Details

analyze12.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 14 computations (30% saved)

sample2.6s (35.7%)

Results

1.1s	2064×	body	1024	valid
1.0s	5135×	body	256	valid
378.0ms	1051×	body	512	valid
5.0ms	6×	body	2048	valid

preprocess36.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 25 to 17 computations (32% saved)

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 14 computations (56.3% saved)

series9.0ms (0.1%)

Counts

3 → 32

Calls

12 calls:

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

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	178	21
2	2236	21

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

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

Outputs

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

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

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
588×	`fma-def_binary64`
503×	`unswap-sqr_binary64`
410×	`associate-l_binary64`
389×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1093
1	336	1042
2	1059	1018
3	4845	994

Stop Event

1×	node limit

Counts

86 → 92

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 12 computations (64.7% saved)

series13.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	207	27
2	2831	27

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

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

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

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

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

175 → 142

Calls

Call 1

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

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

eval95.0ms (1.3%)

Compiler: Compiled 5183 to 2826 computations (45.5% saved)

prune88.0ms (1.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	242	15	257
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	243	16	259

Error

0.0b

Counts

259 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
	0.4b	(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e 1 1)))
	28.5b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (.f64 v e))) (+.f64 1 (.f64 e (cos.f64 v))))
▶	0.8b	(*.f64 (sin.f64 v) e)
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
▶	28.0b	(*.f64 e (/.f64 v (+.f64 e 1)))
▶	28.5b	(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (.f64 v e)) (+.f64 1 (.f64 e (cos.f64 v))))
	28.0b	(/.f64 (*.f64 v e) (+.f64 1 e))
▶	15.2b	(*.f64 e (/.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) (fma.f64 e (cos.f64 v) 1)))
	22.7b	(/.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))))
	28.0b	(*.f64 (/.f64 e (+.f64 e 1)) v)
	0.3b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
	0.4b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
	0.6b	(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
▶	0.2b	(*.f64 e (/.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1)))

Compiler

Compiled 429 to 303 computations (29.4% saved)

localize40.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 43 to 16 computations (62.8% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(*.f64 e (/.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1)))
1.0ms	v	@	0	(expm1.f64 (sin.f64 v))
1.0ms	v	@	0	(log1p.f64 (expm1.f64 (sin.f64 v)))
1.0ms	v	@	inf	(expm1.f64 (sin.f64 v))
1.0ms	e	@	inf	(*.f64 e (/.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1)))

rewrite77.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`log-prod_binary64`
382×	`exp-prod_binary64`
344×	`prod-exp_binary64`
297×	`pow-prod-down_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	200	23
2	2443	23

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

Outputs

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

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

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

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
577×	`fma-def_binary64`
471×	`unswap-sqr_binary64`
382×	`associate-l_binary64`
369×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1157
1	333	1106
2	1042	1080
3	4747	1023

Stop Event

1×	node limit

Counts

155 → 145

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 (.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)))
v
(+.f64 v (*.f64 1/2 (pow.f64 v 2)))
(+.f64 v (+.f64 (.f64 1/2 (pow.f64 v 2)) (.f64 -1/8 (pow.f64 v 4))))
(+.f64 (.f64 -1/15 (pow.f64 v 5)) (+.f64 v (+.f64 (.f64 1/2 (pow.f64 v 2)) (*.f64 -1/8 (pow.f64 v 4)))))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)

