Details

analyze113.0ms (2.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	5
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	6
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	7
54.7%	54.6%	45.3%	0.1%	0%	0%	0%	8
71.1%	71%	28.9%	0.1%	0%	0%	0%	9
76.2%	76.1%	23.8%	0.1%	0%	0%	0%	10
85%	84.9%	15%	0.1%	0%	0%	0%	11
87.8%	87.7%	12.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.9s (43%)

Results

1.3s	8253×	body	256	valid
1.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess15.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize7.0ms (0.1%)

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)

series14.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	y	@	0	(/.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	x	@	-inf	(/.f64 (+.f64 x y) (+.f64 y 1))
1.0ms	y	@	inf	(/.f64 (+.f64 x y) (+.f64 y 1))

rewrite66.0ms (1.5%)

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)))))))

simplify58.0ms (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))))

eval16.0ms (0.4%)

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

prune11.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	49	7	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	7	57

Error

Counts

57 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.0b	(+.f64 1 (/.f64 (+.f64 x -1) y))
	34.7b	1
▶	36.8b	(+.f64 (.f64 y (-.f64 1 x)) (+.f64 (.f64 (pow.f64 y 2) (-.f64 x 1)) x))
▶	36.4b	(+.f64 (*.f64 y (-.f64 1 x)) x)
	42.9b	x
▶	34.8b	(/.f64 x (+.f64 y 1))
▶	28.2b	(/.f64 y (+.f64 y 1))

Compiler

Compiled 104 to 75 computations (27.9% saved)

localize8.0ms (0.2%)

Compiler: Compiled 21 to 14 computations (33.3% saved)

localize5.0ms (0.1%)

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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

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)))))))

simplify47.0ms (1.1%)

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))))

localize5.0ms (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)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (1.1%)

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)))))))

simplify61.0ms (1.4%)

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))))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite89.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1510	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify18.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

133×	`fma-def_binary64`
90×	`fma-neg_binary64`
22×	`cancel-sign-sub-inv_binary64`
21×	`associate-r_binary64`
17×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	94
1	13	76
2	30	76
3	46	76
4	64	76
5	128	76
6	253	76
7	359	76
8	457	76
9	533	76

Stop Event

1×

saturated

Counts

29 → 22

Calls

Call 1

Inputs
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)))

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

localize19.0ms (0.4%)

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))
✓	3.5b	(*.f64 (pow.f64 y 2) (-.f64 x 1))
✓	3.9b	(+.f64 (.f64 y (-.f64 1 x)) (+.f64 (.f64 (pow.f64 y 2) (-.f64 x 1)) x))

Compiler

Compiled 51 to 34 computations (33.3% saved)

series7.0ms (0.2%)

Counts

3 → 55

Calls

18 calls:

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

rewrite174.0ms (3.9%)

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	39
1	279	39
2	3948	39

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs

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

simplify95.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

768×	`unsub-neg_binary64`
372×	`sub-neg_binary64`
332×	`neg-mul-1_binary64`
292×	`distribute-rgt-in_binary64`
224×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	713
1	103	644
2	282	642
3	1001	610
4	2937	610
5	6006	610
6	7766	610

Stop Event

1×	node limit

Counts

232 → 205

Calls

Call 1

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

eval207.0ms (4.7%)

Compiler: Compiled 5933 to 3740 computations (37% saved)

prune50.0ms (1.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	336	7	343
Fresh	2	0	2
Picked	1	0	1
Done	1	3	4
Total	340	10	350

Error

Counts

350 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.9b	(-.f64 x (*.f64 x y))
✓	27.0b	(+.f64 1 (/.f64 (+.f64 x -1) y))
▶	56.5b	(-.f64 y (*.f64 y y))
▶	36.3b	(+.f64 y x)
	55.7b	y
	34.7b	1
	42.9b	x
✓	34.8b	(/.f64 x (+.f64 y 1))
▶	54.7b	(/.f64 x y)
✓	28.2b	(/.f64 y (+.f64 y 1))

