Details

analyze67.0ms (1.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	56.2%	0.1%	6
62.4%	37.5%	0.1%	7
70.2%	29.7%	0.1%	8
78%	21.9%	0.1%	9
83.1%	16.8%	0.1%	10
88.2%	11.7%	0.1%	11
91%	8.9%	0.1%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.4s (24.6%)

Results

756.0ms	6092×	body	256	valid
444.0ms	1330×	body	1024	valid
187.0ms	831×	body	512	valid
2.0ms	3×	body	2048	valid

preprocess19.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`associate-*r/_binary64`
2×	`associate-*l/_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	15	18
2	23	18
3	29	18
4	31	18
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 y (/.f64 (sin.f64 x) x))

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	13	9
3	17	9
4	18	9

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series8.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms	y	@	inf	(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms	y	@	-inf	(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms	y	@	-inf	(/.f64 (sin.f64 y) y)
1.0ms	x	@	inf	(*.f64 x (/.f64 (sin.f64 y) y))

rewrite57.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`pow1_binary64`
636×	`add-log-exp_binary64`
636×	`log1p-expm1-u_binary64`
636×	`expm1-log1p-u_binary64`
621×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	125	15
2	1682	15

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) y)
(*.f64 x (/.f64 (sin.f64 y) y))

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

Outputs

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

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

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

791×	`associate-/l/_binary64`
597×	`times-frac_binary64`
576×	`fma-def_binary64`
516×	`distribute-rgt-out_binary64`
457×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	296
1	88	292
2	221	283
3	673	281
4	2646	281
5	4770	281
6	6446	281

Stop Event

1×	node limit

Counts

81 → 68

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/120) -1/6) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 (.f64 y y) x) x)
(fma.f64 -1/6 (.f64 (.f64 x y) y) x)
(.f64 (fma.f64 -1/6 (.f64 y y) 1) x)
(fma.f64 y (.f64 -1/6 (.f64 y x)) x)
(fma.f64 -1/6 (.f64 y (.f64 y x)) x)
(fma.f64 (.f64 y y) (.f64 -1/6 x) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 (.f64 y y) x) (fma.f64 1/120 (*.f64 (pow.f64 y 4) x) x))
(+.f64 x (.f64 x (fma.f64 -1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(.f64 x (fma.f64 -1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(.f64 (fma.f64 -1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) x)
(fma.f64 (.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6)) x x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (.f64 (.f64 y y) x) (fma.f64 1/120 (.f64 (pow.f64 y 4) x) (fma.f64 -1/5040 (.f64 (pow.f64 y 6) x) x)))
(+.f64 (.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) x) (.f64 x (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 x (.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))))))
(fma.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6))) x)
(fma.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))) x)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))

eval14.0ms (0.2%)

Compiler: Compiled 720 to 333 computations (53.8% saved)

prune19.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	58	10	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	11	69

Error

0.0b

Counts

69 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(.f64 x (.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y))))
	32.7b	x
	36.6b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))
	18.1b	(*.f64 x (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
▶	27.5b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
▶	7.4b	(*.f64 (sin.f64 y) (/.f64 x y))
	8.9b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	0.1b	(*.f64 x (pow.f64 (/.f64 y (sin.f64 y)) -1))
▶	9.3b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
▶	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 191 to 129 computations (32.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series3.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/.f64 y (sin.f64 y))
1.0ms	y	@	inf	(/.f64 y (sin.f64 y))
0.0ms	y	@	0	(/.f64 y (sin.f64 y))
0.0ms	x	@	0	(/.f64 x (/.f64 y (sin.f64 y)))
0.0ms	y	@	0	(/.f64 x (/.f64 y (sin.f64 y)))

rewrite68.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`pow1_binary64`
732×	`add-log-exp_binary64`
732×	`log1p-expm1-u_binary64`
732×	`expm1-log1p-u_binary64`
715×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	131	15
2	1925	15

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))

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

Outputs

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

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

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

645×	`fma-def_binary64`
626×	`distribute-rgt-out_binary64`
597×	`times-frac_binary64`
497×	`associate-l_binary64`
448×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	296
1	98	294
2	249	284
3	780	281
4	3051	281
5	5365	281
6	7212	281

Stop Event

1×	node limit

Counts

100 → 87

Calls

Call 1

Inputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))

Outputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 x (.f64 y y)) x)
(fma.f64 -1/6 (.f64 y (.f64 y x)) x)
(fma.f64 x (.f64 y (.f64 y -1/6)) x)
(.f64 x (fma.f64 y (.f64 y -1/6) 1))
(fma.f64 (.f64 y y) (.f64 x -1/6) x)
(.f64 x (fma.f64 -1/6 (.f64 y y) 1))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 -1/6 (.f64 y (.f64 y x)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) x)
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) x)
(fma.f64 x (fma.f64 y (.f64 y -1/6) (.f64 1/120 (pow.f64 y 4))) x)
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/6 (.f64 y y))) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (.f64 x (pow.f64 y 6)) x)))
(fma.f64 -1/6 (.f64 y (.f64 y x)) (fma.f64 1/120 (.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (.f64 y (.f64 y -1/6)) (fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 -1/5040 (pow.f64 y 6))) x))
(fma.f64 x (fma.f64 y (.f64 y -1/6) (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/5040 (pow.f64 y 6)))) x)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) 1/6))
(fma.f64 (*.f64 y y) 1/6 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360)))
(+.f64 1 (fma.f64 (.f64 y y) 1/6 (.f64 (pow.f64 y 4) 7/360)))
(fma.f64 (pow.f64 y 4) 7/360 (fma.f64 y (*.f64 y 1/6) 1))
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1))
(fma.f64 (*.f64 y y) 1/6 (fma.f64 (pow.f64 y 4) 7/360 1))
(+.f64 1 (+.f64 (.f64 31/15120 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 31/15120 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 (pow.f64 y 4) 7/360))))
(+.f64 1 (fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (.f64 y y) 1/6 (.f64 (pow.f64 y 4) 7/360))))
(fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (pow.f64 y 4) 7/360 (fma.f64 y (*.f64 y 1/6) 1)))
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 (fma.f64 (pow.f64 y 6) 31/15120 1)))
(fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 (*.f64 y y) 1/6 (fma.f64 (pow.f64 y 4) 7/360 1)))

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.0b	(*.f64 (sin.f64 y) (/.f64 x y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(*.f64 (sin.f64 y) (/.f64 x y))
0.0ms	y	@	0	(*.f64 (sin.f64 y) (/.f64 x y))
0.0ms	y	@	inf	(*.f64 (sin.f64 y) (/.f64 x y))
0.0ms	x	@	inf	(*.f64 (sin.f64 y) (/.f64 x y))
0.0ms	x	@	-inf	(*.f64 (sin.f64 y) (/.f64 x y))

rewrite50.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`pow1_binary64`
636×	`add-log-exp_binary64`
636×	`log1p-expm1-u_binary64`
636×	`expm1-log1p-u_binary64`
621×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	125	9
2	1682	9

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) (/.f64 x y))

Outputs

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

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

791×	`associate-/l/_binary64`
597×	`times-frac_binary64`
512×	`distribute-rgt-out_binary64`
437×	`fma-def_binary64`
431×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	244
1	70	244
2	178	238
3	547	235
4	2203	235
5	4452	235
6	5205	235

