binary64`
642×	`log1p-expm1-u_binary64`
642×	`expm1-log1p-u_binary64`
627×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	144	12
2	1804	12

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify97.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1325×	`fma-def_binary64`
711×	`sqr-pow_binary64`
690×	`unswap-sqr_binary64`
605×	`cube-prod_binary64`
377×	`*-commutative_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	40	245
1	106	242
2	276	231
3	807	229
4	1921	229
5	2135	229
6	2342	229
7	2792	229
8	3671	229
9	3814	227
10	4704	227
11	5090	227
12	5686	227
13	6559	227
14	7664	227

Stop Event

1×	node limit

Counts

82 → 68

Calls

Call 1

Inputs
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 1 v)
(+.f64 (*.f64 1/6 v) (/.f64 1 v))
(+.f64 (.f64 7/360 (pow.f64 v 3)) (+.f64 (.f64 1/6 v) (/.f64 1 v)))
(+.f64 (.f64 7/360 (pow.f64 v 3)) (+.f64 (.f64 1/6 v) (+.f64 (*.f64 31/15120 (pow.f64 v 5)) (/.f64 1 v))))

Outputs
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (.f64 v e))
(.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (*.f64 v e)))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (.f64 e (+.f64 v (*.f64 1/120 (pow.f64 v 5)))))
(.f64 e (+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (.f64 1/120 (pow.f64 v 5)))))
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/6 (pow.f64 v 3) v)))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (fma.f64 v e (.f64 -1/5040 (.f64 e (pow.f64 v 7))))))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (.f64 e (+.f64 (.f64 -1/5040 (pow.f64 v 7)) v))))
(.f64 e (+.f64 (fma.f64 -1/5040 (pow.f64 v 7) v) (fma.f64 -1/6 (pow.f64 v 3) (.f64 1/120 (pow.f64 v 5)))))
(.f64 e (+.f64 (.f64 -1/5040 (pow.f64 v 7)) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/6 (pow.f64 v 3) v))))
(.f64 e (+.f64 (.f64 -1/6 (pow.f64 v 3)) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 1/120 (pow.f64 v 5) v))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 1/120 (pow.f64 v 5) v))))
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 -1/6 (pow.f64 v 3) v))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 1 v)
(+.f64 (*.f64 1/6 v) (/.f64 1 v))
(fma.f64 1/6 v (/.f64 1 v))
(fma.f64 v 1/6 (/.f64 1 v))
(+.f64 (.f64 7/360 (pow.f64 v 3)) (+.f64 (.f64 1/6 v) (/.f64 1 v)))
(fma.f64 7/360 (pow.f64 v 3) (fma.f64 1/6 v (/.f64 1 v)))
(fma.f64 (pow.f64 v 3) 7/360 (fma.f64 v 1/6 (/.f64 1 v)))
(fma.f64 v 1/6 (fma.f64 (pow.f64 v 3) 7/360 (/.f64 1 v)))
(fma.f64 v (fma.f64 v (*.f64 v 7/360) 1/6) (/.f64 1 v))
(+.f64 (.f64 7/360 (pow.f64 v 3)) (+.f64 (.f64 1/6 v) (+.f64 (*.f64 31/15120 (pow.f64 v 5)) (/.f64 1 v))))
(fma.f64 7/360 (pow.f64 v 3) (fma.f64 1/6 v (fma.f64 31/15120 (pow.f64 v 5) (/.f64 1 v))))
(fma.f64 (pow.f64 v 3) 7/360 (fma.f64 v 1/6 (fma.f64 (pow.f64 v 5) 31/15120 (/.f64 1 v))))
(fma.f64 v 1/6 (fma.f64 (pow.f64 v 3) 7/360 (fma.f64 (pow.f64 v 5) 31/15120 (/.f64 1 v))))
(fma.f64 (pow.f64 v 5) 31/15120 (fma.f64 v (fma.f64 v (*.f64 v 7/360) 1/6) (/.f64 1 v)))
(fma.f64 v (fma.f64 v (*.f64 v 7/360) 1/6) (fma.f64 (pow.f64 v 5) 31/15120 (/.f64 1 v)))

localize6.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	5.1b	(log.f64 (exp.f64 (sin.f64 v)))
	0.1b	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) e)
	0.1b	(exp.f64 (sin.f64 v))
	0.0b	(sin.f64 v)
	0.0b	(sin.f64 v)
	0.1b	(exp.f64 (sin.f64 v))
✓	0.1b	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) e)
	5.1b	(log.f64 (exp.f64 (sin.f64 v)))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) e)
0.0ms	e	@	-inf	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) e)
0.0ms	v	@	inf	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) e)
0.0ms	e	@	0	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) e)
0.0ms	v	@	-inf	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) e)

rewrite37.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`pow1_binary64`
504×	`add-sqr-sqrt_binary64`
484×	`add-log-exp_binary64`
484×	`log1p-expm1-u_binary64`
484×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	120	6
2	1331	6

