Details

analyze12.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
50%	12.5%	12.5%	75%	0%	0%	0%	2
50%	12.5%	12.5%	75%	0%	0%	0%	3
75%	18.7%	6.2%	75%	0%	0%	0%	4
87.5%	21.8%	3.1%	75%	0%	0%	0%	5
93.8%	23.4%	1.6%	75%	0%	0%	0%	6
93.8%	23.4%	1.6%	75%	0%	0%	0%	7
96.9%	24.2%	0.8%	75%	0%	0%	0%	8
96.9%	24.2%	0.8%	75%	0%	0%	0%	9
98.4%	24.6%	0.4%	75%	0%	0%	0%	10
98.4%	24.6%	0.4%	75%	0%	0%	0%	11
99.2%	24.8%	0.2%	75%	0%	0%	0%	12

Compiler

Compiled 20 to 14 computations (30% saved)

sample3.1s (34.3%)

Results

1.3s	5156×	body	256	valid
1.3s	2044×	body	1024	valid
433.0ms	1049×	body	512	valid
7.0ms	7×	body	2048	valid

Bogosity

preprocess37.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify18.0ms (0.2%)

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

eval1.0ms (0%)

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

prune3.0ms (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 e (/.f64 (sin.f64 v) (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)

localize31.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 14 computations (56.3% saved)

series27.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	e	@	-inf	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
4.0ms	v	@	0	(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
3.0ms	v	@	0	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
3.0ms	v	@	inf	(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
3.0ms	v	@	-inf	(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))

rewrite90.0ms (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	27
1	178	27
2	2236	27

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

Outputs

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

simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

860×	`fma-def_binary64`
714×	`associate-l_binary64`
647×	`associate-r_binary64`
247×	`associate-/r*_binary64`
230×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1900
1	476	1818
2	1685	1780

Stop Event

1×	node limit

Counts

101 → 102

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

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

localize30.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	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))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series19.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	e	@	-inf	(*.f64 e (sin.f64 v))
2.0ms	e	@	0	(*.f64 e (sin.f64 v))
1.0ms	e	@	0	(*.f64 e (cos.f64 v))
1.0ms	v	@	0	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
1.0ms	v	@	0	(*.f64 e (cos.f64 v))

rewrite109.0ms (1.2%)

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	29
1	207	27
2	2831	27

Stop Event

1×	node limit

Counts

3 → 103

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))))

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

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

simplify99.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
653×	`fma-def_binary64`
500×	`associate-l_binary64`
475×	`associate-r_binary64`
350×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1369
1	357	1319
2	1154	1282
3	5345	1224

Stop Event

1×	node limit

Counts

175 → 142

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)))

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

eval217.0ms (2.4%)

Compiler: Compiled 5586 to 3122 computations (44.1% saved)

prune82.0ms (0.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	227	17	244
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	229	17	246

Error

0.0b

Counts

246 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
	17.2b	(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
	1.0b	(*.f64 (sin.f64 v) e)
	1.2b	(.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))))
▶	0.5b	(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
	31.4b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (.f64 v e)) (+.f64 1 (.f64 e (cos.f64 v))))
	30.8b	(/.f64 (*.f64 v e) (+.f64 1 e))
▶	0.2b	(*.f64 e (log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
	1.0b	(.f64 e (.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1)))))
	31.7b	(*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))
▶	1.0b	(*.f64 e (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3))
	35.8b	(/.f64 (cbrt.f64 (pow.f64 (.f64 e (sin.f64 v)) 3)) (+.f64 1 (.f64 e (cos.f64 v))))
▶	30.8b	(*.f64 e (/.f64 v (+.f64 e 1)))
▶	17.2b	(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
	26.0b	(/.f64 (pow.f64 (sqrt.f64 (.f64 e (sin.f64 v))) 2) (+.f64 1 (.f64 e (cos.f64 v))))
	1.1b	(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
	0.3b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))

Compiler

Compiled 486 to 338 computations (30.5% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 25 computations (52.8% saved)

series12.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	e	@	inf	(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
1.0ms	v	@	0	(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
1.0ms	e	@	0	(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
1.0ms	e	@	-inf	(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
1.0ms	v	@	-inf	(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))

rewrite109.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`pow1_binary64`
896×	`expm1-log1p-u_binary64`
895×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	198	41
2	2384	41

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs

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

(*.f64 e (log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))

(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))

Outputs

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

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

simplify146.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/r*_binary64`
591×	`associate-/l*_binary64`
337×	`distribute-rgt-in_binary64`
325×	`distribute-lft-in_binary64`
256×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	3279
1	838	3087
2	3325	3023

Stop Event

1×	node limit

Counts

151 → 152

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series14.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(*.f64 e (/.f64 v (+.f64 e 1)))
2.0ms	v	@	inf	(/.f64 v (+.f64 e 1))
1.0ms	v	@	0	(/.f64 v (+.f64 e 1))
1.0ms	v	@	-inf	(/.f64 v (+.f64 e 1))
1.0ms	v	@	inf	(*.f64 e (/.f64 v (+.f64 e 1)))

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`pow1_binary64`
767×	`log1p-expm1-u_binary64`
767×	`expm1-log1p-u_binary64`
766×	`add-log-exp_binary64`
750×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	150	17
2	2065	17

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

503×	`sub-neg_binary64`
481×	`distribute-rgt-neg-in_binary64`
456×	`fma-neg_binary64`
399×	`distribute-lft-neg-in_binary64`
340×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	582
1	156	556
2	430	539
3	1541	496
4	5607	496

Stop Event

1×	node limit

Counts

103 → 85

Calls

Call 1

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

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

localize27.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	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)))))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series21.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	v	@	0	(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
4.0ms	v	@	inf	(.f64 e (.f64 e (cos.f64 v)))
2.0ms	v	@	inf	(.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)))))

rewrite64.0ms (0.7%)

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	26
1	192	26
2	2660	26

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

((#(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 expm1.f64 (log1p.f64 (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(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))))))

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

496×	`fma-def_binary64`
443×	`distribute-rgt-out_binary64`
373×	`+-commutative_binary64`
372×	`distribute-rgt-in_binary64`
362×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	813
1	203	783
2	742	761
3	3591	738
4	6532	738

Stop Event

1×	node limit

Counts

91 → 68

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))

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

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
✓	0.1b	(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
✓	0.5b	(+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
✓	3.0b	(-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)

Compiler

Compiled 58 to 30 computations (48.3% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite145.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`log-prod_binary64`
468×	`prod-diff_binary64`
418×	`fma-def_binary64`
293×	`pow2_binary64`
203×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	239	42
2	3381	42

Stop Event

1×	node limit

Counts

3 → 203

Calls

Call 1

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

Outputs

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

simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

715×	`associate-l_binary64`
648×	`associate-r_binary64`
341×	`associate-+l+_binary64`
267×	`*-commutative_binary64`
247×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	2514
1	523	2401
2	1823	2367

Stop Event

1×	node limit

Counts

275 → 273

Calls

Call 1

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

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

localize43.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
✓	0.1b	(*.f64 e (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3))
✓	0.6b	(cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
✓	0.8b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)

