Details

analyze12.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 14 computations (30% saved)

sample2.4s (32.5%)

Results

1.1s	2059×	body	1024	valid
954.0ms	5218×	body	256	valid
327.0ms	977×	body	512	valid
2.0ms	2×	body	2048	valid

preprocess21.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
▶	0.2b	(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))

Compiler

Compiled 25 to 17 computations (32% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 14 computations (56.3% saved)

series13.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (0.9%)

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))))))))

simplify60.0ms (0.8%)

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)))))

localize15.0ms (0.2%)

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)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	e	@	-inf	(*.f64 e (sin.f64 v))
1.0ms	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))

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	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))))))

simplify69.0ms (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))

eval91.0ms (1.3%)

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

prune92.0ms (1.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	228	16	244
Fresh	0	0	0
Picked	0	1	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
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
▶	1.0b	(/.f64 (pow.f64 (cbrt.f64 (.f64 e (sin.f64 v))) 3) (+.f64 1 (.f64 e (cos.f64 v))))
	31.4b	(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3) (pow.f64 e 3)))
	1.4b	(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
▶	0.2b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
	23.2b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))) 2)
	1.4b	(*.f64 (sin.f64 v) e)
	0.7b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
	13.3b	(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
	30.6b	(/.f64 (*.f64 v e) (+.f64 1 e))
	7.9b	(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3)))
▶	0.2b	(.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (.f64 e (sin.f64 v)))
▶	1.0b	(*.f64 e (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3))
	31.4b	(/.f64 (cbrt.f64 (pow.f64 (.f64 e (sin.f64 v)) 3)) (+.f64 1 (.f64 e (cos.f64 v))))
▶	30.6b	(*.f64 e (/.f64 v (+.f64 e 1)))
	13.3b	(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
	23.2b	(/.f64 (pow.f64 (sqrt.f64 (.f64 e (sin.f64 v))) 2) (+.f64 1 (.f64 e (cos.f64 v))))

Compiler

Compiled 441 to 319 computations (27.7% saved)

localize34.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 17 computations (54.1% saved)

series12.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`pow1_binary64`
893×	`add-log-exp_binary64`
893×	`log1p-expm1-u_binary64`
893×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	199	25
2	2440	25

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

752×	`associate-l_binary64`
715×	`fma-def_binary64`
696×	`associate-r_binary64`
288×	`associate-/r*_binary64`
235×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

96 → 96

Calls

Call 1

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite62.0ms (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 e (/.f64 v (+.f64 e 1)))
(/.f64 v (+.f64 e 1))

Outputs

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

((#(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)))))))

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

494×	`sub-neg_binary64`
483×	`distribute-rgt-neg-in_binary64`
456×	`fma-neg_binary64`
401×	`distribute-lft-neg-in_binary64`
342×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	582
1	156	556
2	430	539
3	1544	496
4	5594	496

Stop Event

1×	node limit

Counts

103 → 86

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 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)))))

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

localize15.0ms (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)

series13.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	v	@	0	(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
3.0ms	e	@	-inf	(/.f64 e (/.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	e	@	-inf	(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
1.0ms	e	@	0	(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))

rewrite69.0ms (0.9%)

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (pow.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2) (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 e) (/.f64 1 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) 1) (/.f64 (cbrt.f64 e) (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) 1) (/.f64 (sqrt.f64 e) (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (/.f64 e (/.f64 1 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (fma.f64 e (cos.f64 v) 1)) (/.f64 (cbrt.f64 e) (/.f64 1 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) (fma.f64 e (cos.f64 v) 1)) (/.f64 (sqrt.f64 e) (/.f64 1 (sin.f64 v))))))) 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simplify76.0ms (1%)

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

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 e (cos.f64 v))
	0.1b	(*.f64 e (sin.f64 v))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3)
✓	17.2b	(cbrt.f64 (*.f64 e (sin.f64 v)))

Compiler

Compiled 50 to 18 computations (64% saved)

series15.0ms (0.2%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	e	@	-inf	(pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3)
2.0ms	v	@	inf	(cbrt.f64 (*.f64 e (sin.f64 v)))
2.0ms	v	@	-inf	(cbrt.f64 (*.f64 e (sin.f64 v)))
1.0ms	v	@	0	(pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3)
1.0ms	e	@	0	(pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3)

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
596×	`add-log-exp_binary64`
596×	`log1p-expm1-u_binary64`
596×	`expm1-log1p-u_binary64`
581×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	166	14
2	1669	14

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 e (sin.f64 v)))
(pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3)

Outputs

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

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

simplify175.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1290×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
625×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
373×	`unpow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	136
1	26	112
2	40	112
3	51	112
4	75	112
5	169	112
6	541	112
7	1207	112
8	1299	112
9	1437	112
10	1600	112
11	1839	112
12	2166	112
13	2594	112
14	3100	112
15	3706	112
16	4429	112
17	4750	112
18	5034	112
19	5258	112
20	5438	112
21	5522	112
22	6465	112
23	7442	112
24	7908	112

Stop Event

1×	node limit

Counts

68 → 55

Calls

Call 1

Inputs
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(.f64 (.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 v) e) (pow.f64 1 1/3))

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

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
✓	0.2b	(*.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)))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)

Compiler

Compiled 56 to 28 computations (50% saved)

series32.0ms (0.4%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	e	@	inf	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)
4.0ms	v	@	0	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)
4.0ms	e	@	0	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)
3.0ms	v	@	inf	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)
3.0ms	v	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)

rewrite84.0ms (1.2%)