Outputs
v
(+.f64 v (*.f64 -1/6 (pow.f64 v 3)))
(fma.f64 -1/6 (pow.f64 v 3) v)
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (.f64 1/120 (pow.f64 v 5))))
(+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5))))
(fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v))
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (+.f64 (.f64 -1/5040 (pow.f64 v 7)) (*.f64 1/120 (pow.f64 v 5)))))
(+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 1/120 (pow.f64 v 5)))))
(+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (*.f64 -1/5040 (pow.f64 v 7)))))
(+.f64 (fma.f64 -1/6 (pow.f64 v 3) v) (fma.f64 1/120 (pow.f64 v 5) (*.f64 -1/5040 (pow.f64 v 7))))
(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 (.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)))))
(-.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (sin.f64 v) (.f64 e (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (.f64 e (*.f64 e (cos.f64 v)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(fma.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e e))) (fma.f64 -1 (.f64 (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 4)) (.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(+.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (neg.f64 (sin.f64 v)) (+.f64 (.f64 e (.f64 e (cos.f64 v))) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(fma.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (.f64 e (cos.f64 v)) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e)))
(/.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 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e))
(.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 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e)) (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (.f64 (+.f64 (/.f64 -1 (.f64 e (cos.f64 v))) 1) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e) (/.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 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 3))) (+.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)) (.f64 (+.f64 (/.f64 -1 (.f64 e (cos.f64 v))) 1) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e))
(.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 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e)) (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (.f64 (+.f64 (/.f64 -1 (.f64 e (cos.f64 v))) 1) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e) (/.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 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) 3))) (+.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) e) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) 3)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)) (.f64 (+.f64 (/.f64 -1 (.f64 e (cos.f64 v))) 1) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (.f64 v e) (+.f64 1 e)))
(fma.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (/.f64 (.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 (/.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 v (/.f64 (+.f64 e 1) e)))
(fma.f64 (pow.f64 v 3) (.f64 (/.f64 e (+.f64 e 1)) (-.f64 -1/6 (/.f64 (.f64 e -1/2) (+.f64 e 1)))) (*.f64 (/.f64 e (+.f64 e 1)) v))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (/.f64 (.f64 -1/2 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (.f64 v e) (+.f64 e 1))) (.f64 (pow.f64 v 5) (-.f64 (.f64 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 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 (.f64 1/120 e) (+.f64 e 1)) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (/.f64 (+.f64 e 1) e)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/24))) (.f64 (/.f64 v (+.f64 e 1)) e)))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (fma.f64 (pow.f64 v 5) (+.f64 (fma.f64 1/120 (/.f64 e (+.f64 e 1)) (.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/24)) (.f64 (.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2))) 1/2)) (/.f64 v (/.f64 (+.f64 e 1) e))))
(fma.f64 (pow.f64 v 3) (.f64 (/.f64 e (+.f64 e 1)) (-.f64 -1/6 (/.f64 (.f64 e -1/2) (+.f64 e 1)))) (fma.f64 (pow.f64 v 5) (+.f64 (.f64 (/.f64 e (+.f64 e 1)) (-.f64 1/120 (/.f64 (.f64 e 1/24) (+.f64 e 1)))) (.f64 (+.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e))) (/.f64 1/2 (pow.f64 (/.f64 (+.f64 e 1) e) 3))) 1/2)) (*.f64 (/.f64 e (+.f64 e 1)) v)))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (/.f64 (.f64 -1/2 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (.f64 v e) (+.f64 e 1))) (fma.f64 (pow.f64 v 7) (-.f64 (.f64 -1/5040 (/.f64 e (+.f64 e 1))) (fma.f64 1/24 (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (/.f64 (.f64 -1/2 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (/.f64 e (+.f64 e 1))) (fma.f64 1/24 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) (.f64 -1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (/.f64 (.f64 -1/2 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (+.f64 e 1) e))))) (/.f64 (+.f64 e 1) e)) (/.f64 (.f64 -1/720 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 e 1))) (fma.f64 1/24 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) (.f64 -1/2 (/.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (/.f64 (.f64 -1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (+.f64 e 1) e))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (.f64 (/.f64 v (+.f64 e 1)) e)) (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 (.f64 1/120 e) (+.f64 e 1)) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (/.f64 (+.f64 e 1) e)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/24))) (.f64 (pow.f64 v 7) (-.f64 (.f64 -1/5040 (/.f64 e (+.f64 e 1))) (fma.f64 1/24 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 (.f64 1/120 e) (+.f64 e 1)) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (/.f64 (+.f64 e 1) e)) (.f64 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/24))) (/.f64 (+.f64 e 1) e)) (.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/720)))))))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (fma.f64 (pow.f64 v 5) (+.f64 (fma.f64 1/120 (/.f64 e (+.f64 e 1)) (.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/24)) (.f64 (.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2))) 1/2)) (fma.f64 (pow.f64 v 7) (-.f64 (/.f64 (.f64 -1/5040 e) (+.f64 e 1)) (fma.f64 -1/2 (.f64 (/.f64 e (+.f64 e 1)) (+.f64 (fma.f64 1/120 (/.f64 e (+.f64 e 1)) (.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/24)) (.f64 (.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2))) 1/2))) (fma.f64 1/24 (.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (.f64 (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2))) (.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/720)))) (/.f64 v (/.f64 (+.f64 e 1) e)))))
(fma.f64 (pow.f64 v 3) (.f64 (/.f64 e (+.f64 e 1)) (-.f64 -1/6 (/.f64 (.f64 e -1/2) (+.f64 e 1)))) (fma.f64 (pow.f64 v 5) (+.f64 (.f64 (/.f64 e (+.f64 e 1)) (-.f64 1/120 (/.f64 (.f64 e 1/24) (+.f64 e 1)))) (.f64 (+.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e))) (/.f64 1/2 (pow.f64 (/.f64 (+.f64 e 1) e) 3))) 1/2)) (fma.f64 (pow.f64 v 7) (+.f64 (.f64 (/.f64 e (+.f64 e 1)) (-.f64 -1/5040 (/.f64 (.f64 e -1/720) (+.f64 e 1)))) (.f64 e (-.f64 (.f64 -1/24 (/.f64 (.f64 (/.f64 e (+.f64 e 1)) (-.f64 -1/6 (/.f64 (.f64 e -1/2) (+.f64 e 1)))) (+.f64 e 1))) (/.f64 (.f64 -1/2 (+.f64 (.f64 (/.f64 e (+.f64 e 1)) (-.f64 1/120 (/.f64 (.f64 e 1/24) (+.f64 e 1)))) (.f64 (+.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e))) (/.f64 1/2 (pow.f64 (/.f64 (+.f64 e 1) e) 3))) 1/2))) (+.f64 e 1))))) (.f64 (/.f64 e (+.f64 e 1)) v))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
v
(+.f64 v (*.f64 1/2 (pow.f64 v 2)))
(+.f64 v (.f64 1/2 (.f64 v v)))
(fma.f64 1/2 (*.f64 v v) v)
(fma.f64 v (*.f64 v 1/2) v)
(+.f64 v (+.f64 (.f64 1/2 (pow.f64 v 2)) (.f64 -1/8 (pow.f64 v 4))))
(+.f64 v (fma.f64 1/2 (.f64 v v) (.f64 -1/8 (pow.f64 v 4))))
(fma.f64 v (*.f64 v 1/2) (fma.f64 -1/8 (pow.f64 v 4) v))
(+.f64 (.f64 -1/15 (pow.f64 v 5)) (+.f64 v (+.f64 (.f64 1/2 (pow.f64 v 2)) (*.f64 -1/8 (pow.f64 v 4)))))
(fma.f64 -1/15 (pow.f64 v 5) (+.f64 v (fma.f64 1/2 (.f64 v v) (.f64 -1/8 (pow.f64 v 4)))))
(+.f64 (fma.f64 1/2 (.f64 v v) (.f64 -1/8 (pow.f64 v 4))) (fma.f64 (pow.f64 v 5) -1/15 v))
(fma.f64 (pow.f64 v 5) -1/15 (fma.f64 v (*.f64 v 1/2) (fma.f64 -1/8 (pow.f64 v 4) v)))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series14.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify101.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

