Details

analyze21.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 14 computations (30% saved)

sample2.6s (36.5%)

Results

1.2s	2108×	body	1024	valid
1.0s	5139×	body	256	valid
368.0ms	1004×	body	512	valid
5.0ms	5×	body	2048	valid

preprocess17.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

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

Compiler

Compiled 25 to 17 computations (32% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 14 computations (54.8% saved)

series14.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	v	@	0	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
1.0ms	e	@	0	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
1.0ms	v	@	inf	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
1.0ms	v	@	-inf	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))
1.0ms	v	@	0	(/.f64 e (fma.f64 e (cos.f64 v) 1))

rewrite58.0ms (0.8%)

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	25
1	178	25
2	2236	25

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

Outputs

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

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

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-def_binary64`
714×	`associate-l_binary64`
702×	`associate-r_binary64`
286×	`associate-/r*_binary64`
266×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	1659
1	432	1585
2	1557	1549

Stop Event

1×	node limit

Counts

101 → 102

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 12 computations (64.7% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite59.0ms (0.8%)

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	2824	27

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.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)))))

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

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
653×	`fma-def_binary64`
501×	`associate-l_binary64`
474×	`associate-r_binary64`
352×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1369
1	357	1319
2	1154	1282
3	5297	1224

Stop Event

1×	node limit

Counts

175 → 143

Calls

Call 1

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

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

eval90.0ms (1.3%)

Compiler: Compiled 5345 to 2975 computations (44.3% saved)

prune73.0ms (1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	230	15	245
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	231	16	247

Error

0.0b

Counts

247 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
	1.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 e (sin.f64 v))) 2) (.f64 (cbrt.f64 (.f64 e (sin.f64 v))) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))
	0.5b	(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e)))
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	0.2b	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
▶	0.2b	(*.f64 e (/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))
▶	30.6b	(*.f64 e (/.f64 v (+.f64 e 1)))
	25.2b	(*.f64 (sin.f64 v) (cbrt.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) 3)))
	1.0b	(.f64 (sin.f64 v) (.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (/.f64 1 (fma.f64 e (cos.f64 v) 1)))))
▶	0.1b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))))
	1.0b	(*.f64 (sin.f64 v) (pow.f64 (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 3))
	1.7b	(*.f64 (sin.f64 v) e)
▶	22.0b	(/.f64 (pow.f64 (sqrt.f64 (.f64 e (sin.f64 v))) 2) (+.f64 1 (.f64 e (cos.f64 v))))
	1.0b	(/.f64 (pow.f64 (cbrt.f64 (.f64 e (sin.f64 v))) 3) (+.f64 1 (.f64 e (cos.f64 v))))
	30.6b	(/.f64 (*.f64 v e) (+.f64 1 e))
	0.1b	(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 (cos.f64 v) e))))

Compiler

Compiled 427 to 299 computations (30% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 e) (cos.f64 v))
✓	0.0b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))))
	0.1b	(*.f64 e (sin.f64 v))
✓	5.6b	(log.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))

Compiler

Compiled 47 to 14 computations (70.2% saved)

series174.0ms (2.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
52.0ms	e	@	-inf	(log.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))
44.0ms	e	@	inf	(log.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))
24.0ms	v	@	inf	(log.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))
21.0ms	e	@	inf	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (log.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))))
14.0ms	v	@	-inf	(log.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))

rewrite85.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log-prod_binary64`
323×	`pow2_binary64`
320×	`prod-diff_binary64`
255×	`pow-unpow_binary64`
245×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	246	29
2	3280	29

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

716×	`distribute-rgt-in_binary64`
683×	`distribute-lft-in_binary64`
532×	`associate-+l+_binary64`
456×	`associate-+r+_binary64`
217×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	1817
1	610	1643
2	2429	1420

Stop Event

1×	node limit

Counts

204 → 178

Calls

Call 1

Inputs
(*.f64 (cos.f64 v) e)
(+.f64 (.f64 1/2 (.f64 (pow.f64 e 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 v) 2)) (pow.f64 (cos.f64 v) 2)))) (.f64 (cos.f64 v) e))
(+.f64 (.f64 1/2 (.f64 (pow.f64 e 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 v) 2)) (pow.f64 (cos.f64 v) 2)))) (+.f64 (.f64 (cos.f64 v) e) (.f64 1/6 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 v) 3)) (+.f64 (.f64 -3 (pow.f64 (cos.f64 v) 3)) (pow.f64 (cos.f64 v) 3))) (pow.f64 e 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 e 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 v) 2)) (pow.f64 (cos.f64 v) 2)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 e 4) (+.f64 (pow.f64 (cos.f64 v) 4) (+.f64 (.f64 -4 (pow.f64 (cos.f64 v) 4)) (+.f64 (.f64 -3 (pow.f64 (cos.f64 v) 4)) (+.f64 (.f64 12 (pow.f64 (cos.f64 v) 4)) (.f64 -6 (pow.f64 (cos.f64 v) 4)))))))) (+.f64 (.f64 (cos.f64 v) e) (.f64 1/6 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 v) 3)) (+.f64 (.f64 -3 (pow.f64 (cos.f64 v) 3)) (pow.f64 (cos.f64 v) 3))) (pow.f64 e 3))))))
(*.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) (+.f64 (.f64 24 (+.f64 (.f64 1/8 (pow.f64 e 2)) (.f64 1/24 e))) (.f64 -3 (pow.f64 e 2))))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) e)) e))
(+.f64 (.f64 1/24 (.f64 (pow.f64 v 4) (+.f64 (.f64 24 (+.f64 (.f64 1/8 (pow.f64 e 2)) (.f64 1/24 e))) (.f64 -3 (pow.f64 e 2))))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 720 (+.f64 (.f64 -1/48 (pow.f64 e 2)) (+.f64 (.f64 -1/720 e) (.f64 -1/48 (pow.f64 e 3))))) (+.f64 (.f64 360 (.f64 (+.f64 (.f64 1/8 (pow.f64 e 2)) (.f64 1/24 e)) e)) (.f64 -30 (pow.f64 e 3)))) (pow.f64 v 6))) (+.f64 (.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e)))
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 v) (+.f64 (.f64 -1 (pow.f64 (cos.f64 v) 2)) (pow.f64 (cos.f64 v) 2)))) (.f64 -1 (.f64 (sin.f64 v) (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 (sin.f64 v) e)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (+.f64 (.f64 -1 (pow.f64 (cos.f64 v) 2)) (pow.f64 (cos.f64 v) 2))))) (+.f64 (.f64 1/6 (.f64 (sin.f64 v) (+.f64 (.f64 2 (pow.f64 (cos.f64 v) 3)) (+.f64 (.f64 -3 (pow.f64 (cos.f64 v) 3)) (pow.f64 (cos.f64 v) 3))))) (.f64 -1 (.f64 (cos.f64 v) (+.f64 (.f64 1/2 (.f64 (sin.f64 v) (+.f64 (.f64 -1 (pow.f64 (cos.f64 v) 2)) (pow.f64 (cos.f64 v) 2)))) (.f64 -1 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))))))) (pow.f64 e 4))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (sin.f64 v) (+.f64 (.f64 -1 (pow.f64 (cos.f64 v) 2)) (pow.f64 (cos.f64 v) 2)))) (.f64 -1 (.f64 (sin.f64 v) (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 (sin.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 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.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 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 (.f64 24 (+.f64 (.f64 1/8 (pow.f64 e 2)) (.f64 1/24 e))) (.f64 -3 (pow.f64 e 2))) e) (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 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 (pow.f64 v 7) (-.f64 (.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 (.f64 24 (+.f64 (.f64 1/8 (pow.f64 e 2)) (.f64 1/24 e))) (.f64 -3 (pow.f64 e 2))) e) (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 (.f64 1/720 (/.f64 (.f64 (+.f64 (.f64 720 (+.f64 (.f64 -1/48 (pow.f64 e 2)) (+.f64 (.f64 -1/720 e) (.f64 -1/48 (pow.f64 e 3))))) (+.f64 (.f64 360 (.f64 (+.f64 (.f64 1/8 (pow.f64 e 2)) (.f64 1/24 e)) e)) (.f64 -30 (pow.f64 e 3)))) e) (pow.f64 (+.f64 1 e) 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (.f64 24 (+.f64 (.f64 1/8 (pow.f64 e 2)) (.f64 1/24 e))) (.f64 -3 (pow.f64 e 2))) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 1 e))))))) (+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 (.f64 24 (+.f64 (.f64 1/8 (pow.f64 e 2)) (.f64 1/24 e))) (.f64 -3 (pow.f64 e 2))) e) (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 v e) (+.f64 1 e)))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
1
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 (cos.f64 v) e)))
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (+.f64 (.f64 (cos.f64 v) e) (.f64 1/6 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 e)
(+.f64 (exp.f64 e) (.f64 -1/2 (.f64 (exp.f64 e) (*.f64 (pow.f64 v 2) e))))
(+.f64 (exp.f64 e) (+.f64 (.f64 -1/2 (.f64 (exp.f64 e) (.f64 (pow.f64 v 2) e))) (.f64 (exp.f64 e) (.f64 (pow.f64 v 4) (+.f64 (.f64 1/8 (pow.f64 e 2)) (*.f64 1/24 e))))))
(+.f64 (exp.f64 e) (+.f64 (.f64 (exp.f64 e) (.f64 (pow.f64 v 6) (+.f64 (.f64 -1/48 (pow.f64 e 2)) (+.f64 (.f64 -1/720 e) (.f64 -1/48 (pow.f64 e 3)))))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 e) (.f64 (pow.f64 v 2) e))) (.f64 (exp.f64 e) (.f64 (pow.f64 v 4) (+.f64 (.f64 1/8 (pow.f64 e 2)) (.f64 1/24 e)))))))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (*.f64 (cos.f64 v) e))
(exp.f64 (*.f64 (cos.f64 v) e))

