Details

analyze61.0ms (1.9%)

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)

sample1.1s (32.1%)

Results

1.0s	8255×	body	256	valid
0.0ms	1×	body	1024	valid

Bogosity

preprocess13.0ms (0.4%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
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 1 y))
(/.f64 (-.f64 y x) (-.f64 1 x))

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify79.0ms (2.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

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 1 y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1834×	`rational_best-5`
1832×	`rational_best-4`
1832×	`rational_best-2`
1832×	`rational_best-3`
1832×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	63	19
2	210	19
3	876	19
4	3727	19

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 (-.f64 x y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) (/.f64 (-.f64 x y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 (-.f64 x y) (-.f64 1 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) (/.f64 (-.f64 x y) (-.f64 1 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 (-.f64 x y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) (/.f64 (-.f64 x y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (*.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))) (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 (-.f64 x y) (-.f64 1 y))) (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) (/.f64 (-.f64 x y) (-.f64 1 y))) (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 1)))))

simplify236.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1636×	`rational_best-simplify-132`
1276×	`rational_best-simplify-54`
794×	`rational_best-simplify-1`
718×	`rational_best-simplify-80`
714×	`rational_best-simplify-24`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	94	1289
1	197	1227
2	396	1185
3	1218	1185
4	3711	1185
5	7650	1169

Stop Event

1×	node limit

Counts

41 → 73

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
x
(+.f64 (.f64 -1 (.f64 y (+.f64 1 (*.f64 -1 x)))) x)
(+.f64 (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 x)))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 1 (.f64 -1 x)))) x))
(+.f64 (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 x)))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 1 (.f64 -1 x)))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x)))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 x y))))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 x 1) y)) (.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 0)
(+.f64 0 (/.f64 (-.f64 x y) (-.f64 1 y)))
(-.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 0)
(*.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
(*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 1)
(*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
(.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 (-.f64 x y) (-.f64 1 y)))
(.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) (/.f64 (-.f64 x y) (-.f64 1 y)))
(.f64 (/.f64 1 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (*.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 (-.f64 x y) (-.f64 1 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) (/.f64 (-.f64 x y) (-.f64 1 y))) (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 1)

