Details

analyze89.0ms (2.6%)

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
12.5%	87.4%	0.1%	5
18.7%	81.2%	0.1%	6
46.8%	53.1%	0.1%	7
54.6%	45.3%	0.1%	8
71%	28.9%	0.1%	9
76.1%	23.8%	0.1%	10
84.9%	15%	0.1%	11
87.7%	12.2%	0.1%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample872.0ms (25.1%)

Results

860.0ms

8256×

body

256

valid

preprocess20.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	15	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% 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

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 18 to 9 computations (50% saved)

series8.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (+.f64 x y) (+.f64 y 1))
1.0ms	x	@	0	(/.f64 (+.f64 x y) (+.f64 y 1))
1.0ms	x	@	inf	(/.f64 (+.f64 x y) (+.f64 y 1))
1.0ms	y	@	-inf	(/.f64 (+.f64 x y) (+.f64 y 1))
1.0ms	y	@	inf	(/.f64 (+.f64 x y) (+.f64 y 1))

rewrite49.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`pow1_binary64`
874×	`log1p-expm1-u_binary64`
874×	`expm1-log1p-u_binary64`
873×	`add-log-exp_binary64`
856×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	157	10
2	2307	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify45.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

665×	`unsub-neg_binary64`
621×	`associate-+l-_binary64`
577×	`associate--l+_binary64`
376×	`+-commutative_binary64`
295×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	408
1	155	406
2	498	362
3	2098	350
4	7108	346

Stop Event

1×	node limit

Counts

57 → 56

Calls

Call 1

Inputs
(/.f64 y (+.f64 1 y))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(/.f64 x (+.f64 1 y))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(/.f64 x (+.f64 1 y))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
x
(+.f64 (*.f64 y (-.f64 1 x)) x)
(+.f64 (.f64 y (-.f64 1 x)) (+.f64 (.f64 (pow.f64 y 2) (-.f64 x 1)) x))
(+.f64 (.f64 y (-.f64 1 x)) (+.f64 (.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x)))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 x)) y)))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 x)) (pow.f64 y 3))) (.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))))))

Outputs
(/.f64 y (+.f64 1 y))
(/.f64 y (+.f64 y 1))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 y 1))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 y 1))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
x
(+.f64 (*.f64 y (-.f64 1 x)) x)
(fma.f64 y (-.f64 1 x) x)
(+.f64 (.f64 y (-.f64 1 x)) (+.f64 (.f64 (pow.f64 y 2) (-.f64 x 1)) x))
(fma.f64 y (-.f64 1 x) (fma.f64 (*.f64 y y) (+.f64 x -1) x))
(fma.f64 y (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 x 1)) x))
(+.f64 (.f64 y (-.f64 1 x)) (+.f64 (.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x)))
(fma.f64 y (-.f64 1 x) (fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 (*.f64 y y) (+.f64 x -1) x)))
(+.f64 (fma.f64 (.f64 y y) (+.f64 x -1) x) (.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3))))
(fma.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)) (fma.f64 y (*.f64 y (-.f64 x 1)) x))
(fma.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)) (fma.f64 (*.f64 y y) (+.f64 x -1) x))
1
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y)))))
(+.f64 (/.f64 1 (.f64 y y)) (+.f64 (/.f64 x y) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y))))))
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) (*.f64 y y))))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (.f64 y y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (.f64 y y)) (/.f64 1 (pow.f64 y 3))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y)))) (-.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y))) (/.f64 1 (pow.f64 y 3)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 1 y)))) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(+.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (-.f64 1 (/.f64 (+.f64 x -1) (*.f64 y y)))))
(fma.f64 (/.f64 (-.f64 1 x) y) (+.f64 -1 (/.f64 -1 (.f64 y y))) (-.f64 1 (/.f64 (+.f64 x -1) (.f64 y y))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 x)) y)))
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y)))
(-.f64 1 (/.f64 (-.f64 1 x) y))
(+.f64 1 (/.f64 (+.f64 x -1) y))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y)))))
(+.f64 (/.f64 1 (.f64 y y)) (+.f64 (/.f64 x y) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y))))))
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 1 y))))
(+.f64 1 (-.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) (*.f64 y y))))
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -1 x)) (pow.f64 y 3))) (.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))))))
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (.f64 y y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (.f64 y y)) (/.f64 1 (pow.f64 y 3))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (.f64 y y)))) (-.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y))) (/.f64 1 (pow.f64 y 3)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 1 y)))) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(+.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (-.f64 1 (/.f64 (+.f64 x -1) (*.f64 y y)))))
(fma.f64 (/.f64 (-.f64 1 x) y) (+.f64 -1 (/.f64 -1 (.f64 y y))) (-.f64 1 (/.f64 (+.f64 x -1) (.f64 y y))))

eval16.0ms (0.5%)