Outputs
(*.f64 (cos.f64 v) e)
(+.f64 (.f64 1/2 (.f64 (pow.f64 e 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 v) 2)) (pow.f64 (cos.f64 v) 2)))) (.f64 (cos.f64 v) e))
(fma.f64 1/2 (.f64 (.f64 e e) (.f64 0 (pow.f64 (cos.f64 v) 2))) (.f64 (cos.f64 v) e))
(fma.f64 (cos.f64 v) e (.f64 (.f64 e e) 0))
(fma.f64 (cos.f64 v) e 0)
(+.f64 (.f64 1/2 (.f64 (pow.f64 e 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 v) 2)) (pow.f64 (cos.f64 v) 2)))) (+.f64 (.f64 (cos.f64 v) e) (.f64 1/6 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 v) 3)) (+.f64 (.f64 -3 (pow.f64 (cos.f64 v) 3)) (pow.f64 (cos.f64 v) 3))) (pow.f64 e 3)))))
(fma.f64 1/2 (.f64 (.f64 e e) (.f64 0 (pow.f64 (cos.f64 v) 2))) (.f64 (cos.f64 v) e))
(fma.f64 (cos.f64 v) e (.f64 (.f64 e e) 0))
(fma.f64 (cos.f64 v) e 0)
(+.f64 (.f64 1/2 (.f64 (pow.f64 e 2) (+.f64 (.f64 -1 (pow.f64 (cos.f64 v) 2)) (pow.f64 (cos.f64 v) 2)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 e 4) (+.f64 (pow.f64 (cos.f64 v) 4) (+.f64 (.f64 -4 (pow.f64 (cos.f64 v) 4)) (+.f64 (.f64 -3 (pow.f64 (cos.f64 v) 4)) (+.f64 (.f64 12 (pow.f64 (cos.f64 v) 4)) (.f64 -6 (pow.f64 (cos.f64 v) 4)))))))) (+.f64 (.f64 (cos.f64 v) e) (.f64 1/6 (.f64 (+.f64 (.f64 2 (pow.f64 (cos.f64 v) 3)) (+.f64 (.f64 -3 (pow.f64 (cos.f64 v) 3)) (pow.f64 (cos.f64 v) 3))) (pow.f64 e 3))))))
(fma.f64 1/2 (.f64 (.f64 e e) (.f64 0 (pow.f64 (cos.f64 v) 2))) (fma.f64 1/24 (.f64 (pow.f64 e 4) (+.f64 (pow.f64 (cos.f64 v) 4) (fma.f64 -4 (pow.f64 (cos.f64 v) 4) (fma.f64 -3 (pow.f64 (cos.f64 v) 4) (.f64 (pow.f64 (cos.f64 v) 4) 6))))) (fma.f64 (cos.f64 v) e (.f64 1/6 (.f64 (fma.f64 2 (pow.f64 (cos.f64 v) 3) (.f64 -2 (pow.f64 (cos.f64 v) 3))) (pow.f64 e 3))))))
(+.f64 (.f64 (.f64 e e) 0) (fma.f64 1/24 (.f64 (pow.f64 e 4) (+.f64 (.f64 -3 (pow.f64 (cos.f64 v) 4)) (.f64 (pow.f64 (cos.f64 v) 4) 3))) (fma.f64 (cos.f64 v) e (.f64 1/6 (.f64 (.f64 (cos.f64 v) 0) (pow.f64 e 3))))))
(fma.f64 1/24 (.f64 (pow.f64 e 4) (.f64 (pow.f64 (cos.f64 v) 4) 0)) (fma.f64 (cos.f64 v) e 0))
(*.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)
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(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 1/2 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e))) (fma.f64 (pow.f64 v 7) (fma.f64 (/.f64 e (+.f64 e 1)) -1/5040 (-.f64 (/.f64 (.f64 1/2 (+.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) (+.f64 e 0))) -1/24)) (/.f64 (.f64 1/2 e) (/.f64 (+.f64 e 1) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 1/2 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e))))))) (/.f64 (+.f64 e 1) e)) (fma.f64 1/24 (.f64 (/.f64 (+.f64 e 0) (+.f64 e 1)) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 1/2 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e)))) (/.f64 (fma.f64 720 (fma.f64 (.f64 e e) -1/48 (fma.f64 e -1/720 (.f64 (pow.f64 e 3) -1/48))) (fma.f64 (.f64 (.f64 e (+.f64 (.f64 1/8 e) 1/24)) 360) e (.f64 (pow.f64 e 3) -30))) (/.f64 (/.f64 (pow.f64 (+.f64 e 1) 2) e) 1/720))))) (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) (+.f64 e 0))) -1/24)) (/.f64 (.f64 1/2 e) (/.f64 (+.f64 e 1) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 1/2 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e)))))) (*.f64 (/.f64 e (+.f64 e 1)) v))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e)
(/.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 (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 (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 (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 (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 (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 (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)
1
(+.f64 1 (*.f64 (cos.f64 v) e))
(+.f64 (*.f64 (cos.f64 v) e) 1)
(fma.f64 (cos.f64 v) e 1)
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 (cos.f64 v) e)))
(+.f64 1 (fma.f64 1/2 (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 2)) (*.f64 (cos.f64 v) e)))
(+.f64 1 (fma.f64 (cos.f64 v) e (.f64 (pow.f64 (cos.f64 v) 2) (.f64 1/2 (*.f64 e e)))))
(+.f64 1 (.f64 e (+.f64 (cos.f64 v) (.f64 (*.f64 1/2 (pow.f64 (cos.f64 v) 2)) e))))
(+.f64 1 (+.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (+.f64 (.f64 (cos.f64 v) e) (.f64 1/6 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 1 (fma.f64 1/2 (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 2)) (fma.f64 (cos.f64 v) e (.f64 (.f64 1/6 (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)))))
(+.f64 1 (fma.f64 1/2 (.f64 e (.f64 e (pow.f64 (cos.f64 v) 2))) (fma.f64 (cos.f64 v) e (.f64 1/6 (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (fma.f64 (cos.f64 v) e 1) (.f64 (.f64 e e) (+.f64 (.f64 (.f64 1/6 (pow.f64 (cos.f64 v) 3)) e) (*.f64 1/2 (pow.f64 (cos.f64 v) 2)))))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 e)
(+.f64 (exp.f64 e) (.f64 -1/2 (.f64 (exp.f64 e) (*.f64 (pow.f64 v 2) e))))
(+.f64 (exp.f64 e) (.f64 -1/2 (.f64 (.f64 e (.f64 v v)) (exp.f64 e))))
(fma.f64 -1/2 (.f64 e (.f64 (exp.f64 e) (*.f64 v v))) (exp.f64 e))
(.f64 (+.f64 (.f64 e (.f64 -1/2 (.f64 v v))) 1) (exp.f64 e))
(+.f64 (exp.f64 e) (+.f64 (.f64 -1/2 (.f64 (exp.f64 e) (.f64 (pow.f64 v 2) e))) (.f64 (exp.f64 e) (.f64 (pow.f64 v 4) (+.f64 (.f64 1/8 (pow.f64 e 2)) (*.f64 1/24 e))))))
(+.f64 (exp.f64 e) (fma.f64 -1/2 (.f64 (.f64 e (.f64 v v)) (exp.f64 e)) (.f64 (exp.f64 e) (.f64 (pow.f64 v 4) (fma.f64 1/8 (.f64 e e) (*.f64 e 1/24))))))
(+.f64 (exp.f64 e) (fma.f64 -1/2 (.f64 e (.f64 (exp.f64 e) (.f64 v v))) (.f64 (pow.f64 v 4) (.f64 (fma.f64 (.f64 e e) 1/8 (*.f64 e 1/24)) (exp.f64 e)))))
(+.f64 (exp.f64 e) (.f64 (exp.f64 e) (+.f64 (.f64 e (.f64 -1/2 (.f64 v v))) (.f64 (pow.f64 v 4) (.f64 e (+.f64 (*.f64 1/8 e) 1/24))))))
(+.f64 (exp.f64 e) (+.f64 (.f64 (exp.f64 e) (.f64 (pow.f64 v 6) (+.f64 (.f64 -1/48 (pow.f64 e 2)) (+.f64 (.f64 -1/720 e) (.f64 -1/48 (pow.f64 e 3)))))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 e) (.f64 (pow.f64 v 2) e))) (.f64 (exp.f64 e) (.f64 (pow.f64 v 4) (+.f64 (.f64 1/8 (pow.f64 e 2)) (.f64 1/24 e)))))))
(+.f64 (exp.f64 e) (fma.f64 (exp.f64 e) (.f64 (fma.f64 -1/48 (.f64 e e) (fma.f64 -1/720 e (.f64 (pow.f64 e 3) -1/48))) (pow.f64 v 6)) (fma.f64 -1/2 (.f64 (.f64 e (.f64 v v)) (exp.f64 e)) (.f64 (exp.f64 e) (.f64 (pow.f64 v 4) (fma.f64 1/8 (.f64 e e) (.f64 e 1/24)))))))
(+.f64 (exp.f64 e) (fma.f64 (exp.f64 e) (.f64 (fma.f64 (.f64 e e) -1/48 (fma.f64 e -1/720 (.f64 (pow.f64 e 3) -1/48))) (pow.f64 v 6)) (fma.f64 -1/2 (.f64 e (.f64 (exp.f64 e) (.f64 v v))) (.f64 (pow.f64 v 4) (.f64 (fma.f64 (.f64 e e) 1/8 (.f64 e 1/24)) (exp.f64 e))))))
(+.f64 (.f64 (.f64 e (.f64 v v)) (.f64 -1/2 (exp.f64 e))) (.f64 (exp.f64 e) (+.f64 (+.f64 1 (.f64 (fma.f64 (.f64 e e) -1/48 (fma.f64 e -1/720 (.f64 (pow.f64 e 3) -1/48))) (pow.f64 v 6))) (.f64 (pow.f64 v 4) (.f64 e (+.f64 (*.f64 1/8 e) 1/24))))))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))
(exp.f64 (*.f64 (cos.f64 v) e))
(pow.f64 (exp.f64 (cos.f64 v)) e)
(pow.f64 (exp.f64 e) (cos.f64 v))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series53.0ms (0.7%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	v	@	0	(*.f64 e (/.f64 v (+.f64 e 1)))
1.0ms	v	@	inf	(/.f64 v (+.f64 e 1))
1.0ms	v	@	0	(/.f64 v (+.f64 e 1))
1.0ms	v	@	-inf	(/.f64 v (+.f64 e 1))
0.0ms	v	@	inf	(*.f64 e (/.f64 v (+.f64 e 1)))