103 → 86

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 10 to 4 computations (60% saved)

series3.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`pow1_binary64`
440×	`add-sqr-sqrt_binary64`
435×	`*-un-lft-identity_binary64`
422×	`add-log-exp_binary64`
422×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	97	6
2	1146	6

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify110.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	76
1	70	73
2	191	62
3	582	60
4	1560	58
5	2413	58
6	2620	58
7	3068	58
8	3947	58
9	4090	58
10	4317	58
11	4799	58
12	5395	58
13	6268	58
14	7379	58

Stop Event

1×	node limit

Counts

15 → 18

Calls

Call 1

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

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

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
✓	0.1b	(.f64 -1/6 (.f64 (pow.f64 v 3) e))
	0.1b	(*.f64 e (cos.f64 v))
✓	6.1b	(*.f64 (pow.f64 v 3) e)

Compiler

Compiled 66 to 35 computations (47% saved)

series9.0ms (0.1%)

Counts

3 → 15

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	e	@	0	(*.f64 (pow.f64 v 3) e)
1.0ms	v	@	0	(*.f64 (pow.f64 v 3) e)
1.0ms	e	@	inf	(.f64 -1/6 (.f64 (pow.f64 v 3) e))
1.0ms	v	@	inf	(*.f64 (pow.f64 v 3) e)
1.0ms	e	@	inf	(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))

rewrite76.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
381×	`exp-prod_binary64`
381×	`fma-def_binary64`
359×	`pow-prod-down_binary64`
267×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	221	30
2	2766	28