Stop Event

1×	node limit

Counts

46 → 30

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

Outputs
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 -1/6 (.f64 y y) 1))
(.f64 x (fma.f64 y (.f64 -1/6 y) 1))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) x)
(.f64 x (fma.f64 -1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/5040 (pow.f64 y 6))) (.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 x (fma.f64 -1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/5040 (pow.f64 y 6)))) x)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 y) x)
✓	0.6b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
✓	8.8b	(/.f64 y (*.f64 (sin.f64 y) x))

Compiler

Compiled 25 to 8 computations (68% saved)

series10.0ms (0.2%)

Counts

3 → 32

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/.f64 y (*.f64 (sin.f64 y) x))
1.0ms	x	@	-inf	(/.f64 y (*.f64 (sin.f64 y) x))
1.0ms	y	@	0	(/.f64 y (*.f64 (sin.f64 y) x))
1.0ms	y	@	-inf	(/.f64 y (*.f64 (sin.f64 y) x))
1.0ms	x	@	0	(/.f64 y (*.f64 (sin.f64 y) x))

rewrite76.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`pow1_binary64`
814×	`add-log-exp_binary64`
814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
795×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	166	24
2	2230	24

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
(*.f64 (sin.f64 y) x)

Outputs

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

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

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

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

828×	`distribute-lft-out_binary64`
808×	`distribute-rgt-out_binary64`
433×	`associate-/l*_binary64`
414×	`associate-/r/_binary64`
409×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	396
1	163	393
2	433	376
3	1406	375
4	2575	375
5	5463	375
6	7272	375

Stop Event

1×	node limit

Counts

128 → 120

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))

Outputs
(/.f64 1 x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x)))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x)))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (/.f64 1 x)))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x)))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (/.f64 1 x)))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))))
(fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))))
(+.f64 (/.f64 1 x) (.f64 (.f64 y (/.f64 y x)) (+.f64 1/6 (+.f64 (.f64 (pow.f64 y 4) 31/15120) (.f64 y (*.f64 y 7/360))))))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 (.f64 y y) -1/6 1))
(fma.f64 (.f64 y y) (.f64 x -1/6) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 1/120)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 1/120)) (*.f64 x (fma.f64 (pow.f64 y 6) -1/5040 1)))
(.f64 x (+.f64 (fma.f64 (.f64 y y) -1/6 1) (fma.f64 (pow.f64 y 4) 1/120 (*.f64 (pow.f64 y 6) -1/5040))))
(.f64 x (+.f64 (fma.f64 (pow.f64 y 6) -1/5040 1) (fma.f64 (.f64 y y) -1/6 (*.f64 (pow.f64 y 4) 1/120))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 -1/6 (.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 x y (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7))) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 x (+.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7)))))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (pow.f64 (/.f64 y (sin.f64 y)) -1))
	0.1b	(/.f64 y (sin.f64 y))
✓	0.1b	(pow.f64 (/.f64 y (sin.f64 y)) -1)

Compiler

Compiled 25 to 10 computations (60% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(pow.f64 (/.f64 y (sin.f64 y)) -1)
1.0ms	y	@	inf	(pow.f64 (/.f64 y (sin.f64 y)) -1)
0.0ms	y	@	0	(pow.f64 (/.f64 y (sin.f64 y)) -1)
0.0ms	x	@	-inf	(*.f64 x (pow.f64 (/.f64 y (sin.f64 y)) -1))
0.0ms	y	@	0	(*.f64 x (pow.f64 (/.f64 y (sin.f64 y)) -1))

rewrite57.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`pow1_binary64`
754×	`add-log-exp_binary64`
754×	`log1p-expm1-u_binary64`
754×	`expm1-log1p-u_binary64`
736×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	165	15
2	2066	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(*.f64 x (pow.f64 (/.f64 y (sin.f64 y)) -1))

Outputs

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

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

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

791×	`associate-/l/_binary64`
597×	`times-frac_binary64`
576×	`fma-def_binary64`
516×	`distribute-rgt-out_binary64`
453×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	344
1	89	340
2	221	331
3	675	329
4	2625	329
5	4775	329
6	6451	329

Stop Event

1×	node limit

Counts

90 → 70

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y 1/120) -1/6) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 (.f64 y y) x) x)
(.f64 (fma.f64 -1/6 (.f64 y y) 1) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 (.f64 y y) x) (fma.f64 1/120 (*.f64 (pow.f64 y 4) x) x))
(+.f64 x (.f64 x (fma.f64 -1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(.f64 x (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/6 (.f64 y y) 1)))
(fma.f64 (.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6)) x x)
(.f64 (fma.f64 -1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (.f64 (.f64 y y) x) (fma.f64 1/120 (.f64 (pow.f64 y 4) x) (fma.f64 -1/5040 (.f64 (pow.f64 y 6) x) x)))
(+.f64 (.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) x) (.f64 x (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 x (.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))))))
(fma.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6))) x)
(fma.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))) x)
(.f64 (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6) (fma.f64 -1/5040 (pow.f64 y 6) 1)) x)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 (sin.f64 y) y) x)
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
✓	7.5b	(sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))

Compiler

Compiled 33 to 9 computations (72.7% saved)

series20.0ms (0.3%)

Counts

3 → 32

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
2.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
2.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
2.0ms	y	@	-inf	(sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)

rewrite66.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`pow1_binary64`
781×	`add-log-exp_binary64`
781×	`log1p-expm1-u_binary64`
781×	`expm1-log1p-u_binary64`
762×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	191	29
2	2132	29

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
(*.f64 (/.f64 (sin.f64 y) y) x)

Outputs

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

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

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

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

436×	`*-commutative_binary64`
393×	`distribute-rgt-in_binary64`
386×	`distribute-lft-in_binary64`
352×	`fma-def_binary64`
316×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	511
1	170	499
2	491	437
3	2070	397
4	5823	397

Stop Event

1×	node limit

Counts

124 → 89

Calls

Call 1

Inputs
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 -1/12 (.f64 (pow.f64 y 2) (sqrt.f64 x))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/120 x) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 -1/12 (*.f64 (pow.f64 y 2) (sqrt.f64 x)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/5040 x) (.f64 -1/12 (-.f64 (.f64 1/120 x) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/120 x) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 -1/12 (.f64 (pow.f64 y 2) (sqrt.f64 x))))))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/144 x) (.f64 1/120 x)) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2)) (pow.f64 y 4)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/144 x) (.f64 1/120 x)) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2)) (pow.f64 y 4)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