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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(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) 3/2))))) (#(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) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1) 1))))))

((#(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)))))))

simplify72.0ms (1%)

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

eval303.0ms (4.2%)

Compiler: Compiled 16172 to 9201 computations (43.1% saved)

prune137.0ms (1.9%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	711	23	734
Fresh	7	4	11
Picked	1	0	1
Done	4	1	5
Total	723	28	751

Error

Counts

751 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	(.f64 e (-.f64 v (.f64 v e)))
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	30.6b	(.f64 e (.f64 (/.f64 1 (+.f64 e 1)) v))
	1.4b	(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
	33.3b	(*.f64 e (pow.f64 (pow.f64 (sin.f64 v) 1/3) 3))
	62.6b	(-.f64 v (/.f64 v e))
	1.4b	(/.f64 e (/.f64 1 (sin.f64 v)))
	13.7b	(/.f64 e (log1p.f64 (expm1.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))
	7.9b	(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3)))
▶	31.3b	(*.f64 v e)
	2.1b	(*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3))
▶	32.5b	(/.f64 e (expm1.f64 (log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))
	13.3b	(*.f64 e (log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))
	32.6b	(/.f64 e (-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 1))
▶	63.0b	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
	1.0b	(/.f64 (.f64 (pow.f64 (cbrt.f64 e) 2) (.f64 (cbrt.f64 e) (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
	1.4b	(*.f64 (sin.f64 v) e)
▶	0.7b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3) (+.f64 1 e))
	43.6b	(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
▶	0.4b	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
	30.6b	(/.f64 (*.f64 v e) (+.f64 1 e))
	61.0b	v
	31.6b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
	30.7b	(/.f64 e (/.f64 (+.f64 e 1) v))
	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))))
	0.9b	(/.f64 e (pow.f64 (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 3))
	13.3b	(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))

Compiler

Compiled 646 to 457 computations (29.3% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 14 computations (54.8% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite70.0ms (1%)

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) 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(#(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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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 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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)))))))

simplify69.0ms (0.9%)

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)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 v (/.f64 v e))
✓	0.1b	(/.f64 (-.f64 v (/.f64 v e)) e)
✓	17.6b	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))

Compiler

Compiled 28 to 6 computations (78.6% saved)

series16.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	v	@	0	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
1.0ms	v	@	inf	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
1.0ms	e	@	0	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
1.0ms	v	@	-inf	(/.f64 (-.f64 v (/.f64 v e)) e)
1.0ms	e	@	-inf	(/.f64 (-.f64 v (/.f64 v e)) e)

rewrite204.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`prod-diff_binary64`
496×	`log-prod_binary64`
336×	`pow-prod-down_binary64`
266×	`egg-rr`
246×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	164	30
2	2643	30

Stop Event

1×	node limit

Counts

3 → 447

Calls

Call 1

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

Outputs

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

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

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-neg_binary64`
524×	`div-sub_binary64`
479×	`distribute-neg-frac_binary64`
458×	`associate-/l*_binary64`
325×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	684
1	54	600
2	121	537
3	310	537
4	1046	537
5	4934	537

Stop Event

1×	node limit

Counts

519 → 461

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series24.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	e	@	-inf	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
1.0ms	v	@	0	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
1.0ms	v	@	-inf	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
1.0ms	v	@	inf	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
1.0ms	e	@	0	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))

rewrite66.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`pow1_binary64`
891×	`add-log-exp_binary64`
891×	`log1p-expm1-u_binary64`
891×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	168	12
2	2344	12

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

839×	`fma-def_binary64`
623×	`associate-l_binary64`
543×	`associate-r_binary64`
463×	`times-frac_binary64`
279×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	472
1	162	453
2	443	432
3	1550	417
4	6991	415

Stop Event

1×	node limit

Counts

68 → 68

Calls

Call 1

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

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

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
	0.1b	(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
✓	0.1b	(/.f64 e (expm1.f64 (log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))
✓	1.7b	(expm1.f64 (log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))

Compiler

Compiled 53 to 25 computations (52.8% saved)

series70.0ms (1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
40.0ms	v	@	inf	(log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
17.0ms	v	@	-inf	(log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
3.0ms	e	@	0	(log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
2.0ms	e	@	-inf	(/.f64 e (expm1.f64 (log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))
1.0ms	e	@	inf	(log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))

rewrite144.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
407×	`exp-prod_binary64`
275×	`pow-prod-down_binary64`
264×	`pow2_binary64`
231×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	202	41
2	2616	41

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

951×	`associate-/l*_binary64`
766×	`associate-/r*_binary64`
372×	`associate-*l/_binary64`
289×	`distribute-rgt-in_binary64`
274×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2664
1	698	2431
2	2563	2368

