Details

analyze27.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 14 computations (30% saved)

sample3.1s (43.4%)

Results

1.3s	2091×	body	1024	valid
1.2s	5066×	body	256	valid
493.0ms	1092×	body	512	valid
6.0ms	7×	body	2048	valid

Bogosity

preprocess18.0ms (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)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 25 to 17 computations (32% saved)

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

Compiler

Compiled 32 to 14 computations (56.3% saved)

series12.0ms (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)))

rewrite63.0ms (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))))))))

simplify61.0ms (0.9%)

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)))))

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 12 computations (64.7% saved)

series11.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite71.0ms (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 (cos.f64 v))
(*.f64 e (sin.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 (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 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 (/.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 (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 (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 (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 (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 (.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 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -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 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) 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 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e)) -1))))))

Outputs

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

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
653×	`fma-def_binary64`
501×	`associate-l_binary64`
473×	`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	5343	1224

Stop Event

1×	node limit

Counts

175 → 143

Calls

Call 1

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

eval97.0ms (1.4%)

Compiler: Compiled 5596 to 3131 computations (44% saved)

prune47.0ms (0.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	232	13	245
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	233	14	247

Error

0.0b

Counts

247 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.2b	(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
	0.8b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
	1.2b	(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
	0.2b	(*.f64 e (log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
	0.3b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
▶	24.4b	(/.f64 (pow.f64 (sqrt.f64 (.f64 e (sin.f64 v))) 2) (+.f64 1 (.f64 e (cos.f64 v))))
▶	0.1b	(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))))
	1.2b	(*.f64 (sin.f64 v) e)
▶	0.6b	(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (*.f64 e e))))
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	1.1b	(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
	1.0b	(/.f64 (pow.f64 (cbrt.f64 (.f64 e (sin.f64 v))) 3) (+.f64 1 (.f64 e (cos.f64 v))))
▶	28.2b	(*.f64 (/.f64 e (+.f64 e 1)) v)
	31.4b	(*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))

Compiler

Compiled 349 to 247 computations (29.2% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 39 to 15 computations (61.5% saved)

series7.0ms (0.1%)

Counts

3 → 44

Calls

18 calls:

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

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log-prod_binary64`
361×	`prod-diff_binary64`
343×	`pow-prod-down_binary64`
274×	`pow2_binary64`
257×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	207	33
2	2772	33

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

Outputs

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

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

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

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

953×	`fma-def_binary64`
331×	`sub-neg_binary64`
325×	`*-commutative_binary64`
258×	`associate-+l+_binary64`
252×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	1852
1	516	1786
2	1819	1742
3	7181	1726

Stop Event

1×	node limit

Counts

151 → 162

Calls

Call 1

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`pow1_binary64`
766×	`log1p-expm1-u_binary64`
766×	`expm1-log1p-u_binary64`
765×	`add-log-exp_binary64`
749×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	150	17
2	2067	17

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

671×	`times-frac_binary64`
468×	`sub-neg_binary64`
408×	`distribute-rgt-neg-in_binary64`
408×	`fma-neg_binary64`
300×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	438
1	145	422
2	391	407
3	1311	388
4	4914	388

Stop Event

1×	node limit

Counts

92 → 87

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 8 computations (77.8% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

831×	`prod-diff_binary64`
518×	`log-prod_binary64`
356×	`pow-prod-down_binary64`
297×	`fma-def_binary64`
260×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	193	26
2	2678	26

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

496×	`fma-def_binary64`
444×	`distribute-rgt-out_binary64`
374×	`+-commutative_binary64`
372×	`distribute-rgt-in_binary64`
362×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	813
1	203	783
2	736	761
3	3603	738
4	6545	738

Stop Event

1×	node limit

Counts

90 → 67

Calls

Call 1

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

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

localize25.0ms (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))
✓	0.1b	(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
✓	0.3b	(+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
✓	4.0b	(-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)

Compiler

Compiled 58 to 30 computations (48.3% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite88.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 203