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	150	17
2	2054	17

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

491×	`sub-neg_binary64`
476×	`distribute-rgt-neg-in_binary64`
456×	`fma-neg_binary64`
389×	`distribute-lft-neg-in_binary64`
334×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	582
1	156	556
2	430	539
3	1537	496
4	5454	496

Stop Event

1×	node limit

Counts

103 → 85

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
850×	`add-log-exp_binary64`
832×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	169	19
2	2278	19

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

((#(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 (hypot.f64 1 (sqrt.f64 e))) (/.f64 e (hypot.f64 1 (sqrt.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (hypot.f64 1 (sqrt.f64 e))) (/.f64 (cbrt.f64 e) (hypot.f64 1 (sqrt.f64 e))))))) (#(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)))))))

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

671×	`times-frac_binary64`
650×	`associate-l_binary64`
552×	`associate-r_binary64`
385×	`fma-neg_binary64`
281×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	614
1	208	591
2	573	566
3	1906	543
4	7371	543

Stop Event

1×	node limit

Counts

91 → 94

Calls

Call 1

Inputs
(/.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 (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))))))
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))))

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

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 21 computations (52.3% saved)

series11.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

529×	`log-prod_binary64`
412×	`exp-prod_binary64`
305×	`pow-prod-down_binary64`
263×	`pow2_binary64`
203×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	207	39
2	2681	39