Compiler: Compiled 733 to 448 computations (38.9% saved)

prune13.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	49	7	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	8	57

Error

Counts

57 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
	36.3b	x
▶	31.4b	(+.f64 (*.f64 y (-.f64 1 x)) x)
▶	29.1b	(/.f64 x (+.f64 y 1))
▶	32.3b	(+.f64 1 (-.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) (*.f64 y y))))
▶	34.2b	(/.f64 y (+.f64 1 y))
▶	32.0b	(+.f64 1 (/.f64 (+.f64 x -1) y))
	38.8b	1

Compiler

Compiled 113 to 81 computations (28.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 x (+.f64 y 1))
✓	0.0b	(/.f64 x (+.f64 y 1))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`pow1_binary64`
641×	`log1p-expm1-u_binary64`
641×	`expm1-log1p-u_binary64`
640×	`add-log-exp_binary64`
627×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1722	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify33.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

648×	`associate-/r*_binary64`
512×	`fma-def_binary64`
401×	`associate-/l/_binary64`
391×	`associate-/l*_binary64`
257×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	281
1	83	269
2	221	263
3	734	252
4	3159	235

Stop Event

1×	node limit

Counts

57 → 48

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
(/.f64 x (+.f64 1 y))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) x)) (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x)))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))))

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

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 y (+.f64 1 y))
✓	0.0b	(/.f64 y (+.f64 1 y))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`pow1_binary64`
563×	`add-log-exp_binary64`
563×	`log1p-expm1-u_binary64`
563×	`expm1-log1p-u_binary64`
552×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	108	7
2	1493	7

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify45.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

465×	`distribute-rgt-out--_binary64`
429×	`sub-neg_binary64`
335×	`fma-def_binary64`
269×	`distribute-neg-frac_binary64`
250×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	143
1	69	138
2	175	134
3	532	131
4	2248	130
5	6123	130

Stop Event

1×	node limit

Counts

44 → 46

Calls

Call 1

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

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

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 x -1) y)
✓	0.0b	(/.f64 (+.f64 x -1) y)

Compiler

Compiled 21 to 14 computations (33.3% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

739×	`pow1_binary64`
687×	`add-log-exp_binary64`
687×	`log1p-expm1-u_binary64`
687×	`expm1-log1p-u_binary64`
674×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1767	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

95×	`fma-def_binary64`
80×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
28×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	159
1	17	159
2	21	159
3	29	159
4	39	159
5	58	159
6	99	159
7	144	159
8	224	159
9	350	159
10	509	159
11	581	159
12	617	159

Stop Event

1×

saturated

Counts

55 → 36

Calls

Call 1

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

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

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 y (-.f64 1 x)) x)
✓	0.0b	(+.f64 (*.f64 y (-.f64 1 x)) x)

Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0.1%)

Counts

1 → 15

Calls

6 calls:

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

rewrite56.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

847×	`pow1_binary64`
787×	`add-log-exp_binary64`
787×	`log1p-expm1-u_binary64`
787×	`expm1-log1p-u_binary64`
772×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	152	8
2	2080	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify20.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

212×	`fma-neg_binary64`
193×	`fma-def_binary64`
41×	`distribute-rgt-in_binary64`
38×	`associate--r+_binary64`
33×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	142
1	33	102
2	75	102
3	161	102
4	320	102
5	586	102
6	846	102
7	952	102
8	955	102

