Details

analyze72.0ms (1.4%)

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)

sample1.4s (26.5%)

Results

1.4s	8255×	body	256	valid
0.0ms	1×	body	1024	valid

preprocess32.0ms (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)

simplify14.0ms (0.3%)

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))

eval1.0ms (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)

localize16.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series7.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite91.0ms (1.7%)

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	2318	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 (hypot.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 x y) (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (hypot.f64 1 (sqrt.f64 y))) (/.f64 (cbrt.f64 (+.f64 x y)) (hypot.f64 1 (sqrt.f64 y))))))) (#(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 expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))))) (#(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)))))))

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

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

670×	`unsub-neg_binary64`
628×	`associate-+l-_binary64`
583×	`associate--l+_binary64`
367×	`+-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	2093	350
4	7242	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))
(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 y (*.f64 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 x y)) (-.f64 (/.f64 1 (.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y)))))
(+.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 -1 y))
(+.f64 (/.f64 (+.f64 x -1) y) (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))))
(+.f64 (/.f64 (+.f64 x -1) y) (-.f64 1 (/.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 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (.f64 y y))) (+.f64 1 (/.f64 x 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 x (.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 y)))))
(-.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 -1 y)) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(-.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) (/.f64 (+.f64 x -1) (pow.f64 y 3))) (/.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 x y)) (-.f64 (/.f64 1 (.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 x (.f64 y y)))))
(+.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 -1 y))
(+.f64 (/.f64 (+.f64 x -1) y) (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))))
(+.f64 (/.f64 (+.f64 x -1) y) (-.f64 1 (/.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 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (.f64 y y))) (+.f64 1 (/.f64 x 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 x (.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 y)))))
(-.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 -1 y)) (/.f64 (-.f64 1 x) (pow.f64 y 3)))
(-.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) (/.f64 (+.f64 x -1) (pow.f64 y 3))) (/.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))))

eval14.0ms (0.3%)

Compiler: Compiled 733 to 446 computations (39.2% saved)

prune13.0ms (0.2%)

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
▶	0.2b	(*.f64 (/.f64 1 (+.f64 y 1)) (+.f64 x y))
▶	33.4b	(/.f64 y (+.f64 y 1))
	38.0b	x
▶	30.4b	(/.f64 x (+.f64 y 1))
▶	30.7b	(+.f64 1 (/.f64 (+.f64 x -1) y))
	38.0b	1
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
▶	33.4b	(+.f64 (.f64 y (-.f64 1 x)) (+.f64 (.f64 (pow.f64 y 2) (-.f64 x 1)) x))

Compiler

Compiled 117 to 85 computations (27.4% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 y 1))
✓	0.2b	(*.f64 (/.f64 1 (+.f64 y 1)) (+.f64 x y))

Compiler

Compiled 25 to 15 computations (40% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite78.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`prod-diff_binary64`
439×	`log-prod_binary64`
343×	`pow-prod-down_binary64`
301×	`fma-def_binary64`
238×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	184	17
2	2748	17

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

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

Outputs

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

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

simplify91.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

613×	`associate--l+_binary64`
433×	`+-commutative_binary64`
410×	`fma-neg_binary64`
343×	`sub-neg_binary64`
291×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	586
1	200	577
2	632	529
3	2538	517
4	7908	517

Stop Event

1×	node limit

Counts

144 → 143

Calls

Call 1

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

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

localize19.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite79.0ms (1.5%)

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	1730	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 (neg.f64 (+.f64 y 1))))))) (#(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 (neg.f64 (+.f64 y 1))))))) (#(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 expm1.f64 (log1p.f64 (/.f64 x (+.f64 y 1))))))) (#(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)))))))