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) -2)) (cbrt.f64 (/.f64 (sin.f64 v) (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 -1 (/.f64 1 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (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 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 (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 (cbrt.f64 (pow.f64 (sin.f64 v) 2)) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (/.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 (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 (pow.f64 (fma.f64 e (cos.f64 v) 1) -1/2) (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 v) 2)) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (cbrt.f64 (sin.f64 v)) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) -2) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (fma.f64 e (cos.f64 v) 1))) (neg.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) 1) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (cbrt.f64 (pow.f64 (sin.f64 v) 2))) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.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 (E.f64) (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) -2)))) (#(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 (exp.f64 -1) (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (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 (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) -2))))) 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simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

774×	`associate-r_binary64`
380×	`associate-+l+_binary64`
313×	`*-commutative_binary64`
312×	`associate-+r+_binary64`
271×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2437
1	581	2323
2	2030	2295

Stop Event

1×	node limit

Counts

232 → 224

Calls

Call 1

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

Outputs
(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 (cos.f64 v) e))))
(fma.f64 (neg.f64 (sin.f64 v)) (*.f64 (cos.f64 v) e) (sin.f64 v))
(-.f64 (sin.f64 v) (.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) (fma.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)) (neg.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) e)))))
(-.f64 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)) 1) (sin.f64 v)) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))
(.f64 (sin.f64 v) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)) 1) (.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) (fma.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (fma.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)) (neg.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) e))))))
(+.f64 (sin.f64 v) (-.f64 (fma.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)) (.f64 (.f64 (cos.f64 v) e) (neg.f64 (sin.f64 v)))) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(-.f64 (.f64 (sin.f64 v) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)) 1) (.f64 (cos.f64 v) e))) (.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)) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (.f64 e e))))
(-.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (.f64 e e)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (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 (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 (cos.f64 v) e)) (-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.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)) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (.f64 e e))))
(-.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (.f64 e e)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
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(fma.f64 (+.f64 (.f64 e -1/2) (.f64 1/6 (+.f64 e 1))) v (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (fma.f64 (pow.f64 v 5) (-.f64 (.f64 e -1/720) (fma.f64 -1/5040 (+.f64 e 1) (fma.f64 -1/6 (-.f64 (.f64 e 1/24) (fma.f64 -1/6 (+.f64 (.f64 e -1/2) (.f64 1/6 (+.f64 e 1))) (+.f64 1/120 (.f64 e 1/120)))) (.f64 1/120 (+.f64 (.f64 e -1/2) (.f64 1/6 (+.f64 e 1))))))) (.f64 (pow.f64 v 3) (-.f64 (.f64 e 1/24) (fma.f64 -1/6 (+.f64 (.f64 e -1/2) (.f64 1/6 (+.f64 e 1))) (+.f64 1/120 (*.f64 e 1/120)))))))))
(+.f64 (fma.f64 v (fma.f64 e -1/2 (.f64 (+.f64 e 1) 1/6)) (+.f64 (/.f64 e v) (/.f64 1 v))) (fma.f64 (pow.f64 v 5) (-.f64 (.f64 e -1/720) (fma.f64 (+.f64 e 1) -1/5040 (fma.f64 1/120 (fma.f64 e -1/2 (.f64 (+.f64 e 1) 1/6)) (.f64 -1/6 (-.f64 (.f64 e 1/24) (fma.f64 (+.f64 e 1) 1/120 (.f64 -1/6 (fma.f64 e -1/2 (.f64 (+.f64 e 1) 1/6))))))))) (.f64 (pow.f64 v 3) (-.f64 (.f64 e 1/24) (fma.f64 (+.f64 e 1) 1/120 (.f64 -1/6 (fma.f64 e -1/2 (*.f64 (+.f64 e 1) 1/6))))))))
(+.f64 (/.f64 1 v) (+.f64 (fma.f64 (pow.f64 v 5) (-.f64 (+.f64 (fma.f64 e -1/720 1/5040) (.f64 1/5040 e)) (fma.f64 -1/6 (fma.f64 e 1/24 (-.f64 -1/120 (+.f64 (+.f64 (.f64 e 1/120) (.f64 1/12 e)) (.f64 -1/36 (+.f64 e 1))))) (+.f64 (.f64 -1/240 e) (.f64 1/720 (+.f64 e 1))))) (.f64 (pow.f64 v 3) (fma.f64 e 1/24 (-.f64 -1/120 (+.f64 (+.f64 (.f64 e 1/120) (.f64 1/12 e)) (.f64 -1/36 (+.f64 e 1))))))) (fma.f64 v (+.f64 (fma.f64 e -1/2 1/6) (*.f64 e 1/6)) (/.f64 e v))))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 e (cos.f64 v))
	0.1b	(*.f64 e (sin.f64 v))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)
✓	17.1b	(sqrt.f64 (*.f64 e (sin.f64 v)))

Compiler

Compiled 50 to 18 computations (64% saved)

series9.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite48.0ms (0.7%)

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	1591	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)

eval231.0ms (3.2%)

Compiler: Compiled 14119 to 7664 computations (45.7% saved)

prune128.0ms (1.8%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	699	26	725
Fresh	9	1	10
Picked	1	0	1
Done	4	1	5
Total	713	28	741

Error

0.0b

Counts

741 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
	30.2b	(*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))
	30.7b	(.f64 e (-.f64 v (.f64 v e)))
▶	1.8b	(*.f64 e (/.f64 1 (/.f64 1 (sin.f64 v))))
	30.7b	(.f64 v (-.f64 e (.f64 e e)))
	30.9b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
	43.4b	(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
	1.7b	(*.f64 (sin.f64 v) e)
▶	31.0b	(*.f64 v e)
	12.9b	(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
▶	26.4b	(*.f64 (sin.f64 v) (cbrt.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 3)))
	1.7b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 (sin.f64 v) e)))
	0.5b	(/.f64 (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 1 (*.f64 e (cos.f64 v))))
	1.4b	(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	42.1b	(-.f64 (+.f64 1 (*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))) 1)
▶	63.0b	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
	30.6b	(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) v)))
▶	0.1b	(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 (cos.f64 v) e))))
	2.2b	(*.f64 (sin.f64 v) (pow.f64 (cbrt.f64 (/.f64 e (+.f64 e 1))) 3))
	2.2b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))) 3)
	62.7b	(-.f64 v (/.f64 v e))
	60.2b	(sin.f64 v)
	0.9b	(.f64 e (-.f64 (sin.f64 v) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
	41.5b	(*.f64 (sin.f64 v) (-.f64 (+.f64 1 (/.f64 e (+.f64 e 1))) 1))
	30.6b	(/.f64 e (/.f64 (+.f64 e 1) v))
	29.9b	(.f64 e (/.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))))
	22.4b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))) 2)

Compiler

Compiled 647 to 455 computations (29.7% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 15 computations (60.5% saved)

series8.0ms (0.1%)

Counts

3 → 44

Calls

18 calls:

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

rewrite63.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	207	31
2	2765	31

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

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

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

815×	`fma-def_binary64`
781×	`associate-l_binary64`
770×	`associate-r_binary64`
286×	`associate-/r*_binary64`
266×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1627
1	462	1569
2	1659	1527

Stop Event

1×	node limit

Counts

151 → 160

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 v (/.f64 v e))
✓	0.1b	(/.f64 (-.f64 v (/.f64 v e)) e)
✓	12.8b	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))