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 v 3) e))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (pow.f64 v 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (pow.f64 v 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (pow.f64 v 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (pow.f64 v 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v 3) e))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 v 3) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (cbrt.f64 e)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 e) (pow.f64 v 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (pow.f64 v 3) e)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 v e)) v) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 (*.f64 v e))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 v 3) e))) 2)) (cbrt.f64 (log.f64 (*.f64 (pow.f64 v 3) e))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 v 3) e)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 v 3) e))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 v 3) e))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 v 3) e)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 v 3) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 v 3) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 v 3) e)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (cbrt.f64 e))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 e) (pow.f64 v 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 v 3) e)) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6) 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 v (cbrt.f64 e)) (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 9) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)))) (sqrt.f64 (log.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 9) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 v (cbrt.f64 e)) (cbrt.f64 -1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 9) -1/216)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6) 1/36) (*.f64 e (-.f64 (*.f64 (pow.f64 v 3) -1/6) v))) (/.f64 (pow.f64 (*.f64 v e) 2) (*.f64 e (-.f64 (*.f64 (pow.f64 v 3) -1/6) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (+.f64 v (*.f64 (pow.f64 v 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))) (pow.f64 (cbrt.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))) 2) (cbrt.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))) (sqrt.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 9) -1/216 (pow.f64 (*.f64 v e) 3)) (/.f64 1 (fma.f64 (*.f64 v e) (-.f64 (*.f64 v e) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)) (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6) 1/36) (pow.f64 (*.f64 v e) 2)) (/.f64 1 (*.f64 e (-.f64 (*.f64 (pow.f64 v 3) -1/6) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 v e) (-.f64 (*.f64 v e) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)) (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6) 1/36)) (fma.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 9) -1/216 (pow.f64 (*.f64 v e) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 e (-.f64 (*.f64 (pow.f64 v 3) -1/6) v)) (-.f64 (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6) 1/36) (pow.f64 (*.f64 v e) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 9) -1/216 (pow.f64 (*.f64 v e) 3)) (fma.f64 (*.f64 v e) (-.f64 (*.f64 v e) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)) (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 9) -1/216 (pow.f64 (*.f64 v e) 3)) (+.f64 (pow.f64 (*.f64 v e) 2) (-.f64 (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6) 1/36) (*.f64 -1/6 (*.f64 (*.f64 (pow.f64 v 3) e) (*.f64 v e))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6) 1/36) (pow.f64 (*.f64 v e) 2)) (*.f64 e (-.f64 (*.f64 (pow.f64 v 3) -1/6) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 9) -1/216 (pow.f64 (*.f64 v e) 3))) (neg.f64 (fma.f64 (*.f64 v e) (-.f64 (*.f64 v e) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)) (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6) 1/36) (pow.f64 (*.f64 v e) 2))) (neg.f64 (*.f64 e (-.f64 (*.f64 (pow.f64 v 3) -1/6) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 v e) 2) (*.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 6) 1/36)) (-.f64 (*.f64 v e) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))) 2)))) (#(struct:change 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(*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (fma.f64 (pow.f64 v 3) -1/6 v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))) (pow.f64 (exp.f64 e) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)) (+.f64 1 (expm1.f64 (*.f64 v e)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))) (+.f64 1 (expm1.f64 (*.f64 v e)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 v e))) (exp.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 e) v) (+.f64 1 (expm1.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 v e))) (+.f64 1 (expm1.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 v e (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 v 3) (*.f64 e -1/6) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 e v (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 e (*.f64 (pow.f64 v 3) -1/6) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 v 3) e) -1/6 (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (*.f64 (pow.f64 v 3) e) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6) 1 (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v e) 1 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 v e) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 v (cbrt.f64 e)) (cbrt.f64 -1/6)) (pow.f64 (*.f64 (*.f64 v (cbrt.f64 e)) (cbrt.f64 -1/6)) 2) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 v (cbrt.f64 e)) (cbrt.f64 -1/6)) 2) (*.f64 (*.f64 v (cbrt.f64 e)) (cbrt.f64 -1/6)) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 e e)) (*.f64 v (cbrt.f64 e)) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 v v)) (*.f64 (cbrt.f64 v) e) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 v e)) (pow.f64 (cbrt.f64 (*.f64 v e)) 2) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 v e)) 2) (cbrt.f64 (*.f64 v e)) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 v (cbrt.f64 e)) 2) (*.f64 (*.f64 v (cbrt.f64 e)) -1/6) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 v 3) e) -1/6)) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) v) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) e) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 v e)) (sqrt.f64 (*.f64 v e)) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 e) (pow.f64 v 3/2)) (*.f64 (*.f64 (sqrt.f64 e) (pow.f64 v 3/2)) -1/6) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 v 3) -1/6) e (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 e) (pow.f64 v 3) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 (*.f64 v (cbrt.f64 e)) 2)) (*.f64 v (cbrt.f64 e)) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 e) (pow.f64 v 3/2))) (*.f64 (sqrt.f64 e) (pow.f64 v 3/2)) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (pow.f64 v 3) -1/6) 1) e (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (pow.f64 v 3) -1/6) (cbrt.f64 (*.f64 e e))) (cbrt.f64 e) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (pow.f64 v 3) -1/6) (sqrt.f64 e)) (sqrt.f64 e) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (cbrt.f64 (*.f64 e e))) (cbrt.f64 e) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 v (sqrt.f64 e)) (sqrt.f64 e) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 e (cbrt.f64 (*.f64 v v))) (cbrt.f64 v) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 e (sqrt.f64 v)) (sqrt.f64 v) (*.f64 (*.f64 (pow.f64 v 3) e) -1/6))))))