Outputs
(*.f64 -1 (/.f64 y (-.f64 1 y)))
(neg.f64 (/.f64 y (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (/.f64 x (-.f64 1 y)) (*.f64 -1 (/.f64 y (-.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(+.f64 (neg.f64 (/.f64 y (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
x
(+.f64 (.f64 -1 (.f64 y (+.f64 1 (*.f64 -1 x)))) x)
(+.f64 x (.f64 -1 (.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 x (neg.f64 (*.f64 y (+.f64 1 (neg.f64 x)))))
(+.f64 x (*.f64 (+.f64 1 (neg.f64 x)) (neg.f64 y)))
(+.f64 x (*.f64 y (-.f64 -1 (neg.f64 x))))
(+.f64 (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 x)))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 1 (.f64 -1 x)))) x))
(+.f64 (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 x)))) (+.f64 x (.f64 -1 (.f64 (+.f64 1 (.f64 -1 x)) (pow.f64 y 2)))))
(+.f64 x (.f64 -1 (+.f64 (.f64 y (+.f64 1 (neg.f64 x))) (*.f64 (+.f64 1 (neg.f64 x)) (pow.f64 y 2)))))
(+.f64 x (*.f64 (neg.f64 (+.f64 1 (neg.f64 x))) (+.f64 (pow.f64 y 2) y)))
(+.f64 x (neg.f64 (*.f64 (+.f64 1 (neg.f64 x)) (+.f64 y (pow.f64 y 2)))))
(+.f64 x (*.f64 (-.f64 -1 (neg.f64 x)) (+.f64 y (pow.f64 y 2))))
(+.f64 (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 x)))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (+.f64 1 (.f64 -1 x)))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x)))
(+.f64 (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 x)))) (+.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 x)) (pow.f64 y 2))) (+.f64 x (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 3))))))
(+.f64 (+.f64 x (neg.f64 (.f64 (+.f64 1 (neg.f64 x)) (pow.f64 y 3)))) (.f64 -1 (+.f64 (.f64 y (+.f64 1 (neg.f64 x))) (.f64 (+.f64 1 (neg.f64 x)) (pow.f64 y 2)))))
(+.f64 x (+.f64 (neg.f64 (.f64 (+.f64 1 (neg.f64 x)) (pow.f64 y 3))) (.f64 (neg.f64 (+.f64 1 (neg.f64 x))) (+.f64 (pow.f64 y 2) y))))
(+.f64 x (+.f64 (.f64 (+.f64 1 (neg.f64 x)) (neg.f64 (pow.f64 y 3))) (neg.f64 (.f64 (+.f64 1 (neg.f64 x)) (+.f64 y (pow.f64 y 2))))))
(+.f64 (+.f64 x (.f64 (pow.f64 y 3) (-.f64 -1 (neg.f64 x)))) (.f64 (-.f64 -1 (neg.f64 x)) (+.f64 y (pow.f64 y 2))))
1
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y))))
(+.f64 (neg.f64 (/.f64 x y)) (+.f64 1 (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 1 (neg.f64 (/.f64 x y))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 x y))))))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2)))))))
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2)))) (+.f64 1 (/.f64 1 (pow.f64 y 2)))))
(+.f64 1 (+.f64 (neg.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 y) (neg.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2)))))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y))))))))
(+.f64 (/.f64 1 y) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 1 (pow.f64 y 3))))))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (pow.f64 y 3)))))
(+.f64 (+.f64 (neg.f64 (/.f64 x (pow.f64 y 3))) (+.f64 (neg.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2)))) (/.f64 1 (pow.f64 y 3)))) (+.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)))
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (+.f64 1 (neg.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))) (+.f64 (/.f64 1 (pow.f64 y 3)) (neg.f64 (/.f64 x (pow.f64 y 3)))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (pow.f64 y 3)))) (+.f64 (neg.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 x -1) y)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 -1 x) y)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 x 1) y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 x -1) y)))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 1 (+.f64 (neg.f64 (/.f64 (+.f64 -1 x) y)) (/.f64 1 (pow.f64 y 2)))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 2)) (neg.f64 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 2)) (neg.f64 (/.f64 (+.f64 -1 x) y)))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (-.f64 x 1) y)) (.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (/.f64 (+.f64 x -1) y))))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 (*.f64 -1 (+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (+.f64 -1 x) (pow.f64 y 3)))) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (neg.f64 (+.f64 (/.f64 (-.f64 x 1) y) (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (neg.f64 (+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (+.f64 -1 x) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2)))
(-.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (+.f64 -1 x) y) (/.f64 (+.f64 -1 x) (pow.f64 y 3)))) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) (/.f64 x (pow.f64 y 2)))
(+.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 0)
(/.f64 (-.f64 x y) (-.f64 1 y))
(+.f64 0 (/.f64 (-.f64 x y) (-.f64 1 y)))
(/.f64 (-.f64 x y) (-.f64 1 y))
(-.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 0)
(/.f64 (-.f64 x y) (-.f64 1 y))
(*.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
(/.f64 (-.f64 x y) (-.f64 1 y))
(*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 1)
(/.f64 (-.f64 x y) (-.f64 1 y))
(*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
(/.f64 (-.f64 x y) (-.f64 1 y))
(.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
(/.f64 (-.f64 x y) (-.f64 1 y))
(*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))))
(/.f64 (-.f64 x y) (-.f64 1 y))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (-.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 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
(/.f64 (-.f64 x y) (-.f64 1 y))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
(/.f64 (-.f64 x y) (-.f64 1 y))
(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) (/.f64 (-.f64 x y) (-.f64 1 y)))
(/.f64 (-.f64 x y) (-.f64 1 y))
(.f64 (/.f64 1 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (*.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))
(/.f64 (-.f64 x y) (-.f64 1 y))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))))
(/.f64 (-.f64 x y) (-.f64 1 y))
(.f64 (/.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))) (/.f64 (-.f64 x y) (-.f64 1 y))) (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
(/.f64 (-.f64 x y) (-.f64 1 y))
(.f64 (/.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) (/.f64 (-.f64 x y) (-.f64 1 y))) (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
(/.f64 (-.f64 x y) (-.f64 1 y))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 1)
(/.f64 (-.f64 x y) (-.f64 1 y))

eval178.0ms (5.4%)

