Details

analyze202.0ms (0.7%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	5
6.3%	6.2%	93.6%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
20.3%	20.3%	79.6%	0.1%	0%	0%	0%	8
35.5%	35.5%	64.4%	0.1%	0%	0%	0%	9
40%	40%	59.9%	0.1%	0%	0%	0%	10
50.6%	50.5%	49.3%	0.1%	0%	0%	0%	11
63.5%	63.4%	36.4%	0.1%	0%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample895.0ms (3.2%)

Results

885.0ms

8256×

body

256

valid

Bogosity

preprocess2.9s (10.5%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
(+.f64 y (/.f64 x (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x))))
(+.f64 z (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 x)) (.f64 z y))))
(+.f64 x (/.f64 z (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 y)) (.f64 x z))))

Outputs
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))
(+.f64 y (/.f64 x (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x))))
(-.f64 y (/.f64 x (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))
(+.f64 z (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 x)) (.f64 z y))))
(-.f64 z (/.f64 y (fma.f64 z y (*.f64 -5641895835477563/5000000000000000 (exp.f64 x)))))
(+.f64 x (/.f64 z (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 y)) (.f64 x z))))
(-.f64 x (/.f64 z (fma.f64 x z (*.f64 -5641895835477563/5000000000000000 (exp.f64 y)))))

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify1.5s (5.3%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))

Outputs
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))

eval1.0ms (0%)

Compiler: Compiled 26 to 15 computations (42.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

1.9b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.9b	(-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))
▶	2.9b	(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))

Compiler

Compiled 29 to 19 computations (34.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
✓	0.0b	(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
✓	0.8b	(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))
✓	8.4b	(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))

Compiler

Compiled 46 to 20 computations (56.5% saved)

series88.0ms (0.3%)

Counts

4 → 110

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))
1.0ms	z	@	-inf	(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))
1.0ms	z	@	inf	(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))
1.0ms	y	@	0	(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))
1.0ms	x	@	0	(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))

Compiler

Compiled 10905 to 6680 computations (38.7% saved)

rewrite1.6s (6%)

Algorithm

1×	batch-egg-rewrite

Rules

119×	`egg-rr`
66×	`egg-rr`
65×	`egg-rr`
40×	`egg-rr`

Counts

4 → 290

Calls

Call 1

Inputs
(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))
(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))) (cbrt.f64 (pow.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 2)) (cbrt.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (/.f64 (cbrt.f64 (pow.f64 y 2)) (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (cbrt.f64 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y (/.f64 -1 (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y) (pow.f64 (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 2)) 0) (/.f64 (cbrt.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 2)))) (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 y 2)) (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 0) (/.f64 (cbrt.f64 y) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 y 2)) (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) -1)) (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))) 0) (/.f64 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simplify6.0s (21.5%)

Algorithm

1×

egglog

Counts

400 → 464

Calls

Call 1

Inputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
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(/.f64 -1 x)
(-.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (/.f64 1 x))
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(/.f64 -1 x)
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(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
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(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x)))
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(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x)))
(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x)))
(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x)))
(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x)))
(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x)))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
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(/.f64 -1 x)
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(/.f64 -1 x)
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(-.f64 (+.f64 (.f64 5641895835477563/10000000000000000 (pow.f64 z 2)) (+.f64 5641895835477563/5000000000000000 (+.f64 (.f64 5641895835477563/5000000000000000 z) (.f64 5641895835477563/30000000000000000 (pow.f64 z 3))))) (.f64 y x))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x))
(-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x))
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(*.f64 5641895835477563/5000000000000000 (exp.f64 z))
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5641895835477563/5000000000000000
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x
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x
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(neg.f64 (-.f64 (/.f64 y (fma.f64 y x (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) x))
(if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 3)) (fma.f64 x x (.f64 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) (+.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))))) (-.f64 x (/.f64 y (fma.f64 y x (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 x 0) (.f64 x (-.f64 1 (/.f64 y (.f64 (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))) x)))) (-.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (fma.f64 x x (.f64 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) (+.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 3)) (fma.f64 x x (.f64 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) (+.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))))) (-.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 3)) (fma.f64 x x (.f64 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) (+.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))))) (-.f64 x (/.f64 y (fma.f64 y x (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 0) (.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) (+.f64 1 (/.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))))) (-.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (+.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 0) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 2)) (+.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))) (-.f64 x (/.f64 y (fma.f64 y x (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (-.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) x) 0) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 2)) (+.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))) (-.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (-.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 0) (/.f64 1 (/.f64 1 (-.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))) (-.f64 x (/.f64 y (fma.f64 y x (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 3)) (fma.f64 x x (.f64 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) (+.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))))) (-.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
(+.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) x)