Stop Event

1×	node limit

Counts

223 → 225

Calls

Call 1

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

Outputs
(/.f64 1 (sin.f64 v))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))
(*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))
(*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(/.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)))
(fma.f64 (+.f64 (.f64 e -1/2) (.f64 1/6 (+.f64 1 e))) v (+.f64 (/.f64 e v) (/.f64 1 v)))
(+.f64 (/.f64 1 v) (fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (/.f64 e v)))
(fma.f64 v (+.f64 (fma.f64 e -1/2 1/6) (*.f64 e 1/6)) (+.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))))))))
(fma.f64 (+.f64 (.f64 e -1/2) (.f64 1/6 (+.f64 1 e))) v (+.f64 (/.f64 e v) (+.f64 (/.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 1 e))) (+.f64 1/120 (*.f64 e 1/120))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (.f64 e 1/24) (fma.f64 (+.f64 1 e) 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 (fma.f64 (pow.f64 v 3) (+.f64 (fma.f64 e 1/24 (+.f64 -1/120 (.f64 e -1/120))) (.f64 (+.f64 (fma.f64 e -1/2 1/6) (.f64 e 1/6)) 1/6)) (/.f64 1 v)) (fma.f64 v (+.f64 (fma.f64 e -1/2 1/6) (.f64 e 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 (.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 1 e))) v (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (fma.f64 (pow.f64 v 5) (-.f64 (.f64 e -1/720) (fma.f64 -1/5040 (+.f64 1 e) (fma.f64 -1/6 (-.f64 (.f64 e 1/24) (fma.f64 -1/6 (+.f64 (.f64 e -1/2) (.f64 1/6 (+.f64 1 e))) (+.f64 1/120 (.f64 e 1/120)))) (.f64 (+.f64 (.f64 e -1/2) (.f64 1/6 (+.f64 1 e))) 1/120)))) (.f64 (pow.f64 v 3) (-.f64 (.f64 e 1/24) (fma.f64 -1/6 (+.f64 (.f64 e -1/2) (.f64 1/6 (+.f64 1 e))) (+.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 3) (-.f64 (.f64 e 1/24) (fma.f64 (+.f64 1 e) 1/120 (.f64 -1/6 (fma.f64 e -1/2 (+.f64 1/6 (.f64 e 1/6)))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 e -1/720) (fma.f64 (+.f64 1 e) -1/5040 (fma.f64 -1/6 (-.f64 (.f64 e 1/24) (fma.f64 (+.f64 1 e) 1/120 (.f64 -1/6 (fma.f64 e -1/2 (+.f64 1/6 (.f64 e 1/6)))))) (.f64 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) 1/120)))))))
(+.f64 (fma.f64 v (+.f64 (fma.f64 e -1/2 1/6) (.f64 e 1/6)) (+.f64 (/.f64 e v) (/.f64 1 v))) (fma.f64 (pow.f64 v 5) (-.f64 (+.f64 (fma.f64 e -1/720 1/5040) (.f64 1/5040 e)) (fma.f64 -1/6 (+.f64 (fma.f64 e 1/24 (+.f64 -1/120 (.f64 e -1/120))) (.f64 (+.f64 (fma.f64 e -1/2 1/6) (.f64 e 1/6)) 1/6)) (.f64 (+.f64 (fma.f64 e -1/2 1/6) (.f64 e 1/6)) 1/120))) (.f64 (pow.f64 v 3) (+.f64 (fma.f64 e 1/24 (+.f64 -1/120 (.f64 e -1/120))) (.f64 (+.f64 (fma.f64 e -1/2 1/6) (*.f64 e 1/6)) 1/6)))))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.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 (cos.f64 v) (*.f64 e e))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(fma.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e e))) (.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(-.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (sin.f64 v) (.f64 (cos.f64 v) (*.f64 e e))))
(.f64 (sin.f64 v) (-.f64 (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (.f64 (cos.f64 v) (.f64 e e))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(fma.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e e))) (fma.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(+.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (neg.f64 (sin.f64 v)) (+.f64 (.f64 (cos.f64 v) (.f64 e e)) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(-.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (sin.f64 v) (+.f64 (.f64 (cos.f64 v) (.f64 e e)) (.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 (/.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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (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 (.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (sin.f64 v) (.f64 (.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 (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 (/.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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (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 (.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (sin.f64 v) (.f64 (.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 v e) (+.f64 1 e))
(*.f64 (/.f64 v (+.f64 1 e)) e)
(*.f64 (/.f64 e (+.f64 1 e)) 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 1 e))) (.f64 1/2 (/.f64 (.f64 e e) (pow.f64 (+.f64 1 e) 2)))) (/.f64 (.f64 v e) (+.f64 1 e)))
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(+.f64 (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) e)) (fma.f64 -1 (log.f64 (/.f64 -1 e)) (log.f64 (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v))))))
(+.f64 (/.f64 (+.f64 1 (sin.f64 v)) (*.f64 (cos.f64 v) e)) (-.f64 (log.f64 (/.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))) (log.f64 (/.f64 -1 e))))
(+.f64 (log.f64 (/.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))) (-.f64 (/.f64 (+.f64 1 (sin.f64 v)) (*.f64 (cos.f64 v) e)) (log.f64 (/.f64 -1 e))))
(+.f64 (/.f64 (.f64 (sin.f64 v) (+.f64 (/.f64 1 (sin.f64 v)) 1)) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (+.f64 (/.f64 1 (sin.f64 v)) 1) 2)) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 e))) (log.f64 (*.f64 -1 (/.f64 (cos.f64 v) (sin.f64 v)))))))
(+.f64 (.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) e)) (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (/.f64 (.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)) (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 e)) (log.f64 (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v)))))))
(+.f64 (/.f64 (+.f64 1 (sin.f64 v)) (.f64 (cos.f64 v) e)) (fma.f64 -1/2 (/.f64 (.f64 (+.f64 1 (sin.f64 v)) (+.f64 1 (sin.f64 v))) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 2))) (-.f64 (log.f64 (/.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))) (log.f64 (/.f64 -1 e)))))
(+.f64 (/.f64 (.f64 (sin.f64 v) (+.f64 (/.f64 1 (sin.f64 v)) 1)) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (+.f64 (/.f64 1 (sin.f64 v)) 1) 2)) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 e))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (+.f64 (/.f64 1 (sin.f64 v)) 1) 3)) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (log.f64 (.f64 -1 (/.f64 (cos.f64 v) (sin.f64 v))))))))
(+.f64 (.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) e)) (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (/.f64 (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 2)) (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 e)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3)) (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) 3) (pow.f64 e 3))) (log.f64 (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v))))))))