Outputs
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 -1/12 (.f64 (pow.f64 y 2) (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (.f64 -1/12 (.f64 (sqrt.f64 x) (*.f64 y y))))
(fma.f64 (.f64 -1/12 (.f64 y y)) (sqrt.f64 x) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (fma.f64 -1/12 (.f64 y y) 1))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/120 x) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 -1/12 (*.f64 (pow.f64 y 2) (sqrt.f64 x)))))
(fma.f64 1/2 (.f64 (-.f64 (.f64 x 1/120) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 -1/12 (.f64 (sqrt.f64 x) (*.f64 y y)))))
(fma.f64 1/2 (.f64 (-.f64 (.f64 x 1/120) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 x)))) (fma.f64 (.f64 -1/12 (.f64 y y)) (sqrt.f64 x) (sqrt.f64 x)))
(fma.f64 1/2 (.f64 (fma.f64 x 1/120 (.f64 x -1/144)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 x)))) (.f64 (sqrt.f64 x) (fma.f64 -1/12 (*.f64 y y) 1)))
(fma.f64 1/2 (.f64 (.f64 (.f64 x 1/720) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 x))) (.f64 (sqrt.f64 x) (fma.f64 -1/12 (*.f64 y y) 1)))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/5040 x) (.f64 -1/12 (-.f64 (.f64 1/120 x) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/120 x) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 -1/12 (.f64 (pow.f64 y 2) (sqrt.f64 x))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (pow.f64 y 6) (-.f64 (.f64 x -1/5040) (.f64 -1/12 (-.f64 (.f64 x 1/120) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2)))))) (fma.f64 1/2 (.f64 (-.f64 (.f64 x 1/120) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 -1/12 (.f64 (sqrt.f64 x) (*.f64 y y))))))
(+.f64 (fma.f64 (.f64 -1/12 (.f64 y y)) (sqrt.f64 x) (sqrt.f64 x)) (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 6) (fma.f64 x -1/5040 (.f64 (-.f64 (.f64 x 1/120) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2)) 1/12)))) (.f64 (.f64 1/2 (-.f64 (.f64 x 1/120) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2))) (pow.f64 y 4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (pow.f64 y 6) (fma.f64 x -1/5040 (.f64 (fma.f64 x 1/120 (.f64 x -1/144)) 1/12))) (.f64 (fma.f64 x 1/120 (.f64 x -1/144)) (pow.f64 y 4)))) (.f64 (sqrt.f64 x) (fma.f64 -1/12 (.f64 y y) 1)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 (.f64 x 1/720) (pow.f64 y 4)) (.f64 (pow.f64 y 6) (fma.f64 x -1/5040 (.f64 -1/12 (.f64 x -1/720)))))) (.f64 (sqrt.f64 x) (fma.f64 -1/12 (.f64 y y) 1)))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 (.f64 y y) -1/6 1))
(fma.f64 x (.f64 y (.f64 y -1/6)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/144 x) (.f64 1/120 x)) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2)) (pow.f64 y 4)) x))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 (-.f64 (.f64 x 11/720) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2)) (pow.f64 y 4) x))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 11/720) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2)) x))
(fma.f64 x (.f64 y (.f64 y -1/6)) (fma.f64 (pow.f64 y 4) (fma.f64 x 11/720 (*.f64 x -1/144)) x))
(fma.f64 x (fma.f64 (.f64 y y) -1/6 (.f64 1/120 (pow.f64 y 4))) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/144 x) (.f64 1/120 x)) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2)) (pow.f64 y 4)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 (-.f64 (.f64 x 11/720) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2)) (pow.f64 y 4) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 11/720) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 (pow.f64 y 4) (fma.f64 x 11/720 (.f64 x -1/144)) (.f64 x (+.f64 (fma.f64 (pow.f64 y 6) -1/5040 1) (.f64 y (.f64 y -1/6)))))
(.f64 x (+.f64 (fma.f64 (.f64 y y) -1/6 1) (fma.f64 1/120 (pow.f64 y 4) (*.f64 (pow.f64 y 6) -1/5040))))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 (.f64 y y) -1/6 1))
(fma.f64 x (.f64 y (.f64 y -1/6)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 (-.f64 (.f64 x 11/720) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2)) (pow.f64 y 4) x))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 11/720) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2)) x))
(fma.f64 x (.f64 y (.f64 y -1/6)) (fma.f64 (pow.f64 y 4) (fma.f64 x 11/720 (*.f64 x -1/144)) x))
(fma.f64 x (fma.f64 (.f64 y y) -1/6 (.f64 1/120 (pow.f64 y 4))) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 (-.f64 (.f64 x 11/720) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2)) (pow.f64 y 4) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 x 11/720) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2)) (fma.f64 -1/5040 (*.f64 x (pow.f64 y 6)) x)))
(fma.f64 (pow.f64 y 4) (fma.f64 x 11/720 (.f64 x -1/144)) (.f64 x (+.f64 (fma.f64 (pow.f64 y 6) -1/5040 1) (.f64 y (.f64 y -1/6)))))
(.f64 x (+.f64 (fma.f64 (.f64 y y) -1/6 1) (fma.f64 1/120 (pow.f64 y 4) (*.f64 (pow.f64 y 6) -1/5040))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 (sin.f64 y) y))

eval109.0ms (1.9%)

Compiler: Compiled 5849 to 2600 computations (55.5% saved)

prune81.0ms (1.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	463	9	472
Fresh	5	0	5
Picked	1	0	1
Done	3	2	5
Total	472	11	483

Error

Counts

483 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	8.9b	(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
▶	8.9b	(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
	8.9b	(/.f64 (*.f64 (sin.f64 y) x) y)
	41.6b	(/.f64 1 (/.f64 y (*.f64 y x)))
	32.7b	x
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	7.4b	(*.f64 (sin.f64 y) (/.f64 x y))
▶	9.8b	(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y))
▶	32.8b	(/.f64 1 (/.f64 1 x))
▶	7.5b	(/.f64 (sin.f64 y) (/.f64 y x))
▶	0.1b	(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) x)

Compiler

Compiled 171 to 120 computations (29.8% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) x)
	0.1b	(/.f64 y (sin.f64 y))
✓	0.1b	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 25 to 10 computations (60% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite114.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`pow1_binary64`
780×	`add-log-exp_binary64`
780×	`log1p-expm1-u_binary64`
780×	`expm1-log1p-u_binary64`
762×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	165	15
2	2153	15

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(/.f64 1 (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) x)

Outputs

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

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

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

791×	`associate-/l/_binary64`
597×	`times-frac_binary64`
576×	`fma-def_binary64`
516×	`distribute-rgt-out_binary64`
443×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	344
1	89	340
2	221	331
3	673	329
4	2602	329
5	4752	329
6	6431	329

Stop Event

1×	node limit

Counts

97 → 78

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1)))
(fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) 1)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 (.f64 y y) x) x)
(.f64 (fma.f64 -1/6 (.f64 y y) 1) x)
(fma.f64 (.f64 y y) (.f64 -1/6 x) x)
(fma.f64 y (.f64 y (.f64 -1/6 x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 (.f64 y y) x) (fma.f64 1/120 (*.f64 (pow.f64 y 4) x) x))
(+.f64 x (.f64 x (fma.f64 -1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(.f64 x (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/6 (.f64 y y) 1)))
(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/120 -1/6)) x x)
(fma.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) x x)
(fma.f64 (.f64 (.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6)) x x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (.f64 (.f64 y y) x) (fma.f64 1/120 (.f64 (pow.f64 y 4) x) (fma.f64 -1/5040 (.f64 (pow.f64 y 6) x) x)))
(+.f64 (.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) x) (.f64 x (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 x (.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))))))
(fma.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/120 -1/6))) x)
(fma.f64 x (fma.f64 -1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/5040 (pow.f64 y 6)))) x)
(.f64 (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) 1))) x)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))

localize19.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite44.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