Compiler

Compiled 56 to 28 computations (50% saved)

series59.0ms (0.7%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	v	@	0	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)
8.0ms	e	@	inf	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)
7.0ms	e	@	0	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)
5.0ms	v	@	inf	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)
4.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)

rewrite124.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
400×	`prod-exp_binary64`
387×	`exp-prod_binary64`
337×	`pow-prod-down_binary64`
276×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	246	41
2	2703	41

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)

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

(*.f64 e (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3))

Outputs

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

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

655×	`distribute-rgt-in_binary64`
645×	`distribute-lft-in_binary64`
397×	`times-frac_binary64`
396×	`associate-+l+_binary64`
261×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2562
1	663	2379
2	2734	2230

Stop Event

1×	node limit

Counts

197 → 193

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 13) 1) 1/9) (cos.f64 v))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 13) 1) 1/9) (cos.f64 v)))) e) (.f64 (sin.f64 v) (pow.f64 1 1/3)))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 v) 1) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 14) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 v)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))))))) (pow.f64 e 2)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 13) 1) 1/9) (cos.f64 v))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 13) 1) 1/9) (cos.f64 v)))) e) (*.f64 (sin.f64 v) (pow.f64 1 1/3))))
(+.f64 (.f64 (pow.f64 e 3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 4) 1) 1/9) (.f64 (cos.f64 v) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 7) 1) 1/9) (.f64 (cos.f64 v) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 14) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 v)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 7) 1) 1/3) (pow.f64 (cos.f64 v) 3))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 4) 1) 1/9) (.f64 (cos.f64 v) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))))) (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)))))) (.f64 (pow.f64 (.f64 (sin.f64 v) 1) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (sin.f64 v) 1) 1/9) (.f64 (cos.f64 v) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 v)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 4) 1) 1/9) (.f64 (cos.f64 v) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))))) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 7) 1) 1/3) (pow.f64 (cos.f64 v) 3))) (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)))))))))))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 v) 1) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 14) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 v)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))))))) (pow.f64 e 2)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 13) 1) 1/9) (cos.f64 v))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 13) 1) 1/9) (cos.f64 v)))) e) (.f64 (sin.f64 v) (pow.f64 1 1/3)))))
(pow.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) 1/3)
(pow.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) 1/3)
(pow.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) 1/3)
(pow.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) 1/3)
(pow.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) 1/3)
(pow.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) 1/3)
(pow.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) 1/3)
(pow.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) 1/3)
(pow.f64 (sin.f64 v) 1/3)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 7) 1) 1/9) (.f64 (cos.f64 v) e))) (pow.f64 (sin.f64 v) 1/3))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 v) 2)) 1/3) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 7) 1) 1/9) (.f64 (cos.f64 v) e))) (pow.f64 (sin.f64 v) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 v) 2)) 1/3) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 v) 2)) 1/3) (.f64 (pow.f64 e 3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 4) 1) 1/9) (.f64 (cos.f64 v) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))))) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 7) 1) 1/3) (pow.f64 (cos.f64 v) 3))) (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 7) 1) 1/9) (.f64 (cos.f64 v) e))) (pow.f64 (sin.f64 v) 1/3))))
(*.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)))