Compiler: Compiled 1487 to 977 computations (34.3% saved)

prune12.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	6	74

Error

Counts

74 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
▶	35.7b	(/.f64 x (-.f64 1 y))
▶	35.1b	(+.f64 x (*.f64 y (-.f64 -1 (neg.f64 x))))
▶	27.2b	(neg.f64 (/.f64 y (-.f64 1 y)))
	42.9b	x
	35.1b	1

Compiler

Compiled 40 to 29 computations (27.5% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite75.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`rational_best-5`
1316×	`rational_best-4`
1316×	`rational_best-2`
1316×	`rational_best-3`
1316×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	47	13
2	153	13
3	630	13
4	2668	13

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (-.f64 1 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (-.f64 1 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (-.f64 1 y)) (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (-.f64 1 y)) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) 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(/.f64 (/.f64 1 (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))) (.f64 (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 y (-.f64 1 y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (-.f64 1 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (-.f64 1 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 y)) (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 y)) (*.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 y (-.f64 1 y)))))) (#(struct:change #<rule 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simplify197.0ms (6%)

Algorithm

1×	egg-herbie

Rules

972×	`rational_best-simplify-2`
642×	`rational_best-simplify-80`
582×	`rational_best-simplify-49`
566×	`rational_best-simplify-78`
550×	`rational_best-simplify-50`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	691
1	179	691
2	409	683
3	1461	683
4	2943	675
5	5753	675

Stop Event

1×	node limit

Counts

43 → 53

Calls

Call 1

Inputs
y
(+.f64 y (pow.f64 y 2))
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(+.f64 0 (/.f64 y (-.f64 1 y)))
(-.f64 (/.f64 y (-.f64 1 y)) 0)
(-.f64 0 (neg.f64 (/.f64 y (-.f64 1 y))))
(*.f64 1 (/.f64 y (-.f64 1 y)))
(*.f64 (/.f64 y (-.f64 1 y)) 1)
(*.f64 (/.f64 y (-.f64 1 y)) (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))
(.f64 (/.f64 y (-.f64 1 y)) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 y (-.f64 1 y)))))
(*.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(*.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 y (-.f64 1 y)))
(.f64 (/.f64 1 (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))
(.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 1 (/.f64 y (-.f64 1 y))))
(.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 y (-.f64 1 y))))
(.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 (*.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y))))
(.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y)))
(*.f64 (/.f64 1 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y)))
(.f64 (/.f64 1 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))))
(.f64 (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (/.f64 (/.f64 1 (/.f64 y (-.f64 1 y))) (*.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(.f64 (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (/.f64 (/.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 y (-.f64 1 y))) (*.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(.f64 (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (/.f64 (/.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))) (/.f64 1 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(.f64 (/.f64 (/.f64 1 (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (*.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(.f64 (/.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))
(.f64 (/.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y))) (*.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))
(.f64 (.f64 (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))) (/.f64 (/.f64 (/.f64 1 (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (*.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(.f64 (/.f64 (/.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(.f64 (/.f64 (/.f64 (/.f64 1 (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))) (.f64 (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))
(pow.f64 (/.f64 y (-.f64 1 y)) 1)
(neg.f64 (neg.f64 (/.f64 y (-.f64 1 y))))