(+.f64 (/.f64 (+.f64 1 (sin.f64 v)) (.f64 (cos.f64 v) e)) (fma.f64 -1/2 (/.f64 (.f64 (+.f64 1 (sin.f64 v)) (+.f64 1 (sin.f64 v))) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 2))) (-.f64 (fma.f64 1/3 (*.f64 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) (/.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) 3) (pow.f64 (cos.f64 v) 3))) (log.f64 (/.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)))) (log.f64 (/.f64 -1 e)))))
(+.f64 (/.f64 (+.f64 1 (sin.f64 v)) (.f64 (cos.f64 v) e)) (fma.f64 -1/2 (/.f64 (.f64 (+.f64 1 (sin.f64 v)) (+.f64 1 (sin.f64 v))) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 2))) (-.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 (sin.f64 v) (cos.f64 v)) 3) (pow.f64 (/.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) e) 3)) (log.f64 (/.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)))) (log.f64 (/.f64 -1 e)))))
(+.f64 (*.f64 -1 (log.f64 v)) (log.f64 (+.f64 1 e)))
(fma.f64 -1 (log.f64 v) (log1p.f64 e))
(-.f64 (log1p.f64 e) (log.f64 v))
(+.f64 (*.f64 -1 (log.f64 v)) (+.f64 (log.f64 (+.f64 1 e)) (/.f64 v (+.f64 1 e))))
(+.f64 (fma.f64 -1 (log.f64 v) (log1p.f64 e)) (/.f64 v (+.f64 1 e)))
(-.f64 (+.f64 (log1p.f64 e) (/.f64 v (+.f64 1 e))) (log.f64 v))
(+.f64 (log1p.f64 e) (-.f64 (/.f64 v (+.f64 1 e)) (log.f64 v)))
(+.f64 (.f64 -1 (log.f64 v)) (+.f64 (log.f64 (+.f64 1 e)) (+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (-.f64 (.f64 2 (/.f64 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e))) (+.f64 1 e))) (/.f64 1 (pow.f64 (+.f64 1 e) 2))))) (/.f64 v (+.f64 1 e)))))
(+.f64 (fma.f64 -1 (log.f64 v) (log1p.f64 e)) (fma.f64 1/2 (.f64 (.f64 v v) (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 e -1/2) (*.f64 1/6 (+.f64 1 e))) (+.f64 1 e))) (/.f64 1 (pow.f64 (+.f64 1 e) 2)))) (/.f64 v (+.f64 1 e))))
(+.f64 (-.f64 (log1p.f64 e) (log.f64 v)) (fma.f64 1/2 (.f64 v (.f64 v (fma.f64 2 (/.f64 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (+.f64 1 e)) (/.f64 -1 (pow.f64 (+.f64 1 e) 2))))) (/.f64 v (+.f64 1 e))))
(+.f64 (-.f64 (log1p.f64 e) (log.f64 v)) (fma.f64 1/2 (.f64 v (.f64 v (fma.f64 2 (+.f64 (/.f64 (*.f64 e -1/2) (+.f64 1 e)) 1/6) (/.f64 -1 (pow.f64 (+.f64 1 e) 2))))) (/.f64 v (+.f64 1 e))))
(+.f64 (.f64 -1 (log.f64 v)) (+.f64 (log.f64 (+.f64 1 e)) (+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (-.f64 (.f64 2 (/.f64 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e))) (+.f64 1 e))) (/.f64 1 (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 v (+.f64 1 e)) (.f64 1/6 (.f64 (pow.f64 v 3) (+.f64 (.f64 -6 (/.f64 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e))) (pow.f64 (+.f64 1 e) 2))) (.f64 2 (/.f64 1 (pow.f64 (+.f64 1 e) 3))))))))))
(+.f64 (fma.f64 -1 (log.f64 v) (log1p.f64 e)) (+.f64 (fma.f64 1/2 (.f64 (.f64 v v) (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 e -1/2) (.f64 1/6 (+.f64 1 e))) (+.f64 1 e))) (/.f64 1 (pow.f64 (+.f64 1 e) 2)))) (/.f64 v (+.f64 1 e))) (.f64 1/6 (.f64 (pow.f64 v 3) (fma.f64 -6 (/.f64 (+.f64 (.f64 e -1/2) (*.f64 1/6 (+.f64 1 e))) (pow.f64 (+.f64 1 e) 2)) (/.f64 2 (pow.f64 (+.f64 1 e) 3)))))))
(+.f64 (-.f64 (log1p.f64 e) (log.f64 v)) (fma.f64 1/2 (.f64 v (.f64 v (fma.f64 2 (/.f64 (fma.f64 e -1/2 (+.f64 1/6 (.f64 e 1/6))) (+.f64 1 e)) (/.f64 -1 (pow.f64 (+.f64 1 e) 2))))) (fma.f64 1/6 (.f64 (pow.f64 v 3) (fma.f64 -6 (/.f64 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (pow.f64 (+.f64 1 e) 2)) (/.f64 2 (pow.f64 (+.f64 1 e) 3)))) (/.f64 v (+.f64 1 e)))))
(+.f64 (-.f64 (log1p.f64 e) (log.f64 v)) (fma.f64 1/2 (.f64 v (.f64 v (fma.f64 2 (+.f64 (/.f64 (.f64 e -1/2) (+.f64 1 e)) 1/6) (/.f64 -1 (pow.f64 (+.f64 1 e) 2))))) (fma.f64 1/6 (.f64 (pow.f64 v 3) (fma.f64 -6 (/.f64 (+.f64 (/.f64 (*.f64 e -1/2) (+.f64 1 e)) 1/6) (+.f64 1 e)) (/.f64 2 (pow.f64 (+.f64 1 e) 3)))) (/.f64 v (+.f64 1 e)))))
(log.f64 (+.f64 (/.f64 1 (sin.f64 v)) (+.f64 1 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))))
(log.f64 (+.f64 (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)) (+.f64 1 (/.f64 1 (sin.f64 v)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))))
(log1p.f64 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)))
(log.f64 (+.f64 (/.f64 1 (sin.f64 v)) (+.f64 1 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))))
(log.f64 (+.f64 (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)) (+.f64 1 (/.f64 1 (sin.f64 v)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))))
(log1p.f64 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)))
(log.f64 (+.f64 (/.f64 1 (sin.f64 v)) (+.f64 1 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))))
(log.f64 (+.f64 (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)) (+.f64 1 (/.f64 1 (sin.f64 v)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))))
(log1p.f64 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)))
(log.f64 (+.f64 (/.f64 1 (sin.f64 v)) (+.f64 1 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))))
(log.f64 (+.f64 (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)) (+.f64 1 (/.f64 1 (sin.f64 v)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))))
(log1p.f64 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)))
(log.f64 (+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (+.f64 1 (/.f64 1 (sin.f64 v)))))
(log.f64 (+.f64 (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)) (+.f64 1 (/.f64 1 (sin.f64 v)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))))
(log1p.f64 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)))
(log.f64 (+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (+.f64 1 (/.f64 1 (sin.f64 v)))))
(log.f64 (+.f64 (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)) (+.f64 1 (/.f64 1 (sin.f64 v)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))))
(log1p.f64 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)))
(log.f64 (+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (+.f64 1 (/.f64 1 (sin.f64 v)))))
(log.f64 (+.f64 (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)) (+.f64 1 (/.f64 1 (sin.f64 v)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))))
(log1p.f64 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)))
(log.f64 (+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (+.f64 1 (/.f64 1 (sin.f64 v)))))
(log.f64 (+.f64 (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)) (+.f64 1 (/.f64 1 (sin.f64 v)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))))
(log1p.f64 (+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)))

