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 (36.5%)

Results

1.2s	2060×	body	1024	valid
1.0s	5133×	body	256	valid
402.0ms	1058×	body	512	valid
4.0ms	5×	body	2048	valid

preprocess17.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 12 computations (64.7% saved)

series13.0ms (0.2%)

Counts

4 → 76

Calls

21 calls:

Time	Variable		Expression
1.0ms	v	@	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
1.0ms	v	@	(*.f64 e (sin.f64 v))
1.0ms	e	@	(*.f64 e (cos.f64 v))
1.0ms	v	@	(*.f64 e (cos.f64 v))
1.0ms	e	@	(*.f64 e (sin.f64 v))

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	207	30
2	2831	30

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

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

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

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
740×	`fma-def_binary64`
518×	`associate-l_binary64`
475×	`associate-r_binary64`
347×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1421
1	379	1366
2	1208	1328
3	5514	1271

Stop Event

1×	node limit

Counts

205 → 176

Calls

Call 1

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

eval56.0ms (0.8%)

Compiler: Compiled 3456 to 1822 computations (47.3% saved)

prune37.0ms (0.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	161	15	176
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	161	16	177

Error

0.0b

Counts

177 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
	0.8b	(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
	0.3b	(/.f64 (.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 (.f64 e (cos.f64 v))))
	27.0b	(/.f64 (exp.f64 (log.f64 (.f64 e (sin.f64 v)))) (+.f64 1 (.f64 e (cos.f64 v))))
▶	0.2b	(/.f64 (.f64 e (expm1.f64 (log1p.f64 (sin.f64 v)))) (+.f64 1 (.f64 e (cos.f64 v))))
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
▶	5.1b	(/.f64 (.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 (.f64 e (cos.f64 v))))
	12.7b	(/.f64 (.f64 e (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 v)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 v)))))) (+.f64 1 (.f64 e (cos.f64 v))))
▶	0.2b	(*.f64 e (/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))
	25.0b	(/.f64 (pow.f64 (sqrt.f64 (.f64 e (sin.f64 v))) 2) (+.f64 1 (.f64 e (cos.f64 v))))
	1.1b	(/.f64 (pow.f64 (cbrt.f64 (.f64 e (sin.f64 v))) 3) (+.f64 1 (.f64 e (cos.f64 v))))
▶	33.4b	(*.f64 e (/.f64 v (+.f64 e 1)))
	33.4b	(/.f64 (*.f64 v e) (+.f64 1 e))
	33.4b	(/.f64 (cbrt.f64 (pow.f64 (.f64 e (sin.f64 v)) 3)) (+.f64 1 (.f64 e (cos.f64 v))))
▶	12.4b	(/.f64 (.f64 e (log.f64 (exp.f64 (sin.f64 v)))) (+.f64 1 (.f64 e (cos.f64 v))))
	1.1b	(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)

Compiler

Compiled 453 to 321 computations (29.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 14 computations (68.9% saved)

series46.0ms (0.6%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	v	@	inf	(log1p.f64 (sin.f64 v))
18.0ms	v	@	-inf	(log1p.f64 (sin.f64 v))
1.0ms	v	@	0	(log1p.f64 (sin.f64 v))
0.0ms	v	@	0	(expm1.f64 (log1p.f64 (sin.f64 v)))
0.0ms	v	@	-inf	(expm1.f64 (log1p.f64 (sin.f64 v)))

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	117	14
2	1354	14

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

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

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

Outputs

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

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

simplify149.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

959×	`fma-def_binary64`
892×	`distribute-lft-out_binary64`
570×	`sqr-pow_binary64`
462×	`associate-l_binary64`
311×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	388
1	136	352
2	355	338
3	1124	328
4	3215	328
5	4357	328
6	5895	328
7	6157	328
8	6447	328
9	6728	328
10	7154	328
11	7681	328

Stop Event

1×	node limit

Counts

93 → 67

Calls

Call 1

Inputs
v
(+.f64 v (*.f64 -1/2 (pow.f64 v 2)))
(+.f64 (.f64 1/6 (pow.f64 v 3)) (+.f64 v (.f64 -1/2 (pow.f64 v 2))))
(+.f64 (.f64 1/6 (pow.f64 v 3)) (+.f64 v (+.f64 (.f64 -1/2 (pow.f64 v 2)) (*.f64 -1/12 (pow.f64 v 4)))))
(log.f64 (+.f64 (sin.f64 v) 1))
(log.f64 (+.f64 (sin.f64 v) 1))
(log.f64 (+.f64 (sin.f64 v) 1))
(log.f64 (+.f64 (sin.f64 v) 1))
(log.f64 (+.f64 (sin.f64 v) 1))
(log.f64 (+.f64 (sin.f64 v) 1))
(log.f64 (+.f64 (sin.f64 v) 1))
(log.f64 (+.f64 (sin.f64 v) 1))
v
(+.f64 v (*.f64 -1/6 (pow.f64 v 3)))
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (.f64 1/120 (pow.f64 v 5))))
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (+.f64 (.f64 -1/5040 (pow.f64 v 7)) (*.f64 1/120 (pow.f64 v 5)))))
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)