Outputs
y
(+.f64 y (pow.f64 y 2))
(+.f64 (pow.f64 y 3) (+.f64 y (pow.f64 y 2)))
(+.f64 (+.f64 y (pow.f64 y 2)) (pow.f64 y 3))
(+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 3)))
(+.f64 (pow.f64 y 3) (+.f64 y (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
(+.f64 (+.f64 y (pow.f64 y 2)) (+.f64 (pow.f64 y 4) (pow.f64 y 3)))
(+.f64 y (+.f64 (pow.f64 y 3) (+.f64 (pow.f64 y 2) (pow.f64 y 4))))
(+.f64 y (+.f64 (pow.f64 y 4) (+.f64 (pow.f64 y 2) (pow.f64 y 3))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 1 (/.f64 1 y)))
(-.f64 -1 (/.f64 1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))))
(-.f64 -1 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))))
-1
(neg.f64 (+.f64 (/.f64 1 y) 1))
(neg.f64 (+.f64 1 (/.f64 1 y)))
(-.f64 -1 (/.f64 1 y))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2)))))
(-.f64 -1 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 (pow.f64 y 3)))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))))
(+.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(+.f64 0 (/.f64 y (-.f64 1 y)))
(/.f64 y (-.f64 1 y))
(-.f64 (/.f64 y (-.f64 1 y)) 0)
(/.f64 y (-.f64 1 y))
(-.f64 0 (neg.f64 (/.f64 y (-.f64 1 y))))
(/.f64 y (-.f64 1 y))
(*.f64 1 (/.f64 y (-.f64 1 y)))
(/.f64 y (-.f64 1 y))
(*.f64 (/.f64 y (-.f64 1 y)) 1)
(/.f64 y (-.f64 1 y))
(*.f64 (/.f64 y (-.f64 1 y)) (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))
(/.f64 y (-.f64 1 y))
(.f64 (/.f64 y (-.f64 1 y)) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 y (-.f64 1 y)))))
(/.f64 y (-.f64 1 y))
(*.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(/.f64 y (-.f64 1 y))
(*.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 y (-.f64 1 y)))
(/.f64 y (-.f64 1 y))
(.f64 (/.f64 1 (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))
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(.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 1 (/.f64 y (-.f64 1 y))))
(/.f64 y (-.f64 1 y))
(.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 y (-.f64 1 y))))
(/.f64 y (-.f64 1 y))
(.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 (*.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y))))
(/.f64 y (-.f64 1 y))
(.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y)))
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(*.f64 (/.f64 1 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y)))
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(.f64 (/.f64 1 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))))
(/.f64 y (-.f64 1 y))
(.f64 (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (/.f64 (/.f64 1 (/.f64 y (-.f64 1 y))) (*.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(/.f64 y (-.f64 1 y))
(.f64 (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (/.f64 (/.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 y (-.f64 1 y))) (*.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(/.f64 y (-.f64 1 y))
(.f64 (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (/.f64 (/.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(/.f64 y (-.f64 1 y))
(.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))) (/.f64 1 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(/.f64 y (-.f64 1 y))
(.f64 (/.f64 (/.f64 1 (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (*.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(/.f64 y (-.f64 1 y))
(.f64 (/.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))
(/.f64 y (-.f64 1 y))
(.f64 (/.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y))) (*.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))
(/.f64 y (-.f64 1 y))
(.f64 (.f64 (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))) (/.f64 (/.f64 (/.f64 1 (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))))
(/.f64 y (-.f64 1 y))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (*.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(/.f64 y (-.f64 1 y))
(.f64 (/.f64 (/.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 1 (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))))
(/.f64 y (-.f64 1 y))
(.f64 (/.f64 (/.f64 (/.f64 1 (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))) (.f64 (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (.f64 (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))))
(/.f64 y (-.f64 1 y))
(.f64 (/.f64 (/.f64 1 (/.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y)))) (/.f64 y (-.f64 1 y))) (.f64 (/.f64 y (-.f64 1 y)) (/.f64 y (-.f64 1 y))))
(/.f64 y (-.f64 1 y))
(pow.f64 (/.f64 y (-.f64 1 y)) 1)
(/.f64 y (-.f64 1 y))
(neg.f64 (neg.f64 (/.f64 y (-.f64 1 y))))
(/.f64 y (-.f64 1 y))

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite82.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2010×	`rational_best-2`
2010×	`rational_best-1`
2008×	`rational_best-5`
2006×	`rational_best-4`
2006×	`rational_best-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	77	13
2	250	13
3	970	13
4	4167	13

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (+.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 -1 x)) (/.f64 (*.f64 y (+.f64 -1 x)) (*.f64 y (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (+.f64 x x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 -1 x)) 1)))))

simplify168.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1760×	`rational_best-simplify-80`
1346×	`rational_best-simplify-78`
1074×	`rational_best-simplify-44`
1032×	`rational_best-simplify-132`
876×	`rational_best-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	397
1	40	395
2	77	395
3	206	395
4	838	395
5	2588	395
6	4622	395
7	6876	395

Stop Event

1×	node limit

Counts

31 → 14

Calls

Call 1

Inputs
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 -1 y)
(+.f64 (.f64 y x) (.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 y))
(+.f64 (*.f64 y (+.f64 -1 x)) 0)
(+.f64 0 (*.f64 y (+.f64 -1 x)))
(-.f64 (*.f64 y (+.f64 -1 x)) 0)
(/.f64 (*.f64 y (+.f64 -1 x)) 1)
(/.f64 (.f64 y (+.f64 -1 x)) (/.f64 (.f64 y (+.f64 -1 x)) (*.f64 y (+.f64 -1 x))))
(/.f64 (*.f64 y (-.f64 (+.f64 x x) 2)) 2)
(pow.f64 (*.f64 y (+.f64 -1 x)) 1)