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Rules

681×	`associate-/r*_binary64`
512×	`fma-def_binary64`
395×	`associate-/l/_binary64`
393×	`associate-/l*_binary64`
256×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	281
1	83	269
2	221	263
3	732	252
4	3217	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 y (+.f64 y -1)) x)
(*.f64 x (fma.f64 y y (-.f64 1 y)))
(*.f64 x (-.f64 (fma.f64 y y 1) y))
(+.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 y (+.f64 y -1)) x) (.f64 x (pow.f64 y 3)))
(-.f64 x (.f64 y (.f64 x (fma.f64 y y (-.f64 1 y)))))
(.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 (/.f64 x y) (/.f64 x (*.f64 y 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 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(+.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x (pow.f64 y 3))))
(*.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 (/.f64 x y) (/.f64 x (*.f64 y 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 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4)))
(+.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x (pow.f64 y 3))))
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`pow1_binary64`
561×	`log1p-expm1-u_binary64`
561×	`expm1-log1p-u_binary64`
560×	`add-log-exp_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1515	7

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y -1))))) (#(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 expm1.f64 (log1p.f64 (/.f64 y (+.f64 y 1))))))) (#(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)))))))

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

430×	`sub-neg_binary64`
334×	`fma-def_binary64`
282×	`distribute-neg-frac_binary64`
251×	`unsub-neg_binary64`
231×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	143
1	69	138
2	175	134
3	533	131
4	2343	130
5	6325	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)))
(fma.f64 (*.f64 y y) (+.f64 y -1) y)
(fma.f64 y (*.f64 y (+.f64 y -1)) y)
(fma.f64 y (fma.f64 y y (neg.f64 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)))
(-.f64 (fma.f64 (*.f64 y y) (+.f64 y -1) y) (pow.f64 y 4))
(.f64 (fma.f64 y y 1) (-.f64 y (.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 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (*.f64 y 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 1 (+.f64 (/.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))))
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 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (*.f64 y 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 1 (+.f64 (/.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))))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite85.0ms (1.6%)

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	1768	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 expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) y)))))) (#(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)))))))

simplify30.0ms (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	145	159
8	224	159
9	353	159
10	512	159
11	584	159
12	620	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)

localize56.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x)
✓	0.0b	(*.f64 y (-.f64 1 x))
✓	2.6b	(+.f64 (.f64 y (-.f64 1 x)) (+.f64 (.f64 (pow.f64 y 2) (-.f64 x 1)) x))
✓	4.9b	(*.f64 (pow.f64 y 2) (-.f64 x 1))

Compiler

Compiled 51 to 34 computations (33.3% saved)

series11.0ms (0.2%)

Counts

4 → 67

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(+.f64 (.f64 y (-.f64 1 x)) (+.f64 (.f64 (pow.f64 y 2) (-.f64 x 1)) x))
1.0ms	y	@	0	(*.f64 (pow.f64 y 2) (-.f64 x 1))
1.0ms	x	@	-inf	(*.f64 (pow.f64 y 2) (-.f64 x 1))
1.0ms	x	@	0	(*.f64 (pow.f64 y 2) (-.f64 x 1))
0.0ms	y	@	inf	(*.f64 (pow.f64 y 2) (-.f64 x 1))

rewrite121.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`fma-def_binary64`
622×	`log-prod_binary64`
380×	`fma-neg_binary64`
237×	`pow1/3_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	279	46
2	3949	46

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

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

simplify108.0ms (2%)

Algorithm

1×	egg-herbie

Rules

783×	`unsub-neg_binary64`
400×	`sub-neg_binary64`
323×	`neg-mul-1_binary64`
297×	`distribute-rgt-in_binary64`
250×	`associate-+l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	859
1	111	720
2	292	718
3	967	686
4	3003	686
5	6172	686
6	7919	686

Stop Event

1×	node limit

Counts

278 → 244

Calls

Call 1

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

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

eval196.0ms (3.7%)

Compiler: Compiled 8540 to 5355 computations (37.3% saved)

prune96.0ms (1.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	509	8	517
Fresh	2	0	2
Picked	1	0	1
Done	2	3	5
Total	514	11	525

Error

Counts

525 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.2b	(-.f64 y (*.f64 y y))
▶	30.6b	(+.f64 1 (/.f64 x y))
	38.0b	x
	38.0b	1
▶	38.0b	(-.f64 1 (/.f64 1 y))
▶	55.4b	(/.f64 x y)
✓	30.4b	(/.f64 x (+.f64 y 1))
✓	33.4b	(/.f64 y (+.f64 y 1))
	57.8b	y
▶	33.4b	(+.f64 x (.f64 y (.f64 (-.f64 1 x) (-.f64 1 y))))
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 110 to 77 computations (30% saved)

localize5.0ms (0.1%)