348×	`pow1_binary64`
336×	`add-sqr-sqrt_binary64`
328×	`*-un-lft-identity_binary64`
323×	`add-log-exp_binary64`
323×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	1
1	105	1
2	997	1

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x))) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5/2)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

59 → 48

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x

Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize37.0ms (0.7%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.1b	(/.f64 (sin.f64 y) (/.f64 y x))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 (sin.f64 y) (/.f64 y x))
0.0ms	y	@	inf	(/.f64 (sin.f64 y) (/.f64 y x))
0.0ms	x	@	-inf	(/.f64 (sin.f64 y) (/.f64 y x))
0.0ms	y	@	-inf	(/.f64 (sin.f64 y) (/.f64 y x))
0.0ms	x	@	inf	(/.f64 (sin.f64 y) (/.f64 y x))

rewrite56.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`pow1_binary64`
732×	`add-log-exp_binary64`
732×	`log1p-expm1-u_binary64`
732×	`expm1-log1p-u_binary64`
715×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	131	9
2	1925	9

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) (/.f64 y x))

Outputs

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

simplify90.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

791×	`associate-/l/_binary64`
597×	`times-frac_binary64`
512×	`distribute-rgt-out_binary64`
437×	`fma-def_binary64`
431×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	244
1	70	244
2	178	238
3	547	235
4	2203	235
5	4452	235
6	5205	235

Stop Event

1×	node limit

Counts

65 → 49

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

Outputs
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 -1/6 (.f64 y y) 1))
(.f64 x (fma.f64 y (.f64 -1/6 y) 1))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) x)
(.f64 x (fma.f64 -1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/5040 (pow.f64 y 6))) (.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 x (fma.f64 -1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/5040 (pow.f64 y 6)))) x)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))

localize32.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 y) x)
✓	8.9b	(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
0.0ms	y	@	-inf	(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
0.0ms	x	@	inf	(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
0.0ms	y	@	inf	(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
0.0ms	x	@	0	(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
692×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	159	9
2	1950	9

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))

Outputs

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

simplify84.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

791×	`associate-/l/_binary64`
597×	`times-frac_binary64`
512×	`distribute-rgt-out_binary64`
437×	`fma-def_binary64`
431×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	244
1	70	244
2	178	238
3	547	235
4	2203	235
5	4452	235
6	5205	235

Stop Event

1×	node limit

Counts

50 → 34

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

Outputs
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 -1/6 (.f64 y y) 1))
(.f64 x (fma.f64 y (.f64 -1/6 y) 1))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) x)
(.f64 x (fma.f64 -1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/5040 (pow.f64 y 6))) (.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 x (fma.f64 -1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 -1/5040 (pow.f64 y 6)))) x)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 y) x)
✓	0.2b	(/.f64 1 (*.f64 (sin.f64 y) x))
✓	0.6b	(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y))
✓	9.3b	(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y)

Compiler

Compiled 35 to 15 computations (57.1% saved)

series13.0ms (0.2%)

Counts

3 → 52

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y)
1.0ms	y	@	-inf	(/.f64 1 (*.f64 (sin.f64 y) x))
1.0ms	y	@	-inf	(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y)
1.0ms	x	@	0	(/.f64 1 (*.f64 (sin.f64 y) x))
1.0ms	x	@	-inf	(/.f64 1 (*.f64 (sin.f64 y) x))

rewrite117.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

901×	`pow1_binary64`
830×	`add-log-exp_binary64`
830×	`log1p-expm1-u_binary64`
830×	`expm1-log1p-u_binary64`
810×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	185	27
2	2372	27

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y)
(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y))
(/.f64 1 (*.f64 (sin.f64 y) x))

Outputs

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

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

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

simplify97.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

702×	`distribute-rgt-out_binary64`
689×	`fma-def_binary64`
603×	`associate-/l*_binary64`
548×	`associate-/r/_binary64`
442×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	585
1	153	583
2	377	573
3	1117	570
4	2898	570
5	6335	570

Stop Event

1×	node limit

Counts

132 → 104

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 1 (*.f64 y x))
(+.f64 (/.f64 1 (.f64 y x)) (.f64 1/6 (/.f64 y x)))
(+.f64 (/.f64 1 (.f64 y x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) x)) (*.f64 1/6 (/.f64 y x))))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 5) x)) (+.f64 (/.f64 1 (.f64 y x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) x)) (.f64 1/6 (/.f64 y x)))))

Outputs
(/.f64 1 x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x)))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x)))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (/.f64 1 x)))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (/.f64 1 x)))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (fma.f64 (/.f64 7/360 x) (pow.f64 y 4) (/.f64 1 x)))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))))
(fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))))
(fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 1/6 (*.f64 (/.f64 y x) y) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (/.f64 1 x))))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (*.f64 y (/.f64 y x)) (fma.f64 (/.f64 31/15120 x) (pow.f64 y 6) (/.f64 1 x))))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 (/.f64 1/6 x) (*.f64 y y) (fma.f64 (/.f64 31/15120 x) (pow.f64 y 6) (/.f64 1 x))))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (fma.f64 (/.f64 31/15120 x) (pow.f64 y 6) (fma.f64 (/.f64 7/360 x) (pow.f64 y 4) (/.f64 1 x))))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 x (.f64 y y)) x)
(fma.f64 (.f64 y y) (.f64 x -1/6) x)
(.f64 x (fma.f64 (.f64 y y) -1/6 1))
(.f64 x (fma.f64 y (.f64 y -1/6) 1))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 1/120)) x)
(fma.f64 x (fma.f64 y (.f64 y -1/6) (.f64 (pow.f64 y 4) 1/120)) x)
(.f64 x (fma.f64 (pow.f64 y 4) 1/120 (fma.f64 y (.f64 y -1/6) 1)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 1/120)) (*.f64 x (fma.f64 (pow.f64 y 6) -1/5040 1)))
(fma.f64 x (fma.f64 y (.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/120 (.f64 (pow.f64 y 6) -1/5040))) x)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 1 (*.f64 y x))
(/.f64 1 (*.f64 x y))
(/.f64 (/.f64 1 x) y)
(/.f64 (/.f64 1 y) x)
(+.f64 (/.f64 1 (.f64 y x)) (.f64 1/6 (/.f64 y x)))
(+.f64 (/.f64 1 (.f64 x y)) (.f64 1/6 (/.f64 y x)))
(fma.f64 1/6 (/.f64 y x) (/.f64 (/.f64 1 x) y))
(fma.f64 1/6 (/.f64 y x) (/.f64 1 (*.f64 x y)))
(fma.f64 1/6 (/.f64 y x) (/.f64 (/.f64 1 y) x))
(+.f64 (/.f64 1 (.f64 y x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) x)) (*.f64 1/6 (/.f64 y x))))
(+.f64 (/.f64 1 (.f64 x y)) (fma.f64 7/360 (/.f64 (pow.f64 y 3) x) (.f64 1/6 (/.f64 y x))))
(+.f64 (/.f64 (/.f64 1 x) y) (fma.f64 7/360 (/.f64 (pow.f64 y 3) x) (/.f64 1/6 (/.f64 x y))))
(fma.f64 1/6 (/.f64 y x) (fma.f64 7/360 (/.f64 (pow.f64 y 3) x) (/.f64 1 (*.f64 x y))))
(fma.f64 1/6 (/.f64 y x) (fma.f64 (/.f64 7/360 x) (pow.f64 y 3) (/.f64 (/.f64 1 y) x)))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 5) x)) (+.f64 (/.f64 1 (.f64 y x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) x)) (.f64 1/6 (/.f64 y x)))))
(fma.f64 31/15120 (/.f64 (pow.f64 y 5) x) (+.f64 (/.f64 1 (.f64 x y)) (fma.f64 7/360 (/.f64 (pow.f64 y 3) x) (.f64 1/6 (/.f64 y x)))))
(+.f64 (fma.f64 7/360 (/.f64 (pow.f64 y 3) x) (/.f64 1/6 (/.f64 x y))) (fma.f64 31/15120 (/.f64 (pow.f64 y 5) x) (/.f64 (/.f64 1 x) y)))
(fma.f64 31/15120 (/.f64 (pow.f64 y 5) x) (fma.f64 1/6 (/.f64 y x) (fma.f64 7/360 (/.f64 (pow.f64 y 3) x) (/.f64 1 (*.f64 x y)))))
(fma.f64 7/360 (/.f64 (pow.f64 y 3) x) (fma.f64 1/6 (/.f64 y x) (fma.f64 (/.f64 31/15120 x) (pow.f64 y 5) (/.f64 (/.f64 1 y) x))))
(fma.f64 1/6 (/.f64 y x) (fma.f64 7/360 (/.f64 (pow.f64 y 3) x) (fma.f64 31/15120 (/.f64 (pow.f64 y 5) x) (/.f64 1 (*.f64 x y)))))