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (log.f64 (exp.f64 (sin.f64 v))) e)

Outputs

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

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1155×	`fma-def_binary64`
711×	`sqr-pow_binary64`
690×	`unswap-sqr_binary64`
605×	`cube-prod_binary64`
428×	`fabs-mul_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	196
1	73	193
2	194	182
3	589	180
4	1560	178
5	2410	178
6	2617	178
7	3065	178
8	3944	178
9	4087	178
10	4314	178
11	4796	178
12	5392	178
13	6265	178
14	7370	178

Stop Event

1×	node limit

Counts

35 → 20

Calls

Call 1

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

Outputs
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (.f64 v e))
(.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (*.f64 v e)))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (.f64 e (+.f64 (*.f64 1/120 (pow.f64 v 5)) v)))
(.f64 e (+.f64 (.f64 -1/6 (pow.f64 v 3)) (fma.f64 1/120 (pow.f64 v 5) v)))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (fma.f64 v e (.f64 -1/5040 (.f64 e (pow.f64 v 7))))))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (.f64 e (+.f64 v (.f64 -1/5040 (pow.f64 v 7))))))
(.f64 e (+.f64 (fma.f64 -1/5040 (pow.f64 v 7) v) (fma.f64 -1/6 (pow.f64 v 3) (.f64 1/120 (pow.f64 v 5)))))
(.f64 e (+.f64 (.f64 1/120 (pow.f64 v 5)) (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) v))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v))))
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 -1/6 (pow.f64 v 3) v))))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))

eval182.0ms (2.9%)

Compiler: Compiled 8535 to 4932 computations (42.2% saved)

prune107.0ms (1.7%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	606	13	619
Fresh	9	11	20
Picked	0	1	1
Done	4	5	9
Total	619	30	649

Error

Counts

649 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	28.3b	(.f64 v (-.f64 e (.f64 e e)))
	1.3b	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))
	0.6b	(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
	28.4b	(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 e)) v))
	0.3b	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
	27.9b	(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))
	48.1b	(-.f64 (+.f64 1 (*.f64 (/.f64 v (+.f64 e 1)) e)) 1)
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	28.6b	(/.f64 e (/.f64 1 v))
	25.9b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
	28.8b	(/.f64 1 (/.f64 1 (*.f64 v e)))
✓	20.0b	(*.f64 (log.f64 (exp.f64 (sin.f64 v))) e)
	62.5b	(/.f64 (neg.f64 v) e)
✓	62.5b	(-.f64 v (/.f64 v e))
	1.4b	(/.f64 1 (/.f64 1 (/.f64 1 (/.f64 (/.f64 1 e) (sin.f64 v)))))
✓	1.1b	(/.f64 e (/.f64 1 (sin.f64 v)))
	61.1b	v
	34.3b	(/.f64 e (exp.f64 (neg.f64 (log.f64 (sin.f64 v)))))
	62.5b	(*.f64 v (-.f64 1 (/.f64 1 e)))
	28.1b	(/.f64 1 (+.f64 (.f64 1/6 (/.f64 v e)) (/.f64 1 (.f64 v e))))
	1.1b	(/.f64 (sin.f64 v) (/.f64 1 e))
✓	1.2b	(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
	1.2b	(/.f64 e (-.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) 1))
	28.1b	(/.f64 e (/.f64 (+.f64 1 e) v))
	27.6b	(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
✓	28.5b	(*.f64 v e)
	1.0b	(*.f64 (sin.f64 v) e)
	28.7b	(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) -3))
	20.0b	(/.f64 e (/.f64 1 (-.f64 (+.f64 1 (sin.f64 v)) 1)))
	27.5b	(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))

Compiler

Compiled 318 to 235 computations (26.1% saved)

regimes112.0ms (1.8%)