Calls

Call 1

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

Outputs

((#(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 1 (*.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 0)))) (#(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 0 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) 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 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 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 (/.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 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2) (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2))))))) (#(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 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (/.f64 1 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2)))))) (#(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 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simplify94.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

275 → 273

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 e (sin.f64 v))
	0.1b	(*.f64 e (cos.f64 v))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)
✓	15.6b	(sqrt.f64 (*.f64 e (sin.f64 v)))

Compiler

Compiled 50 to 18 computations (64% saved)

series12.0ms (0.2%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)
1.0ms	e	@	-inf	(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)
1.0ms	v	@	0	(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)
1.0ms	e	@	0	(sqrt.f64 (*.f64 e (sin.f64 v)))
1.0ms	e	@	0	(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`pow1_binary64`
565×	`add-log-exp_binary64`
565×	`log1p-expm1-u_binary64`
565×	`expm1-log1p-u_binary64`
551×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	163	14
2	1592	14

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 e (sin.f64 v)))
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	112
1	7	112

Stop Event

1×

saturated

Counts

66 → 51

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)

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

eval290.0ms (4.1%)

Compiler: Compiled 16486 to 9270 computations (43.8% saved)

prune141.0ms (2%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	741	20	761
Fresh	8	0	8
Picked	1	0	1
Done	1	4	5
Total	751	24	775

Error

0.0b

Counts

775 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	16.2b	(.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e)))) 1))
▶	16.9b	(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
✓	0.6b	(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (*.f64 e e))))
▶	24.8b	(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 e))
	62.5b	(-.f64 v (/.f64 v e))
▶	62.5b	(*.f64 (-.f64 1 (/.f64 1 e)) v)
	1.1b	(/.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (*.f64 e (sin.f64 v))))
	61.0b	v
	0.3b	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))
	16.3b	(+.f64 (.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) e) (.f64 -1 e))
✓	0.1b	(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))))
	44.2b	(*.f64 e (-.f64 1 1))
	16.3b	(+.f64 e (*.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) e))
✓	28.2b	(*.f64 (/.f64 e (+.f64 e 1)) v)
	28.3b	(/.f64 e (/.f64 (+.f64 e 1) v))
	28.3b	(.f64 (.f64 v (-.f64 1 e)) e)
	1.5b	(pow.f64 (cbrt.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (*.f64 e e))))) 3)
▶	28.7b	(*.f64 v e)
	0.8b	(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
	1.2b	(*.f64 (sin.f64 v) e)
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	28.3b	(/.f64 v (/.f64 (+.f64 e 1) e))
▶	0.2b	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
	0.4b	(/.f64 (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 1 (*.f64 e (cos.f64 v))))

Compiler

Compiled 483 to 338 computations (30% 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)
✓	0.2b	(/.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	@	0	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
1.0ms	e	@	-inf	(/.f64 (fma.f64 e (cos.f64 v) 1) e)
1.0ms	v	@	inf	(/.f64 (fma.f64 e (cos.f64 v) 1) e)
1.0ms	v	@	-inf	(/.f64 (fma.f64 e (cos.f64 v) 1) e)
0.0ms	e	@	0	(/.f64 (fma.f64 e (cos.f64 v) 1) e)

rewrite69.0ms (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))))))) 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((#(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))))) 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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 (1%)

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)))))))))
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(+.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)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`pow1_binary64`
682×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	148	10
2	1873	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

122×	`fma-def_binary64`
72×	`fma-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
20×	`sub-neg_binary64`
18×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	197
1	21	155
2	41	155
3	70	155
4	135	155
5	229	155
6	405	155
7	494	155
8	570	155
9	576	155

Stop Event

1×

saturated

Counts

43 → 25

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 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)))

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 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))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
✓	0.3b	(+.f64 (sin.f64 v) 1)
✓	4.0b	(-.f64 (+.f64 (sin.f64 v) 1) 1)

Compiler

Compiled 25 to 15 computations (40% saved)

series3.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite63.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

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

Outputs

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

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

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

simplify122.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

137 → 118

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 e))
	0.1b	(*.f64 e (sin.f64 v))
	0.2b	(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)
	15.6b	(sqrt.f64 (*.f64 e (sin.f64 v)))