simplify118.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1444×	`fma-def_binary64`
1090×	`fma-neg_binary64`
480×	`unswap-sqr_binary64`
441×	`distribute-rgt-neg-in_binary64`
297×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	180
1	48	156
2	135	156
3	451	156
4	1354	156
5	2298	156
6	4205	156
7	5306	156
8	6654	156
9	6971	156
10	7140	156
11	7358	156

Stop Event

1×	node limit

Counts

146 → 137

Calls

Call 1

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

Outputs
(*.f64 v e)
(.f64 -1/6 (.f64 (pow.f64 v 3) e))
(.f64 -1/6 (.f64 e (pow.f64 v 3)))
(.f64 e (.f64 -1/6 (pow.f64 v 3)))
(.f64 -1/6 (.f64 (pow.f64 v 3) e))
(.f64 -1/6 (.f64 e (pow.f64 v 3)))
(.f64 e (.f64 -1/6 (pow.f64 v 3)))
(.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 v 3)) (.f64 -1 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 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 v 3)) (.f64 -1 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 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 v 3)) (.f64 -1 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 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 v 3)) (.f64 -1 v)) e))
(.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 v)
✓	0.1b	(*.f64 e (/.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) (fma.f64 e (cos.f64 v) 1)))
✓	0.4b	(+.f64 1 (sin.f64 v))
✓	2.7b	(-.f64 (+.f64 1 (sin.f64 v)) 1)

Compiler

Compiled 50 to 28 computations (44% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`log-prod_binary64`
302×	`prod-diff_binary64`
300×	`fma-def_binary64`
298×	`pow2_binary64`
208×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	243	24
2	3550	24

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

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

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

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

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
558×	`fma-def_binary64`
445×	`unswap-sqr_binary64`
362×	`associate-l_binary64`
346×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1151
1	316	1100
2	997	1076
3	4574	1019

Stop Event

1×	node limit

Counts

192 → 182

Calls

Call 1

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

eval225.0ms (3.1%)

Compiler: Compiled 12913 to 7311 computations (43.4% saved)

prune111.0ms (1.5%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	652	22	674
Fresh	7	3	10
Picked	1	0	1
Done	3	2	5
Total	663	27	690

Error

0.0b

Counts

690 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	15.3b	(*.f64 e (/.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 v)))) (fma.f64 e (cos.f64 v) 1)))
	15.5b	(*.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) e)
	61.1b	v
▶	28.9b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
	0.4b	(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e 1 1)))
▶	28.4b	(*.f64 v e)
	0.4b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
	28.2b	(.f64 (.f64 v e) (+.f64 (*.f64 e e) (-.f64 1 e)))
	0.5b	(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e)))
▶	0.3b	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
	28.3b	(.f64 v (-.f64 e (.f64 e e)))
	0.3b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
▶	28.4b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
▶	23.2b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
	28.1b	(/.f64 e (/.f64 (+.f64 e 1) v))
	1.7b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
✓	0.8b	(*.f64 (sin.f64 v) e)
	30.5b	(*.f64 (pow.f64 (sqrt.f64 (sin.f64 v)) 2) e)
	63.0b	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
	15.3b	(*.f64 e (/.f64 (+.f64 (+.f64 (sin.f64 v) -1) 1) (fma.f64 e (cos.f64 v) 1)))
	62.6b	(-.f64 v (/.f64 v e))
	0.9b	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) e)
	29.0b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
	42.8b	(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
	42.9b	(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	28.0b	(/.f64 (*.f64 v e) (+.f64 1 e))