eval395.0ms (5.4%)

Compiler: Compiled 27294 to 12097 computations (55.7% saved)

prune227.0ms (3.1%)

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	985	19	1004
Fresh	10	12	22
Picked	1	0	1
Done	2	3	5
Total	998	34	1032

Error

Counts

1032 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	1.9b	(pow.f64 (/.f64 (+.f64 e 1) (*.f64 e (sin.f64 v))) -1)
	63.0b	(.f64 e (.f64 (/.f64 1 e) (-.f64 v (/.f64 v e))))
	31.1b	(.f64 e (-.f64 v (.f64 v e)))
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	1.5b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 3)
	62.6b	(*.f64 v (-.f64 1 (/.f64 1 e)))
▶	30.6b	(.f64 e (.f64 (/.f64 1 (+.f64 e 1)) v))
	1.1b	(/.f64 (sin.f64 v) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) e)) 3))
	62.6b	(-.f64 v (/.f64 v e))
	33.2b	(/.f64 e (expm1.f64 (log.f64 (+.f64 (/.f64 1 (sin.f64 v)) 1))))
▶	60.1b	(sin.f64 v)
	7.9b	(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3)))
✓	31.3b	(*.f64 v e)
	0.9b	(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
	2.1b	(*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3))
✓	63.0b	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
	1.0b	(/.f64 (.f64 (pow.f64 (cbrt.f64 e) 2) (.f64 (cbrt.f64 e) (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
	62.9b	(/.f64 e (/.f64 e (-.f64 v (/.f64 v e))))
▶	0.4b	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
	61.0b	v
	13.7b	(/.f64 e (log1p.f64 (expm1.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))
▶	62.6b	(/.f64 (neg.f64 v) e)
	31.6b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
	1.4b	(*.f64 (sin.f64 v) e)
	1.4b	(/.f64 e (/.f64 1 (sin.f64 v)))
	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))))
	63.3b	(.f64 e (-.f64 (/.f64 v e) (/.f64 v (.f64 e e))))
	43.6b	(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
	63.0b	(*.f64 e (/.f64 (neg.f64 (/.f64 v e)) e))
	30.6b	(/.f64 (*.f64 v e) (+.f64 1 e))
▶	33.2b	(/.f64 e (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 v)))))
	1.6b	(/.f64 (sin.f64 v) (/.f64 1 e))
	30.7b	(/.f64 e (/.f64 (+.f64 e 1) v))
	13.3b	(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))