Compiler

Compiled 38 to 16 computations (57.9% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 e))
1.0ms	e	@	-inf	(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 e))
1.0ms	v	@	inf	(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 e))
1.0ms	v	@	-inf	(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 e))
1.0ms	e	@	0	(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 e))

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`log-prod_binary64`
370×	`exp-prod_binary64`
296×	`pow-prod-down_binary64`
253×	`pow2_binary64`
178×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	233	12
2	2699	12

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

774×	`associate-/l*_binary64`
534×	`cancel-sign-sub-inv_binary64`
434×	`associate-/r*_binary64`
307×	`*-commutative_binary64`
295×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	472
1	207	453
2	642	428
3	2325	413

Stop Event

1×	node limit

Counts

84 → 88

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

eval134.0ms (1.9%)

Compiler: Compiled 7184 to 4075 computations (43.3% saved)

prune88.0ms (1.2%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	449	16	465
Fresh	8	7	15
Picked	1	0	1
Done	4	4	8
Total	462	27	489

Error

Counts

489 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.9b	(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
	16.9b	(+.f64 (.f64 (+.f64 (sin.f64 v) 1) e) (.f64 -1 e))
▶	0.9b	(+.f64 0 (/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v))))
▶	0.2b	(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e))
	1.1b	(/.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (*.f64 e (sin.f64 v))))
	43.6b	(/.f64 (-.f64 (+.f64 1 (*.f64 e (sin.f64 v))) 1) (+.f64 1 e))
	1.1b	(/.f64 (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 1 e))
	60.1b	(sin.f64 v)
	25.0b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
▶	28.3b	(/.f64 v (/.f64 (+.f64 e 1) e))
	2.1b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
	44.2b	(*.f64 e (-.f64 1 1))
	61.0b	v
	1.3b	(.f64 e (/.f64 (.f64 (+.f64 (sin.f64 v) 2) (sin.f64 v)) (-.f64 (+.f64 (sin.f64 v) 1) -1)))
✓	28.2b	(*.f64 (/.f64 e (+.f64 e 1)) v)
	62.5b	(-.f64 v (/.f64 v e))
	28.3b	(/.f64 e (/.f64 (+.f64 e 1) v))
	28.3b	(.f64 (.f64 v (-.f64 1 e)) e)
	1.7b	(pow.f64 (/.f64 (+.f64 e 1) (*.f64 e (sin.f64 v))) -1)
✓	28.7b	(*.f64 v e)
	0.8b	(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
	1.2b	(*.f64 (sin.f64 v) e)
✓	62.5b	(*.f64 (-.f64 1 (/.f64 1 e)) v)
	0.8b	(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 1 (*.f64 e e))) (-.f64 1 e))
▶	0.2b	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
▶	62.5b	(/.f64 (neg.f64 v) e)
	1.4b	(/.f64 (sin.f64 v) (/.f64 1 e))

Compiler

Compiled 494 to 352 computations (28.7% 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))
✓	0.2b	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series6.0ms (0.1%)

Counts

2 → 26

Calls

12 calls:

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

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (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)))))

localize5.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`pow1_binary64`
866×	`log1p-expm1-u_binary64`
866×	`expm1-log1p-u_binary64`
865×	`add-log-exp_binary64`
847×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	156	17
2	2315	17

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	365
1	102	353
2	263	343
3	961	326
4	4235	319

Stop Event

1×	node limit

Counts

108 → 92

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 20 computations (42.9% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

469×	`log-prod_binary64`
370×	`exp-prod_binary64`
304×	`prod-exp_binary64`
260×	`pow-prod-down_binary64`
232×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	175	21
2	2538	21

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

745×	`fma-neg_binary64`
507×	`fma-def_binary64`
321×	`associate-r_binary64`
321×	`associate-l_binary64`
319×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	822
1	290	790
2	1004	750
3	4777	735