Outputs
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))
(.f64 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))) (pow.f64 1 1/3))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(sin.f64 v)
(+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 13) 1) 1/9) (cos.f64 v))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 13) 1) 1/9) (cos.f64 v)))) e) (.f64 (sin.f64 v) (pow.f64 1 1/3)))
(fma.f64 (.f64 (.f64 (cos.f64 v) (*.f64 (pow.f64 (pow.f64 (sin.f64 v) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 13) 1/18))) -1) e (sin.f64 v))
(fma.f64 e (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 13) 1/18)) (*.f64 (cos.f64 v) -1)) (sin.f64 v))
(fma.f64 e (neg.f64 (.f64 (cos.f64 v) (.f64 (pow.f64 (pow.f64 (sin.f64 v) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 13) 1/18)))) (sin.f64 v))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 v) 1) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 14) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 v)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))))))) (pow.f64 e 2)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 13) 1) 1/9) (cos.f64 v))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 13) 1) 1/9) (cos.f64 v)))) e) (*.f64 (sin.f64 v) (pow.f64 1 1/3))))
(fma.f64 (fma.f64 (cbrt.f64 (sin.f64 v)) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 14) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 14) 1/18)) (pow.f64 (cos.f64 v) 2)) (.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 v))) (fma.f64 1/3 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))) (neg.f64 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))))) (fma.f64 2/9 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))) (.f64 -1/3 (fma.f64 1/3 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))) (neg.f64 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))))) (.f64 e e) (fma.f64 (.f64 (.f64 (cos.f64 v) (*.f64 (pow.f64 (pow.f64 (sin.f64 v) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 13) 1/18))) -1) e (sin.f64 v)))
(fma.f64 (fma.f64 (cbrt.f64 (sin.f64 v)) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 v))) (.f64 (pow.f64 (cos.f64 v) 2) (+.f64 (neg.f64 (sin.f64 v)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18)))))) (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 14) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 14) 1/18)) (.f64 (pow.f64 (cos.f64 v) 2) 1/9))) (fma.f64 -1/3 (.f64 (pow.f64 (cos.f64 v) 2) (+.f64 (neg.f64 (sin.f64 v)) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))))) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (.f64 2/9 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18)) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))))) (.f64 e e) (fma.f64 e (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 13) 1/18)) (*.f64 (cos.f64 v) -1)) (sin.f64 v)))
(fma.f64 (fma.f64 (cbrt.f64 (sin.f64 v)) (fma.f64 -2/3 (.f64 (.f64 (pow.f64 (cos.f64 v) 2) (cbrt.f64 (/.f64 1 (sin.f64 v)))) (-.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))) (sin.f64 v))) (.f64 1/9 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 14) 1/18) (.f64 (pow.f64 (pow.f64 (sin.f64 v) 14) 1/18) (pow.f64 (cos.f64 v) 2))))) (fma.f64 -1/3 (.f64 (pow.f64 (cos.f64 v) 2) (-.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))) (sin.f64 v))) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18)) 2/9)))) (.f64 e e) (fma.f64 e (neg.f64 (.f64 (cos.f64 v) (.f64 (pow.f64 (pow.f64 (sin.f64 v) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 13) 1/18)))) (sin.f64 v)))
(+.f64 (.f64 (pow.f64 e 3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 4) 1) 1/9) (.f64 (cos.f64 v) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 7) 1) 1/9) (.f64 (cos.f64 v) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 14) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 v)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 7) 1) 1/3) (pow.f64 (cos.f64 v) 3))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 4) 1) 1/9) (.f64 (cos.f64 v) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))))) (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)))))) (.f64 (pow.f64 (.f64 (sin.f64 v) 1) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (sin.f64 v) 1) 1/9) (.f64 (cos.f64 v) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 v)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 4) 1) 1/9) (.f64 (cos.f64 v) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))))) (+.f64 (.f64 -1/27 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 7) 1) 1/3) (pow.f64 (cos.f64 v) 3))) (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)))))))))))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 v) 1) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 14) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 v)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 17) 1) 1/9) (pow.f64 (cos.f64 v) 2))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))))))) (pow.f64 e 2)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 13) 1) 1/9) (cos.f64 v))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 v) 13) 1) 1/9) (cos.f64 v)))) e) (.f64 (sin.f64 v) (pow.f64 1 1/3)))))
(fma.f64 (pow.f64 e 3) (fma.f64 2/9 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 4) 1/18)) (cos.f64 v)) (fma.f64 1/3 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))) (neg.f64 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))) (fma.f64 -1/3 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 7) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 7) 1/18)) (cos.f64 v)) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 14) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 14) 1/18)) (pow.f64 (cos.f64 v) 2)) (.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 v))) (fma.f64 1/3 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))) (neg.f64 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))))))) (+.f64 (.f64 -1/3 (fma.f64 -1/27 (.f64 (cbrt.f64 (pow.f64 (sin.f64 v) 7)) (pow.f64 (cos.f64 v) 3)) (fma.f64 2/3 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 4) 1/18)) (cos.f64 v)) (fma.f64 1/3 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))) (neg.f64 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))) (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))))) (.f64 (cbrt.f64 (sin.f64 v)) (fma.f64 2/9 (.f64 (.f64 (.f64 (pow.f64 (sin.f64 v) 1/18) (pow.f64 (sin.f64 v) 1/18)) (cos.f64 v)) (fma.f64 1/3 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))) (neg.f64 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))) (.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 v))) (fma.f64 2/3 (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 4) 1/18)) (cos.f64 v)) (fma.f64 1/3 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))) (neg.f64 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))) (fma.f64 -1/27 (.f64 (cbrt.f64 (pow.f64 (sin.f64 v) 7)) (pow.f64 (cos.f64 v) 3)) (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))))))))))) (fma.f64 (fma.f64 (cbrt.f64 (sin.f64 v)) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 v) 14) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 14) 1/18)) (pow.f64 (cos.f64 v) 2)) (.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (sin.f64 v))) (fma.f64 1/3 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))) (neg.f64 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))))) (fma.f64 2/9 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))) (.f64 -1/3 (fma.f64 1/3 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 17) 1/18))) (neg.f64 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))))))) (.f64 e e) (fma.f64 (.f64 (.f64 (cos.f64 v) (*.f64 (pow.f64 (pow.f64 (sin.f64 v) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 v) 13) 1/18))) -1) e (sin.f64 v))))
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(+.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 1 e))) (.f64 1/2 (/.f64 (.f64 e e) (pow.f64 (+.f64 1 e) 2)))) (/.f64 v (/.f64 (+.f64 1 e) e))) (fma.f64 (pow.f64 v 7) (-.f64 (.f64 (/.f64 e (+.f64 1 e)) -1/5040) (fma.f64 1/24 (/.f64 (+.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 1/2 (/.f64 (.f64 e e) (pow.f64 (+.f64 1 e) 2)))) (/.f64 (+.f64 1 e) e)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (/.f64 e (+.f64 1 e)) 1/120) (fma.f64 1/24 (/.f64 (.f64 e e) (pow.f64 (+.f64 1 e) 2)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 1/2 (/.f64 (.f64 e e) (pow.f64 (+.f64 1 e) 2)))) (/.f64 (+.f64 1 e) e))))) (/.f64 (+.f64 1 e) e)) (/.f64 (.f64 -1/720 (.f64 e e)) (pow.f64 (+.f64 1 e) 2))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 1 e)) 1/120) (fma.f64 1/24 (/.f64 (.f64 e e) (pow.f64 (+.f64 1 e) 2)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 1/2 (/.f64 (.f64 e e) (pow.f64 (+.f64 1 e) 2)))) (/.f64 (+.f64 1 e) e))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 1 e)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 1 e) 2)) 1/2)) (/.f64 v (/.f64 (+.f64 1 e) e))) (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 (.f64 e 1/120) (+.f64 1 e)) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 1 e)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 1 e) 2)) 1/2)) (/.f64 (+.f64 1 e) e)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 1 e) 2)) 1/24))) (.f64 (pow.f64 v 7) (-.f64 (.f64 (/.f64 e (+.f64 1 e)) -1/5040) (fma.f64 1/24 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 1 e)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 1 e) 2)) 1/2)) (/.f64 (+.f64 1 e) e)) (fma.f64 -1/2 (.f64 (/.f64 (-.f64 (/.f64 (.f64 e 1/120) (+.f64 1 e)) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 1 e)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 1 e) 2)) 1/2)) (/.f64 (+.f64 1 e) e)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 1 e) 2)) 1/24))) (+.f64 1 e)) e) (/.f64 (.f64 (*.f64 e e) -1/720) (pow.f64 (+.f64 1 e) 2))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 1 e)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 1 e) 2) (.f64 e e)))) (.f64 (/.f64 e (+.f64 1 e)) v)) (fma.f64 (pow.f64 v 7) (-.f64 (fma.f64 (/.f64 e (+.f64 1 e)) -1/5040 (.f64 (.f64 (/.f64 e (+.f64 1 e)) (fma.f64 -1/6 (/.f64 e (+.f64 1 e)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 1 e) 2) (.f64 e e))))) -1/24)) (fma.f64 -1/2 (.f64 (/.f64 e (+.f64 1 e)) (-.f64 (fma.f64 (/.f64 e (+.f64 1 e)) 1/120 (/.f64 -1/24 (/.f64 (pow.f64 (+.f64 1 e) 2) (.f64 e e)))) (.f64 (/.f64 (.f64 (fma.f64 -1/6 (/.f64 e (+.f64 1 e)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 1 e) 2) (.f64 e e)))) -1/2) (+.f64 1 e)) e))) (/.f64 -1/720 (/.f64 (pow.f64 (+.f64 1 e) 2) (.f64 e e))))) (.f64 (pow.f64 v 5) (-.f64 (fma.f64 (/.f64 e (+.f64 1 e)) 1/120 (/.f64 -1/24 (/.f64 (pow.f64 (+.f64 1 e) 2) (.f64 e e)))) (.f64 (/.f64 (.f64 (fma.f64 -1/6 (/.f64 e (+.f64 1 e)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 1 e) 2) (.f64 e e)))) -1/2) (+.f64 1 e)) e)))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e 1))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e 1))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e 1))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e 1))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e 1))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e 1))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e 1))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e 1))

eval637.0ms (7.1%)

Compiler: Compiled 24348 to 14270 computations (41.4% saved)

prune175.0ms (2%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	958	18	976
Fresh	7	5	12
Picked	1	0	1
Done	3	1	4
Total	969	24	993

Error

Counts

993 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	(/.f64 v (/.f64 (+.f64 1 e) e))
	26.0b	(pow.f64 (sqrt.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (*.f64 e e))))) 2)
	1.0b	(*.f64 (sin.f64 v) e)
	0.4b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
	62.7b	(-.f64 v (/.f64 v e))
	31.7b	(*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))
	1.9b	(*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3))
	1.1b	(*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v))))
	47.5b	(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
	31.2b	(/.f64 (.f64 (-.f64 (.f64 e e) (pow.f64 (.f64 e (sqrt.f64 (cos.f64 v))) 4)) (sin.f64 v)) (fma.f64 (cos.f64 v) (.f64 e e) e))
✓	0.5b	(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
	31.4b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (.f64 v e)) (+.f64 1 (.f64 e (cos.f64 v))))
	48.2b	(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
▶	31.4b	(*.f64 v e)
▶	17.5b	(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
	1.1b	(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
	29.5b	(fma.f64 (sqrt.f64 e) (sqrt.f64 e) (*.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) e))
	0.3b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
▶	17.5b	(*.f64 e (log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1)))
	48.0b	(*.f64 e (-.f64 1 1))
▶	0.3b	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
▶	30.8b	(/.f64 (*.f64 v e) (+.f64 e 1))
	31.7b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
	30.8b	(/.f64 e (/.f64 (+.f64 e 1) v))