eval163.0ms (2.9%)

Compiler: Compiled 4442 to 2173 computations (51.1% saved)

prune111.0ms (2%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	384	9	393
Fresh	2	2	4
Picked	1	0	1
Done	0	6	6
Total	387	17	404

Error

Counts

404 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.9b	(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
▶	7.6b	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
▶	42.1b	(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
	41.6b	(/.f64 1 (/.f64 y (*.f64 y x)))
	32.7b	x
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	7.5b	(/.f64 (sin.f64 y) (/.f64 y x))
▶	61.7b	(neg.f64 x)
	39.7b	(-.f64 (+.f64 1 x) 1)
✓	0.1b	(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) x)
✓	7.4b	(*.f64 (sin.f64 y) (/.f64 x y))
▶	33.9b	(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y))
	42.1b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 y) x) y))
✓	32.8b	(/.f64 1 (/.f64 1 x))
	8.9b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	41.6b	(.f64 (/.f64 1 y) (.f64 y x))
	8.9b	(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))

Compiler

Compiled 250 to 177 computations (29.2% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
✓	6.7b	(/.f64 (/.f64 y x) (sin.f64 y))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 (/.f64 y x) (sin.f64 y))
0.0ms	y	@	-inf	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
0.0ms	y	@	-inf	(/.f64 (/.f64 y x) (sin.f64 y))
0.0ms	y	@	0	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
0.0ms	y	@	inf	(/.f64 (/.f64 y x) (sin.f64 y))

rewrite71.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`pow1_binary64`
886×	`add-log-exp_binary64`
886×	`log1p-expm1-u_binary64`
886×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	172	18
2	2435	18

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))

Outputs

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

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

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

983×	`distribute-rgt-out_binary64`
570×	`associate-/l*_binary64`
503×	`fma-def_binary64`
453×	`associate-l_binary64`
447×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	500
1	107	500
2	265	494
3	763	491
4	3048	491
5	6940	491

Stop Event

1×	node limit

Counts

131 → 100

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 (sin.f64 y) x))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)

Outputs
(/.f64 1 x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x)))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (/.f64 1 x)))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (fma.f64 (/.f64 7/360 x) (pow.f64 y 4) (/.f64 1 x)))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (/.f64 1 x)))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (/.f64 1 x))))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (fma.f64 (/.f64 7/360 x) (pow.f64 y 4) (fma.f64 (/.f64 31/15120 x) (pow.f64 y 6) (/.f64 1 x))))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y (*.f64 (sin.f64 y) x))
(/.f64 y (*.f64 x (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 x (.f64 y y)) x)
(fma.f64 (.f64 y y) (.f64 x -1/6) x)
(.f64 x (fma.f64 (.f64 y y) -1/6 1))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 1/120)) x)
(.f64 x (fma.f64 (pow.f64 y 4) 1/120 (fma.f64 (.f64 y y) -1/6 1)))
(.f64 x (fma.f64 y (.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/120 1)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (.f64 x (pow.f64 y 4)) (fma.f64 -1/5040 (.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 (pow.f64 y 4) 1/120 (.f64 (pow.f64 y 6) -1/5040)) (fma.f64 (.f64 y y) (*.f64 x -1/6) x))
(fma.f64 x (fma.f64 y (.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/120 (.f64 (pow.f64 y 6) -1/5040))) x)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))

localize3.0ms (0%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.6b	(.f64 (/.f64 1 y) (.f64 y x))

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(.f64 (/.f64 1 y) (.f64 y x))
0.0ms	y	@	0	(.f64 (/.f64 1 y) (.f64 y x))
0.0ms	y	@	inf	(.f64 (/.f64 1 y) (.f64 y x))
0.0ms	x	@	inf	(.f64 (/.f64 1 y) (.f64 y x))
0.0ms	x	@	-inf	(.f64 (/.f64 1 y) (.f64 y x))

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`pow1_binary64`
531×	`add-log-exp_binary64`
531×	`log1p-expm1-u_binary64`
531×	`expm1-log1p-u_binary64`
519×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	140	1
2	1753	1

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(.f64 (/.f64 1 y) (.f64 y x))

Outputs

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	24

Stop Event

1×

saturated

Counts

47 → 24

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
✓	0.3b	(/.f64 1 (*.f64 y x))
✓	15.9b	(.f64 (/.f64 1 (.f64 y x)) y)

Compiler

Compiled 29 to 14 computations (51.7% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite66.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`pow1_binary64`
740×	`add-log-exp_binary64`
740×	`log1p-expm1-u_binary64`
740×	`expm1-log1p-u_binary64`
722×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	166	21
2	2144	21

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

Inputs
(.f64 (/.f64 1 (.f64 y x)) y)
(/.f64 1 (*.f64 y x))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))

Outputs

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

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

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	120
1	6	120

Stop Event

1×

saturated

Counts

126 → 80

Calls

Call 1

Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (*.f64 y x))
✓	0.3b	(*.f64 1/6 (/.f64 y x))
✓	0.4b	(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y))
✓	9.3b	(.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y)

Compiler

Compiled 61 to 29 computations (52.5% saved)

series20.0ms (0.3%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y))
2.0ms	x	@	0	(.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y)
1.0ms	x	@	inf	(.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y)
1.0ms	x	@	-inf	(.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y)
1.0ms	x	@	0	(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y))

rewrite112.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`prod-diff_binary64`
671×	`log-prod_binary64`
296×	`fma-def_binary64`
233×	`expm1-udef_binary64`
233×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	265	44
2	3748	44