Outputs
v
(+.f64 v (*.f64 -1/2 (pow.f64 v 2)))
(+.f64 v (.f64 -1/2 (.f64 v v)))
(fma.f64 -1/2 (*.f64 v v) v)
(fma.f64 v (*.f64 v -1/2) v)
(*.f64 v (fma.f64 v -1/2 1))
(+.f64 (.f64 1/6 (pow.f64 v 3)) (+.f64 v (.f64 -1/2 (pow.f64 v 2))))
(fma.f64 1/6 (pow.f64 v 3) (+.f64 v (.f64 -1/2 (.f64 v v))))
(fma.f64 1/6 (pow.f64 v 3) (fma.f64 -1/2 (*.f64 v v) v))
(fma.f64 v (*.f64 v -1/2) (fma.f64 1/6 (pow.f64 v 3) v))
(fma.f64 v (*.f64 v (fma.f64 v 1/6 -1/2)) v)
(fma.f64 (*.f64 v v) (fma.f64 v 1/6 -1/2) v)
(+.f64 (.f64 1/6 (pow.f64 v 3)) (+.f64 v (+.f64 (.f64 -1/2 (pow.f64 v 2)) (*.f64 -1/12 (pow.f64 v 4)))))
(fma.f64 1/6 (pow.f64 v 3) (+.f64 v (fma.f64 -1/2 (.f64 v v) (.f64 -1/12 (pow.f64 v 4)))))
(+.f64 (fma.f64 1/6 (pow.f64 v 3) (fma.f64 -1/2 (.f64 v v) v)) (.f64 -1/12 (pow.f64 v 4)))
(fma.f64 1/6 (pow.f64 v 3) (fma.f64 v (*.f64 v -1/2) (fma.f64 -1/12 (pow.f64 v 4) v)))
(fma.f64 (*.f64 v v) (fma.f64 v 1/6 -1/2) (fma.f64 -1/12 (pow.f64 v 4) v))
(log.f64 (+.f64 (sin.f64 v) 1))
(log1p.f64 (sin.f64 v))
(log.f64 (+.f64 (sin.f64 v) 1))
(log1p.f64 (sin.f64 v))
(log.f64 (+.f64 (sin.f64 v) 1))
(log1p.f64 (sin.f64 v))
(log.f64 (+.f64 (sin.f64 v) 1))
(log1p.f64 (sin.f64 v))
(log.f64 (+.f64 (sin.f64 v) 1))
(log1p.f64 (sin.f64 v))
(log.f64 (+.f64 (sin.f64 v) 1))
(log1p.f64 (sin.f64 v))
(log.f64 (+.f64 (sin.f64 v) 1))
(log1p.f64 (sin.f64 v))
(log.f64 (+.f64 (sin.f64 v) 1))
(log1p.f64 (sin.f64 v))
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 1/120 (pow.f64 v 5))))
(+.f64 (fma.f64 (pow.f64 v 3) -1/6 v) (*.f64 1/120 (pow.f64 v 5)))
(fma.f64 (pow.f64 v 3) -1/6 (fma.f64 1/120 (pow.f64 v 5) v))
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (+.f64 (.f64 -1/5040 (pow.f64 v 7)) (*.f64 1/120 (pow.f64 v 5)))))
(+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 1/120 (pow.f64 v 5)))))
(+.f64 (fma.f64 (pow.f64 v 3) -1/6 v) (fma.f64 1/120 (pow.f64 v 5) (*.f64 -1/5040 (pow.f64 v 7))))
(+.f64 v (fma.f64 (pow.f64 v 3) -1/6 (fma.f64 1/120 (pow.f64 v 5) (*.f64 -1/5040 (pow.f64 v 7)))))
(fma.f64 (pow.f64 v 3) -1/6 (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v)))
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (.f64 (pow.f64 v 3) e) (.f64 v e))
(*.f64 e (fma.f64 (pow.f64 v 3) -1/6 v))
(*.f64 (fma.f64 (pow.f64 v 3) -1/6 v) e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (.f64 (pow.f64 v 3) e) (fma.f64 1/120 (.f64 (pow.f64 v 5) e) (*.f64 v e)))
(+.f64 (.f64 e (fma.f64 (pow.f64 v 3) -1/6 v)) (.f64 (pow.f64 v 5) (*.f64 1/120 e)))
(*.f64 e (fma.f64 (pow.f64 v 3) -1/6 (fma.f64 1/120 (pow.f64 v 5) v)))
(*.f64 (fma.f64 (pow.f64 v 3) -1/6 (fma.f64 1/120 (pow.f64 v 5) v)) e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (.f64 (pow.f64 v 3) e) (fma.f64 1/120 (.f64 (pow.f64 v 5) e) (fma.f64 v e (.f64 -1/5040 (.f64 (pow.f64 v 7) e)))))
(+.f64 (.f64 e (+.f64 v (.f64 -1/5040 (pow.f64 v 7)))) (.f64 e (fma.f64 (pow.f64 v 3) -1/6 (.f64 1/120 (pow.f64 v 5)))))
(.f64 e (+.f64 v (fma.f64 (pow.f64 v 3) -1/6 (fma.f64 1/120 (pow.f64 v 5) (.f64 -1/5040 (pow.f64 v 7))))))
(*.f64 e (fma.f64 (pow.f64 v 3) -1/6 (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

103 → 85

Calls

Call 1

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

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

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 21 computations (52.3% saved)

series16.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite76.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	207	39
2	2686	39

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

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

Outputs

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

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

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

simplify100.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

774×	`associate-r_binary64`
384×	`associate-+l+_binary64`
318×	`*-commutative_binary64`
313×	`associate-+r+_binary64`
269×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2437
1	581	2323
2	2028	2295