Compiler

Compiled 562 to 395 computations (29.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 31 to 14 computations (54.8% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	184	25
2	2479	25

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1252
1	324	1187
2	1025	1165
3	4739	1108

Stop Event

1×	node limit

Counts

164 → 154

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 e 1) (*.f64 e v))
✓	0.6b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))

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

rewrite65.0ms (0.9%)

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	2560	20

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

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

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

135 → 109

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
	0.1b	(.f64 -1/6 (.f64 (pow.f64 v 3) e))
	6.1b	(*.f64 (pow.f64 v 3) e)

Compiler

Compiled 35 to 21 computations (40% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 v)
	0.1b	(*.f64 (sin.f64 v) e)
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
✓	17.7b	(sqrt.f64 (*.f64 (sin.f64 v) e))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series9.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

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

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	48
1	6	48

Stop Event

1×

saturated

Counts

58 → 50

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)

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)

eval172.0ms (2.4%)

Compiler: Compiled 8285 to 4704 computations (43.2% saved)

prune94.0ms (1.3%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	528	9	537
Fresh	6	14	20
Picked	0	1	1
Done	2	4	6
Total	536	28	564

Error

Counts

564 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	15.3b	(*.f64 e (/.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 v)))) (fma.f64 e (cos.f64 v) 1)))
	15.5b	(*.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) e)
	61.1b	v
✓	28.9b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
▶	62.6b	(-.f64 v (/.f64 v e))
	0.4b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
	28.2b	(.f64 (.f64 v e) (+.f64 (*.f64 e e) (-.f64 1 e)))
	0.3b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
▶	0.3b	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
	28.1b	(/.f64 e (/.f64 (+.f64 e 1) v))
	28.3b	(.f64 v (-.f64 e (.f64 e e)))
▶	28.4b	(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
	1.0b	(/.f64 (sin.f64 v) (/.f64 1 e))
	42.9b	(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
	28.0b	(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
✓	0.8b	(*.f64 (sin.f64 v) e)
	1.1b	(.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
	28.7b	(/.f64 1 (/.f64 1 (*.f64 v e)))
▶	63.0b	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
	15.3b	(*.f64 e (/.f64 (+.f64 (+.f64 (sin.f64 v) -1) 1) (fma.f64 e (cos.f64 v) 1)))
▶	0.9b	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) e)
	29.0b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
✓	28.4b	(*.f64 v e)
	42.8b	(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (.f64 (cbrt.f64 (sin.f64 v)) e))
✓	23.2b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	28.0b	(/.f64 (*.f64 v e) (+.f64 1 e))

Compiler

Compiled 553 to 386 computations (30.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series7.0ms (0.1%)

Counts

2 → 26

Calls

12 calls:

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

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

132 → 140

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite52.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	116	7
2	1789	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

141×	`fma-def_binary64`
67×	`fma-neg_binary64`
39×	`associate-r_binary64`
39×	`distribute-rgt-in_binary64`
32×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	218
1	30	218
2	71	155
3	136	155
4	244	155
5	473	155
6	697	155
7	701	155

Stop Event

1×

saturated

Counts

60 → 43

Calls

Call 1

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

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

localize9.0ms (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)
✓	16.3b	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))

Compiler

Compiled 28 to 6 computations (78.6% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite192.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	164	23
2	2643	23

Stop Event

1×	node limit

Counts

2 → 293

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	487
1	54	445
2	121	382
3	310	382
4	1046	382
5	4934	382

Stop Event

1×	node limit

Counts

341 → 307

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))

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 e) e)
✓	0.2b	(*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v))
✓	0.6b	(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series4.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

529×	`log-prod_binary64`
366×	`pow-prod-down_binary64`
258×	`pow2_binary64`
230×	`log-div_binary64`
182×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	207	27
2	3108	27