Compiler

Compiled 56 to 38 computations (32.1% saved)

localize7.0ms (0.2%)

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

localize4.0ms (0.1%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

localize4.0ms (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	@	inf	(-.f64 y (*.f64 y y))
0.0ms	y	@	0	(-.f64 y (*.f64 y y))
0.0ms	y	@	-inf	(-.f64 y (*.f64 y y))

rewrite47.0ms (1.1%)

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)))))))

simplify44.0ms (1%)

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))

localize3.0ms (0.1%)

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

eval7.0ms (0.2%)

Compiler: Compiled 459 to 180 computations (60.8% saved)

prune10.0ms (0.2%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	1	2	3
Picked	0	1	1
Done	0	6	6
Total	42	10	52

Error

Counts

52 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.9b	(-.f64 x (*.f64 x y))
✓	27.0b	(+.f64 1 (/.f64 (+.f64 x -1) y))
✓	56.5b	(-.f64 y (*.f64 y y))
✓	36.3b	(+.f64 y x)
	34.7b	1
	42.9b	x
	55.7b	y
✓	34.8b	(/.f64 x (+.f64 y 1))
✓	54.7b	(/.f64 x y)
✓	28.2b	(/.f64 y (+.f64 y 1))

Compiler

Compiled 56 to 38 computations (32.1% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	0	0
Done	7	7
Total	10	10

Error

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.9b	(-.f64 x (*.f64 x y))
✓	27.0b	(+.f64 1 (/.f64 (+.f64 x -1) y))
✓	56.5b	(-.f64 y (*.f64 y y))
✓	36.3b	(+.f64 y x)
	34.7b	1
	42.9b	x
	55.7b	y
✓	34.8b	(/.f64 x (+.f64 y 1))
✓	54.7b	(/.f64 x y)
✓	28.2b	(/.f64 y (+.f64 y 1))

Compiler

Compiled 56 to 38 computations (32.1% saved)

regimes29.0ms (0.6%)

Counts

16 → 1

Calls

Call 1

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

9.0ms	x
8.0ms	(/.f64 (+.f64 x y) (+.f64 y 1))
8.0ms	y

Results

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

Compiler

Compiled 85 to 49 computations (42.4% saved)

regimes61.0ms (1.4%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	x
21.0ms	y

Results

Error	Segments	Branch
12.9b	5	`x`
0.6b	3	`y`

Compiler

Compiled 54 to 29 computations (46.3% saved)

bsearch32.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	5.814283683468916e-12	264.57252904507214
16.0ms	-26921188.459685884	-1.513357304447594e-5

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes57.0ms (1.3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	x
22.0ms	y

Results

Error	Segments	Branch
12.9b	5	`x`
0.8b	3	`y`

Compiler

Compiled 47 to 25 computations (46.8% saved)

bsearch32.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	5.814283683468916e-12	264.57252904507214
17.0ms	-26921188.459685884	-1.513357304447594e-5

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes55.0ms (1.2%)

Counts

12 → 4

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	y
25.0ms	x

Results

Error	Segments	Branch
14.2b	3	`x`
7.2b	4	`y`

Compiler

Compiled 40 to 20 computations (50% saved)

bsearch50.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
15.0ms	6.062711667077224e-58	4.953222325105773e-25
15.0ms	-6.225369225227472e-12	-3.1295651242616476e-13
19.0ms	-1.082535758722069e+35	-5.409349815213502e+34

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes61.0ms (1.4%)

Counts

11 → 4

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	y
26.0ms	x

Results

Error	Segments	Branch
20.8b	3	`x`
7.4b	4	`y`

Compiler

Compiled 35 to 17 computations (51.4% saved)

bsearch50.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
15.0ms	5.814283683468916e-12	264.57252904507214
20.0ms	-6.225369225227472e-12	-3.1295651242616476e-13
15.0ms	-1.082535758722069e+35	-5.409349815213502e+34