Compiler

Compiled 704 to 492 computations (30.1% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series9.0ms (0.1%)

Counts

2 → 26

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(+.f64 (/.f64 1 e) (cos.f64 v))
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)))

rewrite88.0ms (1.2%)

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 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(#(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))))))

simplify62.0ms (0.9%)

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

localize4.0ms (0.1%)

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 20 computations (31% saved)

series4.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite78.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`pow1_binary64`
799×	`log1p-expm1-u_binary64`
799×	`expm1-log1p-u_binary64`
798×	`add-log-exp_binary64`
781×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	171	24
2	2245	24

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

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

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

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

677×	`sub-neg_binary64`
570×	`fma-neg_binary64`
379×	`fma-def_binary64`
373×	`associate-l_binary64`
351×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	760
1	200	723
2	562	706
3	1891	657
4	6718	657

Stop Event

1×	node limit

Counts

121 → 104

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 1 (sin.f64 v)))
✓	0.1b	(/.f64 1 (sin.f64 v))
✓	0.1b	(/.f64 e (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 v)))))
✓	1.7b	(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 v))))

Compiler

Compiled 30 to 18 computations (40% saved)

series74.0ms (1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
45.0ms	v	@	inf	(log1p.f64 (/.f64 1 (sin.f64 v)))
24.0ms	v	@	-inf	(log1p.f64 (/.f64 1 (sin.f64 v)))
1.0ms	v	@	0	(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 v))))
1.0ms	v	@	inf	(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 v))))
1.0ms	v	@	-inf	(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 v))))

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`pow1_binary64`
714×	`add-log-exp_binary64`
714×	`expm1-log1p-u_binary64`
713×	`log1p-expm1-u_binary64`
697×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	162	26
2	1992	26

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

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

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

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-def_binary64`
750×	`fma-neg_binary64`
409×	`unswap-sqr_binary64`
385×	`associate-l_binary64`
380×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	457
1	140	447
2	362	436
3	1117	433
4	3239	433
5	5296	433

Stop Event

1×	node limit

Counts

148 → 99

Calls

Call 1

Inputs
(/.f64 1 v)
(+.f64 (*.f64 1/6 v) (/.f64 1 v))
(+.f64 (.f64 7/360 (pow.f64 v 3)) (+.f64 (.f64 1/6 v) (/.f64 1 v)))
(+.f64 (.f64 7/360 (pow.f64 v 3)) (+.f64 (.f64 1/6 v) (+.f64 (*.f64 31/15120 (pow.f64 v 5)) (/.f64 1 v))))
(/.f64 1 (sin.f64 v))
(/.f64 1 (sin.f64 v))
(/.f64 1 (sin.f64 v))
(/.f64 1 (sin.f64 v))
(/.f64 1 (sin.f64 v))
(/.f64 1 (sin.f64 v))
(/.f64 1 (sin.f64 v))
(/.f64 1 (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)
(/.f64 1 v)
(+.f64 (*.f64 1/6 v) (/.f64 1 v))
(+.f64 (.f64 7/360 (pow.f64 v 3)) (+.f64 (.f64 1/6 v) (/.f64 1 v)))
(+.f64 (.f64 7/360 (pow.f64 v 3)) (+.f64 (.f64 1/6 v) (+.f64 (*.f64 31/15120 (pow.f64 v 5)) (/.f64 1 v))))
(*.f64 -1 (log.f64 v))
(+.f64 (*.f64 -1 (log.f64 v)) v)
(+.f64 (.f64 -1 (log.f64 v)) (+.f64 v (.f64 -1/3 (pow.f64 v 2))))
(+.f64 (.f64 1/6 (pow.f64 v 3)) (+.f64 (.f64 -1 (log.f64 v)) (+.f64 v (*.f64 -1/3 (pow.f64 v 2)))))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))