Stop Event

1×	node limit

Counts

229 → 221

Calls

Call 1

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

Outputs
(sin.f64 v)
(+.f64 (sin.f64 v) (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (neg.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) e))))
(-.f64 (sin.f64 v) (.f64 (sin.f64 v) (.f64 (cos.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (fma.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)) (neg.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) e)))))
(-.f64 (.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)) 1) (sin.f64 v)) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))
(.f64 (sin.f64 v) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)) 1) (.f64 (cos.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) e))))))
(+.f64 (sin.f64 v) (fma.f64 -1 (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (fma.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)) (neg.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) e))))))
(+.f64 (sin.f64 v) (-.f64 (fma.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)) (.f64 (sin.f64 v) (neg.f64 (.f64 (cos.f64 v) e)))) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(-.f64 (.f64 (sin.f64 v) (-.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)) 1) (.f64 (cos.f64 v) e))) (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (neg.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))))
(-.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (fma.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)))))
(-.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (fma.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e))) (fma.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)))) (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))))
(-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e))) (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (neg.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))))
(-.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (fma.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)))))
(-.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (fma.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e))) (fma.f64 -1 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e)))) (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))))
(-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 e e))) (/.f64 (sin.f64 v) (.f64 (cos.f64 v) e))))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))
(fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))) (/.f64 v (+.f64 e 1)))
(-.f64 (/.f64 v (+.f64 e 1)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))))
(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (+.f64 e 1) e)) (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24))) (fma.f64 -1 (.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))) (/.f64 v (+.f64 e 1))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/2 (/.f64 e (/.f64 (+.f64 e 1) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))))) (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) 1/24)))) (-.f64 (/.f64 v (+.f64 e 1)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2)))) (-.f64 (/.f64 v (+.f64 e 1)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))))))
(+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 v 7) (+.f64 (.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (.f64 -1/24 (/.f64 (.f64 (+.f64 (.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e)))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (+.f64 e 1) e)) (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24))) (fma.f64 -1 (.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))) (fma.f64 -1 (.f64 (pow.f64 v 7) (fma.f64 -1/720 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (+.f64 e 1) e)) (.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24))) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (+.f64 e 1) e)) (/.f64 1/5040 (+.f64 e 1)))))) (/.f64 v (+.f64 e 1)))))
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(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (fma.f64 (pow.f64 v 5) (+.f64 (fma.f64 1/120 (/.f64 e (+.f64 e 1)) (/.f64 (.f64 -1/24 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 1/2 (/.f64 (+.f64 e 1) (.f64 e (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))))))) (.f64 e (/.f64 v (+.f64 e 1)))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (.f64 v e) (+.f64 1 e)) (+.f64 (.f64 (pow.f64 v 7) (-.f64 (.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 e (+.f64 1 e))) (.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 1/2 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (.f64 v e) (+.f64 e 1))) (fma.f64 (pow.f64 v 7) (-.f64 (/.f64 (.f64 -1/5040 e) (+.f64 e 1)) (fma.f64 1/24 (/.f64 (+.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 1/2 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 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 1/2 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (+.f64 e 1) e))))) (/.f64 (+.f64 e 1) e)) (.f64 -1/720 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)))))) (.f64 (pow.f64 v 5) (-.f64 (.f64 1/120 (/.f64 e (+.f64 e 1))) (fma.f64 1/24 (/.f64 (.f64 e e) (pow.f64 (+.f64 e 1) 2)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/6 (/.f64 e (+.f64 e 1))) (.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (+.f64 e 1) e))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (.f64 1/2 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (.f64 (/.f64 v (+.f64 e 1)) e)) (fma.f64 (pow.f64 v 7) (-.f64 (/.f64 (.f64 e -1/5040) (+.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 (.f64 e 1/120) (+.f64 e 1)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (.f64 1/2 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (+.f64 e 1)) e) (/.f64 (.f64 (.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))) (+.f64 e 1)) e) (/.f64 (.f64 (.f64 e e) -1/720) (pow.f64 (+.f64 e 1) 2))))) (.f64 (pow.f64 v 5) (-.f64 (/.f64 (.f64 e 1/120) (+.f64 e 1)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (.f64 1/2 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (+.f64 e 1)) e) (/.f64 (.f64 (*.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))))))
(+.f64 (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (.f64 e (/.f64 v (+.f64 e 1)))) (fma.f64 (pow.f64 v 7) (-.f64 (fma.f64 (/.f64 e (+.f64 e 1)) -1/5040 (.f64 -1/24 (.f64 e (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))) (+.f64 e 1))))) (fma.f64 -1/2 (.f64 e (/.f64 (+.f64 (fma.f64 1/120 (/.f64 e (+.f64 e 1)) (/.f64 (.f64 -1/24 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 1/2 (/.f64 (+.f64 e 1) (.f64 e (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (.f64 e e)))))))) (+.f64 e 1))) (.f64 (/.f64 -1/720 (pow.f64 (+.f64 e 1) 2)) (.f64 e e)))) (.f64 (pow.f64 v 5) (+.f64 (fma.f64 1/120 (/.f64 e (+.f64 e 1)) (/.f64 (.f64 -1/24 (.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 1/2 (/.f64 (+.f64 e 1) (.f64 e (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 1/2 (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e e)))))))))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
(/.f64 1 (sin.f64 v))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))
(*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))
(*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))
(fma.f64 (-.f64 (.f64 e -1/2) (.f64 (+.f64 e 1) -1/6)) v (+.f64 (/.f64 e v) (/.f64 1 v)))
(fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (*.f64 1/6 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))
(fma.f64 v (+.f64 (fma.f64 e -1/2 1/6) (*.f64 e 1/6)) (+.f64 (/.f64 e v) (/.f64 1 v)))
(+.f64 (.f64 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/24 e) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e)))) (*.f64 1/120 (+.f64 1 e))))))))
(fma.f64 (-.f64 (.f64 e -1/2) (.f64 (+.f64 e 1) -1/6)) v (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (.f64 (pow.f64 v 3) (-.f64 (.f64 e 1/24) (fma.f64 -1/6 (-.f64 (.f64 e -1/2) (.f64 (+.f64 e 1) -1/6)) (+.f64 1/120 (*.f64 e 1/120))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (.f64 e 1/24) (fma.f64 (+.f64 e 1) 1/120 (.f64 -1/6 (fma.f64 e -1/2 (+.f64 1/6 (.f64 1/6 e)))))) (/.f64 1 v)) (fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (.f64 1/6 e))) (/.f64 e v)))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (.f64 e 1/24) (fma.f64 (+.f64 e 1) 1/120 (+.f64 (.f64 1/12 e) (.f64 -1/36 (+.f64 e 1))))) (/.f64 1 v)) (fma.f64 v (+.f64 (fma.f64 e -1/2 1/6) (.f64 e 1/6)) (/.f64 e v)))
(+.f64 (.f64 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (+.f64 (.f64 (pow.f64 v 5) (-.f64 (.f64 -1/720 e) (+.f64 (.f64 -1/5040 (+.f64 1 e)) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 e) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e)))) (.f64 1/120 (+.f64 1 e))))) (.f64 1/120 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e)))))))) (.f64 (pow.f64 v 3) (-.f64 (.f64 1/24 e) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e)))) (*.f64 1/120 (+.f64 1 e)))))))))
(fma.f64 (-.f64 (.f64 e -1/2) (.f64 (+.f64 e 1) -1/6)) v (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (fma.f64 (pow.f64 v 5) (-.f64 (.f64 e -1/720) (fma.f64 -1/5040 (+.f64 e 1) (fma.f64 -1/6 (-.f64 (.f64 e 1/24) (fma.f64 -1/6 (-.f64 (.f64 e -1/2) (.f64 (+.f64 e 1) -1/6)) (+.f64 1/120 (.f64 e 1/120)))) (.f64 1/120 (-.f64 (.f64 e -1/2) (.f64 (+.f64 e 1) -1/6)))))) (.f64 (pow.f64 v 3) (-.f64 (.f64 e 1/24) (fma.f64 -1/6 (-.f64 (.f64 e -1/2) (.f64 (+.f64 e 1) -1/6)) (+.f64 1/120 (*.f64 e 1/120)))))))))
(+.f64 (fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (.f64 1/6 e))) (+.f64 (/.f64 e v) (/.f64 1 v))) (fma.f64 (pow.f64 v 5) (-.f64 (.f64 e -1/720) (fma.f64 (+.f64 e 1) -1/5040 (fma.f64 1/120 (fma.f64 e -1/2 (+.f64 1/6 (.f64 1/6 e))) (.f64 -1/6 (-.f64 (.f64 e 1/24) (fma.f64 (+.f64 e 1) 1/120 (.f64 -1/6 (fma.f64 e -1/2 (+.f64 1/6 (.f64 1/6 e)))))))))) (.f64 (pow.f64 v 3) (-.f64 (.f64 e 1/24) (fma.f64 (+.f64 e 1) 1/120 (.f64 -1/6 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 1/6 e)))))))))
(+.f64 (/.f64 1 v) (+.f64 (fma.f64 (pow.f64 v 5) (-.f64 (-.f64 (fma.f64 e -1/720 1/5040) (.f64 e -1/5040)) (fma.f64 -1/6 (-.f64 (.f64 e 1/24) (fma.f64 (+.f64 e 1) 1/120 (+.f64 (.f64 1/12 e) (.f64 -1/36 (+.f64 e 1))))) (+.f64 (.f64 -1/240 e) (.f64 1/720 (+.f64 e 1))))) (.f64 (pow.f64 v 3) (-.f64 (.f64 e 1/24) (fma.f64 (+.f64 e 1) 1/120 (+.f64 (.f64 1/12 e) (.f64 -1/36 (+.f64 e 1))))))) (fma.f64 v (+.f64 (fma.f64 e -1/2 1/6) (*.f64 e 1/6)) (/.f64 e v))))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))

localize34.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (sin.f64 v))
✓	0.1b	(*.f64 e (log.f64 (exp.f64 (sin.f64 v))))
	0.2b	(*.f64 e (cos.f64 v))
✓	2.5b	(log.f64 (exp.f64 (sin.f64 v)))