Compiler

Compiled 549 to 380 computations (30.8% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 14 computations (54.8% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`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))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) 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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 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(#(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 +.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 expm1.f64 (log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) e)))))) (#(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)))))))

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
503×	`unswap-sqr_binary64`
495×	`fma-def_binary64`
394×	`associate-l_binary64`
376×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1252
1	324	1187
2	1025	1165
3	4739	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 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 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 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 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 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 (.f64 -1/6 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 (+.f64 e 1)) 1/120) (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 1/24 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e))))) (/.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)) (fma.f64 (pow.f64 v 5) (+.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (.f64 (/.f64 e (/.f64 (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 e (/.f64 (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 (/.f64 e (+.f64 e 1)) (-.f64 -1/6 (/.f64 (.f64 e -1/2) (+.f64 e 1)))) (+.f64 e 1)) (.f64 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 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 -1/5040 e) (+.f64 e 1)) (fma.f64 1/24 (/.f64 (+.f64 (/.f64 (.f64 -1/6 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 (.f64 -1/6 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 (.f64 -1/6 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 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 e) (+.f64 e 1))) (fma.f64 (pow.f64 v 5) (-.f64 (.f64 (/.f64 e (+.f64 e 1)) 1/120) (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 1/24 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e 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 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 (+.f64 e 1)) 1/120) (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 1/24 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e))))) (+.f64 e 1)) e) (.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) -1/720)))))))
(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 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (.f64 (/.f64 e (/.f64 (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 e (/.f64 (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 e (/.f64 (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 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2))) 1/2))) (fma.f64 (/.f64 e (/.f64 (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 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2))))))) (/.f64 e (/.f64 (+.f64 e 1) v)))))
(fma.f64 (/.f64 v (+.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)))) (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 (/.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 (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 (/.f64 e (+.f64 e 1)) (-.f64 -1/6 (/.f64 (.f64 e -1/2) (+.f64 e 1)))) (+.f64 e 1)) (.f64 e -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 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
(*.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 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
(*.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 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
(*.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 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
(*.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 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
(*.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 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
(*.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 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
(*.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 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(fma.f64 -1 (.f64 (.f64 (sin.f64 v) (cos.f64 v)) (.f64 e e)) (.f64 e (sin.f64 v)))
(-.f64 (.f64 e (sin.f64 v)) (.f64 (sin.f64 v) (.f64 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)))))
(-.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 (.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)))))
(/.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 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) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (*.f64 e e)) (/.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 (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 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (.f64 e e)) (+.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 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (-.f64 (.f64 (+.f64 (/.f64 -1 (.f64 e (cos.f64 v))) 1) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(.f64 (+.f64 (/.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 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) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (*.f64 e e)) (/.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 (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 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (.f64 e e)) (+.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 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (-.f64 (.f64 (+.f64 (/.f64 -1 (.f64 e (cos.f64 v))) 1) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(/.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 (+.f64 1 (/.f64 1 e)) (.f64 -1/2 (.f64 v v)))
(+.f64 1 (fma.f64 -1/2 (*.f64 v v) (/.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 1 (fma.f64 v (*.f64 v -1/2) (fma.f64 1/24 (pow.f64 v 4) (/.f64 1 e))))
(+.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 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 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 1 (+.f64 (/.f64 1 e) (fma.f64 v (.f64 v -1/2) (fma.f64 1/24 (pow.f64 v 4) (.f64 -1/720 (pow.f64 v 6))))))
(+.f64 1 (+.f64 (fma.f64 1/24 (pow.f64 v 4) (.f64 v (.f64 v -1/2))) (fma.f64 -1/720 (pow.f64 v 6) (/.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%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`pow1_binary64`
797×	`log1p-expm1-u_binary64`
797×	`expm1-log1p-u_binary64`
796×	`add-log-exp_binary64`
780×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	150	10
2	2126	10

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-def_binary64`
463×	`times-frac_binary64`
436×	`distribute-lft-out--_binary64`
377×	`distribute-rgt-neg-in_binary64`
334×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	296
1	99	284
2	260	274
3	956	257
4	4229	250

Stop Event

1×	node limit

Counts

67 → 59

Calls

Call 1

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
✓	0.5b	(+.f64 (sin.f64 v) 1)
✓	3.0b	(-.f64 (+.f64 (sin.f64 v) 1) 1)

Compiler

Compiled 25 to 15 computations (40% saved)

series3.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`pow1_binary64`
772×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
758×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	174	15
2	2359	15

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

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

Outputs

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

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

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

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1325×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
596×	`cube-prod_binary64`
343×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	310
1	111	300
2	285	286
3	860	282
4	1942	282
5	2129	282
6	2336	282
7	2785	282
8	3665	282
9	3808	282
10	4611	282
11	4997	282
12	5593	282
13	6466	282
14	7575	282

Stop Event

1×	node limit

Counts

137 → 118

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)
1
(+.f64 v 1)
(+.f64 v (+.f64 1 (*.f64 -1/6 (pow.f64 v 3))))
(+.f64 v (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 v 3)) (.f64 1/120 (pow.f64 v 5)))))
(*.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)

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (sin.f64 v))
✓	0.1b	(*.f64 e (log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1)))
✓	0.2b	(log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1))
✓	3.0b	(-.f64 (exp.f64 (sin.f64 v)) 1)

Compiler

Compiled 29 to 14 computations (51.7% saved)

series124.0ms (1.4%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
44.0ms	e	@	0	(*.f64 e (log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1)))
41.0ms	v	@	inf	(log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1))
28.0ms	v	@	-inf	(log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1))
6.0ms	v	@	inf	(*.f64 e (log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1)))
1.0ms	v	@	0	(log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1))

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`pow1_binary64`
692×	`add-log-exp_binary64`
691×	`expm1-log1p-u_binary64`
690×	`log1p-expm1-u_binary64`
677×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	179	19
2	1929	19

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

Inputs
(-.f64 (exp.f64 (sin.f64 v)) 1)
(log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1))
(*.f64 e (log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1)))
(exp.f64 (sin.f64 v))

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

simplify173.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

970×	`fma-def_binary64`
730×	`sqr-pow_binary64`
509×	`*-commutative_binary64`
418×	`associate-l_binary64`
385×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	362
1	142	350
2	365	332
3	1110	324
4	3025	324
5	3954	324
6	4151	324
7	4385	324
8	4701	324
9	5039	324
10	5467	324
11	6022	324
12	6600	324
13	7316	324
14	7646	324
15	7992	324