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes106.0ms (2.4%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

2 calls:

75.0ms	x
28.0ms	y

Results

Error	Segments	Branch
25.9b	6	`x`
7.9b	4	`y`

Compiler

Compiled 30 to 14 computations (53.3% saved)

bsearch91.0ms (2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
28.0ms	5.814283683468916e-12	264.57252904507214
33.0ms	-26921188.459685884	-1.513357304447594e-5
29.0ms	-1.082535758722069e+35	-5.409349815213502e+34

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes66.0ms (1.5%)

Counts

7 → 3

Calls

Call 1

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

Outputs
1
(+.f64 y x)
1

Calls

2 calls:

32.0ms	y
31.0ms	x

Results

Error	Segments	Branch
28.5b	3	`x`
9.0b	3	`y`

Compiler

Compiled 17 to 9 computations (47.1% saved)

bsearch61.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	5.814283683468916e-12	264.57252904507214
29.0ms	-26921188.459685884	-1.513357304447594e-5

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes66.0ms (1.5%)

Counts

6 → 3

Calls

Call 1

Inputs
y
y
1
x
1
x

Outputs
1
x
1

Calls

2 calls:

34.0ms	y
29.0ms	x

Results

Error	Segments	Branch
28.8b	3	`x`
15.7b	3	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch53.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	6.062711667077224e-58	4.953222325105773e-25
27.0ms	-26921188.459685884	-1.513357304447594e-5

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes31.0ms (0.7%)

Counts

3 → 3

Calls

Call 1

Inputs
y
y
1

Outputs
1
y
1

Calls

2 calls:

21.0ms	y
8.0ms	x

Results

Error	Segments	Branch
34.7b	1	`x`
28.5b	3	`y`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch60.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	5.814283683468916e-12	264.57252904507214
28.0ms	-17113061551200215000.0	-205115664820.82892

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes15.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
y
y

Outputs
y

Calls

2 calls:

7.0ms	y
7.0ms	x

Results

Error	Segments	Branch
55.7b	1	`x`
55.7b	1	`y`

Compiler

Compiled 10 to 6 computations (40% saved)

simplify34.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	233
1	58	233
2	61	233
3	63	233
4	64	233

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) (+.f64 y 1))
(if (<=.f64 y -3613300750118859/134217728) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 (*.f64 y (-.f64 1 x)) x) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 y -3613300750118859/134217728) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 y x) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 y -108253575872206894008031320609914880) 1 (if (<=.f64 y -3853316911622047/618970019642690137449562112) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 8569507450858447/14134776518227074636666380005943348126619871175004951664972849610340958208) (+.f64 y x) (/.f64 y (+.f64 y 1)))))
(if (<=.f64 y -108253575872206894008031320609914880) 1 (if (<=.f64 y -3853316911622047/618970019642690137449562112) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 y x) 1)))
(if (<=.f64 y -108253575872206894008031320609914880) 1 (if (<=.f64 y -3613300750118859/134217728) (/.f64 x y) (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 y x) 1)))
(if (<=.f64 y -3613300750118859/134217728) 1 (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 y x) 1))
(if (<=.f64 y -3613300750118859/134217728) 1 (if (<=.f64 y 8569507450858447/14134776518227074636666380005943348126619871175004951664972849610340958208) x 1))
(if (<=.f64 y -17113061551200215040) 1 (if (<=.f64 y 7197734571529855/1237940039285380274899124224) y 1))
y