Outputs
(/.f64 1 v)
(+.f64 (*.f64 1/6 v) (/.f64 1 v))
(fma.f64 1/6 v (/.f64 1 v))
(fma.f64 v 1/6 (/.f64 1 v))
(+.f64 (.f64 7/360 (pow.f64 v 3)) (+.f64 (.f64 1/6 v) (/.f64 1 v)))
(fma.f64 7/360 (pow.f64 v 3) (fma.f64 1/6 v (/.f64 1 v)))
(fma.f64 7/360 (pow.f64 v 3) (fma.f64 v 1/6 (/.f64 1 v)))
(fma.f64 v 1/6 (fma.f64 7/360 (pow.f64 v 3) (/.f64 1 v)))
(+.f64 (.f64 7/360 (pow.f64 v 3)) (+.f64 (.f64 1/6 v) (+.f64 (*.f64 31/15120 (pow.f64 v 5)) (/.f64 1 v))))
(fma.f64 7/360 (pow.f64 v 3) (fma.f64 1/6 v (fma.f64 31/15120 (pow.f64 v 5) (/.f64 1 v))))
(fma.f64 7/360 (pow.f64 v 3) (fma.f64 v 1/6 (fma.f64 31/15120 (pow.f64 v 5) (/.f64 1 v))))
(fma.f64 v (fma.f64 v (*.f64 v 7/360) 1/6) (fma.f64 31/15120 (pow.f64 v 5) (/.f64 1 v)))
(fma.f64 31/15120 (pow.f64 v 5) (fma.f64 v 1/6 (fma.f64 7/360 (pow.f64 v 3) (/.f64 1 v))))
(/.f64 1 (sin.f64 v))
(/.f64 1 (sin.f64 v))
(/.f64 1 (sin.f64 v))
(/.f64 1 (sin.f64 v))
(/.f64 1 (sin.f64 v))
(/.f64 1 (sin.f64 v))
(/.f64 1 (sin.f64 v))
(/.f64 1 (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 (+.f64 v (.f64 (pow.f64 v 3) -1/6)))
(*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (.f64 (pow.f64 v 3) e) (fma.f64 1/120 (.f64 (pow.f64 v 5) e) (*.f64 v e)))
(fma.f64 -1/6 (.f64 (pow.f64 v 3) e) (.f64 e (+.f64 v (*.f64 (pow.f64 v 5) 1/120))))
(.f64 e (+.f64 (.f64 (pow.f64 v 3) -1/6) (fma.f64 (pow.f64 v 5) 1/120 v)))
(*.f64 e (fma.f64 (pow.f64 v 3) -1/6 (fma.f64 (pow.f64 v 5) 1/120 v)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (.f64 (pow.f64 v 3) e) (fma.f64 1/120 (.f64 (pow.f64 v 5) e) (fma.f64 v e (.f64 -1/5040 (.f64 e (pow.f64 v 7))))))
(fma.f64 -1/6 (.f64 (pow.f64 v 3) e) (fma.f64 1/120 (.f64 (pow.f64 v 5) e) (.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 (pow.f64 v 3) -1/6 (.f64 (pow.f64 v 5) 1/120))))
(.f64 e (+.f64 (.f64 (pow.f64 v 5) 1/120) (fma.f64 (pow.f64 v 3) -1/6 (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)
(/.f64 1 v)
(+.f64 (*.f64 1/6 v) (/.f64 1 v))
(fma.f64 1/6 v (/.f64 1 v))
(fma.f64 v 1/6 (/.f64 1 v))
(+.f64 (.f64 7/360 (pow.f64 v 3)) (+.f64 (.f64 1/6 v) (/.f64 1 v)))
(fma.f64 7/360 (pow.f64 v 3) (fma.f64 1/6 v (/.f64 1 v)))
(fma.f64 7/360 (pow.f64 v 3) (fma.f64 v 1/6 (/.f64 1 v)))
(fma.f64 v 1/6 (fma.f64 7/360 (pow.f64 v 3) (/.f64 1 v)))
(+.f64 (.f64 7/360 (pow.f64 v 3)) (+.f64 (.f64 1/6 v) (+.f64 (*.f64 31/15120 (pow.f64 v 5)) (/.f64 1 v))))
(fma.f64 7/360 (pow.f64 v 3) (fma.f64 1/6 v (fma.f64 31/15120 (pow.f64 v 5) (/.f64 1 v))))
(fma.f64 7/360 (pow.f64 v 3) (fma.f64 v 1/6 (fma.f64 31/15120 (pow.f64 v 5) (/.f64 1 v))))
(fma.f64 v (fma.f64 v (*.f64 v 7/360) 1/6) (fma.f64 31/15120 (pow.f64 v 5) (/.f64 1 v)))
(fma.f64 31/15120 (pow.f64 v 5) (fma.f64 v 1/6 (fma.f64 7/360 (pow.f64 v 3) (/.f64 1 v))))
(*.f64 -1 (log.f64 v))
(neg.f64 (log.f64 v))
(+.f64 (*.f64 -1 (log.f64 v)) v)
(fma.f64 -1 (log.f64 v) v)
(-.f64 v (log.f64 v))
(+.f64 (.f64 -1 (log.f64 v)) (+.f64 v (.f64 -1/3 (pow.f64 v 2))))
(fma.f64 -1 (log.f64 v) (+.f64 v (.f64 -1/3 (.f64 v v))))
(-.f64 (fma.f64 -1/3 (*.f64 v v) v) (log.f64 v))
(-.f64 (fma.f64 v (*.f64 v -1/3) v) (log.f64 v))
(-.f64 (*.f64 v (fma.f64 v -1/3 1)) (log.f64 v))
(+.f64 (.f64 1/6 (pow.f64 v 3)) (+.f64 (.f64 -1 (log.f64 v)) (+.f64 v (*.f64 -1/3 (pow.f64 v 2)))))
(fma.f64 1/6 (pow.f64 v 3) (fma.f64 -1 (log.f64 v) (+.f64 v (.f64 -1/3 (.f64 v v)))))
(fma.f64 1/6 (pow.f64 v 3) (-.f64 (fma.f64 -1/3 (*.f64 v v) v) (log.f64 v)))
(-.f64 (fma.f64 1/6 (pow.f64 v 3) (fma.f64 v (*.f64 v -1/3) v)) (log.f64 v))
(fma.f64 (.f64 v v) (+.f64 (.f64 v 1/6) -1/3) (-.f64 v (log.f64 v)))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log1p.f64 (/.f64 1 (sin.f64 v)))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log1p.f64 (/.f64 1 (sin.f64 v)))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log1p.f64 (/.f64 1 (sin.f64 v)))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log1p.f64 (/.f64 1 (sin.f64 v)))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log1p.f64 (/.f64 1 (sin.f64 v)))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log1p.f64 (/.f64 1 (sin.f64 v)))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log1p.f64 (/.f64 1 (sin.f64 v)))
(log.f64 (+.f64 1 (/.f64 1 (sin.f64 v))))
(log1p.f64 (/.f64 1 (sin.f64 v)))

eval108.0ms (1.5%)