Compiler

Compiled 28 to 6 computations (78.6% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite147.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	164	30
2	2636	30

Stop Event

1×	node limit

Counts

3 → 447

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

816×	`fma-neg_binary64`
524×	`div-sub_binary64`
469×	`distribute-neg-frac_binary64`
444×	`associate-/l*_binary64`
318×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	684
1	54	600
2	121	537
3	306	537
4	1040	537
5	4870	537

Stop Event

1×	node limit

Counts

519 → 461

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 15 computations (40% saved)

series4.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

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

rewrite48.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`pow1_binary64`
605×	`add-log-exp_binary64`
605×	`log1p-expm1-u_binary64`
605×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	167	15
2	1784	15

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Outputs

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

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

simplify107.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1378×	`fma-def_binary64`
711×	`sqr-pow_binary64`
690×	`unswap-sqr_binary64`
605×	`cube-prod_binary64`
379×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	321
1	128	313
2	333	301
3	974	297
4	2125	297
5	2318	297
6	2525	297
7	2975	297
8	3854	297
9	3997	297
10	4811	297
11	5197	297
12	5793	297
13	6666	297
14	7773	297

Stop Event

1×	node limit

Counts

105 → 87

Calls

Call 1

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

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

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 e (+.f64 e 1))
✓	0.1b	(pow.f64 (/.f64 e (+.f64 e 1)) 3)
✓	0.1b	(*.f64 (sin.f64 v) (cbrt.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 3)))
✓	40.0b	(cbrt.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 3))

Compiler

Compiled 42 to 28 computations (33.3% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	e	@	-inf	(cbrt.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 3))
1.0ms	e	@	-inf	(*.f64 (sin.f64 v) (cbrt.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 3)))
0.0ms	e	@	0	(pow.f64 (/.f64 e (+.f64 e 1)) 3)
0.0ms	e	@	0	(cbrt.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 3))
0.0ms	e	@	-inf	(pow.f64 (/.f64 e (+.f64 e 1)) 3)

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`log-prod_binary64`
361×	`exp-prod_binary64`
319×	`pow-prod-down_binary64`
260×	`pow2_binary64`
191×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	237	29
2	2763	29

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 e (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 e (+.f64 e 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 e (+.f64 e 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 e (+.f64 e 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 e (+.f64 e 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 (fma.f64 -1 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 (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 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(log1p.f64 e))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log.f64 e) (log1p.f64 e))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (-.f64 (log.f64 e) (log1p.f64 e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 e) (log1p.f64 e)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 e) (log1p.f64 e))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 e) (log1p.f64 e))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 e) (log1p.f64 e)) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 e) 3) (*.f64 3 (log1p.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 3 (log.f64 e)) (*.f64 (log1p.f64 e) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 e) 3) (*.f64 (log1p.f64 e) 3)))))))

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

658×	`fma-neg_binary64`
504×	`fma-def_binary64`
428×	`cancel-sign-sub-inv_binary64`
420×	`associate-/l*_binary64`
380×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	856
1	346	821
2	982	768
3	3254	743