Outputs
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(*.f64 -1 y)
(*.f64 y -1)
(neg.f64 y)
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(+.f64 (.f64 y x) (.f64 -1 y))
(*.f64 y (+.f64 x -1))
(+.f64 (*.f64 y (+.f64 -1 x)) 0)
(*.f64 y (+.f64 x -1))
(+.f64 0 (*.f64 y (+.f64 -1 x)))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y (+.f64 -1 x)) 0)
(*.f64 y (+.f64 x -1))
(/.f64 (*.f64 y (+.f64 -1 x)) 1)
(*.f64 y (+.f64 x -1))
(/.f64 (.f64 y (+.f64 -1 x)) (/.f64 (.f64 y (+.f64 -1 x)) (*.f64 y (+.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(/.f64 (*.f64 y (-.f64 (+.f64 x x) 2)) 2)
(pow.f64 (*.f64 y (+.f64 -1 x)) 1)
(*.f64 y (+.f64 x -1))

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite74.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`rational_best-5`
1566×	`rational_best-4`
1566×	`rational_best-2`
1566×	`rational_best-3`
1566×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	55	13
2	180	13
3	744	13
4	3169	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 1 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 1 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 y)) (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 y)) (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 x (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (-.f64 1 y))) (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 1 (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 x (-.f64 1 y)))) (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 x (-.f64 1 y)))) (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))) (/.f64 x (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))) (*.f64 (/.f64 x (-.f64 1 y)) (*.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 y)) (*.f64 (/.f64 x (-.f64 1 y)) (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))) (/.f64 (/.f64 1 (/.f64 x (-.f64 1 y))) (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 1 y)) (*.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))) (/.f64 1 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 x (-.f64 1 y))) (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))) (*.f64 (/.f64 x (-.f64 1 y)) (*.f64 (/.f64 x (-.f64 1 y)) (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 x (-.f64 1 y))) (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 x (-.f64 1 y)))) (/.f64 x (-.f64 1 y))) (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 x (-.f64 1 y))))))))

simplify156.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1094×	`rational_best-simplify-2`
898×	`rational_best-simplify-80`
802×	`rational_best-simplify-78`
748×	`rational_best-simplify-94`
660×	`rational_best-simplify-129`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	73	762
1	130	718
2	289	706
3	1062	702
4	2256	698
5	4195	698

Stop Event

1×	node limit

Counts

36 → 55

Calls

Call 1

Inputs
x
(+.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) x) x))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x)))
(*.f64 -1 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))))
(*.f64 -1 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))))
(+.f64 (/.f64 x (-.f64 1 y)) 0)
(+.f64 0 (/.f64 x (-.f64 1 y)))
(-.f64 (/.f64 x (-.f64 1 y)) 0)
(-.f64 0 (neg.f64 (/.f64 x (-.f64 1 y))))
(*.f64 1 (/.f64 x (-.f64 1 y)))
(*.f64 (/.f64 x (-.f64 1 y)) 1)
(*.f64 (/.f64 x (-.f64 1 y)) (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))
(.f64 (/.f64 x (-.f64 1 y)) (.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 x (-.f64 1 y)))))
(*.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))))
(*.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(.f64 (/.f64 1 (/.f64 x (-.f64 1 y))) (.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))
(.f64 (.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 1 (/.f64 x (-.f64 1 y))))
(.f64 (.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 x (-.f64 1 y))))
(.f64 (.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 x (-.f64 1 y)))) (/.f64 x (-.f64 1 y))))
(.f64 (.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 x (-.f64 1 y)))) (/.f64 x (-.f64 1 y)))
(*.f64 (/.f64 1 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))) (/.f64 x (-.f64 1 y)))
(.f64 (/.f64 1 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))) (.f64 (/.f64 x (-.f64 1 y)) (*.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))))
(.f64 (.f64 (/.f64 x (-.f64 1 y)) (.f64 (/.f64 x (-.f64 1 y)) (.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))) (/.f64 (/.f64 1 (/.f64 x (-.f64 1 y))) (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))))
(.f64 (.f64 (/.f64 x (-.f64 1 y)) (*.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))) (/.f64 1 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))))
(.f64 (/.f64 (/.f64 1 (/.f64 x (-.f64 1 y))) (.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))) (.f64 (/.f64 x (-.f64 1 y)) (.f64 (/.f64 x (-.f64 1 y)) (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))))
(.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 x (-.f64 1 y))) (.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))
(.f64 (/.f64 (.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 x (-.f64 1 y)))) (/.f64 x (-.f64 1 y))) (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))
(pow.f64 (/.f64 x (-.f64 1 y)) 1)
(neg.f64 (neg.f64 (/.f64 x (-.f64 1 y))))