Compiler

Compiled 45 to 14 computations (68.9% saved)

series6.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

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

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	119	14
2	1330	14

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

Outputs

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

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

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

simplify222.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

838×	`fma-def_binary64`
730×	`sqr-pow_binary64`
510×	`*-commutative_binary64`
492×	`cube-prod_binary64`
395×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	310
1	129	300
2	329	286
3	1001	278
4	2732	278
5	3658	278
6	3855	278
7	4089	278
8	4363	278
9	4675	278
10	5099	278
11	5652	278
12	6229	278
13	6947	278
14	7275	278
15	7619	278
16	7911	278

Stop Event

1×	node limit

Counts

89 → 70

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3)))
	0.2b	(*.f64 e (cos.f64 v))
✓	0.3b	(pow.f64 (sin.f64 v) 3)
✓	18.2b	(cbrt.f64 (pow.f64 (sin.f64 v) 3))

Compiler

Compiled 50 to 25 computations (50% saved)

series6.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(cbrt.f64 (pow.f64 (sin.f64 v) 3))
1.0ms	v	@	inf	(pow.f64 (sin.f64 v) 3)
1.0ms	v	@	-inf	(pow.f64 (sin.f64 v) 3)
0.0ms	v	@	0	(pow.f64 (sin.f64 v) 3)
0.0ms	v	@	-inf	(cbrt.f64 (pow.f64 (sin.f64 v) 3))

rewrite53.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`pow1_binary64`
590×	`add-log-exp_binary64`
590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
575×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	166	15
2	1653	15

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

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

Outputs

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

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

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

simplify140.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1503×	`fma-def_binary64`
748×	`sqr-pow_binary64`
514×	`cube-prod_binary64`
400×	`unswap-sqr_binary64`
379×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	330
1	131	322
2	345	310
3	986	306
4	2255	306
5	2489	306
6	2762	306
7	3355	306
8	3484	306
9	3667	306
10	4614	306
11	5011	306
12	5610	306
13	6423	306
14	7446	306

Stop Event

1×	node limit

Counts

90 → 72

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)
(pow.f64 v 3)
(+.f64 (*.f64 -1/2 (pow.f64 v 5)) (pow.f64 v 3))
(+.f64 (.f64 -1/2 (pow.f64 v 5)) (+.f64 (.f64 13/120 (pow.f64 v 7)) (pow.f64 v 3)))
(+.f64 (.f64 -1/2 (pow.f64 v 5)) (+.f64 (.f64 -41/3024 (pow.f64 v 9)) (+.f64 (*.f64 13/120 (pow.f64 v 7)) (pow.f64 v 3))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)

Outputs
v
(+.f64 v (*.f64 -1/6 (pow.f64 v 3)))
(fma.f64 -1/6 (pow.f64 v 3) v)
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (.f64 1/120 (pow.f64 v 5))))
(+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 v 3) v) (*.f64 1/120 (pow.f64 v 5)))
(fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v))
(+.f64 v (+.f64 (.f64 -1/6 (pow.f64 v 3)) (+.f64 (.f64 -1/5040 (pow.f64 v 7)) (*.f64 1/120 (pow.f64 v 5)))))
(+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 1/120 (pow.f64 v 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 v 3) v) (fma.f64 1/120 (pow.f64 v 5) (*.f64 -1/5040 (pow.f64 v 7))))
(fma.f64 -1/6 (pow.f64 v 3) (+.f64 v (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 1/120 (pow.f64 v 5)))))
(fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v)))
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(pow.f64 v 3)
(+.f64 (*.f64 -1/2 (pow.f64 v 5)) (pow.f64 v 3))
(fma.f64 -1/2 (pow.f64 v 5) (pow.f64 v 3))
(fma.f64 (pow.f64 v 5) -1/2 (pow.f64 v 3))
(+.f64 (.f64 -1/2 (pow.f64 v 5)) (+.f64 (.f64 13/120 (pow.f64 v 7)) (pow.f64 v 3)))
(fma.f64 -1/2 (pow.f64 v 5) (fma.f64 13/120 (pow.f64 v 7) (pow.f64 v 3)))
(fma.f64 (pow.f64 v 5) -1/2 (fma.f64 (pow.f64 v 7) 13/120 (pow.f64 v 3)))
(+.f64 (.f64 -1/2 (pow.f64 v 5)) (+.f64 (.f64 -41/3024 (pow.f64 v 9)) (+.f64 (*.f64 13/120 (pow.f64 v 7)) (pow.f64 v 3))))
(fma.f64 -1/2 (pow.f64 v 5) (fma.f64 -41/3024 (pow.f64 v 9) (fma.f64 13/120 (pow.f64 v 7) (pow.f64 v 3))))
(fma.f64 (pow.f64 v 5) -1/2 (fma.f64 -41/3024 (pow.f64 v 9) (fma.f64 (pow.f64 v 7) 13/120 (pow.f64 v 3))))
(fma.f64 (pow.f64 v 5) -1/2 (fma.f64 (pow.f64 v 7) 13/120 (fma.f64 -41/3024 (pow.f64 v 9) (pow.f64 v 3))))
(fma.f64 (pow.f64 v 7) 13/120 (fma.f64 -41/3024 (pow.f64 v 9) (fma.f64 (pow.f64 v 5) -1/2 (pow.f64 v 3))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (.f64 (pow.f64 v 3) e) (.f64 v e))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(*.f64 (fma.f64 -1/6 (pow.f64 v 3) v) e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (.f64 (pow.f64 v 3) e) (fma.f64 1/120 (.f64 (pow.f64 v 5) e) (*.f64 v e)))
(+.f64 (.f64 e (fma.f64 -1/6 (pow.f64 v 3) v)) (.f64 1/120 (*.f64 (pow.f64 v 5) e)))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v)))
(*.f64 (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v)) e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (.f64 (pow.f64 v 3) e) (fma.f64 1/120 (.f64 (pow.f64 v 5) e) (fma.f64 v e (.f64 -1/5040 (.f64 (pow.f64 v 7) e)))))
(+.f64 (.f64 e (+.f64 v (.f64 -1/5040 (pow.f64 v 7)))) (.f64 e (fma.f64 -1/6 (pow.f64 v 3) (.f64 1/120 (pow.f64 v 5)))))
(.f64 e (fma.f64 -1/6 (pow.f64 v 3) (+.f64 v (fma.f64 -1/5040 (pow.f64 v 7) (.f64 1/120 (pow.f64 v 5))))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)

eval210.0ms (2.9%)