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs
(.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y)
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y))
(*.f64 1/6 (/.f64 y x))

Outputs

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

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

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

simplify83.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-def_binary64`
685×	`distribute-rgt-out_binary64`
507×	`associate-l_binary64`
413×	`unswap-sqr_binary64`
405×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	62	782
1	159	758
2	408	712
3	1262	705
4	5892	640

Stop Event

1×	node limit

Counts

138 → 116

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(*.f64 1/6 (/.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(*.f64 1/6 (/.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(.f64 -1 (/.f64 (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y))) x))
(.f64 -1 (/.f64 (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y))) x))
(.f64 -1 (/.f64 (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y))) x))
(.f64 -1 (/.f64 (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y))) x))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/216 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x)))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(.f64 -1 (/.f64 x (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))
(.f64 -1 (/.f64 x (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))
(.f64 -1 (/.f64 x (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))
(.f64 -1 (/.f64 x (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))

Outputs
(/.f64 1 x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(*.f64 1/6 (/.f64 (pow.f64 y 2) x))
(.f64 1/6 (/.f64 (.f64 y y) x))
(/.f64 (.f64 1/6 (.f64 y y)) x)
(.f64 1/6 (.f64 (/.f64 y x) y))
(.f64 1/6 (.f64 y (/.f64 y x)))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(*.f64 1/6 (/.f64 (pow.f64 y 2) x))
(.f64 1/6 (/.f64 (.f64 y y) x))
(/.f64 (.f64 1/6 (.f64 y y)) x)
(.f64 1/6 (.f64 (/.f64 y x) y))
(.f64 1/6 (.f64 y (/.f64 y x)))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(/.f64 (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y) x)
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(.f64 -1 (/.f64 (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y))) x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(.f64 -1 (/.f64 (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y))) x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(.f64 -1 (/.f64 (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y))) x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
(.f64 -1 (/.f64 (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y))) x))
(fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(/.f64 (fma.f64 1/6 (*.f64 y y) 1) x)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 (.f64 y y) -1/6 1))
(.f64 x (fma.f64 y (.f64 y -1/6) 1))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/36 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 (.f64 y y) -1/6 (.f64 1/36 (pow.f64 y 4))) x)
(fma.f64 x (fma.f64 y (.f64 y -1/6) (.f64 1/36 (pow.f64 y 4))) x)
(fma.f64 x (fma.f64 1/36 (pow.f64 y 4) (.f64 y (.f64 y -1/6))) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/216 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x)))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 -1/216 (.f64 x (pow.f64 y 6)) (fma.f64 1/36 (.f64 x (pow.f64 y 4)) x)))
(fma.f64 x (.f64 -1/216 (pow.f64 y 6)) (fma.f64 x (fma.f64 (.f64 y y) -1/6 (*.f64 1/36 (pow.f64 y 4))) x))
(fma.f64 x (fma.f64 y (.f64 y -1/6) (fma.f64 1/36 (pow.f64 y 4) (.f64 -1/216 (pow.f64 y 6)))) x)
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(.f64 6 (/.f64 x (.f64 y y)))
(.f64 x (/.f64 6 (.f64 y y)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (.f64 6 (/.f64 x (.f64 y y))))
(fma.f64 6 (/.f64 x (*.f64 y y)) (/.f64 -36 (/.f64 (pow.f64 y 4) x)))
(.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 (/.f64 -36 y) y)))
(.f64 x (+.f64 (/.f64 6 (.f64 y y)) (/.f64 -36 (pow.f64 y 4))))
(.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 -36 (*.f64 y y))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 x (.f64 y y)) (/.f64 (.f64 216 x) (pow.f64 y 6))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 x (.f64 y y)) (/.f64 (.f64 x 216) (pow.f64 y 6))))
(fma.f64 216 (/.f64 x (pow.f64 y 6)) (.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 (/.f64 -36 y) y))))
(fma.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 -36 (.f64 y y))) (*.f64 x (/.f64 216 (pow.f64 y 6))))
(.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 216 (pow.f64 y 4)) (+.f64 6 (/.f64 -36 (*.f64 y y)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 x (.f64 y y)) (fma.f64 216 (/.f64 x (pow.f64 y 6)) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 x (.f64 y y)) (fma.f64 216 (/.f64 x (pow.f64 y 6)) (/.f64 (.f64 x -1296) (pow.f64 y 8)))))
(fma.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 -36 (.f64 y y))) (*.f64 x (+.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 -1296 (pow.f64 y 8)))))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(.f64 6 (/.f64 x (.f64 y y)))
(.f64 x (/.f64 6 (.f64 y y)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (.f64 6 (/.f64 x (.f64 y y))))
(fma.f64 6 (/.f64 x (*.f64 y y)) (/.f64 -36 (/.f64 (pow.f64 y 4) x)))
(.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 (/.f64 -36 y) y)))
(.f64 x (+.f64 (/.f64 6 (.f64 y y)) (/.f64 -36 (pow.f64 y 4))))
(.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 -36 (*.f64 y y))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 x (.f64 y y)) (/.f64 (.f64 216 x) (pow.f64 y 6))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 x (.f64 y y)) (/.f64 (.f64 x 216) (pow.f64 y 6))))
(fma.f64 216 (/.f64 x (pow.f64 y 6)) (.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 (/.f64 -36 y) y))))
(fma.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 -36 (.f64 y y))) (*.f64 x (/.f64 216 (pow.f64 y 6))))
(.f64 (/.f64 x (.f64 y y)) (+.f64 (/.f64 216 (pow.f64 y 4)) (+.f64 6 (/.f64 -36 (*.f64 y y)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 x (.f64 y y)) (fma.f64 216 (/.f64 x (pow.f64 y 6)) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 x (.f64 y y)) (fma.f64 216 (/.f64 x (pow.f64 y 6)) (/.f64 (.f64 x -1296) (pow.f64 y 8)))))
(fma.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 -36 (.f64 y y))) (*.f64 x (+.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 -1296 (pow.f64 y 8)))))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 x (*.f64 y (fma.f64 1/6 y (/.f64 1 y))))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 x (*.f64 y (fma.f64 1/6 y (/.f64 1 y))))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 x (*.f64 y (fma.f64 1/6 y (/.f64 1 y))))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 x (*.f64 y (fma.f64 1/6 y (/.f64 1 y))))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 x (*.f64 y (fma.f64 1/6 y (/.f64 1 y))))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 x (*.f64 y (fma.f64 1/6 y (/.f64 1 y))))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 x (*.f64 y (fma.f64 1/6 y (/.f64 1 y))))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(/.f64 x (*.f64 y (fma.f64 1/6 y (/.f64 1 y))))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(.f64 -1 (/.f64 x (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))
(neg.f64 (/.f64 x (.f64 y (-.f64 (.f64 y -1/6) (/.f64 1 y)))))
(/.f64 (neg.f64 (/.f64 x y)) (fma.f64 y -1/6 (/.f64 -1 y)))
(/.f64 (neg.f64 x) (fma.f64 y (*.f64 y -1/6) -1))
(.f64 -1 (/.f64 x (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))
(neg.f64 (/.f64 x (.f64 y (-.f64 (.f64 y -1/6) (/.f64 1 y)))))
(/.f64 (neg.f64 (/.f64 x y)) (fma.f64 y -1/6 (/.f64 -1 y)))
(/.f64 (neg.f64 x) (fma.f64 y (*.f64 y -1/6) -1))
(.f64 -1 (/.f64 x (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))
(neg.f64 (/.f64 x (.f64 y (-.f64 (.f64 y -1/6) (/.f64 1 y)))))
(/.f64 (neg.f64 (/.f64 x y)) (fma.f64 y -1/6 (/.f64 -1 y)))
(/.f64 (neg.f64 x) (fma.f64 y (*.f64 y -1/6) -1))
(.f64 -1 (/.f64 x (.f64 y (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))
(neg.f64 (/.f64 x (.f64 y (-.f64 (.f64 y -1/6) (/.f64 1 y)))))
(/.f64 (neg.f64 (/.f64 x y)) (fma.f64 y -1/6 (/.f64 -1 y)))
(/.f64 (neg.f64 x) (fma.f64 y (*.f64 y -1/6) -1))