Outputs
x
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 x y))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) x) x))
(+.f64 x (+.f64 (.f64 x (pow.f64 y 2)) (.f64 x y)))
(+.f64 x (*.f64 x (+.f64 y (pow.f64 y 2))))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x)))
(+.f64 (.f64 x y) (+.f64 (.f64 x (pow.f64 y 2)) (+.f64 x (*.f64 x (pow.f64 y 3)))))
(+.f64 (+.f64 x (.f64 x (pow.f64 y 3))) (.f64 x (+.f64 y (pow.f64 y 2))))
(+.f64 (+.f64 x (.f64 x y)) (.f64 x (+.f64 (pow.f64 y 2) (pow.f64 y 3))))
(+.f64 x (+.f64 (.f64 x y) (.f64 x (+.f64 (pow.f64 y 2) (pow.f64 y 3)))))
(+.f64 x (+.f64 (.f64 x (pow.f64 y 3)) (.f64 x (+.f64 y (pow.f64 y 2)))))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(*.f64 -1 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2)))) (.f64 -1 (/.f64 x (pow.f64 y 3))))
(*.f64 -1 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))) (/.f64 x (pow.f64 y 3))))
(*.f64 -1 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))))
(+.f64 (.f64 -1 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2)))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 4)))))
(+.f64 (*.f64 -1 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))) (/.f64 x (pow.f64 y 3)))) (neg.f64 (/.f64 x (pow.f64 y 4))))
(*.f64 -1 (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x (pow.f64 y 3))))))
(*.f64 -1 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))))
(neg.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))
(*.f64 -1 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))
(neg.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))
(+.f64 (.f64 -1 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2)))) (.f64 -1 (/.f64 x (pow.f64 y 3))))
(*.f64 -1 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))) (/.f64 x (pow.f64 y 3))))
(*.f64 -1 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x (pow.f64 y 3)))))
(neg.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 2))) (.f64 -1 (/.f64 x y)))))
(+.f64 (.f64 -1 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2)))) (+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 4)))))
(+.f64 (*.f64 -1 (+.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))) (/.f64 x (pow.f64 y 3)))) (neg.f64 (/.f64 x (pow.f64 y 4))))
(*.f64 -1 (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 x (pow.f64 y 3))))))
(*.f64 -1 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))))
(neg.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))))))
(neg.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 2))))))
(+.f64 (/.f64 x (-.f64 1 y)) 0)
(/.f64 x (-.f64 1 y))
(+.f64 0 (/.f64 x (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(-.f64 (/.f64 x (-.f64 1 y)) 0)
(/.f64 x (-.f64 1 y))
(-.f64 0 (neg.f64 (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(*.f64 1 (/.f64 x (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(*.f64 (/.f64 x (-.f64 1 y)) 1)
(/.f64 x (-.f64 1 y))
(*.f64 (/.f64 x (-.f64 1 y)) (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(.f64 (/.f64 x (-.f64 1 y)) (.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 x (-.f64 1 y)))))
(/.f64 x (-.f64 1 y))
(*.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))))
(/.f64 x (-.f64 1 y))
(*.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 x (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(.f64 (/.f64 1 (/.f64 x (-.f64 1 y))) (.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(.f64 (.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 1 (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(.f64 (.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(.f64 (.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 x (-.f64 1 y)))) (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(.f64 (.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 x (-.f64 1 y)))) (/.f64 x (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(*.f64 (/.f64 1 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))) (/.f64 x (-.f64 1 y)))
(/.f64 x (-.f64 1 y))
(.f64 (/.f64 1 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))) (.f64 (/.f64 x (-.f64 1 y)) (*.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))))
(/.f64 x (-.f64 1 y))
(.f64 (.f64 (/.f64 x (-.f64 1 y)) (.f64 (/.f64 x (-.f64 1 y)) (.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))) (/.f64 (/.f64 1 (/.f64 x (-.f64 1 y))) (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))))
(/.f64 x (-.f64 1 y))
(.f64 (.f64 (/.f64 x (-.f64 1 y)) (*.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))) (/.f64 1 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))))
(/.f64 x (-.f64 1 y))
(.f64 (/.f64 (/.f64 1 (/.f64 x (-.f64 1 y))) (.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y)))) (.f64 (/.f64 x (-.f64 1 y)) (.f64 (/.f64 x (-.f64 1 y)) (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))))
(/.f64 x (-.f64 1 y))
(.f64 (/.f64 (/.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))) (/.f64 x (-.f64 1 y))) (.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(.f64 (/.f64 (.f64 (/.f64 x (-.f64 1 y)) (/.f64 1 (/.f64 x (-.f64 1 y)))) (/.f64 x (-.f64 1 y))) (*.f64 (/.f64 x (-.f64 1 y)) (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))
(pow.f64 (/.f64 x (-.f64 1 y)) 1)
(/.f64 x (-.f64 1 y))
(neg.f64 (neg.f64 (/.f64 x (-.f64 1 y))))
(/.f64 x (-.f64 1 y))