Stop Event

1×

saturated

Counts

50 → 45

Calls

Call 1

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

Outputs
x
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 x y))
(*.f64 y (-.f64 1 x))
(-.f64 y (*.f64 x y))
y
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 x (-.f64 1 y) y)
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 x (-.f64 1 y) y)
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 x (-.f64 1 y) y)
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 x (-.f64 1 y) y)
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 x (-.f64 1 y) y)
(+.f64 y (.f64 (+.f64 1 (.f64 -1 y)) x))
(+.f64 y (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 x (-.f64 1 y) y)
(.f64 -1 (.f64 (-.f64 y 1) x))
(*.f64 x (+.f64 1 (neg.f64 y)))
(*.f64 x (-.f64 1 y))
(-.f64 x (*.f64 x y))
(+.f64 y (.f64 -1 (.f64 (-.f64 y 1) x)))
(+.f64 y (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 x (-.f64 1 y) y)
(+.f64 y (.f64 -1 (.f64 (-.f64 y 1) x)))
(+.f64 y (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 x (-.f64 1 y) y)
(+.f64 y (.f64 -1 (.f64 (-.f64 y 1) x)))
(+.f64 y (*.f64 x (+.f64 1 (neg.f64 y))))
(fma.f64 x (-.f64 1 y) y)

localize25.0ms (0.7%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.7b	(/.f64 (+.f64 x -1) (*.f64 y y))
	3.3b	(-.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) (*.f64 y y)))
	0.0b	(/.f64 (+.f64 x -1) y)
	0.0b	(/.f64 (+.f64 x -1) y)
✓	3.3b	(-.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) (*.f64 y y)))
✓	3.7b	(/.f64 (+.f64 x -1) (*.f64 y y))

Compiler

Compiled 52 to 29 computations (44.2% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite89.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log-prod_binary64`
433×	`fma-def_binary64`
420×	`pow-prod-down_binary64`
295×	`pow2_binary64`
268×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	212	26
2	3427	26

Stop Event

1×	node limit

Counts

2 → 202

Calls

Call 1

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

Outputs

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

simplify59.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

451×	`fma-neg_binary64`
417×	`fma-def_binary64`
354×	`times-frac_binary64`
320×	`div-sub_binary64`
312×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	30	858
1	69	822
2	160	642
3	452	636
4	1288	636
5	4678	582

Stop Event

1×	node limit

Counts

250 → 222

Calls

Call 1

Inputs
(/.f64 -1 (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 x (pow.f64 y 2))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)) (/.f64 1 y))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)) (/.f64 1 y))
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))) (/.f64 1 y))
(/.f64 (-.f64 1 x) (pow.f64 y 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(/.f64 (-.f64 x 1) y)
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(/.f64 (-.f64 x 1) y)
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))

Outputs
(/.f64 -1 (pow.f64 y 2))
(/.f64 -1 (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2)))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(/.f64 (-.f64 x 1) (pow.f64 y 2))
(/.f64 (+.f64 x -1) (*.f64 y y))
(/.f64 (+.f64 -1 x) (*.f64 y y))
(-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))
(-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))
(*.f64 (/.f64 1 y) (+.f64 -1 (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)) (/.f64 1 y))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)) (/.f64 1 y))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)) (/.f64 1 y))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(fma.f64 x (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)) (/.f64 1 y))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)) (/.f64 1 y))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)) (/.f64 1 y))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(fma.f64 x (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x y) (/.f64 (/.f64 x y) y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))) (/.f64 1 y))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))) (/.f64 1 y))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))) (/.f64 1 y))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(/.f64 (-.f64 1 x) (pow.f64 y 2))
(/.f64 (-.f64 1 x) (*.f64 y y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(/.f64 (-.f64 x 1) y)
(/.f64 (+.f64 x -1) y)
(/.f64 (+.f64 -1 x) y)
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 1 (.f64 y y)) (-.f64 (.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) (/.f64 1 y)))
(+.f64 (/.f64 1 (.f64 y y)) (fma.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))) (/.f64 -1 y)))
(.f64 (-.f64 1 x) (+.f64 (/.f64 1 (.f64 y y)) (/.f64 -1 y)))
(+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (-.f64 1 x) (*.f64 y y)))
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 1 (/.f64 -1 y)))

eval206.0ms (5.9%)

Compiler: Compiled 8412 to 6034 computations (28.3% saved)

prune70.0ms (2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	427	6	433
Fresh	1	1	2
Picked	1	0	1
Done	1	4	5
Total	430	11	441