Stop Event

1×	node limit

Counts

164 → 152

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))
(/.f64 1 (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(/.f64 e (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(/.f64 e (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(/.f64 (+.f64 1 e) v)
(+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))
(+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/36 (+.f64 1 e)) (.f64 1/120 (+.f64 1 e))))))))
(+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 5) (+.f64 (.f64 1/720 (+.f64 1 e)) (+.f64 (.f64 -1/5040 (+.f64 1 e)) (.f64 1/6 (+.f64 (.f64 -1/36 (+.f64 1 e)) (.f64 1/120 (+.f64 1 e)))))))) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/36 (+.f64 1 e)) (*.f64 1/120 (+.f64 1 e)))))))))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))

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 (.f64 (sin.f64 v) e) (-.f64 (*.f64 e e) e)))
(.f64 (sin.f64 v) (+.f64 e (-.f64 (pow.f64 e 3) (.f64 e 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))))
(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 (sin.f64 v) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (sin.f64 v) (-.f64 (.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) (.f64 e e))) (/.f64 (sin.f64 v) e)))
(fma.f64 (+.f64 (/.f64 -1 e) 1) (/.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 (sin.f64 v) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (sin.f64 v) (-.f64 (.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) (.f64 e e))) (/.f64 (sin.f64 v) e)))
(fma.f64 (+.f64 (/.f64 -1 e) 1) (/.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 (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.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 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (/.f64 v (/.f64 (+.f64 e 1) e)))
(fma.f64 -1/6 (/.f64 (.f64 e (pow.f64 v 3)) (+.f64 e 1)) (.f64 (/.f64 v (+.f64 e 1)) e))
(fma.f64 (/.f64 v (+.f64 e 1)) e (.f64 -1/6 (/.f64 (.f64 e (pow.f64 v 3)) (+.f64 e 1))))
(.f64 e (+.f64 (/.f64 v (+.f64 e 1)) (/.f64 (.f64 -1/6 (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 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (/.f64 (+.f64 e 1) e)) (/.f64 v (/.f64 (+.f64 e 1) e))))
(fma.f64 -1/6 (/.f64 (.f64 e (pow.f64 v 3)) (+.f64 e 1)) (fma.f64 1/120 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 5))) (.f64 (/.f64 v (+.f64 e 1)) e)))
(fma.f64 -1/6 (/.f64 (.f64 e (pow.f64 v 3)) (+.f64 e 1)) (fma.f64 1/120 (.f64 e (/.f64 (pow.f64 v 5) (+.f64 e 1))) (*.f64 e (/.f64 v (+.f64 e 1)))))
(fma.f64 -1/6 (.f64 e (/.f64 (pow.f64 v 3) (+.f64 e 1))) (.f64 e (+.f64 (/.f64 v (+.f64 e 1)) (/.f64 (*.f64 1/120 (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 (pow.f64 v 7) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (/.f64 (+.f64 e 1) e)) (/.f64 v (/.f64 (+.f64 e 1) e)))))