eval121.0ms (3.7%)

Compiler: Compiled 2282 to 1526 computations (33.1% saved)

prune19.0ms (0.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	2	2
Picked	0	1	1
Done	1	2	3
Total	119	9	128

Error

Counts

128 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
✓	35.7b	(/.f64 x (-.f64 1 y))
▶	43.1b	(+.f64 (*.f64 y x) x)
▶	34.9b	(+.f64 x (neg.f64 y))
✓	27.2b	(neg.f64 (/.f64 y (-.f64 1 y)))
▶	55.5b	(neg.f64 (/.f64 x y))
▶	54.3b	(neg.f64 y)
	42.9b	x
	35.1b	1

Compiler

Compiled 53 to 37 computations (30.2% saved)

localize2.0ms (0.1%)

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

localize4.0ms (0.1%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

localize4.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize4.0ms (0.1%)

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

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	6	6
Total	9	9

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
✓	35.7b	(/.f64 x (-.f64 1 y))
✓	43.1b	(+.f64 (*.f64 y x) x)
✓	34.9b	(+.f64 x (neg.f64 y))
✓	27.2b	(neg.f64 (/.f64 y (-.f64 1 y)))
✓	55.5b	(neg.f64 (/.f64 x y))
✓	54.3b	(neg.f64 y)
	42.9b	x
	35.1b	1

Compiler

Compiled 53 to 37 computations (30.2% saved)

eval0.0ms (0%)

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

prune6.0ms (0.2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	7	7
Total	9	9

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
✓	35.7b	(/.f64 x (-.f64 1 y))
✓	43.1b	(+.f64 (*.f64 y x) x)
✓	34.9b	(+.f64 x (neg.f64 y))
✓	27.2b	(neg.f64 (/.f64 y (-.f64 1 y)))
✓	55.5b	(neg.f64 (/.f64 x y))
✓	54.3b	(neg.f64 y)
	42.9b	x
	35.1b	1

Compiler

Compiled 53 to 37 computations (30.2% saved)

regimes21.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
6.0ms	y
5.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Results

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

Compiler

Compiled 60 to 35 computations (41.7% saved)

regimes66.0ms (2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

49.0ms	x
16.0ms	y

Results

Error	Segments	Branch
10.2b	9	`x`
7.8b	3	`y`

Compiler

Compiled 36 to 20 computations (44.4% saved)

bsearch24.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	1.8616468093278303e-9	1.3785697458570257e-6
12.0ms	-163683756.6219662	-11459.534132490739

Results

21.0ms

256×

body

256

valid

Compiler

Compiled 270 to 202 computations (25.2% saved)

regimes275.0ms (8.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

259.0ms	x
14.0ms	y

Results

Error	Segments	Branch
15.5b	13	`x`
8.2b	3	`y`

Compiler

Compiled 30 to 16 computations (46.7% saved)

bsearch27.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	1.3785697458570257e-6	59.46833734700745
14.0ms	-163683756.6219662	-11459.534132490739