Compiler: Compiled 5140 to 3185 computations (38% saved)

prune67.0ms (0.9%)

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	326	17	343
Fresh	13	13	26
Picked	1	0	1
Done	0	7	7
Total	340	37	377

Error

Counts

377 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	1.9b	(pow.f64 (/.f64 (+.f64 e 1) (*.f64 e (sin.f64 v))) -1)
	63.0b	(.f64 e (.f64 (/.f64 1 e) (-.f64 v (/.f64 v e))))
	31.1b	(.f64 e (-.f64 v (.f64 v e)))
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
✓	30.6b	(.f64 e (.f64 (/.f64 1 (+.f64 e 1)) v))
	62.6b	(*.f64 v (-.f64 1 (/.f64 1 e)))
	62.6b	(-.f64 v (/.f64 v e))
	2.2b	(.f64 (pow.f64 (cbrt.f64 e) 2) (.f64 (cbrt.f64 e) (sin.f64 v)))
	5.0b	(/.f64 e (/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) (+.f64 1 (/.f64 1 (sin.f64 v)))) 1) (+.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) 1)))
✓	60.1b	(sin.f64 v)
✓	31.3b	(*.f64 v e)
	0.9b	(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
	1.4b	(/.f64 e (/.f64 1 (sin.f64 v)))
	2.1b	(*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3))
✓	63.0b	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
	62.9b	(/.f64 e (/.f64 e (-.f64 v (/.f64 v e))))
✓	0.4b	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
✓	62.6b	(/.f64 (neg.f64 v) e)
	0.6b	(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e -1/2) (pow.f64 e -1/2) (cos.f64 v)))
	42.8b	(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
	1.6b	(/.f64 (sin.f64 v) (/.f64 1 e))
	1.4b	(*.f64 (sin.f64 v) e)
	63.3b	(.f64 e (.f64 (+.f64 (/.f64 1 e) (/.f64 -1 (*.f64 e e))) v))
	30.7b	(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))
	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))))
	31.4b	(/.f64 e (/.f64 1 v))
	31.9b	(cbrt.f64 (/.f64 (pow.f64 e 3) (pow.f64 (/.f64 1 (sin.f64 v)) 3)))
	63.0b	(*.f64 e (/.f64 (neg.f64 (/.f64 v e)) e))
	61.0b	v
	13.3b	(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
	30.6b	(/.f64 v (+.f64 (/.f64 1 e) 1))
	43.6b	(-.f64 (+.f64 1 (/.f64 (*.f64 v e) (+.f64 1 e))) 1)
	2.7b	(pow.f64 (/.f64 (/.f64 1 (sin.f64 v)) e) -1)
	1.5b	(/.f64 e (-.f64 (+.f64 1 (/.f64 1 (sin.f64 v))) 1))
	2.1b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
	14.2b	(/.f64 e (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 v)))))
	63.3b	(.f64 e (-.f64 (/.f64 v e) (/.f64 v (.f64 e e))))

Compiler

Compiled 401 to 285 computations (28.9% saved)

regimes152.0ms (2.1%)

Counts

77 → 1

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	e
41.0ms	v
33.0ms	(/.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 764 to 400 computations (47.6% saved)

regimes56.0ms (0.8%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	v
22.0ms	e

Results

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

Compiler

Compiled 315 to 163 computations (48.3% saved)

regimes52.0ms (0.7%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	v
20.0ms	e

Results

Error	Segments	Branch
0.7b	1	`e`
0.7b	1	`v`

Compiler

Compiled 296 to 153 computations (48.3% saved)

regimes50.0ms (0.7%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	v
18.0ms	e

Results

Error	Segments	Branch
0.9b	1	`e`
0.9b	1	`v`

Compiler

Compiled 270 to 137 computations (49.3% saved)

regimes49.0ms (0.7%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	e
18.0ms	v

Results

Error	Segments	Branch
1.4b	1	`e`
1.4b	1	`v`

Compiler

Compiled 262 to 133 computations (49.2% saved)

regimes38.0ms (0.5%)

Counts

27 → 1

Calls

Call 1

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

16.0ms	v
15.0ms	e

Results

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

Compiler

Compiled 216 to 113 computations (47.7% saved)

regimes34.0ms (0.5%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	e
13.0ms	v

Results

Error	Segments	Branch
30.6b	1	`e`
30.6b	1	`v`

Compiler

Compiled 193 to 98 computations (49.2% saved)

regimes14.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(*.f64 v e)

Calls

2 calls:

7.0ms	v
5.0ms	e

Results

Error	Segments	Branch
31.3b	1	`e`
31.3b	1	`v`

Compiler

Compiled 27 to 14 computations (48.1% saved)

regimes7.0ms (0.1%)

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:

3.0ms	e
3.0ms	v

Results

Error	Segments	Branch
61.0b	1	`e`
61.0b	1	`v`

Compiler

Compiled 10 to 6 computations (40% saved)

simplify10.0ms (0.1%)

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	33	107
1	52	107
2	61	107
3	69	107
4	75	107
5	78	107
6	79	107

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

Compiler

Compiled 90 to 63 computations (30% saved)

soundness0.0ms (0%)

end69.0ms (0.9%)

Compiler: Compiled 74 to 40 computations (45.9% saved)