Outputs
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
(+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 x (.f64 y y)) (pow.f64 (exp.f64 z) 2)) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))
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(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 x (.f64 y y)) (pow.f64 (exp.f64 z) 2)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 (exp.f64 z) 3)) (/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))))
(+.f64 (.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 2)) (.f64 (exp.f64 z) (pow.f64 (exp.f64 z) 2)))) (+.f64 (.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (.f64 (pow.f64 y 4) (.f64 (pow.f64 x 2) x)) (pow.f64 (pow.f64 (exp.f64 z) 2) 2))) (*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(fma.f64 25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 x (.f64 y y)) (pow.f64 (exp.f64 z) 2)) (fma.f64 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (.f64 (pow.f64 y 3) (.f64 x x)) (pow.f64 (exp.f64 z) 3)) (fma.f64 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (.f64 (pow.f64 x 3) (pow.f64 y 4)) (pow.f64 (exp.f64 z) 4)) (/.f64 (.f64 5000000000000000/5641895835477563 y) (exp.f64 z)))))
(/.f64 -1 x)
(-.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (/.f64 1 x))
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(/.f64 -1 x)
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(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
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(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x)))
(/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))
(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x)))
(/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))
(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x)))
(/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))
(/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 y x)))
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(/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (*.f64 y x))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
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(/.f64 -1 x)
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(if (!=.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 0) (.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) (+.f64 1 (/.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))))) (-.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (.f64 y x)))) 0) (.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (.f64 y x)))) (+.f64 1 (/.f64 x (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (.f64 y x))))))) (-.f64 x (/.f64 y (fma.f64 y x (*.f64 (exp.f64 z) -5641895835477563/5000000000000000)))))
(if (!=.f64 (+.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 0) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 2)) (+.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))) (-.f64 x (/.f64 y (fma.f64 y x (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (+.f64 x (/.f64 y (fma.f64 y x (.f64 (exp.f64 z) -5641895835477563/5000000000000000)))) 0) (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x (.f64 (exp.f64 z) -5641895835477563/5000000000000000))) 2)) (+.f64 x (/.f64 y (fma.f64 y x (.f64 (exp.f64 z) -5641895835477563/5000000000000000))))) (-.f64 x (/.f64 y (fma.f64 y x (*.f64 (exp.f64 z) -5641895835477563/5000000000000000)))))
(if (!=.f64 (-.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) x) 0) (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 2)) (+.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))) (-.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (-.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 (exp.f64 z) (neg.f64 (.f64 y x)))) x) 0) (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 y x (.f64 (exp.f64 z) -5641895835477563/5000000000000000))) 2)) (+.f64 x (/.f64 y (fma.f64 y x (.f64 (exp.f64 z) -5641895835477563/5000000000000000))))) (-.f64 x (/.f64 y (fma.f64 y x (*.f64 (exp.f64 z) -5641895835477563/5000000000000000)))))
(if (!=.f64 (-.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 0) (/.f64 1 (/.f64 1 (-.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))) (-.f64 x (/.f64 y (fma.f64 y x (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (-.f64 x (/.f64 y (fma.f64 y x (.f64 (exp.f64 z) -5641895835477563/5000000000000000)))) 0) (/.f64 1 (pow.f64 (-.f64 x (/.f64 y (fma.f64 y x (.f64 (exp.f64 z) -5641895835477563/5000000000000000)))) -1)) (-.f64 x (/.f64 y (fma.f64 y x (*.f64 (exp.f64 z) -5641895835477563/5000000000000000)))))
(if (!=.f64 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 3)) (fma.f64 x x (.f64 (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) (+.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))))) (-.f64 x (/.f64 y (fma.f64 y x (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (/.f64 y (fma.f64 y x (.f64 (exp.f64 z) -5641895835477563/5000000000000000))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 y x (.f64 (exp.f64 z) -5641895835477563/5000000000000000))) 3)) (fma.f64 x x (.f64 (+.f64 x (/.f64 y (fma.f64 y x (.f64 (exp.f64 z) -5641895835477563/5000000000000000)))) (/.f64 y (fma.f64 y x (.f64 (exp.f64 z) -5641895835477563/5000000000000000)))))) (-.f64 x (/.f64 y (fma.f64 y x (.f64 (exp.f64 z) -5641895835477563/5000000000000000)))))
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 y x (*.f64 (exp.f64 z) -5641895835477563/5000000000000000))))
(+.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) x)
(-.f64 x (/.f64 y (fma.f64 y x (*.f64 (exp.f64 z) -5641895835477563/5000000000000000))))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))
✓	0.0b	(*.f64 -5641895835477563/5000000000000000 (exp.f64 z))
✓	8.4b	(/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))