Stop Event

1×	node limit

Counts

192 → 212

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))))
(*.f64 -1 (cbrt.f64 -1))
(+.f64 (*.f64 -1 (cbrt.f64 -1)) (/.f64 (cbrt.f64 -1) e))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (+.f64 (/.f64 (cbrt.f64 -1) e) (.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 e 2)))))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (+.f64 (/.f64 (cbrt.f64 -1) e) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 e 2))) (/.f64 (cbrt.f64 -1) (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 (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) (cbrt.f64 -1)))
(+.f64 (/.f64 (.f64 (sin.f64 v) (cbrt.f64 -1)) e) (.f64 -1 (*.f64 (sin.f64 v) (cbrt.f64 -1))))
(+.f64 (/.f64 (.f64 (sin.f64 v) (cbrt.f64 -1)) e) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 v) (cbrt.f64 -1)) (pow.f64 e 2))) (.f64 -1 (*.f64 (sin.f64 v) (cbrt.f64 -1)))))
(+.f64 (/.f64 (.f64 (sin.f64 v) (cbrt.f64 -1)) e) (+.f64 (/.f64 (.f64 (sin.f64 v) (cbrt.f64 -1)) (pow.f64 e 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 v) (cbrt.f64 -1)) (pow.f64 e 2))) (.f64 -1 (.f64 (sin.f64 v) (cbrt.f64 -1))))))
(pow.f64 e 3)
(+.f64 (*.f64 -3 (pow.f64 e 4)) (pow.f64 e 3))
(+.f64 (.f64 -3 (pow.f64 e 4)) (+.f64 (pow.f64 e 3) (.f64 6 (pow.f64 e 5))))
(+.f64 (.f64 -3 (pow.f64 e 4)) (+.f64 (.f64 -10 (pow.f64 e 6)) (+.f64 (pow.f64 e 3) (*.f64 6 (pow.f64 e 5)))))
1
(-.f64 1 (*.f64 3 (/.f64 1 e)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 e 2)))) (.f64 3 (/.f64 1 e)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 e 2)))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 e 3))) (*.f64 3 (/.f64 1 e))))
1
(-.f64 1 (*.f64 3 (/.f64 1 e)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 e 2)))) (.f64 3 (/.f64 1 e)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 e 2)))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 e 3))) (*.f64 3 (/.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 e (.f64 (.f64 e e) (+.f64 -1 e)))
(fma.f64 (*.f64 e e) (+.f64 e -1) e)
(*.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) (fma.f64 e (neg.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 (/.f64 1 (*.f64 e e)) (+.f64 1 (/.f64 -1 e)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 e) e) (/.f64 -1 e)))
(+.f64 (/.f64 (/.f64 1 e) e) (+.f64 1 (/.f64 -1 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 (/.f64 (/.f64 1 e) e) (+.f64 (+.f64 1 (/.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 -1 (cbrt.f64 -1))
(neg.f64 (cbrt.f64 -1))
(+.f64 (*.f64 -1 (cbrt.f64 -1)) (/.f64 (cbrt.f64 -1) e))
(fma.f64 -1 (cbrt.f64 -1) (/.f64 (cbrt.f64 -1) e))
(-.f64 (/.f64 (cbrt.f64 -1) e) (cbrt.f64 -1))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (+.f64 (/.f64 (cbrt.f64 -1) e) (.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 e 2)))))
(+.f64 (fma.f64 -1 (cbrt.f64 -1) (/.f64 (cbrt.f64 -1) e)) (/.f64 (neg.f64 (cbrt.f64 -1)) (*.f64 e e)))
(-.f64 (-.f64 (/.f64 (cbrt.f64 -1) e) (/.f64 (cbrt.f64 -1) (*.f64 e e))) (cbrt.f64 -1))
(-.f64 (*.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (cbrt.f64 -1) e)) (cbrt.f64 -1))
(+.f64 (.f64 -1 (cbrt.f64 -1)) (+.f64 (/.f64 (cbrt.f64 -1) e) (+.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) (pow.f64 e 2))) (/.f64 (cbrt.f64 -1) (pow.f64 e 3)))))
(+.f64 (fma.f64 -1 (cbrt.f64 -1) (/.f64 (cbrt.f64 -1) e)) (fma.f64 -1 (/.f64 (cbrt.f64 -1) (*.f64 e e)) (/.f64 (cbrt.f64 -1) (pow.f64 e 3))))
(+.f64 (-.f64 (/.f64 (cbrt.f64 -1) (pow.f64 e 3)) (/.f64 (cbrt.f64 -1) (*.f64 e e))) (-.f64 (/.f64 (cbrt.f64 -1) e) (cbrt.f64 -1)))
(+.f64 (*.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (cbrt.f64 -1) e)) (-.f64 (/.f64 (cbrt.f64 -1) (pow.f64 e 3)) (cbrt.f64 -1)))
(/.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 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (*.f64 (/.f64 v (+.f64 e 1)) e))
(fma.f64 -1/6 (.f64 e (/.f64 (pow.f64 v 3) (+.f64 e 1))) (.f64 e (/.f64 v (+.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 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (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 e (/.f64 (pow.f64 v 3) (+.f64 e 1))) (fma.f64 1/120 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 5))) (.f64 e (/.f64 v (+.f64 e 1)))))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (.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 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (fma.f64 1/120 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 5))) (.f64 (/.f64 v (+.f64 e 1)) e))))
(fma.f64 -1/5040 (.f64 e (/.f64 (pow.f64 v 7) (+.f64 e 1))) (fma.f64 -1/6 (.f64 e (/.f64 (pow.f64 v 3) (+.f64 e 1))) (fma.f64 1/120 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 5))) (*.f64 e (/.f64 v (+.f64 e 1))))))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/5040 (/.f64 (pow.f64 v 7) (/.f64 (+.f64 e 1) e)) (.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 (+.f64 e 1) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e))
(fma.f64 -1 (.f64 (.f64 e e) (sin.f64 v)) (*.f64 e (sin.f64 v)))
(fma.f64 e (sin.f64 v) (.f64 (.f64 e e) (neg.f64 (sin.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))
(*.f64 (sin.f64 v) (fma.f64 e (neg.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 (.f64 e e) (sin.f64 v)) (*.f64 e (sin.f64 v))))
(fma.f64 (pow.f64 e 3) (sin.f64 v) (fma.f64 e (sin.f64 v) (.f64 (.f64 e e) (neg.f64 (sin.f64 v)))))
(fma.f64 (pow.f64 e 3) (sin.f64 v) (.f64 (sin.f64 v) (-.f64 e (.f64 e e))))
(.f64 (.f64 e (sin.f64 v)) (-.f64 (fma.f64 e e 1) e))
(+.f64 (.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 4))) (.f64 (sin.f64 v) e))))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (fma.f64 -1 (.f64 (.f64 e e) (sin.f64 v)) (fma.f64 -1 (.f64 (pow.f64 e 4) (sin.f64 v)) (.f64 e (sin.f64 v)))))
(fma.f64 (pow.f64 e 3) (sin.f64 v) (+.f64 (.f64 e (sin.f64 v)) (.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 (fma.f64 e e 1) (fma.f64 e (neg.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 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (sin.f64 v) (.f64 e e))))
(fma.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)))
(.f64 -1 (.f64 (sin.f64 v) (cbrt.f64 -1)))
(neg.f64 (*.f64 (cbrt.f64 -1) (sin.f64 v)))
(*.f64 (cbrt.f64 -1) (neg.f64 (sin.f64 v)))
(+.f64 (/.f64 (.f64 (sin.f64 v) (cbrt.f64 -1)) e) (.f64 -1 (*.f64 (sin.f64 v) (cbrt.f64 -1))))
(+.f64 (neg.f64 (.f64 (cbrt.f64 -1) (sin.f64 v))) (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 v)) e))
(-.f64 (/.f64 (cbrt.f64 -1) (/.f64 e (sin.f64 v))) (*.f64 (cbrt.f64 -1) (sin.f64 v)))
(*.f64 (cbrt.f64 -1) (-.f64 (/.f64 (sin.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 (.f64 (sin.f64 v) (cbrt.f64 -1)) e) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 v) (cbrt.f64 -1)) (pow.f64 e 2))) (.f64 -1 (*.f64 (sin.f64 v) (cbrt.f64 -1)))))
(+.f64 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 v)) e) (.f64 -1 (+.f64 (/.f64 (sin.f64 v) (/.f64 (.f64 e e) (cbrt.f64 -1))) (.f64 (cbrt.f64 -1) (sin.f64 v)))))
(-.f64 (-.f64 (/.f64 (cbrt.f64 -1) (/.f64 e (sin.f64 v))) (.f64 (/.f64 (cbrt.f64 -1) e) (/.f64 (sin.f64 v) e))) (.f64 (cbrt.f64 -1) (sin.f64 v)))
(-.f64 (.f64 (/.f64 (sin.f64 v) e) (-.f64 (cbrt.f64 -1) (/.f64 (cbrt.f64 -1) e))) (.f64 (cbrt.f64 -1) (sin.f64 v)))
(.f64 (cbrt.f64 -1) (-.f64 (-.f64 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (.f64 e e))) (sin.f64 v)))
(+.f64 (/.f64 (.f64 (sin.f64 v) (cbrt.f64 -1)) e) (+.f64 (/.f64 (.f64 (sin.f64 v) (cbrt.f64 -1)) (pow.f64 e 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 v) (cbrt.f64 -1)) (pow.f64 e 2))) (.f64 -1 (.f64 (sin.f64 v) (cbrt.f64 -1))))))
(+.f64 (/.f64 (.f64 (cbrt.f64 -1) (sin.f64 v)) e) (+.f64 (.f64 -1 (+.f64 (/.f64 (sin.f64 v) (/.f64 (.f64 e e) (cbrt.f64 -1))) (.f64 (cbrt.f64 -1) (sin.f64 v)))) (/.f64 (sin.f64 v) (/.f64 (pow.f64 e 3) (cbrt.f64 -1)))))
(+.f64 (-.f64 (.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (cbrt.f64 -1)) (.f64 (/.f64 (cbrt.f64 -1) e) (/.f64 (sin.f64 v) e))) (-.f64 (/.f64 (cbrt.f64 -1) (/.f64 e (sin.f64 v))) (*.f64 (cbrt.f64 -1) (sin.f64 v))))
(+.f64 (.f64 (/.f64 (sin.f64 v) (.f64 e e)) (-.f64 (/.f64 (cbrt.f64 -1) e) (cbrt.f64 -1))) (*.f64 (cbrt.f64 -1) (-.f64 (/.f64 (sin.f64 v) e) (sin.f64 v))))
(fma.f64 (/.f64 (sin.f64 v) (.f64 e e)) (-.f64 (/.f64 (cbrt.f64 -1) e) (cbrt.f64 -1)) (.f64 (cbrt.f64 -1) (-.f64 (/.f64 (sin.f64 v) e) (sin.f64 v))))
(pow.f64 e 3)
(+.f64 (*.f64 -3 (pow.f64 e 4)) (pow.f64 e 3))
(fma.f64 -3 (pow.f64 e 4) (pow.f64 e 3))
(fma.f64 (pow.f64 e 4) -3 (pow.f64 e 3))
(+.f64 (.f64 -3 (pow.f64 e 4)) (+.f64 (pow.f64 e 3) (.f64 6 (pow.f64 e 5))))
(+.f64 (fma.f64 -3 (pow.f64 e 4) (pow.f64 e 3)) (*.f64 6 (pow.f64 e 5)))
(fma.f64 (pow.f64 e 4) -3 (fma.f64 6 (pow.f64 e 5) (pow.f64 e 3)))
(fma.f64 6 (pow.f64 e 5) (fma.f64 (pow.f64 e 4) -3 (pow.f64 e 3)))
(+.f64 (.f64 -3 (pow.f64 e 4)) (+.f64 (.f64 -10 (pow.f64 e 6)) (+.f64 (pow.f64 e 3) (*.f64 6 (pow.f64 e 5)))))
(fma.f64 -3 (pow.f64 e 4) (fma.f64 -10 (pow.f64 e 6) (+.f64 (pow.f64 e 3) (*.f64 6 (pow.f64 e 5)))))
(fma.f64 (pow.f64 e 4) -3 (fma.f64 -10 (pow.f64 e 6) (fma.f64 6 (pow.f64 e 5) (pow.f64 e 3))))
(fma.f64 (pow.f64 e 4) -3 (fma.f64 6 (pow.f64 e 5) (fma.f64 -10 (pow.f64 e 6) (pow.f64 e 3))))
1
(-.f64 1 (*.f64 3 (/.f64 1 e)))
(-.f64 1 (/.f64 3 e))
(+.f64 1 (/.f64 -3 e))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 e 2)))) (.f64 3 (/.f64 1 e)))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 e e)) (/.f64 3 e)))
(+.f64 (/.f64 6 (*.f64 e e)) (+.f64 1 (/.f64 -3 e)))
(+.f64 (/.f64 (/.f64 6 e) e) (+.f64 1 (/.f64 -3 e)))
(+.f64 1 (+.f64 (/.f64 6 (*.f64 e e)) (/.f64 -3 e)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 e 2)))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 e 3))) (*.f64 3 (/.f64 1 e))))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 e e)) (+.f64 (/.f64 3 e) (/.f64 10 (pow.f64 e 3)))))
(+.f64 (/.f64 6 (*.f64 e e)) (-.f64 1 (+.f64 (/.f64 3 e) (/.f64 10 (pow.f64 e 3)))))
(+.f64 (/.f64 -3 e) (+.f64 1 (+.f64 (/.f64 (/.f64 6 e) e) (/.f64 -10 (pow.f64 e 3)))))
(+.f64 (/.f64 6 (*.f64 e e)) (+.f64 1 (+.f64 (/.f64 -3 e) (/.f64 -10 (pow.f64 e 3)))))
1
(-.f64 1 (*.f64 3 (/.f64 1 e)))
(-.f64 1 (/.f64 3 e))
(+.f64 1 (/.f64 -3 e))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 e 2)))) (.f64 3 (/.f64 1 e)))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 e e)) (/.f64 3 e)))
(+.f64 (/.f64 6 (*.f64 e e)) (+.f64 1 (/.f64 -3 e)))
(+.f64 (/.f64 (/.f64 6 e) e) (+.f64 1 (/.f64 -3 e)))
(+.f64 1 (+.f64 (/.f64 6 (*.f64 e e)) (/.f64 -3 e)))
(-.f64 (+.f64 1 (.f64 6 (/.f64 1 (pow.f64 e 2)))) (+.f64 (.f64 10 (/.f64 1 (pow.f64 e 3))) (*.f64 3 (/.f64 1 e))))
(+.f64 1 (-.f64 (/.f64 6 (*.f64 e e)) (+.f64 (/.f64 3 e) (/.f64 10 (pow.f64 e 3)))))
(+.f64 (/.f64 6 (*.f64 e e)) (-.f64 1 (+.f64 (/.f64 3 e) (/.f64 10 (pow.f64 e 3)))))
(+.f64 (/.f64 -3 e) (+.f64 1 (+.f64 (/.f64 (/.f64 6 e) e) (/.f64 -10 (pow.f64 e 3)))))
(+.f64 (/.f64 6 (*.f64 e e)) (+.f64 1 (+.f64 (/.f64 -3 e) (/.f64 -10 (pow.f64 e 3)))))