Stop Event

1×	node limit

Counts

132 → 115

Calls

Call 1

Inputs
v
(+.f64 v (*.f64 1/2 (pow.f64 v 2)))
(+.f64 v (+.f64 (.f64 1/2 (pow.f64 v 2)) (.f64 -1/8 (pow.f64 v 4))))
(+.f64 (.f64 -1/15 (pow.f64 v 5)) (+.f64 v (+.f64 (.f64 1/2 (pow.f64 v 2)) (*.f64 -1/8 (pow.f64 v 4)))))
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 (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)
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 1/2 (pow.f64 v 2)))
(+.f64 v (.f64 1/2 (.f64 v v)))
(fma.f64 1/2 (*.f64 v v) v)
(fma.f64 v (*.f64 v 1/2) v)
(*.f64 v (fma.f64 v 1/2 1))
(+.f64 v (+.f64 (.f64 1/2 (pow.f64 v 2)) (.f64 -1/8 (pow.f64 v 4))))
(+.f64 v (fma.f64 1/2 (.f64 v v) (.f64 -1/8 (pow.f64 v 4))))
(+.f64 (fma.f64 1/2 (.f64 v v) v) (.f64 -1/8 (pow.f64 v 4)))
(fma.f64 v (*.f64 v 1/2) (fma.f64 -1/8 (pow.f64 v 4) v))
(+.f64 (.f64 -1/15 (pow.f64 v 5)) (+.f64 v (+.f64 (.f64 1/2 (pow.f64 v 2)) (*.f64 -1/8 (pow.f64 v 4)))))
(fma.f64 -1/15 (pow.f64 v 5) (+.f64 v (fma.f64 1/2 (.f64 v v) (.f64 -1/8 (pow.f64 v 4)))))
(+.f64 (fma.f64 1/2 (.f64 v v) (.f64 -1/8 (pow.f64 v 4))) (fma.f64 -1/15 (pow.f64 v 5) v))
(fma.f64 -1/15 (pow.f64 v 5) (fma.f64 v (*.f64 v 1/2) (fma.f64 -1/8 (pow.f64 v 4) v)))
(fma.f64 v (*.f64 v 1/2) (fma.f64 -1/8 (pow.f64 v 4) (fma.f64 -1/15 (pow.f64 v 5) v)))
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 (pow.f64 v 5) 1/120)))
(+.f64 (fma.f64 -1/6 (pow.f64 v 3) v) (*.f64 (pow.f64 v 5) 1/120))
(fma.f64 (pow.f64 v 5) 1/120 (fma.f64 -1/6 (pow.f64 v 3) 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 -1/6 (pow.f64 v 3) v) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 (pow.f64 v 5) 1/120)))
(fma.f64 -1/6 (pow.f64 v 3) (+.f64 v (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 (pow.f64 v 5) 1/120))))
(fma.f64 (pow.f64 v 5) 1/120 (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) v)))
(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 (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 (pow.f64 v 3) e) (.f64 v e))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(*.f64 (fma.f64 -1/6 (pow.f64 v 3) 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)))
(fma.f64 -1/6 (.f64 (pow.f64 v 3) e) (fma.f64 1/120 (.f64 (pow.f64 v 5) e) (*.f64 v e)))
(+.f64 (.f64 e (fma.f64 -1/6 (pow.f64 v 3) v)) (.f64 (pow.f64 v 5) (*.f64 1/120 e)))
(*.f64 e (fma.f64 (pow.f64 v 5) 1/120 (fma.f64 -1/6 (pow.f64 v 3) v)))
(*.f64 (fma.f64 (pow.f64 v 5) 1/120 (fma.f64 -1/6 (pow.f64 v 3) 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)))))
(fma.f64 -1/6 (.f64 (pow.f64 v 3) e) (fma.f64 1/120 (.f64 (pow.f64 v 5) e) (fma.f64 v e (.f64 -1/5040 (.f64 (pow.f64 v 7) e)))))
(+.f64 (.f64 e (+.f64 v (.f64 -1/5040 (pow.f64 v 7)))) (.f64 e (fma.f64 (pow.f64 v 5) 1/120 (.f64 -1/6 (pow.f64 v 3)))))
(.f64 e (fma.f64 -1/6 (pow.f64 v 3) (+.f64 v (fma.f64 -1/5040 (pow.f64 v 7) (.f64 (pow.f64 v 5) 1/120)))))
(*.f64 e (fma.f64 (pow.f64 v 5) 1/120 (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) 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)
1
(+.f64 v 1)
(+.f64 v (+.f64 1 (*.f64 1/2 (pow.f64 v 2))))
(+.f64 v (+.f64 (.f64 1/2 (.f64 v v)) 1))
(+.f64 (fma.f64 1/2 (*.f64 v v) v) 1)
(+.f64 v (fma.f64 v (*.f64 v 1/2) 1))
(fma.f64 (fma.f64 v 1/2 1) v 1)
(+.f64 v (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 v 2)) (.f64 -1/8 (pow.f64 v 4)))))
(+.f64 v (+.f64 (fma.f64 1/2 (.f64 v v) (.f64 -1/8 (pow.f64 v 4))) 1))
(+.f64 (+.f64 (fma.f64 1/2 (.f64 v v) v) (.f64 -1/8 (pow.f64 v 4))) 1)
(+.f64 v (fma.f64 v (*.f64 v 1/2) (fma.f64 -1/8 (pow.f64 v 4) 1)))
(fma.f64 -1/8 (pow.f64 v 4) (fma.f64 (fma.f64 v 1/2 1) v 1))

eval131.0ms (1.5%)

Compiler: Compiled 6445 to 3670 computations (43.1% saved)

prune93.0ms (1%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	428	18	446
Fresh	11	7	18
Picked	1	0	1
Done	1	4	5
Total	441	29	470

Error

Counts

470 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(*.f64 (sin.f64 v) e)
	0.4b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
	17.8b	(*.f64 e (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (+.f64 (sin.f64 v) -1)) (/.f64 1 (+.f64 (sin.f64 v) -1))) 1))
	1.9b	(*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3))
	32.0b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
	62.7b	(-.f64 v (/.f64 v e))
	61.1b	v
✓	30.8b	(/.f64 (*.f64 v e) (+.f64 e 1))
	47.5b	(*.f64 e (-.f64 (+.f64 v 1) 1))
▶	31.7b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
▶	48.0b	(*.f64 e (-.f64 1 1))
	1.1b	(/.f64 (.f64 (.f64 (+.f64 (sin.f64 v) 2) (sin.f64 v)) e) (+.f64 (sin.f64 v) 2))
	30.8b	(/.f64 e (/.f64 (+.f64 e 1) v))
▶	0.3b	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
	17.5b	(*.f64 e (+.f64 1 (+.f64 (sin.f64 v) -1)))
✓	31.4b	(*.f64 v e)
	30.8b	(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
	30.9b	(/.f64 v (/.f64 (+.f64 e 1) e))
	8.4b	(*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3)))
✓	17.5b	(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
	48.2b	(-.f64 (+.f64 1 (/.f64 e (/.f64 (+.f64 e 1) v))) 1)
	1.1b	(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
	1.1b	(/.f64 (sin.f64 v) (/.f64 1 e))
▶	0.3b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
	17.6b	(+.f64 (.f64 (+.f64 (sin.f64 v) 1) e) (.f64 -1 e))
▶	17.7b	(*.f64 e (-.f64 (-.f64 (+.f64 (sin.f64 v) 2) 1) 1))
	2.0b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
	0.5b	(/.f64 (sin.f64 v) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) e)) 2))
✓	0.5b	(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))