New

Error

Program

✓

0.0b

(-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))

✓

0.0b

(*.f64 -5641895835477563/5000000000000000 (exp.f64 z))

✓

8.4b

(/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))

Compiler

Compiled 40 to 19 computations (52.5% saved)

series74.0ms (0.3%)

Counts

3 → 75

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))
1.0ms	z	@	0	(/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))
1.0ms	z	@	inf	(/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))
1.0ms	z	@	0	(-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))
1.0ms	z	@	-inf	(/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))

Compiler

Compiled 9265 to 5860 computations (36.8% saved)

rewrite1.5s (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

81×	`egg-rr`
73×	`egg-rr`
25×	`egg-rr`

Counts

3 → 179

Calls

Call 1

Inputs
(/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))
(*.f64 -5641895835477563/5000000000000000 (exp.f64 z))
(-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))

Inputs

(/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))

(*.f64 -5641895835477563/5000000000000000 (exp.f64 z))

(-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))

Outputs
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Outputs

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simplify4.0s (14.3%)

Algorithm

1×

egglog

Counts

254 → 314

Calls

Call 1

Inputs
(*.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(+.f64 (.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(+.f64 (.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 2)) (.f64 (exp.f64 z) (pow.f64 (exp.f64 z) 2)))) (.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(+.f64 (.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (.f64 (pow.f64 y 4) (.f64 (pow.f64 x 2) x)) (pow.f64 (pow.f64 (exp.f64 z) 2) 2))) (+.f64 (.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 2)) (.f64 (exp.f64 z) (pow.f64 (exp.f64 z) 2)))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(/.f64 1 x)
(+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (+.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (/.f64 1 y) 2)) (*.f64 (pow.f64 x 2) x))) (/.f64 1 x)))
(+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (+.f64 (.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (.f64 (pow.f64 (/.f64 1 y) 3) (.f64 (exp.f64 z) (pow.f64 (exp.f64 z) 2))) (pow.f64 (pow.f64 x 2) 2))) (+.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (/.f64 1 y) 2)) (.f64 (pow.f64 x 2) x))) (/.f64 1 x))))
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(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 2) (.f64 0 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))))) 0) (/.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 2) (.f64 0 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))))) (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 2) (+.f64 (pow.f64 x 2) (.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) (neg.f64 x)))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 3)) (+.f64 (pow.f64 (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 2) (+.f64 (pow.f64 x 2) (.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) (neg.f64 x))))) (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (.f64 (neg.f64 x) -1) 0) (/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 3) (pow.f64 (.f64 (neg.f64 x) -1) 3)) (+.f64 (pow.f64 (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 2) (-.f64 (.f64 (.f64 (neg.f64 x) -1) (.f64 (neg.f64 x) -1)) (.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) (.f64 (neg.f64 x) -1))))) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 0) (/.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 2) (.f64 0 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))))) (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 3)) (+.f64 (pow.f64 (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 2) (+.f64 (pow.f64 x 2) (.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) (neg.f64 x))))) (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(+.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) (*.f64 (neg.f64 x) -1))
(+.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) x)
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
(+.f64 (.f64 (neg.f64 x) -1) (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(+.f64 (-.f64 x (/.f64 0 (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))) (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
(+.f64 (-.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 0) x)
(+.f64 0 (-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(+.f64 (-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 0)