Compiler: Compiled 12188 to 6585 computations (46% saved)

prune116.0ms (1.6%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	632	24	656
Fresh	9	1	10
Picked	0	1	1
Done	4	1	5
Total	645	27	672

Error

Counts

672 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
▶	0.3b	(/.f64 (.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 (.f64 e (cos.f64 v))))
	25.0b	(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 v) e)) 2) (+.f64 1 (.f64 e (cos.f64 v))))
	0.9b	(*.f64 e (pow.f64 (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) -3))
	1.5b	(*.f64 e (/.f64 1 (/.f64 1 (sin.f64 v))))
	27.0b	(/.f64 (exp.f64 (log.f64 (.f64 (sin.f64 v) e))) (+.f64 1 (.f64 e (cos.f64 v))))
	1.1b	(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 v) e)) 3) (+.f64 1 (.f64 e (cos.f64 v))))
▶	33.4b	(/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 v) e) 3)) (+.f64 1 (.f64 e (cos.f64 v))))
	34.2b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
	33.6b	(.f64 v (.f64 (-.f64 1 e) e))
	12.4b	(/.f64 (.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1)) (+.f64 1 (.f64 e (cos.f64 v))))
	33.4b	(/.f64 e (/.f64 (+.f64 e 1) v))
▶	45.7b	(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
▶	33.9b	(*.f64 v e)
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	32.8b	(.f64 e (/.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))))
	1.4b	(*.f64 (sin.f64 v) e)
	0.5b	(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e)))
	1.0b	(/.f64 (.f64 e (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 v))) 3))) (+.f64 1 (.f64 e (cos.f64 v))))
▶	0.3b	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
	5.8b	(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 e))
	62.8b	(-.f64 v (/.f64 v e))
	1.1b	(/.f64 1 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e))
	1.0b	(/.f64 (*.f64 e (expm1.f64 (log1p.f64 (sin.f64 v)))) (+.f64 1 e))
✓	5.1b	(/.f64 (.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 (.f64 e (cos.f64 v))))
	13.2b	(/.f64 (*.f64 e (log.f64 (exp.f64 (sin.f64 v)))) (+.f64 1 e))
	63.1b	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))

Compiler

Compiled 675 to 485 computations (28.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 45 to 14 computations (68.9% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite51.0ms (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	14
1	119	14
2	1356	14

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

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

Outputs

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

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

simplify177.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

880×	`fma-def_binary64`
730×	`sqr-pow_binary64`
530×	`*-commutative_binary64`
436×	`cube-prod_binary64`
419×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	364
1	135	354
2	341	338
3	1033	334
4	2884	334
5	3837	334
6	4034	334
7	4267	334
8	4541	334
9	4853	334
10	5277	334
11	5830	334
12	6408	334
13	7122	334
14	7448	334
15	7794	334

Stop Event

1×	node limit

Counts

93 → 67

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

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

localize3.0ms (0%)

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1))))
	0.0b	(*.f64 e (/.f64 v (+.f64 e 1)))
	0.0b	(/.f64 v (+.f64 e 1))
✓	2.9b	(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)

Compiler

Compiled 40 to 26 computations (35% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite77.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`prod-diff_binary64`
540×	`fma-def_binary64`
476×	`log-prod_binary64`
254×	`pow2_binary64`
251×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	211	21
2	3208	21

Stop Event

1×	node limit

Counts

2 → 173

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 e (/.f64 v (+.f64 1 e)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 e v) (+.f64 1 e)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 e v) (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 e (/.f64 v (+.f64 1 e)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 e v) (+.f64 1 e)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 e v) (+.f64 1 e))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 e v) (+.f64 1 e))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 e v) (+.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 e (/.f64 v (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 v (*.f64 (/.f64 1 (+.f64 1 e)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (+.f64 1 e)) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 e v) (+.f64 1 e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) 2) (*.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 e v) (+.f64 1 e))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 e v) (+.f64 1 e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 e v) (+.f64 1 e))) 2) (cbrt.f64 (/.f64 (*.f64 e v) (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 v (+.f64 1 e))) (*.f64 (sqrt.f64 (/.f64 v (+.f64 1 e))) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 e v) (+.f64 1 e))) (sqrt.f64 (/.f64 (*.f64 e v) (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (*.f64 e v) (+.f64 1 e))))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) 1) 2) (fma.f64 e (/.f64 v (+.f64 1 e)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (*.f64 e v) (+.f64 1 e))))) (/.f64 1 (fma.f64 e (/.f64 v (+.f64 1 e)) 2)))))) (#(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 1) (/.f64 v (+.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 e (hypot.f64 1 (sqrt.f64 e))) (/.f64 v (hypot.f64 1 (sqrt.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 e v) (+.f64 1 (pow.f64 e 3))) (-.f64 (fma.f64 e e 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 e (pow.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) 2)) (cbrt.f64 (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sqrt.f64 (/.f64 v (+.f64 1 e)))) (sqrt.f64 (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 v (+.f64 1 e)) (pow.f64 (cbrt.f64 e) 2)) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 v (+.f64 1 e)) (sqrt.f64 e)) (sqrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) 1) 2) (fma.f64 e (/.f64 v (+.f64 1 e)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (*.f64 e v) (+.f64 1 e)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (*.f64 e v) (+.f64 1 e)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 e) (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 e (/.f64 (+.f64 1 e) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (*.f64 e v) (+.f64 1 e))))) (+.f64 (pow.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) 1) 2) (fma.f64 e (/.f64 v (+.f64 1 e)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (*.f64 e v) (+.f64 1 e))))) (+.f64 (pow.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) 1) 2) (-.f64 1 (*.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (*.f64 e v) (+.f64 1 e))))) (fma.f64 e (/.f64 v (+.f64 1 e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e v) (+.f64 1 e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (*.f64 e v) (+.f64 1 e)))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) 1) 2) (fma.f64 e (/.f64 v (+.f64 1 e)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (*.f64 e v) (+.f64 1 e)))))) (neg.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) 2)))))) (#(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 1 (pow.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) -1) 2) (fma.f64 e (/.f64 v (+.f64 1 e)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 e (/.f64 v (+.f64 1 e)) -1) 2)) (-.f64 1 (fma.f64 e (/.f64 v (+.f64 1 e)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e v) 1) (+.f64 1 e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e v) (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (cbrt.f64 (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e v) (hypot.f64 1 (sqrt.f64 e))) (hypot.f64 1 (sqrt.f64 e)))))) (#(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 (*.f64 e v) (+.f64 1 e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 e v) (+.f64 1 e)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 e v) (+.f64 1 e))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 e v) (+.f64 1 e))) 2)))) (#(struct:change #<rule 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simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

509×	`sub-neg_binary64`
463×	`times-frac_binary64`
375×	`distribute-rgt-neg-in_binary64`
361×	`fma-neg_binary64`
334×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	614
1	128	587
2	350	555
3	1297	535
4	4553	520