Counts

69 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(/.f64 e (/.f64 (+.f64 1 e) v))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(.f64 v (-.f64 e (.f64 e e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 e)) v))
(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))
(.f64 (/.f64 1 (+.f64 1 e)) (.f64 e v))
(.f64 v (.f64 e (/.f64 1 (+.f64 e 1))))
(/.f64 1 (/.f64 (/.f64 (+.f64 e 1) v) e))
(/.f64 1 (/.f64 (+.f64 1 e) (*.f64 v e)))
(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
(/.f64 1 (*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v)))
(-.f64 (+.f64 1 (*.f64 (/.f64 v (+.f64 e 1)) e)) 1)
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 v e)) (/.f64 1 (.f64 v e))))
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 e (/.f64 1 (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 1 e) (sin.f64 v)))
(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 1 e)))
(/.f64 e (-.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) 1))
(/.f64 e (/.f64 1 (-.f64 (+.f64 1 (sin.f64 v)) 1)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 v)) (/.f64 1 e)))
(/.f64 1 (/.f64 1 (/.f64 1 (/.f64 (/.f64 1 e) (sin.f64 v)))))
(/.f64 1 (/.f64 1 (*.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) -3))
(*.f64 (log.f64 (exp.f64 (sin.f64 v))) e)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
(/.f64 e (exp.f64 (neg.f64 (log.f64 (sin.f64 v)))))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.f64 1 (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) -1/2) 2))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e)))
(.f64 (.f64 e (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 e) (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)))
(*.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (*.f64 e e))))) 3)
(fma.f64 (sin.f64 v) e (.f64 (sin.f64 v) (.f64 (neg.f64 (*.f64 e e)) (cos.f64 v))))
(.f64 (sin.f64 v) (pow.f64 (sqrt.f64 (-.f64 e (.f64 (cos.f64 v) (*.f64 e e)))) 2))
(/.f64 (pow.f64 (cbrt.f64 (.f64 e (sin.f64 v))) 3) (+.f64 1 (.f64 e (cos.f64 v))))
(*.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
(*.f64 (log.f64 (exp.f64 (sin.f64 v))) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
(/.f64 e (pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 2))
(*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 3) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
(/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))) 2))
(*.f64 (log.f64 (exp.f64 (sin.f64 v))) (pow.f64 (sqrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 2))

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

Calls

3 calls:

31.0ms	v
31.0ms	e
29.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

Results

Error	Segments	Branch
0.1b	1	`e`
0.1b	1	`v`
0.1b	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))`

Compiler

Compiled 707 to 377 computations (46.7% saved)

regimes48.0ms (0.8%)

Counts

41 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(/.f64 e (/.f64 (+.f64 1 e) v))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(.f64 v (-.f64 e (.f64 e e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 e)) v))
(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))
(.f64 (/.f64 1 (+.f64 1 e)) (.f64 e v))
(.f64 v (.f64 e (/.f64 1 (+.f64 e 1))))
(/.f64 1 (/.f64 (/.f64 (+.f64 e 1) v) e))
(/.f64 1 (/.f64 (+.f64 1 e) (*.f64 v e)))
(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
(/.f64 1 (*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v)))
(-.f64 (+.f64 1 (*.f64 (/.f64 v (+.f64 e 1)) e)) 1)
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 v e)) (/.f64 1 (.f64 v e))))
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 e (/.f64 1 (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 1 e) (sin.f64 v)))
(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 1 e)))
(/.f64 e (-.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) 1))
(/.f64 e (/.f64 1 (-.f64 (+.f64 1 (sin.f64 v)) 1)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 v)) (/.f64 1 e)))
(/.f64 1 (/.f64 1 (/.f64 1 (/.f64 (/.f64 1 e) (sin.f64 v)))))
(/.f64 1 (/.f64 1 (*.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))

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

Calls

2 calls:

18.0ms	e
18.0ms	v

Results

Error	Segments	Branch
0.3b	1	`e`
0.3b	1	`v`

Compiler

Compiled 375 to 222 computations (40.8% saved)

regimes46.0ms (0.7%)