(fma.f64 -1/5040 (.f64 (/.f64 (pow.f64 v 7) (+.f64 e 1)) e) (fma.f64 -1/6 (/.f64 (.f64 e (pow.f64 v 3)) (+.f64 e 1)) (fma.f64 1/120 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 5))) (*.f64 (/.f64 v (+.f64 e 1)) e))))
(fma.f64 -1/6 (/.f64 (.f64 e (pow.f64 v 3)) (+.f64 e 1)) (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 e (/.f64 v (+.f64 e 1))))))
(fma.f64 -1/6 (.f64 e (/.f64 (pow.f64 v 3) (+.f64 e 1))) (fma.f64 -1/5040 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 7))) (.f64 e (+.f64 (/.f64 v (+.f64 e 1)) (/.f64 (*.f64 1/120 (pow.f64 v 5)) (+.f64 e 1))))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 1 (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(/.f64 e (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(/.f64 e (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))
(fma.f64 1/6 (*.f64 v (+.f64 e 1)) (+.f64 (/.f64 e v) (/.f64 1 v)))
(fma.f64 1/6 (+.f64 v (*.f64 v e)) (+.f64 (/.f64 e v) (/.f64 1 v)))
(fma.f64 1/6 (fma.f64 v e v) (+.f64 (/.f64 e v) (/.f64 1 v)))
(+.f64 (/.f64 e v) (fma.f64 1/6 (fma.f64 v e v) (/.f64 1 v)))
(+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/36 (+.f64 1 e)) (.f64 1/120 (+.f64 1 e))))))))
(fma.f64 1/6 (.f64 v (+.f64 e 1)) (+.f64 (+.f64 (/.f64 e v) (/.f64 1 v)) (neg.f64 (.f64 (pow.f64 v 3) (*.f64 (+.f64 e 1) -7/360)))))
(+.f64 (-.f64 (/.f64 1 v) (.f64 (+.f64 e 1) (.f64 -7/360 (pow.f64 v 3)))) (fma.f64 1/6 (+.f64 v (*.f64 v e)) (/.f64 e v)))
(+.f64 (/.f64 e v) (fma.f64 1/6 (fma.f64 v e v) (fma.f64 (pow.f64 v 3) (*.f64 (+.f64 e 1) 7/360) (/.f64 1 v))))
(+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (.f64 (+.f64 e 1) (+.f64 (.f64 v 1/6) (*.f64 (pow.f64 v 3) 7/360)))))
(+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 5) (+.f64 (.f64 1/720 (+.f64 1 e)) (+.f64 (.f64 -1/5040 (+.f64 1 e)) (.f64 1/6 (+.f64 (.f64 -1/36 (+.f64 1 e)) (.f64 1/120 (+.f64 1 e)))))))) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/36 (+.f64 1 e)) (*.f64 1/120 (+.f64 1 e)))))))))
(fma.f64 1/6 (.f64 v (+.f64 e 1)) (fma.f64 -1 (.f64 (pow.f64 v 5) (fma.f64 1/720 (+.f64 e 1) (fma.f64 -1/5040 (+.f64 e 1) (.f64 1/6 (.f64 (+.f64 e 1) -7/360))))) (+.f64 (+.f64 (/.f64 e v) (/.f64 1 v)) (neg.f64 (.f64 (pow.f64 v 3) (.f64 (+.f64 e 1) -7/360))))))
(fma.f64 1/6 (+.f64 v (.f64 v e)) (+.f64 (-.f64 (/.f64 1 v) (.f64 (+.f64 e 1) (.f64 -7/360 (pow.f64 v 3)))) (fma.f64 (neg.f64 (pow.f64 v 5)) (+.f64 (.f64 (+.f64 e 1) -7/2160) (*.f64 (+.f64 e 1) 1/840)) (/.f64 e v))))
(+.f64 (fma.f64 (pow.f64 v 3) (.f64 (+.f64 e 1) 7/360) (/.f64 1 v)) (fma.f64 1/6 (fma.f64 v e v) (-.f64 (/.f64 e v) (.f64 (pow.f64 v 5) (*.f64 (+.f64 e 1) -31/15120)))))
(+.f64 (/.f64 e v) (fma.f64 1/6 (fma.f64 v e v) (fma.f64 (pow.f64 v 5) (.f64 (+.f64 e 1) 31/15120) (fma.f64 (pow.f64 v 3) (.f64 (+.f64 e 1) 7/360) (/.f64 1 v)))))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 15 computations (60.5% saved)