eval172.0ms (3%)

Compiler: Compiled 4844 to 2559 computations (47.2% saved)

prune111.0ms (1.9%)

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	332	11	343
Fresh	4	2	6
Picked	1	0	1
Done	2	8	10
Total	339	21	360

Error

Counts

360 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	33.9b	(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 1 (/.f64 x (*.f64 y 1/6)))) y))
	54.0b	(.f64 x (/.f64 6 (.f64 y y)))
✓	8.9b	(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
✓	7.6b	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
	39.7b	(-.f64 (+.f64 1 x) 1)
	8.9b	(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
	8.9b	(/.f64 (*.f64 (sin.f64 y) x) y)
	24.8b	(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
	32.7b	x
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	53.9b	(/.f64 1 (.f64 1/6 (.f64 y (/.f64 y x))))
✓	7.5b	(/.f64 (sin.f64 y) (/.f64 y x))
✓	61.7b	(neg.f64 x)
	33.9b	(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 (*.f64 y 1/6) x)) y))
✓	0.1b	(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) x)
	54.5b	(.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 -36 (*.f64 y y))))
	33.9b	(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 1/6 (/.f64 x y))) y))
	41.6b	(/.f64 (*.f64 y x) y)
✓	7.4b	(*.f64 (sin.f64 y) (/.f64 x y))
	32.2b	(/.f64 y (/.f64 y x))
✓	32.8b	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 210 to 145 computations (31% saved)

regimes92.0ms (1.6%)

Counts

40 → 1

Calls

Call 1

Inputs
x
x
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 y x) y)
(/.f64 y (/.f64 y x))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 x (/.f64 6 (.f64 y y)))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (.f64 1/6 (.f64 y (/.f64 y x))))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 y) x) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 -36 (*.f64 y y))))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 (*.f64 y 1/6) x)) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 1/6 (/.f64 x y))) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 1 (/.f64 x (*.f64 y 1/6)))) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) x)
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 x)))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y))
(.f64 x (.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y))))
(*.f64 x (pow.f64 (/.f64 y (sin.f64 y)) -1))
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))

Calls

4 calls:

23.0ms	y
21.0ms	x
19.0ms	(/.f64 (sin.f64 y) y)
18.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
0.1b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 345 to 172 computations (50.1% saved)

regimes39.0ms (0.7%)

Counts

26 → 1

Calls

Call 1

Inputs
x
x
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 y x) y)
(/.f64 y (/.f64 y x))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 x (/.f64 6 (.f64 y y)))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (.f64 1/6 (.f64 y (/.f64 y x))))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 y) x) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 -36 (*.f64 y y))))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 (*.f64 y 1/6) x)) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 1/6 (/.f64 x y))) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 1 (/.f64 x (*.f64 y 1/6)))) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))

Outputs
(/.f64 x (/.f64 y (sin.f64 y)))

Calls

2 calls:

17.0ms	x
15.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`

Compiler

Compiled 207 to 106 computations (48.8% saved)

regimes81.0ms (1.4%)

Counts

25 → 3

Calls

Call 1

Inputs
x
x
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 y x) y)
(/.f64 y (/.f64 y x))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 x (/.f64 6 (.f64 y y)))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (.f64 1/6 (.f64 y (/.f64 y x))))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 y) x) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 -36 (*.f64 y y))))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 (*.f64 y 1/6) x)) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 1/6 (/.f64 x y))) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 1 (/.f64 x (*.f64 y 1/6)))) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)

Outputs
(*.f64 (sin.f64 y) (/.f64 x y))
x
(*.f64 (sin.f64 y) (/.f64 x y))

Calls

2 calls:

40.0ms	x
36.0ms	y

Results

Error	Segments	Branch
0.2b	3	`x`
0.1b	3	`y`

Compiler

Compiled 201 to 104 computations (48.3% saved)

bsearch87.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	4.5842635993859354e-33	1.6437499393855077e-22
29.0ms	-0.012611501421154598	-1.1589295557771032e-12

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes80.0ms (1.4%)

Counts

23 → 3

Calls

Call 1

Inputs
x
x
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 y x) y)
(/.f64 y (/.f64 y x))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 x (/.f64 6 (.f64 y y)))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (.f64 1/6 (.f64 y (/.f64 y x))))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 y) x) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 -36 (*.f64 y y))))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 (*.f64 y 1/6) x)) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 1/6 (/.f64 x y))) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 1 (/.f64 x (*.f64 y 1/6)))) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (sin.f64 y) (/.f64 y x))

Outputs
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(/.f64 (*.f64 (sin.f64 y) x) y)

Calls

2 calls:

35.0ms	x
35.0ms	y

Results

Error	Segments	Branch
0.4b	3	`x`
0.2b	3	`y`

Compiler

Compiled 189 to 103 computations (45.5% saved)

bsearch54.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	7.76304409507475e-56	1.4428163290796965e-55
27.0ms	-0.012611501421154598	-1.1589295557771032e-12

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes38.0ms (0.7%)

Counts

20 → 1

Calls

Call 1

Inputs
x
x
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 y x) y)
(/.f64 y (/.f64 y x))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 x (/.f64 6 (.f64 y y)))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (.f64 1/6 (.f64 y (/.f64 y x))))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 y) x) y))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(.f64 (/.f64 x (.f64 y y)) (+.f64 6 (/.f64 -36 (*.f64 y y))))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 (*.f64 y 1/6) x)) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 1/6 (/.f64 x y))) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (*.f64 1/6 (/.f64 y x))) y))
(/.f64 1 (.f64 (+.f64 (/.f64 1 (.f64 y x)) (/.f64 1 (/.f64 x (*.f64 y 1/6)))) y))

Outputs
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))

Calls

2 calls:

20.0ms	y
13.0ms	x

Results

Error	Segments	Branch
24.8b	1	`x`
24.8b	1	`y`

Compiler

Compiled 171 to 99 computations (42.1% saved)

regimes49.0ms (0.9%)

Counts

14 → 3

Calls

Call 1

Inputs
x
x
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 y x) y)
(/.f64 y (/.f64 y x))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 x (/.f64 6 (.f64 y y)))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (.f64 1/6 (.f64 y (/.f64 y x))))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 y) x) y))