Results

24.0ms	272×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 201 to 163 computations (18.9% saved)

regimes54.0ms (1.6%)

Counts

4 → 5

Calls

Call 1

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

Outputs
1
x
(neg.f64 y)
x
1

Calls

2 calls:

35.0ms	x
17.0ms	y

Results

Error	Segments	Branch
23.9b	10	`x`
15.2b	5	`y`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch54.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
13.0ms	1.3785697458570257e-6	59.46833734700745
11.0ms	2.8575470429748593e-31	4.035108498025109e-29
17.0ms	5.92565029062325e-131	1.717413627690758e-95
12.0ms	-163683756.6219662	-11459.534132490739

Results

47.0ms

560×

body

256

valid

Compiler

Compiled 312 to 255 computations (18.3% saved)

regimes34.0ms (1%)

Accuracy

Total -45.4b remaining (-277.3%)

Threshold costs -45.4b (-277.3%)

Counts

2 → 3

Calls

Call 1

Inputs
1
x

Outputs
1
x
1

Calls

2 calls:

24.0ms	x
9.0ms	y

Results

Error	Segments	Branch
25.2b	9	`x`
16.4b	3	`y`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch26.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1.3785697458570257e-6	59.46833734700745
12.0ms	-163683756.6219662	-11459.534132490739

Results

23.0ms

272×

body

256

valid

Compiler

Compiled 150 to 129 computations (14% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	180

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(if (<=.f64 y -11500) (neg.f64 (/.f64 y (-.f64 1 y))) (if (<=.f64 y 6195744825524975/302231454903657293676544) (+.f64 x (neg.f64 y)) (neg.f64 (/.f64 y (-.f64 1 y)))))
(if (<=.f64 y -11500) 1 (if (<=.f64 y 1) (+.f64 x (neg.f64 y)) 1))
(if (<=.f64 y -11500) 1 (if (<=.f64 y 5110428660115861/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928) x (if (<=.f64 y 6850788924988607/5708990770823839524233143877797980545530986496) (neg.f64 y) (if (<=.f64 y 1) x 1))))
(if (<=.f64 y -11500) 1 (if (<=.f64 y 1) x 1))
1

Outputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(if (<=.f64 y -11500) (neg.f64 (/.f64 y (-.f64 1 y))) (if (<=.f64 y 6195744825524975/302231454903657293676544) (+.f64 x (neg.f64 y)) (neg.f64 (/.f64 y (-.f64 1 y)))))
(if (<=.f64 y -11500) 1 (if (<=.f64 y 1) (+.f64 x (neg.f64 y)) 1))
(if (<=.f64 y -11500) 1 (if (<=.f64 y 5110428660115861/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928) x (if (<=.f64 y 6850788924988607/5708990770823839524233143877797980545530986496) (neg.f64 y) (if (<=.f64 y 1) x 1))))
(if (<=.f64 y -11500) 1 (if (<=.f64 y 1) x 1))
1

Compiler

Compiled 91 to 66 computations (27.5% saved)

soundness0.0ms (0%)

end47.0ms (1.4%)

Compiler: Compiled 81 to 53 computations (34.6% saved)

Details

analyze61.0ms (1.9%)

sample1.1s (32.1%)

preprocess13.0ms (0.4%)

simplify79.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite73.0ms (2.2%)

simplify236.0ms (7.2%)

eval178.0ms (5.4%)

prune12.0ms (0.4%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite75.0ms (2.3%)

simplify197.0ms (6%)

localize9.0ms (0.3%)

series2.0ms (0.1%)

rewrite82.0ms (2.5%)

simplify168.0ms (5.1%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite74.0ms (2.2%)

simplify156.0ms (4.7%)

eval121.0ms (3.7%)

prune19.0ms (0.6%)

localize2.0ms (0.1%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune6.0ms (0.2%)

regimes21.0ms (0.6%)

regimes66.0ms (2%)

bsearch24.0ms (0.7%)

regimes275.0ms (8.3%)

bsearch27.0ms (0.8%)

regimes54.0ms (1.6%)

bsearch54.0ms (1.6%)

regimes34.0ms (1%)

bsearch26.0ms (0.8%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end47.0ms (1.4%)

Profiling