Outputs
(*.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 -5000000000000000/5641895835477563 y) (exp.f64 z))
(+.f64 (.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 x (pow.f64 y 2)) (pow.f64 (exp.f64 2) z)) (/.f64 (.f64 -5000000000000000/5641895835477563 y) (exp.f64 z)))
(+.f64 (.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 2)) (.f64 (exp.f64 z) (pow.f64 (exp.f64 z) 2)))) (.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))))
(fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 x (pow.f64 y 2)) (pow.f64 (exp.f64 2) z)) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 x 2) (pow.f64 y 3))) (pow.f64 (exp.f64 z) 3))))
(+.f64 (.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (.f64 (pow.f64 y 4) (.f64 (pow.f64 x 2) x)) (pow.f64 (pow.f64 (exp.f64 z) 2) 2))) (+.f64 (.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 2)) (.f64 (exp.f64 z) (pow.f64 (exp.f64 z) 2)))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))))
(fma.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (.f64 (pow.f64 x 3) (pow.f64 y 4)) (pow.f64 (exp.f64 z) 4)) (fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 x (pow.f64 y 2)) (pow.f64 (exp.f64 2) z)) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (.f64 (pow.f64 x 2) (pow.f64 y 3))) (pow.f64 (exp.f64 z) 3)))))
(/.f64 1 x)
(pow.f64 x -1)
(+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (pow.f64 x -1))
(+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (+.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (/.f64 1 y) 2)) (*.f64 (pow.f64 x 2) x))) (/.f64 1 x)))
(fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 y -1) y) (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 2) z))) (pow.f64 x -1)))
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(fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 y 3)) (pow.f64 (pow.f64 x 2) 2)) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 y -1) y) (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 2) z))) (pow.f64 x -1))))
(/.f64 1 x)
(pow.f64 x -1)
(+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (/.f64 1 x))
(fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (pow.f64 x -1))
(+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 1 x) (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (/.f64 -1 y) 2)) (*.f64 (pow.f64 x 2) x)))))
(fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (*.f64 y (pow.f64 x 2))) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 y -1) y) (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 2) z))) (pow.f64 x -1)))
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(fma.f64 5641895835477563/5000000000000000 (/.f64 (exp.f64 z) (.f64 y (pow.f64 x 2))) (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (.f64 (*.f64 (exp.f64 z) (/.f64 -1 (pow.f64 y 3))) (pow.f64 (exp.f64 2) z)) (pow.f64 (pow.f64 x 2) 2)) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 y -1) y) (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 2) z))) (pow.f64 x -1))))
(*.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)))
(/.f64 (*.f64 -5000000000000000/5641895835477563 y) (exp.f64 z))
(+.f64 (.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (*.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))))
(fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 x (pow.f64 y 2)) (pow.f64 (exp.f64 2) z)) (/.f64 (.f64 -5000000000000000/5641895835477563 y) (exp.f64 z)))
(+.f64 (.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (.f64 y (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 (exp.f64 z) (pow.f64 (exp.f64 z) 2))))))
(fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 x (pow.f64 y 2)) (pow.f64 (exp.f64 2) z)) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (*.f64 (pow.f64 x 2) (pow.f64 y 3))) (pow.f64 (exp.f64 z) 3))))
(+.f64 (.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (.f64 (pow.f64 (pow.f64 y 2) 2) (pow.f64 x 3)) (pow.f64 (pow.f64 (exp.f64 z) 2) 2))) (+.f64 (.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (exp.f64 z) 2))) (+.f64 (.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z))) (.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/.f64 (.f64 y (.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 (exp.f64 z) (pow.f64 (exp.f64 z) 2)))))))
(fma.f64 -625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/.f64 (.f64 (pow.f64 x 3) (pow.f64 y 4)) (pow.f64 (exp.f64 z) 4)) (fma.f64 -25000000000000000000000000000000/31830988618379068626528276418969 (/.f64 (.f64 x (pow.f64 y 2)) (pow.f64 (exp.f64 2) z)) (fma.f64 -5000000000000000/5641895835477563 (/.f64 y (exp.f64 z)) (/.f64 (.f64 -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (.f64 (pow.f64 x 2) (pow.f64 y 3))) (pow.f64 (exp.f64 z) 3)))))
(/.f64 1 x)
(pow.f64 x -1)
(+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 (.f64 (exp.f64 z) (pow.f64 (/.f64 1 x) 2)) y)) (/.f64 1 x))
(fma.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 (exp.f64 z) (pow.f64 (pow.f64 x -1) 2)) y) (pow.f64 x -1))
(+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 (.f64 (exp.f64 z) (pow.f64 (/.f64 1 x) 2)) y)) (+.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (exp.f64 z) 2)) (pow.f64 y 2))) (/.f64 1 x)))
(fma.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 (exp.f64 z) (pow.f64 (pow.f64 x -1) 2)) y) (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 (exp.f64 2) z) (pow.f64 x 3)) (pow.f64 y 2)) (pow.f64 x -1)))
(+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 (.f64 (exp.f64 z) (pow.f64 (/.f64 1 x) 2)) y)) (+.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (exp.f64 z) 2)) (pow.f64 y 2))) (+.f64 (/.f64 1 x) (.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (.f64 (exp.f64 z) (.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (/.f64 1 x) 4))) (.f64 y (pow.f64 y 2)))))))
(fma.f64 5641895835477563/5000000000000000 (/.f64 (.f64 (exp.f64 z) (pow.f64 (pow.f64 x -1) 2)) y) (+.f64 (fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (/.f64 (pow.f64 (exp.f64 2) z) (pow.f64 x 3)) (pow.f64 y 2)) (pow.f64 x -1)) (.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (*.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (/.f64 -1 x) 4)) (pow.f64 y 3)))))
(/.f64 1 x)
(pow.f64 x -1)
(+.f64 (/.f64 1 x) (.f64 5641895835477563/5000000000000000 (/.f64 (.f64 (exp.f64 z) (pow.f64 (/.f64 -1 x) 2)) y)))