Stop Event

1×	node limit

Counts

221 → 206

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 14 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	989
1	276	942
2	885	922
3	4246	860

Stop Event

1×	node limit

Counts

88 → 87

Calls

Call 1

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

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

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 v) e)
✓	0.1b	(pow.f64 (*.f64 (sin.f64 v) e) 3)
	0.2b	(*.f64 e (cos.f64 v))
✓	33.4b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3))

Compiler

Compiled 51 to 21 computations (58.8% saved)

series10.0ms (0.1%)

Counts

3 → 52

Calls

18 calls:

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

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`pow1_binary64`
603×	`add-log-exp_binary64`
603×	`log1p-expm1-u_binary64`
603×	`expm1-log1p-u_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	168	21
2	1728	21

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

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

simplify159.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1159×	`distribute-rgt-in_binary64`
674×	`distribute-rgt-out_binary64`
650×	`fma-def_binary64`
457×	`associate-l_binary64`
419×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	708
1	232	692
2	852	634
3	4295	630
4	6606	627
5	6732	627
6	6869	627
7	7023	627
8	7211	627
9	7401	627

Stop Event

1×	node limit

Counts

117 → 72

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 -1 (.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(*.f64 (pow.f64 v 3) (pow.f64 e 3))
(+.f64 (.f64 (pow.f64 v 3) (pow.f64 e 3)) (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/3 (pow.f64 e 3)) (.f64 -1/6 (pow.f64 e 3)))))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 e 2)) (.f64 1/60 (pow.f64 e 2))) e) (+.f64 (.f64 1/120 (pow.f64 e 3)) (.f64 1/18 (pow.f64 e 3)))) (pow.f64 v 7)) (+.f64 (.f64 (pow.f64 v 3) (pow.f64 e 3)) (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/3 (pow.f64 e 3)) (.f64 -1/6 (pow.f64 e 3))))))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 e 2)) (.f64 1/60 (pow.f64 e 2))) e) (+.f64 (.f64 1/120 (pow.f64 e 3)) (.f64 1/18 (pow.f64 e 3)))) (pow.f64 v 7)) (+.f64 (.f64 (pow.f64 v 9) (+.f64 (.f64 e (+.f64 (.f64 -1/2520 (pow.f64 e 2)) (.f64 -1/360 (pow.f64 e 2)))) (+.f64 (.f64 -1/5040 (pow.f64 e 3)) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 e 2)) (.f64 1/60 (pow.f64 e 2))) e)) (.f64 -1/360 (pow.f64 e 3)))))) (+.f64 (.f64 (pow.f64 v 3) (pow.f64 e 3)) (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/3 (pow.f64 e 3)) (.f64 -1/6 (pow.f64 e 3)))))))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.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 (.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 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 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 (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 -1 (.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(neg.f64 (.f64 (sin.f64 v) (.f64 e (cbrt.f64 -1))))
(.f64 (sin.f64 v) (neg.f64 (.f64 e (cbrt.f64 -1))))
(.f64 (sin.f64 v) (.f64 (cbrt.f64 -1) (neg.f64 e)))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(neg.f64 (.f64 (sin.f64 v) (.f64 e (cbrt.f64 -1))))
(.f64 (sin.f64 v) (neg.f64 (.f64 e (cbrt.f64 -1))))
(.f64 (sin.f64 v) (.f64 (cbrt.f64 -1) (neg.f64 e)))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(neg.f64 (.f64 (sin.f64 v) (.f64 e (cbrt.f64 -1))))
(.f64 (sin.f64 v) (neg.f64 (.f64 e (cbrt.f64 -1))))
(.f64 (sin.f64 v) (.f64 (cbrt.f64 -1) (neg.f64 e)))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(neg.f64 (.f64 (sin.f64 v) (.f64 e (cbrt.f64 -1))))
(.f64 (sin.f64 v) (neg.f64 (.f64 e (cbrt.f64 -1))))
(.f64 (sin.f64 v) (.f64 (cbrt.f64 -1) (neg.f64 e)))
(*.f64 (pow.f64 v 3) (pow.f64 e 3))
(pow.f64 (*.f64 v e) 3)
(+.f64 (.f64 (pow.f64 v 3) (pow.f64 e 3)) (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/3 (pow.f64 e 3)) (.f64 -1/6 (pow.f64 e 3)))))
(fma.f64 (pow.f64 v 3) (pow.f64 e 3) (.f64 (pow.f64 v 5) (.f64 (pow.f64 e 3) -1/2)))
(.f64 (pow.f64 e 3) (+.f64 (pow.f64 v 3) (.f64 (pow.f64 v 5) -1/2)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 e 2)) (.f64 1/60 (pow.f64 e 2))) e) (+.f64 (.f64 1/120 (pow.f64 e 3)) (.f64 1/18 (pow.f64 e 3)))) (pow.f64 v 7)) (+.f64 (.f64 (pow.f64 v 3) (pow.f64 e 3)) (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/3 (pow.f64 e 3)) (.f64 -1/6 (pow.f64 e 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 e e) 2/45) e (.f64 (pow.f64 e 3) 23/360)) (pow.f64 v 7) (fma.f64 (pow.f64 v 3) (pow.f64 e 3) (.f64 (pow.f64 v 5) (*.f64 (pow.f64 e 3) -1/2))))
(fma.f64 (pow.f64 v 7) (fma.f64 (pow.f64 e 3) 23/360 (.f64 (pow.f64 e 3) 2/45)) (fma.f64 (pow.f64 v 3) (pow.f64 e 3) (.f64 (pow.f64 v 5) (*.f64 (pow.f64 e 3) -1/2))))
(fma.f64 (pow.f64 v 7) (.f64 (pow.f64 e 3) 13/120) (.f64 (pow.f64 e 3) (+.f64 (pow.f64 v 3) (*.f64 (pow.f64 v 5) -1/2))))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 e 2)) (.f64 1/60 (pow.f64 e 2))) e) (+.f64 (.f64 1/120 (pow.f64 e 3)) (.f64 1/18 (pow.f64 e 3)))) (pow.f64 v 7)) (+.f64 (.f64 (pow.f64 v 9) (+.f64 (.f64 e (+.f64 (.f64 -1/2520 (pow.f64 e 2)) (.f64 -1/360 (pow.f64 e 2)))) (+.f64 (.f64 -1/5040 (pow.f64 e 3)) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 e 2)) (.f64 1/60 (pow.f64 e 2))) e)) (.f64 -1/360 (pow.f64 e 3)))))) (+.f64 (.f64 (pow.f64 v 3) (pow.f64 e 3)) (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/3 (pow.f64 e 3)) (.f64 -1/6 (pow.f64 e 3)))))))
(fma.f64 (fma.f64 (.f64 (.f64 e e) 2/45) e (.f64 (pow.f64 e 3) 23/360)) (pow.f64 v 7) (fma.f64 (pow.f64 v 9) (fma.f64 e (.f64 (.f64 e e) -1/315) (fma.f64 -1/5040 (pow.f64 e 3) (fma.f64 -1/6 (.f64 e (.f64 (.f64 e e) 2/45)) (.f64 (pow.f64 e 3) -1/360)))) (fma.f64 (pow.f64 v 3) (pow.f64 e 3) (.f64 (pow.f64 v 5) (*.f64 (pow.f64 e 3) -1/2)))))
(fma.f64 (pow.f64 v 7) (fma.f64 (pow.f64 e 3) 23/360 (.f64 (pow.f64 e 3) 2/45)) (fma.f64 (pow.f64 v 9) (+.f64 (.f64 (pow.f64 e 3) -1/315) (fma.f64 -1/5040 (pow.f64 e 3) (fma.f64 -1/6 (.f64 (pow.f64 e 3) 2/45) (.f64 (pow.f64 e 3) -1/360)))) (fma.f64 (pow.f64 v 3) (pow.f64 e 3) (.f64 (pow.f64 v 5) (.f64 (pow.f64 e 3) -1/2)))))
(fma.f64 (pow.f64 v 7) (.f64 (pow.f64 e 3) 13/120) (fma.f64 (pow.f64 v 9) (+.f64 (fma.f64 -1/5040 (pow.f64 e 3) (.f64 (pow.f64 e 3) -1/135)) (.f64 (pow.f64 e 3) -1/168)) (.f64 (pow.f64 e 3) (+.f64 (pow.f64 v 3) (*.f64 (pow.f64 v 5) -1/2)))))
(fma.f64 (pow.f64 v 9) (+.f64 (.f64 e (.f64 (.f64 e e) -11/1080)) (.f64 (pow.f64 e 3) -17/5040)) (fma.f64 (pow.f64 v 7) (.f64 (pow.f64 e 3) 13/120) (.f64 (pow.f64 e 3) (+.f64 (pow.f64 v 3) (*.f64 (pow.f64 v 5) -1/2)))))
(fma.f64 (pow.f64 v 7) (.f64 (pow.f64 e 3) 13/120) (fma.f64 (pow.f64 v 9) (+.f64 (.f64 (pow.f64 e 3) -1/336) (.f64 e (.f64 (.f64 e e) -2/189))) (.f64 (pow.f64 e 3) (+.f64 (pow.f64 v 3) (*.f64 (pow.f64 v 5) -1/2)))))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (.f64 v e))
(.f64 e (+.f64 v (.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (*.f64 v e)))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (.f64 e (+.f64 v (*.f64 1/120 (pow.f64 v 5)))))
(.f64 e (+.f64 (.f64 -1/6 (pow.f64 v 3)) (fma.f64 1/120 (pow.f64 v 5) v)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (fma.f64 v e (.f64 -1/5040 (.f64 e (pow.f64 v 7))))))
(fma.f64 -1/6 (.f64 e (pow.f64 v 3)) (fma.f64 1/120 (.f64 e (pow.f64 v 5)) (.f64 e (+.f64 v (.f64 -1/5040 (pow.f64 v 7))))))
(.f64 e (+.f64 (fma.f64 -1/5040 (pow.f64 v 7) v) (fma.f64 -1/6 (pow.f64 v 3) (.f64 1/120 (pow.f64 v 5)))))
(.f64 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)))