Compiler: Compiled 13 to 6 computations (53.8% saved)

localize3.0ms (0.1%)

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

localize6.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite99.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

516×	`pow1_binary64`
499×	`add-sqr-sqrt_binary64`
486×	`add-log-exp_binary64`
486×	`log1p-expm1-u_binary64`
486×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	94	7
2	1421	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

885×	`fma-neg_binary64`
609×	`associate-l_binary64`
455×	`unswap-sqr_binary64`
439×	`cancel-sign-sub-inv_binary64`
417×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	85
1	16	76
2	33	76
3	73	76
4	202	76
5	759	76
6	3579	76

Stop Event

1×	node limit

Counts

50 → 42

Calls

Call 1

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

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 y (-.f64 1 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 y (-.f64 1 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 y (-.f64 1 y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 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 y (-.f64 1 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 y (-.f64 1 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 y (-.f64 1 y))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 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 y (-.f64 1 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 y (-.f64 1 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 y (-.f64 1 y))

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 25 computations (34.2% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite67.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`pow1_binary64`
915×	`add-log-exp_binary64`
915×	`log1p-expm1-u_binary64`
915×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	173	23
2	2372	23

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify86.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

434×	`unsub-neg_binary64`
419×	`fma-def_binary64`
415×	`difference-of-squares_binary64`
354×	`unswap-sqr_binary64`
279×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	700
1	71	610
2	216	512
3	743	504
4	2660	504
5	4941	504
6	6273	504

Stop Event

1×	node limit

Counts

100 → 73

Calls

Call 1

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

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

eval29.0ms (0.5%)

Compiler: Compiled 1560 to 873 computations (44% saved)

prune26.0ms (0.5%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	3	3
Picked	1	0	1
Done	0	7	7
Total	115	11	126

Error

Counts

126 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.2b	(-.f64 y (*.f64 y y))
✓	30.6b	(+.f64 1 (/.f64 x y))
	38.0b	x
	38.0b	1
✓	38.0b	(-.f64 1 (/.f64 1 y))
✓	55.4b	(/.f64 x y)
✓	30.4b	(/.f64 x (+.f64 y 1))
✓	33.4b	(/.f64 y (+.f64 y 1))
	57.8b	y
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
▶	38.5b	(+.f64 x (.f64 y (-.f64 (.f64 y x) x)))

Compiler

Compiled 69 to 47 computations (31.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 y x) x)
✓	0.1b	(.f64 y (-.f64 (.f64 y x) x))

Compiler

Compiled 28 to 6 computations (78.6% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite64.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`pow1_binary64`
684×	`add-log-exp_binary64`
684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
669×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	131	17
2	1843	17

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify101.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

552×	`fma-neg_binary64`
450×	`unsub-neg_binary64`
424×	`fma-def_binary64`
335×	`distribute-rgt-neg-in_binary64`
301×	`difference-of-squares_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	451
1	59	388
2	146	388
3	384	388
4	1283	388
5	2936	388
6	4726	388
7	7311	388

Stop Event

1×	node limit

Counts

105 → 72

Calls

Call 1

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

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

eval29.0ms (0.5%)

Compiler: Compiled 1012 to 392 computations (61.3% saved)

prune39.0ms (0.7%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	7	7
Total	72	11	83

Error

Counts

83 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.2b	(-.f64 y (*.f64 y y))
✓	30.6b	(+.f64 1 (/.f64 x y))
	38.0b	x
	38.0b	1
✓	38.0b	(-.f64 1 (/.f64 1 y))
✓	55.4b	(/.f64 x y)
✓	30.4b	(/.f64 x (+.f64 y 1))
✓	33.4b	(/.f64 y (+.f64 y 1))
	57.8b	y
✓	0.0b	(/.f64 (+.f64 x y) (+.f64 y 1))
✓	38.5b	(+.f64 x (.f64 y (-.f64 (.f64 y x) x)))

Compiler

Compiled 69 to 47 computations (31.9% saved)

regimes73.0ms (1.4%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	x
17.0ms	y
16.0ms	(/.f64 (+.f64 x y) (+.f64 y 1))