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

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

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

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

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

735×	`fma-def_binary64`
463×	`times-frac_binary64`
436×	`distribute-lft-out--_binary64`
376×	`distribute-rgt-neg-in_binary64`
333×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	617
1	110	605
2	272	595
3	972	578
4	4265	571

Stop Event

1×	node limit

Counts

216 → 182

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) e)
0.0ms	v	@	0	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) e)
0.0ms	e	@	inf	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) e)
0.0ms	e	@	-inf	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) e)
0.0ms	v	@	-inf	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) e)

rewrite47.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`pow1_binary64`
518×	`add-sqr-sqrt_binary64`
498×	`expm1-log1p-u_binary64`
497×	`add-log-exp_binary64`
497×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	119	6
2	1356	6

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) e)

Outputs

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

simplify135.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1155×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
596×	`cube-prod_binary64`
430×	`fabs-mul_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	196
1	73	193
2	194	182
3	588	180
4	1572	178
5	2429	178
6	2636	178
7	3084	178
8	3963	178
9	4106	178
10	4333	178
11	4815	178
12	5411	178
13	6284	178
14	7393	178

Stop Event

1×	node limit

Counts

35 → 20

Calls

Call 1

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

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

eval408.0ms (5.7%)

Compiler: Compiled 20422 to 9048 computations (55.7% saved)

prune235.0ms (3.3%)

Pruning

36 alts after pruning (28 fresh and 8 done)

	Pruned	Kept	Total
New	866	17	883
Fresh	7	11	18
Picked	0	1	1
Done	2	7	9
Total	875	36	911

Error

Counts

911 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	61.1b	v
	63.0b	(*.f64 e (/.f64 (/.f64 (neg.f64 v) e) e))
	15.5b	(*.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) e)
✓	28.9b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
✓	62.6b	(-.f64 v (/.f64 v e))
	0.3b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
✓	0.3b	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
	1.0b	(/.f64 (sin.f64 v) (/.f64 1 e))
✓	23.2b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
	62.6b	(/.f64 1 (/.f64 e (*.f64 e (-.f64 v (/.f64 v e)))))
	28.1b	(/.f64 e (/.f64 (+.f64 e 1) v))
	63.0b	(/.f64 e (/.f64 e (-.f64 v (/.f64 v e))))
	42.9b	(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
	28.0b	(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
	28.3b	(.f64 v (-.f64 e (.f64 e e)))
	28.6b	(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 (/.f64 1 e) 1))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 (/.f64 1 e) 1))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1))))))) (+.f64 (/.f64 v (+.f64 (/.f64 1 e) 1)) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))))))
✓	0.8b	(*.f64 (sin.f64 v) e)
	1.1b	(.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
	28.7b	(/.f64 1 (/.f64 1 (*.f64 v e)))
	30.5b	(*.f64 (log1p.f64 (pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 v))) 2)) e)
	28.5b	(+.f64 (/.f64 v (+.f64 (/.f64 1 e) 1)) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1))))))
	28.4b	(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) e) v))
	15.3b	(/.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) (+.f64 (/.f64 1 e) (cos.f64 v)))
	0.5b	(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) 1))
	28.4b	(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) v) e))
	28.4b	(/.f64 1 (/.f64 (+.f64 1 e) (/.f64 v (/.f64 1 e))))
	0.6b	(pow.f64 (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (sin.f64 v)) -1)
✓	0.9b	(*.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) e)
	29.0b	(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
✓	28.4b	(*.f64 v e)
	42.8b	(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
	62.6b	(*.f64 v (-.f64 1 (/.f64 1 e)))
	1.7b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (.f64 (cbrt.f64 (sin.f64 v)) e))
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	28.0b	(/.f64 v (+.f64 (/.f64 1 e) 1))
	62.6b	(/.f64 (neg.f64 v) e)

Compiler

Compiled 497 to 374 computations (24.7% saved)

regimes116.0ms (1.6%)