(fma.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 (exp.f64 z) (pow.f64 (pow.f64 x -1) 2)) y) (pow.f64 x -1))
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(+.f64 (.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (.f64 (exp.f64 z) (.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (/.f64 -1 x) 4))) (.f64 y (pow.f64 y 2)))) (+.f64 (/.f64 1 x) (+.f64 (.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (.f64 (pow.f64 (exp.f64 z) 2) (pow.f64 (/.f64 -1 x) 3)) (pow.f64 y 2))) (.f64 5641895835477563/5000000000000000 (/.f64 (.f64 (exp.f64 z) (pow.f64 (/.f64 -1 x) 2)) y)))))
(fma.f64 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (.f64 (pow.f64 (exp.f64 z) 3) (pow.f64 (/.f64 -1 x) 4)) (pow.f64 y 3)) (+.f64 (pow.f64 x -1) (fma.f64 -31830988618379068626528276418969/25000000000000000000000000000000 (neg.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 2) z) (pow.f64 x 3)) (pow.f64 y 2))) (.f64 5641895835477563/5000000000000000 (/.f64 (*.f64 (exp.f64 z) (pow.f64 (pow.f64 x -1) 2)) y)))))
(/.f64 y (-.f64 (*.f64 y x) 5641895835477563/5000000000000000))
(/.f64 y (fma.f64 y x -5641895835477563/5000000000000000))
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(if (!=.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 2) (-.f64 (.f64 (.f64 (neg.f64 x) -1) (.f64 (neg.f64 x) -1)) (.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) (.f64 (neg.f64 x) -1)))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 3) (pow.f64 (.f64 (neg.f64 x) -1) 3)) (+.f64 (pow.f64 (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 2) (-.f64 (.f64 (.f64 (neg.f64 x) -1) (.f64 (neg.f64 x) -1)) (.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) (.f64 (neg.f64 x) -1))))) (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) 2) (.f64 x (+.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) x))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) 3)) (+.f64 (pow.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) 2) (.f64 x (+.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) x)))) (-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x)))))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 2) (.f64 0 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))))) 0) (/.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 2) (.f64 0 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))))) (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (pow.f64 (-.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) x) 2) 0) (/.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x)))) 3) (pow.f64 (-.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) x) 2)) (-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x)))))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 2) (+.f64 (pow.f64 x 2) (.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) (neg.f64 x)))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 3)) (+.f64 (pow.f64 (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 2) (+.f64 (pow.f64 x 2) (.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) (neg.f64 x))))) (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) 2) (.f64 x (+.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) x))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) 3)) (+.f64 (pow.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) 2) (.f64 x (+.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) x)))) (-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x)))))
(if (!=.f64 (.f64 (neg.f64 x) -1) 0) (/.f64 (+.f64 (pow.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 3) (pow.f64 (.f64 (neg.f64 x) -1) 3)) (+.f64 (pow.f64 (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 2) (-.f64 (.f64 (.f64 (neg.f64 x) -1) (.f64 (neg.f64 x) -1)) (.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) (.f64 (neg.f64 x) -1))))) (-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) 3)) (+.f64 (pow.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) 2) (.f64 x (+.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) x)))) (-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x)))))
(if (!=.f64 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 0) (/.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 2) (.f64 0 (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))))) (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x)))) 0) (/.f64 (pow.f64 (-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x)))) 3) (pow.f64 (-.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) x) 2)) (-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x)))))
(if (!=.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 3)) (+.f64 (pow.f64 (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z)))) 2) (+.f64 (pow.f64 x 2) (.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) (neg.f64 x))))) (-.f64 x (/.f64 y (fma.f64 x y (.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(if (!=.f64 (/.f64 (neg.f64 y) (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) 3)) (+.f64 (pow.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) 2) (.f64 x (+.f64 (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x))) x)))) (-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (.f64 y x)))))
(+.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) (*.f64 (neg.f64 x) -1))
(-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))
(+.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) x)
(-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))
(+.f64 x (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))
(+.f64 (.f64 (neg.f64 x) -1) (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (*.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))
(+.f64 (-.f64 x (/.f64 0 (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y)))) (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))))
(-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))
(+.f64 (-.f64 (/.f64 y (-.f64 (.f64 5641895835477563/5000000000000000 (exp.f64 z)) (.f64 x y))) 0) x)
(-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))
(+.f64 0 (-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))))
(-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))
(+.f64 (-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z))))) 0)
(-.f64 x (/.f64 y (fma.f64 -5641895835477563/5000000000000000 (exp.f64 z) (*.f64 y x))))