series8.0ms (0.1%)

Counts

2 → 40

Calls

12 calls:

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

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log-prod_binary64`
388×	`prod-diff_binary64`
336×	`pow-prod-down_binary64`
284×	`pow2_binary64`
251×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	213	25
2	3020	25

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1156
1	324	1107
2	1025	1085
3	4742	1028

Stop Event

1×	node limit

Counts

128 → 125

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 (+.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 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))

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

eval221.0ms (3.1%)

Compiler: Compiled 9530 to 5729 computations (39.9% saved)

prune121.0ms (1.7%)

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	537	9	546
Fresh	4	14	18
Picked	0	1	1
Done	2	6	8
Total	543	30	573

Error

Counts

573 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	1.4b	(+.f64 0 (/.f64 e (/.f64 1 (sin.f64 v))))
	0.8b	(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
	28.3b	(.f64 v (-.f64 e (.f64 e e)))
✓	16.9b	(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
	16.9b	(+.f64 (.f64 (+.f64 (sin.f64 v) 1) e) (.f64 -1 e))
	28.7b	(/.f64 v (/.f64 1 e))
✓	62.5b	(*.f64 (-.f64 1 (/.f64 1 e)) v)
	1.1b	(/.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (*.f64 e (sin.f64 v))))
	43.6b	(/.f64 (-.f64 (+.f64 1 (*.f64 e (sin.f64 v))) 1) (+.f64 1 e))
	28.2b	(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
	1.2b	(*.f64 (sin.f64 v) e)
	60.1b	(sin.f64 v)
	25.0b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
	44.2b	(*.f64 e (-.f64 1 1))
	61.0b	v
	1.3b	(.f64 e (/.f64 (.f64 (+.f64 (sin.f64 v) 2) (sin.f64 v)) (-.f64 (+.f64 (sin.f64 v) 1) -1)))
✓	28.2b	(*.f64 (/.f64 e (+.f64 e 1)) v)
	62.5b	(-.f64 v (/.f64 v e))
	27.5b	(+.f64 0 (/.f64 e (+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
	28.3b	(/.f64 e (/.f64 (+.f64 e 1) v))
	1.7b	(pow.f64 (/.f64 (+.f64 e 1) (*.f64 e (sin.f64 v))) -1)
✓	28.7b	(*.f64 v e)
	1.2b	(pow.f64 (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (sin.f64 v)) -1)
✓	0.2b	(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e))
	0.8b	(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 1 (*.f64 e e))) (-.f64 1 e))
	27.5b	(+.f64 0 (/.f64 e (+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 5) (+.f64 (.f64 1/720 (+.f64 1 e)) (+.f64 (.f64 -1/5040 (+.f64 1 e)) (.f64 1/6 (+.f64 (.f64 -1/36 (+.f64 1 e)) (.f64 1/120 (+.f64 1 e)))))))) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/36 (+.f64 1 e)) (*.f64 1/120 (+.f64 1 e)))))))))))
	2.1b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
✓	0.2b	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
✓	62.5b	(/.f64 (neg.f64 v) e)
	1.4b	(/.f64 (sin.f64 v) (/.f64 1 e))

Compiler

Compiled 365 to 269 computations (26.3% saved)

regimes153.0ms (2.2%)

Counts

60 → 1

Calls

Call 1

Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 v (/.f64 1 e))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 1 1))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 (-.f64 1 (/.f64 1 e)) v)
(/.f64 e (/.f64 (+.f64 e 1) v))
(.f64 (.f64 v (-.f64 1 e)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
(+.f64 0 (/.f64 e (+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 1 e))
(+.f64 0 (/.f64 e (/.f64 1 (sin.f64 v))))
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(+.f64 (.f64 (+.f64 (sin.f64 v) 1) e) (.f64 -1 e))
(+.f64 0 (/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v))))
(/.f64 (-.f64 (+.f64 1 (*.f64 e (sin.f64 v))) 1) (+.f64 1 e))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 1 (*.f64 e e))) (-.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(pow.f64 (/.f64 (+.f64 e 1) (*.f64 e (sin.f64 v))) -1)
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (*.f64 e e))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e)))) 1))
(+.f64 0 (/.f64 e (+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 5) (+.f64 (.f64 1/720 (+.f64 1 e)) (+.f64 (.f64 -1/5040 (+.f64 1 e)) (.f64 1/6 (+.f64 (.f64 -1/36 (+.f64 1 e)) (.f64 1/120 (+.f64 1 e)))))))) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/36 (+.f64 1 e)) (*.f64 1/120 (+.f64 1 e)))))))))))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(pow.f64 (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (sin.f64 v)) -1)
(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 e))
(/.f64 (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 1 e))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (*.f64 e (sin.f64 v))))
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
(+.f64 e (*.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) e))
(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
(.f64 e (/.f64 (.f64 (+.f64 (sin.f64 v) 2) (sin.f64 v)) (-.f64 (+.f64 (sin.f64 v) 1) -1)))
(+.f64 (.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) e) (.f64 -1 e))
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (*.f64 e e))))) 3)
(/.f64 (pow.f64 (sqrt.f64 (.f64 e (sin.f64 v))) 2) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 e (sin.f64 v))) 3) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 e (log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
(*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))