eval338.0ms (4.7%)

Compiler: Compiled 24469 to 10680 computations (56.4% saved)

prune163.0ms (2.3%)

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	946	21	967
Fresh	9	13	22
Picked	1	0	1
Done	0	5	5
Total	956	39	995

Error

0.0b

Counts

995 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	30.7b	(/.f64 (/.f64 e (pow.f64 (sin.f64 v) -1/2)) (pow.f64 (sin.f64 v) -1/2))
	30.3b	(.f64 e (/.f64 1 (+.f64 (.f64 1/6 v) (/.f64 1 v))))
	0.9b	(.f64 e (-.f64 (sin.f64 v) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
	63.2b	(.f64 e (-.f64 (/.f64 v e) (/.f64 v (.f64 e e))))
	30.7b	(.f64 e (-.f64 v (.f64 v e)))
✓	1.8b	(*.f64 e (/.f64 1 (/.f64 1 (sin.f64 v))))
	41.5b	(*.f64 (sin.f64 v) (-.f64 (+.f64 1 (/.f64 e (+.f64 e 1))) 1))
	63.0b	(*.f64 e (/.f64 (neg.f64 (/.f64 v e)) e))
▶	1.9b	(/.f64 e (/.f64 1 (sin.f64 v)))
	30.7b	(.f64 v (-.f64 e (.f64 e e)))
▶	30.9b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
	2.2b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 v)) e))
	30.6b	(/.f64 e (/.f64 (+.f64 e 1) v))
	43.4b	(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
	1.7b	(*.f64 (sin.f64 v) e)
	42.0b	(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
✓	31.0b	(*.f64 v e)
	1.7b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 (sin.f64 v) e)))
	63.0b	(.f64 e (.f64 (/.f64 1 e) (-.f64 v (/.f64 v e))))
	2.5b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
	62.7b	(*.f64 v (-.f64 1 (/.f64 1 e)))
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	42.1b	(-.f64 (+.f64 1 (*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))) 1)
	14.1b	(*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1))
	29.9b	(.f64 e (/.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))))
	61.1b	v
▶	14.1b	(*.f64 e (log.f64 (exp.f64 (sin.f64 v))))
✓	63.0b	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
	1.6b	(*.f64 (sin.f64 v) (/.f64 (sqrt.f64 e) (/.f64 (+.f64 e 1) (sqrt.f64 e))))
	62.7b	(-.f64 v (/.f64 v e))
✓	0.1b	(.f64 (sin.f64 v) (/.f64 e (+.f64 1 (.f64 (cos.f64 v) e))))
	30.7b	(*.f64 e (pow.f64 (sqrt.f64 (sin.f64 v)) 2))
	31.3b	(*.f64 e (/.f64 1 (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 v))))))
▶	62.7b	(/.f64 (neg.f64 v) e)
	1.4b	(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
	60.2b	(sin.f64 v)
▶	0.3b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
	31.0b	(*.f64 e (/.f64 1 (/.f64 1 v)))
	22.4b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)

Compiler

Compiled 763 to 539 computations (29.4% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 14 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	184	15
2	2479	15

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
445×	`unswap-sqr_binary64`
422×	`fma-def_binary64`
353×	`associate-l_binary64`
351×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	989
1	276	942
2	885	922
3	4211	860

Stop Event

1×	node limit

Counts

88 → 87

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)))

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

localize5.0ms (0.1%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 e 1) (*.f64 v e))
✓	0.5b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	178	20
2	2551	20