Outputs
(.f64 x (/.f64 6 (.f64 y y)))
x
(/.f64 1 (.f64 1/6 (.f64 y (/.f64 y x))))

Calls

2 calls:

23.0ms	y
23.0ms	x

Results

Error	Segments	Branch
25.2b	3	`x`
24.9b	3	`y`

Compiler

Compiled 85 to 49 computations (42.4% saved)

bsearch53.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	0.003935394346914117	3534.423502679324
29.0ms	-24.812184995934174	-0.012611501421154598

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes46.0ms (0.8%)

Counts

11 → 3

Calls

Call 1

Inputs
x
x
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 y x) y)
(/.f64 y (/.f64 y x))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 x (/.f64 6 (.f64 y y)))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))

Outputs
(.f64 x (/.f64 6 (.f64 y y)))
x
(.f64 x (/.f64 6 (.f64 y y)))

Calls

2 calls:

20.0ms	x
18.0ms	y

Results

Error	Segments	Branch
25.2b	3	`x`
24.9b	3	`y`

Compiler

Compiled 58 to 33 computations (43.1% saved)

bsearch52.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	0.003935394346914117	3534.423502679324
28.0ms	-24.812184995934174	-0.012611501421154598

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes39.0ms (0.7%)

Counts

8 → 3

Calls

Call 1

Inputs
x
x
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 y x) y)
(/.f64 y (/.f64 y x))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))

Outputs
(/.f64 y (/.f64 y x))
x
(-.f64 (+.f64 1 x) 1)

Calls

2 calls:

16.0ms	x
15.0ms	y

Results

Error	Segments	Branch
25.2b	3	`x`
25.1b	3	`y`

Compiler

Compiled 37 to 23 computations (37.8% saved)

bsearch55.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	3.3684001821670084e+33	1.9516443327648628e+34
30.0ms	-0.012611501421154598	-1.1589295557771032e-12

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes38.0ms (0.7%)

Counts

5 → 3

Calls

Call 1

Inputs
x
x
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 (*.f64 y x) y)

Outputs
(-.f64 (+.f64 1 x) 1)
x
(-.f64 (+.f64 1 x) 1)

Calls

2 calls:

21.0ms	x
16.0ms	y

Results

Error	Segments	Branch
30.4b	5	`x`
25.2b	3	`y`

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch58.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	3.3684001821670084e+33	1.9516443327648628e+34
26.0ms	-1.6750007543737113e+28	-1.9322179212282856e+27

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes8.0ms (0.1%)

Accuracy

Total -29.5b remaining (-90.2%)

Threshold costs -29.5b (-90.2%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
(neg.f64 x)

Outputs
x

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Error	Segments	Branch
32.7b	1	`x`
32.7b	1	`y`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	220
1	71	220
2	72	220

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (/.f64 y (sin.f64 y)))
(if (<=.f64 y -3635017798457237/288230376151711744) (.f64 (sin.f64 y) (/.f64 x y)) (if (<=.f64 y 6699908756459003/1461501637330902918203684832716283019655932542976) x (.f64 (sin.f64 y) (/.f64 x y))))
(if (<=.f64 y -3635017798457237/288230376151711744) (/.f64 (.f64 (sin.f64 y) x) y) (if (<=.f64 y 4286284897852497/55213970774324510299478046898216203619608871777363092441300193790394368) x (/.f64 (.f64 (sin.f64 y) x) y)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(if (<=.f64 y -1746002298467765/70368744177664) (.f64 x (/.f64 6 (.f64 y y))) (if (<=.f64 y 141787524114547/36028797018963968) x (/.f64 1 (.f64 1/6 (.f64 y (/.f64 y x))))))
(if (<=.f64 y -1746002298467765/70368744177664) (.f64 x (/.f64 6 (.f64 y y))) (if (<=.f64 y 141787524114547/36028797018963968) x (.f64 x (/.f64 6 (.f64 y y)))))
(if (<=.f64 y -3635017798457237/288230376151711744) (/.f64 y (/.f64 y x)) (if (<=.f64 y 3368400182167008378808528791404544) x (-.f64 (+.f64 1 x) 1)))
(if (<=.f64 y -16750007543737113190894403584) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y 3368400182167008378808528791404544) x (-.f64 (+.f64 1 x) 1)))
x

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (/.f64 y (sin.f64 y)))
(if (<=.f64 y -3635017798457237/288230376151711744) (.f64 (sin.f64 y) (/.f64 x y)) (if (<=.f64 y 6699908756459003/1461501637330902918203684832716283019655932542976) x (.f64 (sin.f64 y) (/.f64 x y))))
(if (<=.f64 y -3635017798457237/288230376151711744) (/.f64 (.f64 (sin.f64 y) x) y) (if (<=.f64 y 4286284897852497/55213970774324510299478046898216203619608871777363092441300193790394368) x (/.f64 (.f64 (sin.f64 y) x) y)))
(if (<=.f64 y -3635017798457237/288230376151711744) (/.f64 (.f64 x (sin.f64 y)) y) (if (<=.f64 y 4286284897852497/55213970774324510299478046898216203619608871777363092441300193790394368) x (/.f64 (.f64 x (sin.f64 y)) y)))
(/.f64 x (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) y))
(/.f64 x (.f64 y (+.f64 (/.f64 1 y) (.f64 y 1/6))))
(if (<=.f64 y -1746002298467765/70368744177664) (.f64 x (/.f64 6 (.f64 y y))) (if (<=.f64 y 141787524114547/36028797018963968) x (/.f64 1 (.f64 1/6 (.f64 y (/.f64 y x))))))
(if (<=.f64 y -1746002298467765/70368744177664) (.f64 x (/.f64 6 (.f64 y y))) (if (<=.f64 y 141787524114547/36028797018963968) x (.f64 x (/.f64 6 (.f64 y y)))))
(if (<=.f64 y -3635017798457237/288230376151711744) (/.f64 y (/.f64 y x)) (if (<=.f64 y 3368400182167008378808528791404544) x (-.f64 (+.f64 1 x) 1)))
(if (<=.f64 y -3635017798457237/288230376151711744) (/.f64 y (/.f64 y x)) (if (<=.f64 y 3368400182167008378808528791404544) x (+.f64 (+.f64 x 1) -1)))
(if (<=.f64 y -16750007543737113190894403584) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y 3368400182167008378808528791404544) x (-.f64 (+.f64 1 x) 1)))
(if (<=.f64 y -16750007543737113190894403584) (+.f64 (+.f64 x 1) -1) (if (<=.f64 y 3368400182167008378808528791404544) x (+.f64 (+.f64 x 1) -1)))
x

Compiler

Compiled 172 to 106 computations (38.4% saved)

soundness101.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

791×	`associate-/l/_binary64`
597×	`times-frac_binary64`
576×	`fma-def_binary64`
516×	`distribute-rgt-out_binary64`
457×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	296
1	88	292
2	221	283
3	673	281
4	2646	281
5	4770	281
6	6446	281

Stop Event

1×	node limit

Compiler

Compiled 16 to 10 computations (37.5% saved)

end78.0ms (1.4%)

Compiler: Compiled 154 to 83 computations (46.1% saved)