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

Calls

3 calls:

47.0ms	v
43.0ms	e
38.0ms	(/.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 639 to 329 computations (48.5% saved)

regimes47.0ms (0.7%)

Counts

35 → 1

Calls

Call 1

Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 v (/.f64 1 e))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 1 1))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 (-.f64 1 (/.f64 1 e)) v)
(/.f64 e (/.f64 (+.f64 e 1) v))
(.f64 (.f64 v (-.f64 1 e)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
(+.f64 0 (/.f64 e (+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 1 e))
(+.f64 0 (/.f64 e (/.f64 1 (sin.f64 v))))
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(+.f64 (.f64 (+.f64 (sin.f64 v) 1) e) (.f64 -1 e))
(+.f64 0 (/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v))))
(/.f64 (-.f64 (+.f64 1 (*.f64 e (sin.f64 v))) 1) (+.f64 1 e))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 1 (*.f64 e e))) (-.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(pow.f64 (/.f64 (+.f64 e 1) (*.f64 e (sin.f64 v))) -1)
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (*.f64 e e))))

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

Calls

2 calls:

21.0ms	v
17.0ms	e

Results

Error	Segments	Branch
0.1b	1	`e`
0.1b	1	`v`

Compiler

Compiled 265 to 135 computations (49.1% saved)

regimes42.0ms (0.6%)

Counts

33 → 1

Calls

Call 1

Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 v (/.f64 1 e))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 1 1))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 (-.f64 1 (/.f64 1 e)) v)
(/.f64 e (/.f64 (+.f64 e 1) v))
(.f64 (.f64 v (-.f64 1 e)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
(+.f64 0 (/.f64 e (+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 1 e))
(+.f64 0 (/.f64 e (/.f64 1 (sin.f64 v))))
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(+.f64 (.f64 (+.f64 (sin.f64 v) 1) e) (.f64 -1 e))
(+.f64 0 (/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v))))
(/.f64 (-.f64 (+.f64 1 (*.f64 e (sin.f64 v))) 1) (+.f64 1 e))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 1 (*.f64 e e))) (-.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(pow.f64 (/.f64 (+.f64 e 1) (*.f64 e (sin.f64 v))) -1)
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) e))

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

Calls

2 calls:

18.0ms	v
15.0ms	e

Results

Error	Segments	Branch
0.2b	1	`e`
0.2b	1	`v`

Compiler

Compiled 243 to 128 computations (47.3% saved)

regimes37.0ms (0.5%)

Counts

30 → 1

Calls

Call 1

Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 v (/.f64 1 e))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 1 1))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 (-.f64 1 (/.f64 1 e)) v)
(/.f64 e (/.f64 (+.f64 e 1) v))
(.f64 (.f64 v (-.f64 1 e)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
(+.f64 0 (/.f64 e (+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 1 e))
(+.f64 0 (/.f64 e (/.f64 1 (sin.f64 v))))
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(+.f64 (.f64 (+.f64 (sin.f64 v) 1) e) (.f64 -1 e))
(+.f64 0 (/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v))))
(/.f64 (-.f64 (+.f64 1 (*.f64 e (sin.f64 v))) 1) (+.f64 1 e))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 1 (*.f64 e e))) (-.f64 1 e))

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

Calls

2 calls:

16.0ms	e
14.0ms	v

Results

Error	Segments	Branch
0.8b	1	`e`
0.8b	1	`v`

Compiler

Compiled 213 to 113 computations (46.9% saved)

regimes31.0ms (0.4%)