Compiler

Compiled 568 to 411 computations (27.6% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series7.0ms (0.1%)

Counts

2 → 26

Calls

12 calls:

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

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`prod-diff_binary64`
459×	`log-prod_binary64`
361×	`exp-prod_binary64`
270×	`pow-prod-down_binary64`
255×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	192	23
2	2631	23

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

767×	`times-frac_binary64`
719×	`fma-neg_binary64`
503×	`fma-def_binary64`
466×	`unswap-sqr_binary64`
374×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1001
1	386	980
2	1067	930
3	4497	930

Stop Event

1×	node limit

Counts

132 → 140

Calls

Call 1

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

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

localize5.0ms (0.1%)

Compiler: Compiled 12 to 10 computations (16.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 e 1) (*.f64 v e))
✓	1.1b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series12.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	e	@	inf	(/.f64 (+.f64 e 1) (*.f64 v e))
3.0ms	e	@	0	(/.f64 (+.f64 e 1) (*.f64 v e))
1.0ms	e	@	-inf	(/.f64 (+.f64 e 1) (*.f64 v e))
0.0ms	v	@	0	(/.f64 (+.f64 e 1) (*.f64 v e))
0.0ms	v	@	-inf	(/.f64 (+.f64 e 1) (*.f64 v e))

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

991×	`pow1_binary64`
925×	`log1p-expm1-u_binary64`
925×	`expm1-log1p-u_binary64`
924×	`add-log-exp_binary64`
91×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	178	20
2	2559	20

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

733×	`fma-def_binary64`
463×	`times-frac_binary64`
436×	`distribute-lft-out--_binary64`
375×	`distribute-rgt-neg-in_binary64`
334×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	548
1	107	536
2	270	526
3	970	509
4	4252	502

Stop Event

1×	node limit

Counts

135 → 109

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))

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

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (sin.f64 v) 2)
✓	0.1b	(*.f64 e (-.f64 (-.f64 (+.f64 (sin.f64 v) 2) 1) 1))
✓	0.7b	(-.f64 (+.f64 (sin.f64 v) 2) 1)
✓	3.0b	(-.f64 (-.f64 (+.f64 (sin.f64 v) 2) 1) 1)

Compiler

Compiled 36 to 24 computations (33.3% saved)

series7.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(-.f64 (-.f64 (+.f64 (sin.f64 v) 2) 1) 1)
1.0ms	v	@	0	(*.f64 e (-.f64 (-.f64 (+.f64 (sin.f64 v) 2) 1) 1))
0.0ms	v	@	0	(+.f64 (sin.f64 v) 2)
0.0ms	v	@	-inf	(+.f64 (sin.f64 v) 2)
0.0ms	v	@	inf	(+.f64 (sin.f64 v) 2)

rewrite97.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

416×	`log-prod_binary64`
337×	`prod-diff_binary64`
287×	`pow-prod-down_binary64`
274×	`fma-def_binary64`
256×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	227	21
2	3114	21

Stop Event

1×	node limit

Counts

4 → 248

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (sin.f64 v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 v) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sin.f64 v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (sin.f64 v) 1))))) (#(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 (sin.f64 v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 v)) (pow.f64 (cbrt.f64 (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (.f64 3 (log1p.f64 (sin.f64 v)))) (/.f64 1 (+.f64 (+.f64 (sin.f64 v) 2) (pow.f64 (+.f64 (sin.f64 v) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 v)))) (/.f64 1 (+.f64 (sin.f64 v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 (sin.f64 v) 1)) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (sin.f64 v) 2) (pow.f64 (+.f64 (sin.f64 v) 1) 2)) (expm1.f64 (.f64 3 (log1p.f64 (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sin.f64 v) 2) (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 3 (log1p.f64 (sin.f64 v)))) (+.f64 (+.f64 (sin.f64 v) 2) (pow.f64 (+.f64 (sin.f64 v) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 3 (log1p.f64 (sin.f64 v)))) (+.f64 (pow.f64 (+.f64 (sin.f64 v) 1) 2) (-.f64 1 (.f64 (+.f64 (sin.f64 v) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 v)))) (+.f64 (sin.f64 v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (.f64 3 (log1p.f64 (sin.f64 v))))) (neg.f64 (+.f64 (+.f64 (sin.f64 v) 2) (pow.f64 (+.f64 (sin.f64 v) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 v))))) (neg.f64 (+.f64 (sin.f64 v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 3) 8) (+.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 2) (+.f64 4 (.f64 (+.f64 (sin.f64 v) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 2) 4) (+.f64 (+.f64 (sin.f64 v) 2) 2))))) (#(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) 2) 1/2)))) (#(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 pow.f64 (pow.f64 (sin.f64 v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 (sin.f64 v) 2) (pow.f64 (+.f64 (sin.f64 v) 1) 2)) (expm1.f64 (.f64 3 (log1p.f64 (sin.f64 v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (sin.f64 v) 2) (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 v)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log1p.f64 (sin.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (sin.f64 v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (sin.f64 v) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sin.f64 v)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sin.f64 v)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 v) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sin.f64 v) 2) 1 -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 v) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sin.f64 v) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sin.f64 v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sin.f64 v) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (sin.f64 v) 2)) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 2)) (cbrt.f64 (+.f64 (sin.f64 v) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 2)) (.f64 (cbrt.f64 (+.f64 (sin.f64 v) 2)) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 v)) (pow.f64 (cbrt.f64 (sin.f64 v)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (cbrt.f64 (sin.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (sin.f64 v) 1)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 v) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 v) 1)) 2) (cbrt.f64 (+.f64 (sin.f64 v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 v) 1)) 2) (.f64 (cbrt.f64 (+.f64 (sin.f64 v) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sin.f64 v) 2)) (sqrt.f64 (+.f64 (sin.f64 v) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sin.f64 v) 2)) (.f64 (sqrt.f64 (+.f64 (sin.f64 v) 2)) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 (sin.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sin.f64 v) 1)) (sqrt.f64 (+.f64 (sin.f64 v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sin.f64 v) 1)) (.f64 (sqrt.f64 (+.f64 (sin.f64 v) 1)) 1) -1)))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 v)))) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 v) 2) -4) (+.f64 (sin.f64 v) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (pow.f64 (sin.f64 v) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 v) 2) (-.f64 4 (.f64 (sin.f64 v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 v) 2) -4)) (neg.f64 (+.f64 (sin.f64 v) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 v) 1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (sin.f64 v) 1) 2) (+.f64 (sin.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 v) 1) 3) 1) (+.f64 (pow.f64 (+.f64 (sin.f64 v) 1) 2) (-.f64 1 (+.f64 (sin.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (sin.f64 v) 1) 2)) (-.f64 1 (+.f64 (sin.f64 v) 1)))))) (#(struct:change #<rule 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(+.f64 (sin.f64 v) -2) (+.f64 (pow.f64 (sin.f64 v) 2) -4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sin.f64 v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 v) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (sin.f64 v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sin.f64 v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sin.f64 v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (sin.f64 v) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 (sin.f64 v) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (sin.f64 v) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (+.f64 (sin.f64 v) 2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (+.f64 (sin.f64 v) 2)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 v) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sin.f64 v) 2) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 v) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sin.f64 v) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sin.f64 v) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sin.f64 v) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sin.f64 v) 1) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (sin.f64 v) 2)) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 2)) (cbrt.f64 (+.f64 (sin.f64 v) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 2)) (.f64 (cbrt.f64 (+.f64 (sin.f64 v) 2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 v)) (pow.f64 (cbrt.f64 (sin.f64 v)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (cbrt.f64 (sin.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (sin.f64 v) 1)) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 v) 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 v) 1)) 2) (cbrt.f64 (+.f64 (sin.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 v) 1)) 2) (.f64 (cbrt.f64 (+.f64 (sin.f64 v) 1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sin.f64 v) 2)) (sqrt.f64 (+.f64 (sin.f64 v) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sin.f64 v) 2)) (.f64 (sqrt.f64 (+.f64 (sin.f64 v) 2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 (sin.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sin.f64 v) 1)) (sqrt.f64 (+.f64 (sin.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sin.f64 v) 1)) (.f64 (sqrt.f64 (+.f64 (sin.f64 v) 1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 2) (+.f64 (sin.f64 v) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (.f64 3 (log1p.f64 (sin.f64 v)))) (/.f64 1 (+.f64 (+.f64 (sin.f64 v) 2) (pow.f64 (+.f64 (sin.f64 v) 1) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 8 (pow.f64 (sin.f64 v) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 v) 2) (-.f64 4 (.f64 (sin.f64 v) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 v) 2) 2) -1) (/.f64 1 (+.f64 (sin.f64 v) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sin.f64 v) 3) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (.f64 2 (log1p.f64 (sin.f64 v)))) (/.f64 1 (+.f64 (sin.f64 v) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 v) 2) -4) (/.f64 1 (+.f64 (sin.f64 v) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 v) 3)) 2) (cbrt.f64 (+.f64 (sin.f64 v) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (sin.f64 v) 3)) (sqrt.f64 (+.f64 (sin.f64 v) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (sin.f64 v) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (sin.f64 v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (sin.f64 v) 2)) 1) (-.f64 (sqrt.f64 (+.f64 (sin.f64 v) 2)) 1) 1)))))