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	548
1	107	536
2	270	526
3	971	509
4	4145	502

Stop Event

1×	node limit

Counts

135 → 109

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	144	6
2	1804	6

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	196
1	73	193
2	194	182
3	585	180
4	1555	178
5	2400	178
6	2607	178
7	3055	178
8	3934	178
9	4077	178
10	4304	178
11	4786	178
12	5382	178
13	6255	178
14	7362	178

Stop Event

1×	node limit

Counts

58 → 41

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (sin.f64 v))
✓	0.1b	(*.f64 e (log.f64 (exp.f64 (sin.f64 v))))
✓	1.9b	(log.f64 (exp.f64 (sin.f64 v)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite45.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	120	14
2	1331	14

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

Outputs

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

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

simplify154.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

838×	`fma-def_binary64`
753×	`sqr-pow_binary64`
517×	`*-commutative_binary64`
496×	`cube-prod_binary64`
399×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	310
1	129	300
2	329	286
3	999	278
4	2629	278
5	3537	278
6	3734	278
7	3968	278
8	4242	278
9	4554	278
10	4978	278
11	5531	278
12	6106	278
13	6818	278
14	7148	278
15	7493	278
16	7783	278

Stop Event

1×	node limit

Counts

89 → 70

Calls

Call 1

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

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

eval109.0ms (1.5%)

Compiler: Compiled 6035 to 3463 computations (42.6% saved)

prune78.0ms (1.1%)

Pruning

40 alts after pruning (33 fresh and 7 done)

	Pruned	Kept	Total
New	396	11	407
Fresh	7	22	29
Picked	0	1	1
Done	3	6	9
Total	406	40	446

Error

Counts

446 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	30.3b	(.f64 e (/.f64 1 (+.f64 (.f64 1/6 v) (/.f64 1 v))))
	0.9b	(.f64 e (-.f64 (sin.f64 v) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
	22.9b	(/.f64 e (sqrt.f64 (pow.f64 (sin.f64 v) -2)))
	31.0b	(*.f64 e (/.f64 1 (/.f64 1 v)))
	14.1b	(*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1))
	63.2b	(.f64 e (-.f64 (/.f64 v e) (/.f64 v (.f64 e e))))
	30.7b	(.f64 e (-.f64 v (.f64 v e)))
✓	1.8b	(*.f64 e (/.f64 1 (/.f64 1 (sin.f64 v))))
	30.6b	(/.f64 e (/.f64 (+.f64 e 1) v))
	41.5b	(*.f64 (sin.f64 v) (-.f64 (+.f64 1 (/.f64 e (+.f64 e 1))) 1))
	31.3b	(/.f64 e (expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 v)))))
	63.0b	(*.f64 e (/.f64 (neg.f64 (/.f64 v e)) e))
✓	1.9b	(/.f64 e (/.f64 1 (sin.f64 v)))
	30.7b	(.f64 v (-.f64 e (.f64 e e)))
	61.1b	v
	29.9b	(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
	43.4b	(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
	1.7b	(*.f64 (sin.f64 v) e)
	42.0b	(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
✓	31.0b	(*.f64 v e)
	1.7b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 (sin.f64 v) e)))
	63.0b	(.f64 e (.f64 (/.f64 1 e) (-.f64 v (/.f64 v e))))
	2.5b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
	62.7b	(*.f64 v (-.f64 1 (/.f64 1 e)))
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	42.1b	(-.f64 (+.f64 1 (*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))) 1)
✓	14.1b	(*.f64 e (log.f64 (exp.f64 (sin.f64 v))))
✓	63.0b	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
	31.3b	(/.f64 1 (/.f64 1 (*.f64 v e)))
	31.0b	(/.f64 e (/.f64 1 v))
	62.7b	(-.f64 v (/.f64 v e))
	30.7b	(*.f64 e (pow.f64 (sqrt.f64 (sin.f64 v)) 2))
✓	62.7b	(/.f64 (neg.f64 v) e)
	1.4b	(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
	60.2b	(sin.f64 v)
	2.0b	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))
	2.2b	(/.f64 1 (/.f64 (/.f64 1 (sin.f64 v)) e))
	22.4b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
	0.3b	(/.f64 e (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v)))
	30.3b	(/.f64 e (+.f64 (*.f64 1/6 v) (/.f64 1 v)))

Compiler

Compiled 401 to 283 computations (29.4% saved)

regimes119.0ms (1.7%)

Counts

75 → 1

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	e
34.0ms	v
27.0ms	(/.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 726 to 373 computations (48.6% saved)

regimes112.0ms (1.6%)

Counts

71 → 1

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	e
32.0ms	v
30.0ms	(/.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 661 to 342 computations (48.3% saved)

regimes58.0ms (0.8%)

Counts

44 → 1

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	v
21.0ms	e

Results

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

Compiler

Compiled 363 to 194 computations (46.6% saved)

regimes51.0ms (0.7%)

Counts

43 → 1

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	v
21.0ms	e

Results

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

Compiler

Compiled 352 to 190 computations (46% saved)

regimes50.0ms (0.7%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	v
20.0ms	e

Results

Error	Segments	Branch
1.3b	1	`e`
1.3b	1	`v`

Compiler

Compiled 341 to 184 computations (46% saved)

regimes48.0ms (0.7%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	e
20.0ms	v

Results

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

Compiler

Compiled 299 to 159 computations (46.8% saved)

regimes46.0ms (0.6%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	e
18.0ms	v

Results

Error	Segments	Branch
1.7b	1	`e`
1.7b	1	`v`

Compiler

Compiled 275 to 146 computations (46.9% saved)

regimes38.0ms (0.5%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	v
15.0ms	e

Results

Error	Segments	Branch
29.9b	1	`e`
29.9b	1	`v`

Compiler

Compiled 229 to 123 computations (46.3% saved)

regimes35.0ms (0.5%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	e
14.0ms	v

Results

Error	Segments	Branch
29.9b	1	`e`
29.9b	1	`v`

Compiler

Compiled 204 to 107 computations (47.5% saved)

regimes32.0ms (0.5%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	v
13.0ms	e

Results

Error	Segments	Branch
30.3b	1	`e`
30.3b	1	`v`

Compiler

Compiled 183 to 93 computations (49.2% saved)

regimes26.0ms (0.4%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	v
10.0ms	e

Results

Error	Segments	Branch
30.3b	1	`e`
30.3b	1	`v`

Compiler

Compiled 139 to 70 computations (49.6% saved)

regimes23.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	v
10.0ms	e

Results

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

Compiler

Compiled 103 to 51 computations (50.5% saved)

regimes20.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	v
8.0ms	e

Results

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

Compiler

Compiled 81 to 41 computations (49.4% saved)

regimes12.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(*.f64 v e)

Calls

2 calls:

6.0ms	e
5.0ms	v

Results

Error	Segments	Branch
31.0b	1	`e`
31.0b	1	`v`

Compiler

Compiled 32 to 14 computations (56.3% 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	v
3.0ms	e

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative_binary64`
11×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	221
1	78	221
2	87	221
3	95	221
4	101	221
5	104	221
6	105	221

Stop Event

1×

saturated

Calls

Call 1

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

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

end102.0ms (1.4%)

Stop Event

1×

fuel

Compiler

Compiled 328 to 208 computations (36.6% saved)