Error

Counts

441 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.0b	(+.f64 1 (/.f64 x y))
▶	36.5b	(-.f64 x (*.f64 x y))
✓	29.1b	(/.f64 x (+.f64 y 1))
▶	55.9b	(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
	36.3b	x
	38.8b	1
	57.6b	y
✓	31.4b	(+.f64 (*.f64 y (-.f64 1 x)) x)
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
▶	55.4b	(/.f64 x y)
✓	34.2b	(/.f64 y (+.f64 1 y))

Compiler

Compiled 71 to 47 computations (33.8% saved)

localize3.0ms (0.1%)

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

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	6.5b	(/.f64 x (*.f64 y y))
	3.3b	(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
✓	3.3b	(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
✓	6.5b	(/.f64 x (*.f64 y y))

Compiler

Compiled 24 to 6 computations (75% saved)

series14.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	y	@	-inf	(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
1.0ms	x	@	-inf	(/.f64 x (*.f64 y y))
1.0ms	x	@	0	(/.f64 x (*.f64 y y))
0.0ms	x	@	inf	(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
0.0ms	x	@	inf	(/.f64 x (*.f64 y y))

rewrite75.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`log-prod_binary64`
356×	`fma-def_binary64`
347×	`exp-prod_binary64`
339×	`pow-prod-down_binary64`
236×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	167	17
2	2779	17

Stop Event

1×	node limit

Counts

2 → 215

Calls

Call 1

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

Outputs

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

simplify62.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

689×	`div-sub_binary64`
601×	`fma-def_binary64`
516×	`fma-neg_binary64`
465×	`times-frac_binary64`
343×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	521
1	40	521
2	93	521
3	249	458
4	697	458
5	3363	395
6	7159	395

Stop Event

1×	node limit

Counts

263 → 223

Calls

Call 1

Inputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(/.f64 x (pow.f64 y 2))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))

Outputs
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(/.f64 x (pow.f64 y 2))
(/.f64 x (*.f64 y y))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) x)
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x))
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(*.f64 -1 (/.f64 x (pow.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (neg.f64 x) (*.f64 y y))
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))
(.f64 x (-.f64 (/.f64 1 y) (/.f64 1 (.f64 y y))))
(.f64 x (+.f64 (/.f64 1 y) (/.f64 -1 (.f64 y y))))
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
(/.f64 (-.f64 x (/.f64 x y)) y)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (*.f64 x y))
✓	0.0b	(-.f64 x (*.f64 x y))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(-.f64 x (*.f64 x y))
1.0ms	x	@	inf	(-.f64 x (*.f64 x y))
0.0ms	x	@	-inf	(-.f64 x (*.f64 x y))
0.0ms	x	@	0	(-.f64 x (*.f64 x y))
0.0ms	y	@	inf	(-.f64 x (*.f64 x y))

rewrite48.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1644	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 x (*.f64 x y))

Outputs

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

simplify19.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
71×	`fma-neg_binary64`
21×	`cancel-sign-sub-inv_binary64`
19×	`sub-neg_binary64`
17×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	360	160
7	439	160
8	508	160
9	514	160

Stop Event

1×

saturated

Counts

62 → 46

Calls

Call 1

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

Outputs
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 (+.f64 1 (.f64 -1 y)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y x)) x)
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(.f64 -1 (.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))
(+.f64 x (.f64 -1 (.f64 y x)))
(*.f64 (-.f64 1 y) x)
(-.f64 x (*.f64 y x))

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (/.f64 x y))
✓	0.0b	(+.f64 1 (/.f64 x y))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 6

Calls

6 calls:

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

rewrite50.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`pow1_binary64`
649×	`add-log-exp_binary64`
649×	`log1p-expm1-u_binary64`
649×	`expm1-log1p-u_binary64`
636×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1719	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	7	15

Stop Event

1×

saturated

Counts

37 → 33

Calls

Call 1

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

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

eval124.0ms (3.6%)

Compiler: Compiled 4951 to 2136 computations (56.9% saved)

prune49.0ms (1.4%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	3	3
Picked	0	1	1
Done	0	7	7
Total	302	11	313