eval350.0ms (1.3%)

Compiler: Compiled 24701 to 13430 computations (45.6% saved)

prune145.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	770	8	778
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	772	8	780

Error

Counts

780 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	55.3b	(/.f64 (*.f64 5000000000000000/5641895835477563 y) (exp.f64 z))
	23.4b	(-.f64 x (/.f64 (*.f64 -5000000000000000/5641895835477563 y) (exp.f64 z)))
▶	13.6b	(-.f64 x (/.f64 y (-.f64 (*.f64 y x) 5641895835477563/5000000000000000)))
▶	19.7b	(-.f64 x (/.f64 1 x))
	16.4b	(-.f64 3 (-.f64 3 (-.f64 x (/.f64 y (fma.f64 x y (*.f64 -5641895835477563/5000000000000000 (exp.f64 z)))))))
▶	13.2b	(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x))))
▶	21.7b	(+.f64 x (/.f64 y (neg.f64 (*.f64 y x))))
	18.1b	x

Compiler

Compiled 174 to 123 computations (29.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x))))
✓	0.0b	(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
✓	0.2b	(*.f64 5641895835477563/5000000000000000 z)
✓	8.3b	(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x)))

Compiler

Compiled 51 to 29 computations (43.1% saved)

series96.0ms (0.3%)