simplify141.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1461×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
596×	`cube-prod_binary64`
338×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	396
1	126	384
2	318	368
3	961	364
4	2098	364
5	2279	364
6	2486	364
7	2935	364
8	3815	364
9	3958	364
10	4803	364
11	5189	364
12	5785	364
13	6658	364
14	7769	364

Stop Event

1×	node limit

Counts

300 → 275

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)
1
(+.f64 v 1)
(+.f64 v (+.f64 1 (*.f64 -1/6 (pow.f64 v 3))))
(+.f64 v (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 v 3)) (.f64 1/120 (pow.f64 v 5)))))
(+.f64 (sin.f64 v) 1)
(+.f64 (sin.f64 v) 1)
(+.f64 (sin.f64 v) 1)
(+.f64 (sin.f64 v) 1)
(+.f64 (sin.f64 v) 1)
(+.f64 (sin.f64 v) 1)
(+.f64 (sin.f64 v) 1)
(+.f64 (sin.f64 v) 1)
(*.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)
2
(+.f64 v 2)
(+.f64 v (+.f64 2 (*.f64 -1/6 (pow.f64 v 3))))
(+.f64 v (+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 v 3)) (.f64 1/120 (pow.f64 v 5)))))

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

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)))

Compiler

Compiled 32 to 14 computations (56.3% saved)

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)))
0.0ms	e	@	0	(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`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

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((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 expm1.f64 (log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(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)))))))

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

901×	`fma-neg_binary64`
564×	`fma-def_binary64`
449×	`unswap-sqr_binary64`
410×	`associate-l_binary64`
388×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1526
1	386	1447
2	1231	1385
3	5830	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))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (.f64 (.f64 e e) (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)))))
(fma.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (.f64 (sin.f64 v) (neg.f64 (.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)))))
(/.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 (.f64 e 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) (*.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) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e 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 (.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (.f64 e e)) (pow.f64 (cos.f64 v) 3)) (+.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (sin.f64 v) (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (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 (/.f64 (sin.f64 v) (cos.f64 v)) (/.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) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3))))
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(+.f64 (/.f64 1 v) (fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (/.f64 e v)))
(+.f64 (/.f64 1 v) (fma.f64 v (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (/.f64 e 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 (+.f64 (/.f64 1 v) (fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (.f64 e 1/6))) (/.f64 e 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)))
(/.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))

eval231.0ms (2.6%)

Compiler: Compiled 11442 to 7165 computations (37.4% saved)

prune118.0ms (1.3%)

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	660	19	679
Fresh	15	5	20
Picked	1	0	1
Done	4	4	8
Total	680	28	708

Error

Counts

708 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	17.7b	(*.f64 e (+.f64 (+.f64 (sin.f64 v) 2) -2))
	1.0b	(*.f64 (sin.f64 v) e)
	47.5b	(*.f64 e (-.f64 (+.f64 v 1) 1))
✓	0.5b	(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
	1.9b	(*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3))
	47.5b	(*.f64 e (-.f64 (-.f64 (+.f64 v 2) 1) 1))
	30.8b	(/.f64 v (+.f64 (/.f64 1 e) 1))
✓	48.0b	(*.f64 e (-.f64 1 1))
	1.1b	(/.f64 (.f64 (.f64 (+.f64 (sin.f64 v) 2) (sin.f64 v)) e) (+.f64 (sin.f64 v) 2))
✓	0.3b	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
	26.2b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
	1.2b	(pow.f64 (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (sin.f64 v)) -1)
	30.1b	(/.f64 e (+.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)))))))))
✓	31.4b	(*.f64 v e)
	30.8b	(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
	8.4b	(*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3)))
	31.7b	(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) v) (/.f64 1 e)))
	30.8b	(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) v)) e)
	48.2b	(-.f64 (+.f64 1 (/.f64 e (/.f64 (+.f64 e 1) v))) 1)
	30.0b	(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
	32.3b	(/.f64 1 (/.f64 1 (*.f64 v e)))
	30.8b	(/.f64 e (/.f64 (+.f64 e 1) v))
	0.4b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
	0.5b	(/.f64 (sin.f64 v) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 e) (cos.f64 v))) 2))
	1.1b	(/.f64 (sin.f64 v) (/.f64 1 e))
	62.7b	(-.f64 v (/.f64 v e))
	1.2b	(/.f64 e (/.f64 1 (sin.f64 v)))
	61.1b	v

Compiler

Compiled 325 to 239 computations (26.5% saved)

regimes147.0ms (1.7%)