Error

Counts

313 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.0b	(+.f64 1 (/.f64 x y))
✓	36.5b	(-.f64 x (*.f64 x y))
✓	29.1b	(/.f64 x (+.f64 y 1))
✓	55.9b	(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
	36.3b	x
	38.8b	1
	57.6b	y
✓	31.4b	(+.f64 (*.f64 y (-.f64 1 x)) x)
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
✓	55.4b	(/.f64 x y)
✓	34.2b	(/.f64 y (+.f64 1 y))

Compiler

Compiled 71 to 47 computations (33.8% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	0	0
Done	8	8
Total	11	11

Error

Counts

11 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.0b	(+.f64 1 (/.f64 x y))
✓	36.5b	(-.f64 x (*.f64 x y))
✓	29.1b	(/.f64 x (+.f64 y 1))
✓	55.9b	(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
	36.3b	x
	38.8b	1
	57.6b	y
✓	31.4b	(+.f64 (*.f64 y (-.f64 1 x)) x)
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
✓	55.4b	(/.f64 x y)
✓	34.2b	(/.f64 y (+.f64 1 y))

Compiler

Compiled 71 to 47 computations (33.8% saved)

regimes26.0ms (0.7%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(/.f64 (+.f64 x y) (+.f64 y 1))
8.0ms	x
7.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (+.f64 x y) (+.f64 y 1))`

Compiler

Compiled 66 to 35 computations (47% saved)

regimes145.0ms (4.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

93.0ms	x
50.0ms	y

Results

Error	Segments	Branch
13.3b	7	`x`
5.8b	3	`y`

Compiler

Compiled 34 to 18 computations (47.1% saved)

bsearch34.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	831822.8446492314	75457242.90299867
17.0ms	-240833171788610.2	-0.09928300368790766

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes78.0ms (2.2%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

2 calls:

53.0ms	x
23.0ms	y

Results

Error	Segments	Branch
13.3b	7	`x`
10.9b	5	`y`

Compiler

Compiled 29 to 16 computations (44.8% saved)

bsearch82.0ms (2.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	3.9407502583341623e+120	2.301656340843065e+122
29.0ms	4.143066135889694e+92	1.5794616760096793e+93
16.0ms	8.5311152158769e-7	1.1143222356864514e-5
18.0ms	-240833171788610.2	-0.09928300368790766

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes71.0ms (2.1%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

2 calls:

49.0ms	x
21.0ms	y

Results

Error	Segments	Branch
19.3b	8	`x`
11.4b	5	`y`

Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch92.0ms (2.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	3.9407502583341623e+120	2.301656340843065e+122
33.0ms	4.143066135889694e+92	1.5794616760096793e+93
16.0ms	8.5311152158769e-7	1.1143222356864514e-5
19.0ms	-240833171788610.2	-0.09928300368790766

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes80.0ms (2.3%)

Counts

4 → 5

Calls

Call 1

Inputs
y
1
x
(/.f64 x y)

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

Calls

2 calls:

59.0ms	x
19.0ms	y

Results

Error	Segments	Branch
23.8b	8	`x`
12.0b	5	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch171.0ms (4.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	3.9407502583341623e+120	2.301656340843065e+122
118.0ms	4.143066135889694e+92	1.5794616760096793e+93
16.0ms	8.5311152158769e-7	1.1143222356864514e-5
19.0ms	-240833171788610.2	-0.09928300368790766

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes63.0ms (1.8%)

Counts

3 → 3

Calls

Call 1

Inputs
y
1
x

Outputs
1
x
1

Calls

2 calls:

33.0ms	x
29.0ms	y

Results

Error	Segments	Branch
25.0b	7	`x`
13.5b	3	`y`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch34.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	8.5311152158769e-7	1.1143222356864514e-5
17.0ms	-240833171788610.2	-0.09928300368790766

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes26.0ms (0.7%)

Accuracy

Total -27.4b remaining (-78.9%)

Threshold costs -27.4b (-78.9%)

Counts

2 → 3

Calls

Call 1

Inputs
y
1

Outputs
1
y
1

Calls

2 calls:

21.0ms	y
3.0ms	x

Results

Error	Segments	Branch
38.8b	1	`x`
34.7b	3	`y`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch54.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	0.0027100045923510586	831822.8446492314
17.0ms	-2.7555714327055e-15	-1.820934661576149e-17