Counts

65 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(/.f64 v (+.f64 (/.f64 1 e) 1))
(.f64 v (-.f64 e (.f64 e e)))
(/.f64 1 (/.f64 1 (*.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 (/.f64 e (+.f64 e 1)) v)
(*.f64 e (/.f64 (/.f64 (neg.f64 v) e) e))
(/.f64 e (/.f64 e (-.f64 v (/.f64 v e))))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) e) v))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) v) e))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(/.f64 1 (/.f64 e (*.f64 e (-.f64 v (/.f64 v e)))))
(/.f64 1 (/.f64 (+.f64 1 e) (/.f64 v (/.f64 1 e))))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
(.f64 (.f64 v e) (+.f64 (*.f64 e e) (-.f64 1 e)))
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) 1))
(*.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (/.f64 v (+.f64 (/.f64 1 e) 1)) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1))))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 1 e) (cos.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e 1 1)))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) (+.f64 (/.f64 1 e) (cos.f64 v)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (.f64 v e)) (+.f64 1 (.f64 e (cos.f64 v))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 (/.f64 1 e) 1))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (/.f64 1 e) 1) (+.f64 1 (/.f64 1 e))))) (.f64 1/6 (/.f64 1 (+.f64 1 (/.f64 1 e))))) (+.f64 (/.f64 1 e) 1))) (.f64 1/24 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1))))))) (+.f64 (/.f64 v (+.f64 (/.f64 1 e) 1)) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (/.f64 1 e)) (+.f64 (/.f64 1 e) 1)))) (.f64 1/6 (/.f64 1 (+.f64 (/.f64 1 e) 1)))))))
(*.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) e)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 v)) 2) e)
(.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(pow.f64 (/.f64 (+.f64 (/.f64 1 e) (cos.f64 v)) (sin.f64 v)) -1)
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e)))
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
(*.f64 e (/.f64 (+.f64 (+.f64 (sin.f64 v) -1) 1) (fma.f64 e (cos.f64 v) 1)))
(*.f64 e (/.f64 (-.f64 (+.f64 1 (sin.f64 v)) 1) (fma.f64 e (cos.f64 v) 1)))
(/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (.f64 v e))) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (pow.f64 (sqrt.f64 (.f64 e (sin.f64 v))) 2) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 e (sin.f64 v))) 3) (+.f64 1 (.f64 e (cos.f64 v))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(*.f64 (log1p.f64 (pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 v))) 2)) e)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (.f64 (cbrt.f64 (sin.f64 v)) e))
(*.f64 e (/.f64 (log1p.f64 (expm1.f64 (sin.f64 v))) (fma.f64 e (cos.f64 v) 1)))
(*.f64 e (/.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 v)))) (fma.f64 e (cos.f64 v) 1)))

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

Calls

3 calls:

38.0ms	e
32.0ms	v
25.0ms	(/.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 759 to 430 computations (43.3% saved)

regimes84.0ms (1.2%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

2 calls:

34.0ms	v
33.0ms	e

Results

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

Compiler

Compiled 330 to 182 computations (44.8% saved)

regimes50.0ms (0.7%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	e
20.0ms	v

Results

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

Compiler

Compiled 312 to 172 computations (44.9% saved)

regimes42.0ms (0.6%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	v
16.0ms	e

Results

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

Compiler

Compiled 256 to 131 computations (48.8% saved)

regimes38.0ms (0.5%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	v
15.0ms	e

Results

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

Compiler

Compiled 240 to 121 computations (49.6% saved)

regimes37.0ms (0.5%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	e
15.0ms	v

Results

Error	Segments	Branch
28.0b	1	`e`
28.0b	1	`v`

Compiler

Compiled 224 to 113 computations (49.6% saved)

regimes19.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	e
7.0ms	v

Results

Error	Segments	Branch
28.0b	1	`e`
28.0b	1	`v`

Compiler

Compiled 82 to 36 computations (56.1% saved)

regimes17.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	e
7.0ms	v

Results

Error	Segments	Branch
28.0b	1	`e`
28.0b	1	`v`

Compiler

Compiled 75 to 32 computations (57.3% saved)

regimes14.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	v
5.0ms	e

Results

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

Compiler

Compiled 40 to 19 computations (52.5% saved)

regimes12.0ms (0.2%)

Accuracy

Total -34.4b remaining (-121.4%)

Threshold costs -34.4b (-121.4%)

Counts

5 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(-.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
28.4b	1	`e`
28.4b	1	`v`

Compiler

Compiled 26 to 11 computations (57.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	106
1	42	106
2	49	106
3	53	106
4	55	106

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 94 to 65 computations (30.9% saved)

soundness0.0ms (0%)

end63.0ms (0.9%)

Compiler: Compiled 74 to 37 computations (50% saved)