eval226.0ms (3.2%)

Compiler: Compiled 12418 to 7166 computations (42.3% saved)

prune125.0ms (1.7%)

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	682	11	693
Fresh	7	13	20
Picked	0	1	1
Done	3	3	6
Total	692	28	720

Error

Counts

720 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 v) e)) 3) (+.f64 1 (.f64 e (cos.f64 v))))
	27.0b	(/.f64 (exp.f64 (log.f64 (.f64 (sin.f64 v) e))) (+.f64 1 (.f64 e (cos.f64 v))))
	33.4b	(/.f64 e (/.f64 (+.f64 e 1) v))
	5.3b	(/.f64 e (cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 3)))
	62.8b	(-.f64 v (/.f64 v e))
✓	33.4b	(/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 v) e) 3)) (+.f64 1 (.f64 e (cos.f64 v))))
	32.8b	(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
▶	34.2b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
	33.6b	(.f64 v (.f64 (-.f64 1 e) e))
	12.4b	(/.f64 (.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1)) (+.f64 1 (.f64 e (cos.f64 v))))
	61.3b	v
▶	0.4b	(/.f64 (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 1 (*.f64 e (cos.f64 v))))
✓	33.9b	(*.f64 v e)
	1.0b	(/.f64 (*.f64 e (expm1.f64 (log1p.f64 (sin.f64 v)))) (+.f64 1 e))
	25.0b	(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 v) e)) 2) (+.f64 1 (.f64 e (cos.f64 v))))
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	32.8b	(.f64 e (/.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))))
	1.4b	(*.f64 (sin.f64 v) e)
	1.0b	(/.f64 (.f64 e (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 v))) 3))) (+.f64 1 (.f64 e (cos.f64 v))))
▶	45.4b	(-.f64 1 1)
	1.5b	(/.f64 e (/.f64 1 (sin.f64 v)))
	1.0b	(/.f64 (*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 e))
▶	5.8b	(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 e))
	1.1b	(/.f64 1 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e))
▶	0.9b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
✓	5.1b	(/.f64 (.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 (.f64 e (cos.f64 v))))
	13.2b	(/.f64 (*.f64 e (log.f64 (exp.f64 (sin.f64 v)))) (+.f64 1 e))
	63.1b	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))

Compiler

Compiled 655 to 472 computations (27.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 14 computations (71.4% saved)

series11.0ms (0.1%)

Counts

3 → 52

Calls

18 calls:

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

rewrite73.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

674×	`log-prod_binary64`
373×	`prod-diff_binary64`
319×	`pow2_binary64`
275×	`fma-def_binary64`
255×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	248	29
2	3355	29

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

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

Outputs

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

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

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

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

794×	`fma-def_binary64`
499×	`associate-l_binary64`
478×	`associate-r_binary64`
451×	`times-frac_binary64`
316×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1281
1	421	1221
2	1510	1174
3	7352	1158

Stop Event

1×	node limit

Counts

151 → 143

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

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 e 1) (*.f64 v e))
✓	1.0b	(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite67.0ms (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	2559	20

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (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))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite63.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

68 → 68

Calls

Call 1

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

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

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 e))
	0.1b	(*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3)))
	0.3b	(pow.f64 (sin.f64 v) 3)
	18.2b	(cbrt.f64 (pow.f64 (sin.f64 v) 3))

Compiler

Compiled 38 to 23 computations (39.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite78.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
386×	`exp-prod_binary64`
318×	`pow-prod-down_binary64`
263×	`pow2_binary64`
182×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	237	12
2	2828	12