Outputs
(/.f64 (+.f64 x y) (+.f64 y 1))
(if (<=.f64 y -3613300750118859/134217728) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 (*.f64 y (-.f64 1 x)) x) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 y -3613300750118859/134217728) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 x (*.f64 y (-.f64 1 x))) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 y -3613300750118859/134217728) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 y x) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 y -3613300750118859/134217728) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 x y) (+.f64 1 (/.f64 (+.f64 x -1) y))))
(if (<=.f64 y -108253575872206894008031320609914880) 1 (if (<=.f64 y -3853316911622047/618970019642690137449562112) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 8569507450858447/14134776518227074636666380005943348126619871175004951664972849610340958208) (+.f64 y x) (/.f64 y (+.f64 y 1)))))
(if (<=.f64 y -108253575872206894008031320609914880) 1 (if (<=.f64 y -3853316911622047/618970019642690137449562112) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 8569507450858447/14134776518227074636666380005943348126619871175004951664972849610340958208) (+.f64 x y) (/.f64 y (+.f64 y 1)))))
(if (<=.f64 y -108253575872206894008031320609914880) 1 (if (<=.f64 y -3853316911622047/618970019642690137449562112) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 y x) 1)))
(if (<=.f64 y -108253575872206894008031320609914880) 1 (if (<=.f64 y -3853316911622047/618970019642690137449562112) (/.f64 x (+.f64 y 1)) (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 x y) 1)))
(if (<=.f64 y -108253575872206894008031320609914880) 1 (if (<=.f64 y -3613300750118859/134217728) (/.f64 x y) (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 y x) 1)))
(if (<=.f64 y -108253575872206894008031320609914880) 1 (if (<=.f64 y -3613300750118859/134217728) (/.f64 x y) (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 x y) 1)))
(if (<=.f64 y -3613300750118859/134217728) 1 (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 y x) 1))
(if (<=.f64 y -3613300750118859/134217728) 1 (if (<=.f64 y 7197734571529855/1237940039285380274899124224) (+.f64 x y) 1))
(if (<=.f64 y -3613300750118859/134217728) 1 (if (<=.f64 y 8569507450858447/14134776518227074636666380005943348126619871175004951664972849610340958208) x 1))
(if (<=.f64 y -17113061551200215040) 1 (if (<=.f64 y 7197734571529855/1237940039285380274899124224) y 1))
y

Compiler

Compiled 185 to 131 computations (29.2% saved)

soundness0.0ms (0%)

end176.0ms (4%)

Compiler: Compiled 167 to 108 computations (35.3% saved)

Details

analyze113.0ms (2.6%)

sample1.9s (43%)

preprocess15.0ms (0.3%)

simplify6.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series14.0ms (0.3%)

rewrite66.0ms (1.5%)

simplify58.0ms (1.3%)

eval16.0ms (0.4%)

prune11.0ms (0.3%)

localize8.0ms (0.2%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite57.0ms (1.3%)

simplify47.0ms (1.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite49.0ms (1.1%)

simplify61.0ms (1.4%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite89.0ms (2%)

simplify18.0ms (0.4%)

localize19.0ms (0.4%)

series7.0ms (0.2%)

rewrite174.0ms (3.9%)

simplify95.0ms (2.1%)

eval207.0ms (4.7%)

prune50.0ms (1.1%)

localize7.0ms (0.2%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite47.0ms (1.1%)

simplify44.0ms (1%)

localize3.0ms (0.1%)

eval7.0ms (0.2%)

prune10.0ms (0.2%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes29.0ms (0.6%)

regimes61.0ms (1.4%)

bsearch32.0ms (0.7%)

regimes57.0ms (1.3%)

bsearch32.0ms (0.7%)

regimes55.0ms (1.2%)

bsearch50.0ms (1.1%)

regimes61.0ms (1.4%)

bsearch50.0ms (1.1%)

regimes106.0ms (2.4%)

bsearch91.0ms (2%)

regimes66.0ms (1.5%)

bsearch61.0ms (1.4%)

regimes66.0ms (1.5%)

bsearch53.0ms (1.2%)

regimes31.0ms (0.7%)

bsearch60.0ms (1.3%)

regimes15.0ms (0.3%)

simplify34.0ms (0.8%)

soundness0.0ms (0%)

end176.0ms (4%)

Profiling