Counts

25 → 1

Calls

Call 1

Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 v (/.f64 1 e))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 1 1))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 (-.f64 1 (/.f64 1 e)) v)
(/.f64 e (/.f64 (+.f64 e 1) v))
(.f64 (.f64 v (-.f64 1 e)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
(+.f64 0 (/.f64 e (+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 1 e))
(+.f64 0 (/.f64 e (/.f64 1 (sin.f64 v))))
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))

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

Calls

2 calls:

13.0ms	e
12.0ms	v

Results

Error	Segments	Branch
0.8b	1	`e`
0.8b	1	`v`

Compiler

Compiled 159 to 84 computations (47.2% saved)

regimes30.0ms (0.4%)

Counts

24 → 1

Calls

Call 1

Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 v (/.f64 1 e))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 1 1))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 (-.f64 1 (/.f64 1 e)) v)
(/.f64 e (/.f64 (+.f64 e 1) v))
(.f64 (.f64 v (-.f64 1 e)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
(+.f64 0 (/.f64 e (+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 1 e))
(+.f64 0 (/.f64 e (/.f64 1 (sin.f64 v))))
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))

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

Calls

2 calls:

13.0ms	e
12.0ms	v

Results

Error	Segments	Branch
1.2b	1	`e`
1.2b	1	`v`

Compiler

Compiled 151 to 80 computations (47% saved)

regimes23.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 v (/.f64 1 e))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 1 1))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 (-.f64 1 (/.f64 1 e)) v)
(/.f64 e (/.f64 (+.f64 e 1) v))
(.f64 (.f64 v (-.f64 1 e)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
(+.f64 0 (/.f64 e (+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(sin.f64 v)

Outputs
(+.f64 0 (/.f64 e (+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))

Calls

2 calls:

10.0ms	v
9.0ms	e

Results

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

Compiler

Compiled 111 to 63 computations (43.2% saved)

regimes20.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	v
8.0ms	e

Results

Error	Segments	Branch
28.2b	1	`e`
28.2b	1	`v`

Compiler

Compiled 90 to 49 computations (45.6% saved)

regimes19.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	e
7.0ms	v

Results

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

Compiler

Compiled 72 to 38 computations (47.2% saved)

regimes18.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	e
7.0ms	v

Results

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

Compiler

Compiled 65 to 34 computations (47.7% saved)

regimes15.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	e
6.0ms	v

Results

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

Compiler

Compiled 51 to 26 computations (49% saved)

regimes14.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(*.f64 v e)

Calls

2 calls:

7.0ms	v
5.0ms	e

Results

Error	Segments	Branch
28.7b	1	`e`
28.7b	1	`v`

Compiler

Compiled 37 to 18 computations (51.4% 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)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
9×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	148
1	65	148
2	72	148
3	76	148
4	78	148

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(*.f64 (sin.f64 v) e)
(+.f64 0 (/.f64 e (+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 e 1) v))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v e)
v

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 e (/.f64 (sin.f64 v) (+.f64 1 (.f64 (cos.f64 v) e))))
(.f64 e (/.f64 (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 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(+.f64 0 (/.f64 e (+.f64 (.f64 1/6 (.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(/.f64 e (+.f64 (.f64 1/6 (.f64 v (+.f64 e 1))) (+.f64 (/.f64 e v) (/.f64 1 v))))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 e 1) v))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v e)
(*.f64 e v)
v

Compiler

Compiled 126 to 85 computations (32.5% saved)

soundness0.0ms (0%)

end72.0ms (1%)

Compiler: Compiled 102 to 51 computations (50% saved)

Iter	Nodes	Cost
0	11	197
1	21	155
2	41	155
3	70	155
4	135	155
5	229	155
6	405	155
7	494	155
8	570	155
9	576	155

Iter	Nodes	Cost
0	11	197
1	21	155
2	41	155
3	70	155
4	135	155
5	229	155
6	405	155
7	494	155
8	570	155
9	576	155

Iter	Nodes	Cost
0	11	197
1	21	155
2	41	155
3	70	155
4	135	155
5	229	155
6	405	155
7	494	155
8	570	155
9	576	155