Results

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

Compiler

Compiled 108 to 64 computations (40.7% saved)

regimes169.0ms (3.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

122.0ms	x
42.0ms	y

Results

Error	Segments	Branch
14.3b	7	`x`
5.6b	3	`y`

Compiler

Compiled 48 to 28 computations (41.7% saved)

bsearch67.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1277461.1504575794	13950110732.888134
32.0ms	-10710713085907712.0	-189701380128.5569

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes236.0ms (4.4%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

156.0ms	x
76.0ms	y

Results

Error	Segments	Branch
14.3b	7	`x`
5.7b	3	`y`

Compiler

Compiled 41 to 23 computations (43.9% saved)

bsearch41.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1277461.1504575794	13950110732.888134
17.0ms	-10710713085907712.0	-189701380128.5569

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes150.0ms (2.8%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

2 calls:

121.0ms	x
27.0ms	y

Results

Error	Segments	Branch
18.2b	12	`x`
5.5b	4	`y`

Compiler

Compiled 36 to 20 computations (44.4% saved)

bsearch108.0ms (2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
17.0ms	7.44095667816971e-8	2630.227105679203
73.0ms	-3.1848443111114126e-15	-2.7472450799605967e-25
17.0ms	-121030.9277358926	-0.005621910796709889

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes172.0ms (3.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

148.0ms	x
21.0ms	y

Results

Error	Segments	Branch
21.5b	14	`x`
6.5b	3	`y`

Compiler

Compiled 31 to 17 computations (45.2% saved)

bsearch67.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	7.44095667816971e-8	2630.227105679203
34.0ms	-121030.9277358926	-0.005621910796709889

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes170.0ms (3.2%)

Counts

7 → 4

Calls

Call 1

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

Outputs
1
(/.f64 x y)
x
1

Calls

2 calls:

109.0ms	x
58.0ms	y

Results

Error	Segments	Branch
26.7b	7	`x`
13.1b	4	`y`

Compiler

Compiled 21 to 11 computations (47.6% saved)

bsearch119.0ms (2.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
53.0ms	1277461.1504575794	13950110732.888134
34.0ms	-0.005621910796709889	-8.827642331679283e-10
32.0ms	-9.686605761078832e+81	-6.873745201071189e+70

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes113.0ms (2.1%)

Accuracy

Total -48.5b remaining (-340.9%)

Threshold costs -48.5b (-340.9%)

Counts

5 → 3

Calls

Call 1

Inputs
x
1
y
x
1

Outputs
1
x
1

Calls

2 calls:

84.0ms	x
27.0ms	y

Results

Error	Segments	Branch
26.7b	7	`x`
14.2b	3	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch69.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1277461.1504575794	13950110732.888134
34.0ms	-121030.9277358926	-0.005621910796709889

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	187
1	49	187

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y 1))
(if (<=.f64 y -10710713085907712) (+.f64 1 (/.f64 x y)) (if (<=.f64 y 5486653863125839/4294967296) (/.f64 x (+.f64 y 1)) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 y -10710713085907712) (+.f64 1 (/.f64 x y)) (if (<=.f64 y 5486653863125839/4294967296) (/.f64 x (+.f64 y 1)) (+.f64 1 (/.f64 x y))))
(if (<=.f64 y -8317182022883169/68719476736) (+.f64 1 (/.f64 x y)) (if (<=.f64 y -1009317450653461/316912650057057350374175801344) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 5622227906795791/75557863725914323419136) x (+.f64 1 (/.f64 x y)))))
(if (<=.f64 y -8317182022883169/68719476736) (+.f64 1 (/.f64 x y)) (if (<=.f64 y 5622227906795791/75557863725914323419136) x (+.f64 1 (/.f64 x y))))
(if (<=.f64 y -9686605761078831529674396645653590098432105272117012296487819237412236734706483200) 1 (if (<=.f64 y -6481621854508243/1152921504606846976) (/.f64 x y) (if (<=.f64 y 5486653863125839/4294967296) x 1)))
(if (<=.f64 y -8317182022883169/68719476736) 1 (if (<=.f64 y 5486653863125839/4294967296) x 1))
x