Counts

74 → 1

Calls

Call 1

Inputs
v
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 1 1))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 1 1))
(*.f64 e (-.f64 (+.f64 v 1) 1))
(/.f64 v (+.f64 (/.f64 1 e) 1))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(*.f64 e (-.f64 (+.f64 v 1) 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 e (-.f64 (-.f64 (+.f64 v 2) 1) 1))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) v)) e)
(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) v) (/.f64 1 e)))
(-.f64 (+.f64 1 (/.f64 e (/.f64 (+.f64 e 1) v))) 1)
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 e (/.f64 1 (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 1 e))
(*.f64 e (+.f64 (+.f64 (sin.f64 v) 2) -2))
(*.f64 e (+.f64 1 (+.f64 (sin.f64 v) -1)))
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(+.f64 (.f64 (+.f64 (sin.f64 v) 1) e) (.f64 -1 e))
(*.f64 e (-.f64 (-.f64 (+.f64 (sin.f64 v) 2) 1) 1))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(/.f64 e (+.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 (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 (+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (.f64 v e)) (+.f64 1 (.f64 e (cos.f64 v))))
(*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v))))
(*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
(*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3))
(*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
(*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3))
(*.f64 e (log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1)))
(/.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 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(pow.f64 (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (sin.f64 v)) -1)
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
(/.f64 (.f64 (.f64 (+.f64 (sin.f64 v) 2) (sin.f64 v)) e) (+.f64 (sin.f64 v) 2))
(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
(/.f64 (sin.f64 v) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 e) (cos.f64 v))) 2))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (*.f64 e e))))) 2)
(/.f64 (cbrt.f64 (pow.f64 (.f64 e (sin.f64 v)) 3)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (pow.f64 (sqrt.f64 (.f64 e (sin.f64 v))) 2) (+.f64 1 (.f64 e (cos.f64 v))))
(*.f64 e (-.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (+.f64 (sin.f64 v) -1)) (/.f64 1 (+.f64 (sin.f64 v) -1))) 1))
(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
(*.f64 e (log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
(/.f64 (sin.f64 v) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) e)) 2))
(*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))
(*.f64 e (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3))
(fma.f64 (sqrt.f64 e) (sqrt.f64 e) (*.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) e))
(/.f64 (.f64 (-.f64 (.f64 e e) (pow.f64 (.f64 e (sqrt.f64 (cos.f64 v))) 4)) (sin.f64 v)) (fma.f64 (cos.f64 v) (.f64 e e) e))
(.f64 e (.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1)))))
(.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))))

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

Calls

3 calls:

44.0ms	v
43.0ms	e
36.0ms	(/.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 766 to 417 computations (45.6% saved)

regimes59.0ms (0.7%)

Counts

43 → 1

Calls

Call 1

Inputs
v
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 1 1))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 1 1))
(*.f64 e (-.f64 (+.f64 v 1) 1))
(/.f64 v (+.f64 (/.f64 1 e) 1))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(*.f64 e (-.f64 (+.f64 v 1) 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 e (-.f64 (-.f64 (+.f64 v 2) 1) 1))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) v)) e)
(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) v) (/.f64 1 e)))
(-.f64 (+.f64 1 (/.f64 e (/.f64 (+.f64 e 1) v))) 1)
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 e (/.f64 1 (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 1 e))
(*.f64 e (+.f64 (+.f64 (sin.f64 v) 2) -2))
(*.f64 e (+.f64 1 (+.f64 (sin.f64 v) -1)))
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(+.f64 (.f64 (+.f64 (sin.f64 v) 1) e) (.f64 -1 e))
(*.f64 e (-.f64 (-.f64 (+.f64 (sin.f64 v) 2) 1) 1))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(/.f64 e (+.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 (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:

24.0ms	v
22.0ms	e

Results

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

Compiler

Compiled 371 to 224 computations (39.6% saved)

regimes64.0ms (0.7%)

Counts

41 → 1

Calls

Call 1

Inputs
v
v
(*.f64 v e)
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 1 1))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 1 1))
(*.f64 e (-.f64 (+.f64 v 1) 1))
(/.f64 v (+.f64 (/.f64 1 e) 1))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(*.f64 e (-.f64 (+.f64 v 1) 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 e (-.f64 (-.f64 (+.f64 v 2) 1) 1))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) v)) e)
(*.f64 v (/.f64 1 (/.f64 (+.f64 e 1) e)))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) v) (/.f64 1 e)))
(-.f64 (+.f64 1 (/.f64 e (/.f64 (+.f64 e 1) v))) 1)
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 e (/.f64 1 (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 1 e))
(*.f64 e (+.f64 (+.f64 (sin.f64 v) 2) -2))
(*.f64 e (+.f64 1 (+.f64 (sin.f64 v) -1)))
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(+.f64 (.f64 (+.f64 (sin.f64 v) 1) e) (.f64 -1 e))
(*.f64 e (-.f64 (-.f64 (+.f64 (sin.f64 v) 2) 1) 1))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(/.f64 e (+.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)))))))))

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

Calls

2 calls:

26.0ms	v
20.0ms	e

Results

Error	Segments	Branch
0.4b	1	`e`
0.4b	1	`v`

Compiler

Compiled 351 to 215 computations (38.7% saved)

regimes44.0ms (0.5%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	v
18.0ms	e

Results

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

Compiler

Compiled 265 to 158 computations (40.4% saved)

regimes47.0ms (0.5%)

Counts

27 → 1

Calls

Call 1

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

24.0ms	e
15.0ms	v

Results

Error	Segments	Branch
30.0b	1	`e`
30.0b	1	`v`

Compiler

Compiled 211 to 132 computations (37.4% saved)

regimes65.0ms (0.7%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	v
26.0ms	e

Results

Error	Segments	Branch
30.8b	1	`e`
30.8b	1	`v`

Compiler

Compiled 190 to 118 computations (37.9% saved)

regimes42.0ms (0.5%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	v
18.0ms	e

Results

Error	Segments	Branch
30.8b	1	`e`
30.8b	1	`v`

Compiler

Compiled 82 to 48 computations (41.5% saved)

regimes32.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	e
13.0ms	v

Results

Error	Segments	Branch
30.8b	1	`e`
30.8b	1	`v`

Compiler

Compiled 54 to 31 computations (42.6% saved)

regimes27.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(*.f64 v e)

Calls

2 calls:

13.0ms	v
11.0ms	e

Results

Error	Segments	Branch
31.4b	1	`e`
31.4b	1	`v`

Compiler

Compiled 40 to 22 computations (45% saved)

regimes13.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
v
v

Outputs
v

Calls

2 calls:

7.0ms	v
5.0ms	e

Results

Error	Segments	Branch
61.1b	1	`e`
61.1b	1	`v`

Compiler

Compiled 10 to 6 computations (40% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	115
1	54	115
2	63	115
3	71	115
4	77	115
5	80	115
6	81	115

Stop Event

1×	fuel
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 (*.f64 e (sin.f64 v)) (+.f64 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 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (+.f64 (/.f64 1 e) 1))
(*.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 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e 1))
(*.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 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 e v) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (+.f64 (/.f64 1 e) 1))
(/.f64 v (+.f64 1 (/.f64 1 e)))
(*.f64 v e)
(*.f64 e v)
v

Compiler

Compiled 98 to 68 computations (30.6% saved)

soundness0.0ms (0%)

end88.0ms (1%)

Compiler: Compiled 80 to 43 computations (46.3% saved)