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

83 → 83

Calls

Call 1

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

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

eval346.0ms (4.9%)

Compiler: Compiled 9450 to 5131 computations (45.7% saved)

prune193.0ms (2.7%)

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	556	17	573
Fresh	8	11	19
Picked	0	1	1
Done	3	5	8
Total	567	34	601

Error

Counts

601 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(/.f64 1 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e))
	60.3b	(sin.f64 v)
	0.9b	(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
	0.3b	(+.f64 0 (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e)))
	33.4b	(/.f64 e (/.f64 (+.f64 e 1) v))
	34.2b	(/.f64 1 (+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)))
✓	33.4b	(/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 v) e) 3)) (+.f64 1 (.f64 e (cos.f64 v))))
	32.8b	(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
	34.3b	(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) v) (/.f64 1 e)))
	33.6b	(.f64 v (.f64 (-.f64 1 e) e))
	34.7b	(/.f64 1 (/.f64 1 (*.f64 v e)))
	61.3b	v
	1.4b	(*.f64 (sin.f64 v) e)
✓	33.9b	(*.f64 v e)
	1.0b	(/.f64 (*.f64 e (expm1.f64 (log1p.f64 (sin.f64 v)))) (+.f64 1 e))
	1.8b	(pow.f64 (/.f64 (+.f64 e 1) (*.f64 e (sin.f64 v))) -1)
	1.2b	(/.f64 (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 1 e))
✓	0.1b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
	25.2b	(pow.f64 (sqrt.f64 (/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))) 2)
	32.8b	(.f64 e (/.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))))
✓	5.1b	(/.f64 (.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 (.f64 e (cos.f64 v))))
	1.8b	(pow.f64 (cbrt.f64 (/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))) 3)
	1.7b	(/.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3)) (+.f64 1 e))
	63.1b	(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
	1.0b	(/.f64 (.f64 e (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 v))) 3))) (+.f64 1 (.f64 e (cos.f64 v))))
	62.8b	(-.f64 v (/.f64 v e))
✓	45.4b	(-.f64 1 1)
	1.5b	(/.f64 e (/.f64 1 (sin.f64 v)))
	1.0b	(/.f64 (*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 e))
	13.2b	(/.f64 (*.f64 e (log.f64 (exp.f64 (sin.f64 v)))) (+.f64 1 e))
	27.1b	(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 v) e))) (+.f64 1 e))
	0.9b	(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 1 (*.f64 e e))) (-.f64 1 e))
✓	5.8b	(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 e))
	13.2b	(/.f64 (*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) (+.f64 1 e))

Compiler

Compiled 407 to 296 computations (27.3% saved)

regimes155.0ms (2.2%)

Counts

68 → 1

Calls

Call 1

Inputs
(/.f64 (.f64 e (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 v)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 v)))))) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (.f64 e (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 v))) 3))) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e)))
(/.f64 e (cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 3)))
(*.f64 e (pow.f64 (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) -3))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(/.f64 (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 v) e)) 2) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 v) e)) 2) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 v) e)) 3) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 v) e) 3)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (pow.f64 (sqrt.f64 (.f64 e (sin.f64 v))) 2) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 e (sin.f64 v))) 3) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 e (sin.f64 v)) 3)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (exp.f64 (log.f64 (.f64 (sin.f64 v) e))) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (exp.f64 (log.f64 (.f64 (sin.f64 v) e))) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (exp.f64 (log.f64 (.f64 e (sin.f64 v)))) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (.f64 e (expm1.f64 (log1p.f64 (sin.f64 v)))) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (.f64 e (log.f64 (exp.f64 (sin.f64 v)))) (+.f64 1 (.f64 e (cos.f64 v))))
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
(+.f64 0 (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e)))
(/.f64 (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 1 e))
(/.f64 1 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e))
(*.f64 e (/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))
(pow.f64 (sqrt.f64 (/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))) 2)
(pow.f64 (cbrt.f64 (/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))) 3)
(/.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3)) (+.f64 1 e))
(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 e))
(/.f64 (*.f64 e (log.f64 (exp.f64 (sin.f64 v)))) (+.f64 1 e))
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 v) e))) (+.f64 1 e))
(/.f64 (*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 e))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
(/.f64 (*.f64 e (expm1.f64 (log1p.f64 (sin.f64 v)))) (+.f64 1 e))
(/.f64 (*.f64 e (log.f64 (exp.f64 (sin.f64 v)))) (+.f64 1 e))
(/.f64 (.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(pow.f64 (/.f64 (+.f64 e 1) (*.f64 e (sin.f64 v))) -1)
(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 1 (*.f64 e e))) (-.f64 1 e))
(/.f64 (*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) (+.f64 1 e))
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
(*.f64 e (/.f64 1 (/.f64 1 (sin.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(/.f64 e (/.f64 1 (sin.f64 v)))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(sin.f64 v)
(.f64 e (/.f64 1 (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(/.f64 e (+.f64 (.f64 (-.f64 (.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 1 (+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) v) (/.f64 1 e)))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(.f64 v (.f64 (-.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 e 1) v))
(*.f64 e (/.f64 v (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(-.f64 1 1)
(*.f64 v e)
v

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

Calls

3 calls:

47.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
41.0ms	v
32.0ms	e

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 756 to 357 computations (52.8% saved)

regimes40.0ms (0.6%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	v
15.0ms	e

Results

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

Compiler

Compiled 243 to 132 computations (45.7% saved)

regimes29.0ms (0.4%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	e
11.0ms	v

Results

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

Compiler

Compiled 183 to 99 computations (45.9% saved)

regimes29.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	e
11.0ms	v

Results

Error	Segments	Branch
32.8b	1	`e`
32.8b	1	`v`

Compiler

Compiled 169 to 95 computations (43.8% saved)

regimes25.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	e
10.0ms	v

Results

Error	Segments	Branch
32.8b	1	`e`
32.8b	1	`v`

Compiler

Compiled 144 to 79 computations (45.1% saved)

regimes23.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	v
9.0ms	e

Results

Error	Segments	Branch
33.4b	1	`e`
33.4b	1	`v`

Compiler

Compiled 123 to 65 computations (47.2% saved)

regimes13.0ms (0.2%)

Accuracy

Total -29.1b remaining (-85.8%)

Threshold costs -29.1b (-85.8%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(*.f64 v e)

Calls

2 calls:

5.0ms	e
5.0ms	v

Results

Error	Segments	Branch
33.9b	1	`e`
33.9b	1	`v`

Compiler

Compiled 30 to 12 computations (60% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	115
1	46	115
2	55	115
3	63	115
4	69	115
5	72	115
6	73	115

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 94 to 65 computations (30.9% saved)

soundness0.0ms (0%)

end71.0ms (1%)

Compiler: Compiled 80 to 45 computations (43.8% saved)