Outputs
(/.f64 (+.f64 x y) (+.f64 y 1))
(if (<=.f64 y -10710713085907712) (+.f64 1 (/.f64 x y)) (if (<=.f64 y 5486653863125839/4294967296) (/.f64 x (+.f64 y 1)) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 y -10710713085907712) (+.f64 1 (/.f64 x y)) (if (<=.f64 y 5486653863125839/4294967296) (/.f64 x (+.f64 y 1)) (+.f64 1 (/.f64 x y))))
(if (<=.f64 y -8317182022883169/68719476736) (+.f64 1 (/.f64 x y)) (if (<=.f64 y -1009317450653461/316912650057057350374175801344) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 5622227906795791/75557863725914323419136) x (+.f64 1 (/.f64 x y)))))
(if (<=.f64 y -8317182022883169/68719476736) (+.f64 1 (/.f64 x y)) (if (<=.f64 y 5622227906795791/75557863725914323419136) x (+.f64 1 (/.f64 x y))))
(if (<=.f64 y -9686605761078831529674396645653590098432105272117012296487819237412236734706483200) 1 (if (<=.f64 y -6481621854508243/1152921504606846976) (/.f64 x y) (if (<=.f64 y 5486653863125839/4294967296) x 1)))
(if (<=.f64 y -8317182022883169/68719476736) 1 (if (<=.f64 y 5486653863125839/4294967296) x 1))
x

Compiler

Compiled 148 to 99 computations (33.1% saved)

soundness0.0ms (0%)

end146.0ms (2.8%)

Compiler: Compiled 134 to 81 computations (39.6% 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	145	159
8	224	159
9	353	159
10	512	159
11	584	159
12	620	159

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	145	159
8	224	159
9	353	159
10	512	159
11	584	159
12	620	159

Details

analyze72.0ms (1.4%)

sample1.4s (26.5%)

preprocess32.0ms (0.6%)

simplify14.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.3%)

series7.0ms (0.1%)

rewrite91.0ms (1.7%)

simplify68.0ms (1.3%)

eval14.0ms (0.3%)

prune13.0ms (0.2%)

localize12.0ms (0.2%)

series3.0ms (0.1%)

rewrite78.0ms (1.5%)

simplify91.0ms (1.7%)

localize19.0ms (0.4%)

series6.0ms (0.1%)

rewrite79.0ms (1.5%)

simplify54.0ms (1%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite78.0ms (1.5%)

simplify69.0ms (1.3%)

localize10.0ms (0.2%)

series3.0ms (0.1%)

rewrite85.0ms (1.6%)

simplify30.0ms (0.6%)

localize56.0ms (1%)

series11.0ms (0.2%)

rewrite121.0ms (2.3%)

simplify108.0ms (2%)

eval196.0ms (3.7%)

prune96.0ms (1.8%)

localize5.0ms (0.1%)

localize3.0ms (0.1%)

localize6.0ms (0.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite99.0ms (1.9%)

simplify48.0ms (0.9%)

localize16.0ms (0.3%)

series6.0ms (0.1%)

rewrite67.0ms (1.3%)

simplify86.0ms (1.6%)

eval29.0ms (0.5%)

prune26.0ms (0.5%)

localize8.0ms (0.2%)

series6.0ms (0.1%)

rewrite64.0ms (1.2%)

simplify101.0ms (1.9%)

eval29.0ms (0.5%)

prune39.0ms (0.7%)

regimes73.0ms (1.4%)

regimes169.0ms (3.2%)

bsearch67.0ms (1.3%)

regimes236.0ms (4.4%)

bsearch41.0ms (0.8%)

regimes150.0ms (2.8%)

bsearch108.0ms (2%)

regimes172.0ms (3.2%)

bsearch67.0ms (1.3%)

regimes170.0ms (3.2%)

bsearch119.0ms (2.2%)

regimes113.0ms (2.1%)

bsearch69.0ms (1.3%)

simplify16.0ms (0.3%)

soundness0.0ms (0%)

end146.0ms (2.8%)

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	145	159
8	224	159
9	353	159
10	512	159
11	584	159
12	620	159