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	200
1	47	200

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y 1))
(if (<=.f64 y -3853330748617763/16) (+.f64 1 (/.f64 x y)) (if (<=.f64 y 7145303827668275/8589934592) (/.f64 x (+.f64 y 1)) (+.f64 1 (/.f64 x y))))
(if (<=.f64 y -3853330748617763/16) (/.f64 y (+.f64 1 y)) (if (<=.f64 y 4028705255695631/4722366482869645213696) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 414306613588969427783997407902126350624146206149564307239631301444887857350393564124424437760) (/.f64 y (+.f64 1 y)) (if (<=.f64 y 3940750258334162317239315816903582323796002031750972556022169657093599300198949436623196569118080918477866778135892066304) (/.f64 x y) 1))))
(if (<=.f64 y -3853330748617763/16) (/.f64 y (+.f64 1 y)) (if (<=.f64 y 4028705255695631/4722366482869645213696) x (if (<=.f64 y 414306613588969427783997407902126350624146206149564307239631301444887857350393564124424437760) (/.f64 y (+.f64 1 y)) (if (<=.f64 y 3940750258334162317239315816903582323796002031750972556022169657093599300198949436623196569118080918477866778135892066304) (/.f64 x y) 1))))
(if (<=.f64 y -3853330748617763/16) 1 (if (<=.f64 y 4028705255695631/4722366482869645213696) x (if (<=.f64 y 414306613588969427783997407902126350624146206149564307239631301444887857350393564124424437760) 1 (if (<=.f64 y 3940750258334162317239315816903582323796002031750972556022169657093599300198949436623196569118080918477866778135892066304) (/.f64 x y) 1))))
(if (<=.f64 y -3853330748617763/16) 1 (if (<=.f64 y 4028705255695631/4722366482869645213696) x 1))
(if (<=.f64 y -3493101780640889/1267650600228229401496703205376) 1 (if (<=.f64 y 49990761153677560/18446744073709551616) y 1))
y

Outputs
(/.f64 (+.f64 x y) (+.f64 y 1))
(if (<=.f64 y -3853330748617763/16) (+.f64 1 (/.f64 x y)) (if (<=.f64 y 7145303827668275/8589934592) (/.f64 x (+.f64 y 1)) (+.f64 1 (/.f64 x y))))
(if (<=.f64 y -3853330748617763/16) (/.f64 y (+.f64 1 y)) (if (<=.f64 y 4028705255695631/4722366482869645213696) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 414306613588969427783997407902126350624146206149564307239631301444887857350393564124424437760) (/.f64 y (+.f64 1 y)) (if (<=.f64 y 3940750258334162317239315816903582323796002031750972556022169657093599300198949436623196569118080918477866778135892066304) (/.f64 x y) 1))))
(if (<=.f64 y -3853330748617763/16) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 4028705255695631/4722366482869645213696) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 414306613588969427783997407902126350624146206149564307239631301444887857350393564124424437760) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 3940750258334162317239315816903582323796002031750972556022169657093599300198949436623196569118080918477866778135892066304) (/.f64 x y) 1))))
(if (<=.f64 y -3853330748617763/16) (/.f64 y (+.f64 1 y)) (if (<=.f64 y 4028705255695631/4722366482869645213696) x (if (<=.f64 y 414306613588969427783997407902126350624146206149564307239631301444887857350393564124424437760) (/.f64 y (+.f64 1 y)) (if (<=.f64 y 3940750258334162317239315816903582323796002031750972556022169657093599300198949436623196569118080918477866778135892066304) (/.f64 x y) 1))))
(if (<=.f64 y -3853330748617763/16) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 4028705255695631/4722366482869645213696) x (if (<=.f64 y 414306613588969427783997407902126350624146206149564307239631301444887857350393564124424437760) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 3940750258334162317239315816903582323796002031750972556022169657093599300198949436623196569118080918477866778135892066304) (/.f64 x y) 1))))
(if (<=.f64 y -3853330748617763/16) 1 (if (<=.f64 y 4028705255695631/4722366482869645213696) x (if (<=.f64 y 414306613588969427783997407902126350624146206149564307239631301444887857350393564124424437760) 1 (if (<=.f64 y 3940750258334162317239315816903582323796002031750972556022169657093599300198949436623196569118080918477866778135892066304) (/.f64 x y) 1))))
(if (<=.f64 y -3853330748617763/16) 1 (if (<=.f64 y 4028705255695631/4722366482869645213696) x 1))
(if (<=.f64 y -3493101780640889/1267650600228229401496703205376) 1 (if (<=.f64 y 49990761153677560/18446744073709551616) y 1))
(if (<=.f64 y -3493101780640889/1267650600228229401496703205376) 1 (if (<=.f64 y 6248845144209695/2305843009213693952) y 1))
y

end102.0ms (2.9%)