Counts

39 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(/.f64 e (/.f64 (+.f64 1 e) v))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(.f64 v (-.f64 e (.f64 e e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 e)) v))
(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))
(.f64 (/.f64 1 (+.f64 1 e)) (.f64 e v))
(.f64 v (.f64 e (/.f64 1 (+.f64 e 1))))
(/.f64 1 (/.f64 (/.f64 (+.f64 e 1) v) e))
(/.f64 1 (/.f64 (+.f64 1 e) (*.f64 v e)))
(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
(/.f64 1 (*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v)))
(-.f64 (+.f64 1 (*.f64 (/.f64 v (+.f64 e 1)) e)) 1)
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 v e)) (/.f64 1 (.f64 v e))))
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 e (/.f64 1 (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 1 e) (sin.f64 v)))
(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 1 e)))
(/.f64 e (-.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) 1))
(/.f64 e (/.f64 1 (-.f64 (+.f64 1 (sin.f64 v)) 1)))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 v)) (/.f64 1 e)))
(/.f64 1 (/.f64 1 (/.f64 1 (/.f64 (/.f64 1 e) (sin.f64 v)))))
(/.f64 1 (/.f64 1 (*.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) e)))

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

Calls

2 calls:

18.0ms	v
17.0ms	e

Results

Error	Segments	Branch
0.5b	1	`e`
0.5b	1	`v`

Compiler

Compiled 355 to 213 computations (40% saved)

regimes41.0ms (0.7%)

Counts

33 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(/.f64 e (/.f64 (+.f64 1 e) v))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(.f64 v (-.f64 e (.f64 e e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 e)) v))
(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))
(.f64 (/.f64 1 (+.f64 1 e)) (.f64 e v))
(.f64 v (.f64 e (/.f64 1 (+.f64 e 1))))
(/.f64 1 (/.f64 (/.f64 (+.f64 e 1) v) e))
(/.f64 1 (/.f64 (+.f64 1 e) (*.f64 v e)))
(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
(/.f64 1 (*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v)))
(-.f64 (+.f64 1 (*.f64 (/.f64 v (+.f64 e 1)) e)) 1)
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 v e)) (/.f64 1 (.f64 v e))))
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 e (/.f64 1 (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 1 e) (sin.f64 v)))
(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))

Outputs
(/.f64 e (/.f64 (+.f64 1 e) (sin.f64 v)))

Calls

2 calls:

18.0ms	v
15.0ms	e

Results

Error	Segments	Branch
0.6b	1	`e`
0.6b	1	`v`

Compiler

Compiled 293 to 170 computations (42% saved)

regimes38.0ms (0.6%)

Counts

30 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(/.f64 e (/.f64 (+.f64 1 e) v))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(.f64 v (-.f64 e (.f64 e e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 e)) v))
(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))
(.f64 (/.f64 1 (+.f64 1 e)) (.f64 e v))
(.f64 v (.f64 e (/.f64 1 (+.f64 e 1))))
(/.f64 1 (/.f64 (/.f64 (+.f64 e 1) v) e))
(/.f64 1 (/.f64 (+.f64 1 e) (*.f64 v e)))
(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
(/.f64 1 (*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v)))
(-.f64 (+.f64 1 (*.f64 (/.f64 v (+.f64 e 1)) e)) 1)
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 v e)) (/.f64 1 (.f64 v e))))
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 e (/.f64 1 (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))

Outputs
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))

Calls

2 calls:

15.0ms	v
15.0ms	e

Results

Error	Segments	Branch
0.6b	1	`e`
0.6b	1	`v`

Compiler

Compiled 269 to 161 computations (40.1% saved)

regimes36.0ms (0.6%)

Counts

29 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(/.f64 e (/.f64 (+.f64 1 e) v))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(.f64 v (-.f64 e (.f64 e e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 e)) v))
(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))
(.f64 (/.f64 1 (+.f64 1 e)) (.f64 e v))
(.f64 v (.f64 e (/.f64 1 (+.f64 e 1))))
(/.f64 1 (/.f64 (/.f64 (+.f64 e 1) v) e))
(/.f64 1 (/.f64 (+.f64 1 e) (*.f64 v e)))
(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
(/.f64 1 (*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v)))
(-.f64 (+.f64 1 (*.f64 (/.f64 v (+.f64 e 1)) e)) 1)
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 v e)) (/.f64 1 (.f64 v e))))
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 e (/.f64 1 (sin.f64 v)))

Outputs
(*.f64 (sin.f64 v) e)

Calls

2 calls:

14.0ms	v
14.0ms	e

Results

Error	Segments	Branch
1.0b	1	`e`
1.0b	1	`v`

Compiler

Compiled 261 to 157 computations (39.8% saved)

regimes31.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(/.f64 e (/.f64 (+.f64 1 e) v))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(.f64 v (-.f64 e (.f64 e e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 e)) v))
(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))
(.f64 (/.f64 1 (+.f64 1 e)) (.f64 e v))
(.f64 v (.f64 e (/.f64 1 (+.f64 e 1))))
(/.f64 1 (/.f64 (/.f64 (+.f64 e 1) v) e))
(/.f64 1 (/.f64 (+.f64 1 e) (*.f64 v e)))
(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
(/.f64 1 (*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v)))
(-.f64 (+.f64 1 (*.f64 (/.f64 v (+.f64 e 1)) e)) 1)
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 v e)) (/.f64 1 (.f64 v e))))
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(/.f64 1 (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (.f64 v e)) (.f64 -1 (.f64 (+.f64 1/2 (.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))

Outputs
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))

Calls

2 calls:

12.0ms	e
12.0ms	v

Results

Error	Segments	Branch
27.5b	1	`e`
27.5b	1	`v`

Compiler

Compiled 237 to 148 computations (37.6% saved)

regimes27.0ms (0.4%)

Counts

21 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(/.f64 e (/.f64 (+.f64 1 e) v))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(.f64 v (-.f64 e (.f64 e e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 e)) v))
(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))
(.f64 (/.f64 1 (+.f64 1 e)) (.f64 e v))
(.f64 v (.f64 e (/.f64 1 (+.f64 e 1))))
(/.f64 1 (/.f64 (/.f64 (+.f64 e 1) v) e))
(/.f64 1 (/.f64 (+.f64 1 e) (*.f64 v e)))
(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
(/.f64 1 (*.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v)))
(-.f64 (+.f64 1 (*.f64 (/.f64 v (+.f64 e 1)) e)) 1)
(/.f64 1 (+.f64 (.f64 1/6 (/.f64 v e)) (/.f64 1 (.f64 v e))))

Outputs
(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))

Calls

2 calls:

12.0ms	v
10.0ms	e

Results

Error	Segments	Branch
27.9b	1	`e`
27.9b	1	`v`

Compiler

Compiled 166 to 98 computations (41% saved)

regimes17.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(/.f64 e (/.f64 (+.f64 1 e) v))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(.f64 v (-.f64 e (.f64 e e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1 e)) v))

Outputs
(/.f64 (*.f64 v e) (+.f64 1 e))

Calls

2 calls:

8.0ms	v
7.0ms	e

Results

Error	Segments	Branch
28.1b	1	`e`
28.1b	1	`v`

Compiler

Compiled 77 to 40 computations (48.1% saved)

regimes15.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(/.f64 e (/.f64 (+.f64 1 e) v))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(.f64 v (-.f64 e (.f64 e e)))

Outputs
(/.f64 e (/.f64 (+.f64 1 e) v))

Calls

2 calls:

7.0ms	v
6.0ms	e

Results

Error	Segments	Branch
28.1b	1	`e`
28.1b	1	`v`

Compiler

Compiled 61 to 30 computations (50.8% saved)

regimes13.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))

Outputs
(.f64 v (-.f64 e (.f64 e e)))

Calls

2 calls:

6.0ms	e
5.0ms	v

Results

Error	Segments	Branch
28.3b	1	`e`
28.3b	1	`v`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes10.0ms (0.2%)

Accuracy

Total -34.2b remaining (-120%)

Threshold costs -34.2b (-120%)

Counts

5 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))

Outputs
(*.f64 v e)

Calls

2 calls:

4.0ms	v
4.0ms	e

Results

Error	Segments	Branch
28.5b	1	`e`
28.5b	1	`v`

Compiler

Compiled 26 to 14 computations (46.2% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	152
1	70	152
2	85	152
3	96	152
4	102	152
5	103	152

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 1 e)))
(/.f64 e (/.f64 (+.f64 1 e) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (sin.f64 v) e)
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 e (/.f64 (+.f64 1 e) v))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v e)
v

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 1 e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 1 e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 e (/.f64 (+.f64 1 e) (sin.f64 v)))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 e (+.f64 (.f64 v (+.f64 (.f64 e -1/2) (*.f64 1/6 (+.f64 e 1)))) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 e (+.f64 (.f64 v (+.f64 (.f64 e -1/2) (*.f64 (+.f64 e 1) 1/6))) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))
(/.f64 e (+.f64 (/.f64 1 v) (*.f64 v 1/6)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 e v) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 1 e) v))
(/.f64 e (/.f64 (+.f64 e 1) v))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v e)
(*.f64 e v)
v

end79.0ms (1.3%)

Stop Event

1×

fuel

Compiler

Compiled 234 to 144 computations (38.5% saved)