Stop Event

1×

fuel

Compiler

Compiled 302 to 201 computations (33.4% saved)

Iter	Nodes	Cost
0	11	159
1	17	159
2	21	159
3	29	159
4	39	159
5	58	159
6	99	159
7	144	159
8	224	159
9	350	159
10	509	159
11	581	159
12	617	159

Iter	Nodes	Cost
0	15	142
1	33	102
2	75	102
3	161	102
4	320	102
5	586	102
6	846	102
7	952	102
8	955	102

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	360	160
7	439	160
8	508	160
9	514	160

Iter	Nodes	Cost
0	11	159
1	17	159
2	21	159
3	29	159
4	39	159
5	58	159
6	99	159
7	144	159
8	224	159
9	350	159
10	509	159
11	581	159
12	617	159

Iter	Nodes	Cost
0	15	142
1	33	102
2	75	102
3	161	102
4	320	102
5	586	102
6	846	102
7	952	102
8	955	102

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	360	160
7	439	160
8	508	160
9	514	160

Details

analyze89.0ms (2.6%)

sample872.0ms (25.1%)

preprocess20.0ms (0.6%)

simplify6.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series8.0ms (0.2%)

rewrite49.0ms (1.4%)

simplify45.0ms (1.3%)

eval16.0ms (0.5%)

prune13.0ms (0.4%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite46.0ms (1.3%)

simplify33.0ms (0.9%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite43.0ms (1.2%)

simplify45.0ms (1.3%)

localize9.0ms (0.3%)

series4.0ms (0.1%)

rewrite45.0ms (1.3%)

simplify21.0ms (0.6%)

localize9.0ms (0.3%)

series3.0ms (0.1%)

rewrite56.0ms (1.6%)

simplify20.0ms (0.6%)

localize25.0ms (0.7%)

series8.0ms (0.2%)

rewrite89.0ms (2.6%)

simplify59.0ms (1.7%)

eval206.0ms (5.9%)

prune70.0ms (2%)

localize3.0ms (0.1%)

localize9.0ms (0.2%)

series14.0ms (0.4%)

rewrite75.0ms (2.2%)

simplify62.0ms (1.8%)

localize5.0ms (0.1%)

series5.0ms (0.1%)

rewrite48.0ms (1.4%)

simplify19.0ms (0.6%)

localize5.0ms (0.2%)

series2.0ms (0%)

rewrite50.0ms (1.4%)

simplify7.0ms (0.2%)

eval124.0ms (3.6%)

prune49.0ms (1.4%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes26.0ms (0.7%)

regimes145.0ms (4.2%)

bsearch34.0ms (1%)

regimes78.0ms (2.2%)

bsearch82.0ms (2.4%)

regimes71.0ms (2.1%)

bsearch92.0ms (2.6%)

regimes80.0ms (2.3%)

bsearch171.0ms (4.9%)

regimes63.0ms (1.8%)

bsearch34.0ms (1%)

regimes26.0ms (0.7%)

bsearch54.0ms (1.6%)

simplify5.0ms (0.1%)

end102.0ms (2.9%)

Profiling

Iter	Nodes	Cost
0	11	159
1	17	159
2	21	159
3	29	159
4	39	159
5	58	159
6	99	159
7	144	159
8	224	159
9	350	159
10	509	159
11	581	159
12	617	159

Iter	Nodes	Cost
0	15	142
1	33	102
2	75	102
3	161	102
4	320	102
5	586	102
6	846	102
7	952	102
8	955	102

Iter	Nodes	Cost
0	14	160
1	27	160
2	49	160
3	88	160
4	136	160
5	223	160
6	360	160
7	439	160
8	508	160
9	514	160