Counts

4 → 75

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(*.f64 5641895835477563/5000000000000000 z)
1.0ms	z	@	inf	(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x)))
1.0ms	z	@	0	(*.f64 5641895835477563/5000000000000000 z)
1.0ms	y	@	inf	(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x)))
1.0ms	y	@	0	(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x)))

Compiler

Compiled 11595 to 8445 computations (27.2% saved)

rewrite1.5s (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

53×	`egg-rr`
47×	`egg-rr`
28×	`egg-rr`
27×	`egg-rr`

Counts

4 → 155

Calls

Call 1

Inputs
(/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x)))
(*.f64 5641895835477563/5000000000000000 z)
(+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z))
(+.f64 x (/.f64 y (-.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (.f64 y x))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x)))) (cbrt.f64 (pow.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) 2)) (cbrt.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (/.f64 (cbrt.f64 (pow.f64 y 2)) (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x)))) (/.f64 y (cbrt.f64 (pow.f64 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (cbrt.f64 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x)))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 y (-.f64 (.f64 y x) (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) 5641895835477563/5000000000000000) 5641895835477563/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y) (/.f64 -1 (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (-.f64 (.f64 y x) (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (/.f64 y (-.f64 (.f64 y x) (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (-.f64 (.f64 y x) (fma.f64 5641895835477563/5000000000000000 z 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5641895835477563/5000000000000000) (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) x) 0) (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) 2) (pow.f64 x 2)) (-.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) x)) (+.f64 x (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))) x)))))

simplify3.5s (12.8%)

Algorithm

1×

egglog

Counts

230 → 289

Calls

Call 1

Inputs
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z))) (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))
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(/.f64 -1 x)
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(/.f64 -1 x)
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(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
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(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
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(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
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(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
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(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (.f64 y (.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) 2))) (+.f64 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) 2)) (/.f64 (.f64 (pow.f64 (pow.f64 y 2) 2) (pow.f64 x 3)) (pow.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) 2) 2)))))
(/.f64 -1 x)
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(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (.f64 5641895835477563/5000000000000000 (/.f64 z y))) (pow.f64 (/.f64 1 x) 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (/.f64 1 x) 3) (.f64 (+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 1 y)) (.f64 5641895835477563/5000000000000000 (/.f64 z y))) (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)))) y))) (/.f64 1 x))
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(/.f64 -1 x)
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5641895835477563/5000000000000000
(*.f64 5641895835477563/5000000000000000 z)
(*.f64 5641895835477563/5000000000000000 z)
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
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x
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x
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x
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(if (!=.f64 x 0) (+.f64 x (/.f64 (/.f64 (.f64 y x) (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) x)) (+.f64 x (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))))
(if (!=.f64 (fma.f64 x x (.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) (-.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) 3)) (fma.f64 x x (.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) (-.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) x)))) (+.f64 x (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x)))))
(if (!=.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) 3)) (fma.f64 x x (.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) (-.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) x)))) (+.f64 x (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x)))))
(if (!=.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) 0) (.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) (+.f64 1 (/.f64 x (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x)))))) (+.f64 x (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x)))))
(if (!=.f64 (+.f64 x (/.f64 y (-.f64 (.f64 y x) (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) 2) (pow.f64 x 2)) (-.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) x)) (+.f64 x (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x)))))
(if (!=.f64 (-.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) x) 0) (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) 2) (pow.f64 x 2)) (-.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) x)) (+.f64 x (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x)))))
(+.f64 x (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))))
(+.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))) x)

Outputs
(/.f64 y (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)))
(/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z))) (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))
(+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (/.f64 (*.f64 x (pow.f64 y 2)) (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2)))
(+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) 2)) (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 2)) (.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (*.f64 5641895835477563/5000000000000000 z)) 2)))))
(+.f64 (/.f64 y (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000)) (/.f64 (+.f64 (.f64 x (pow.f64 y 2)) (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 2)) (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000))) (pow.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) 2)))
(+.f64 (/.f64 (.f64 (pow.f64 y 4) (.f64 (pow.f64 x 2) x)) (pow.f64 (pow.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) 2) 2)) (+.f64 (/.f64 y (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z))) (+.f64 (/.f64 (.f64 (pow.f64 y 2) x) (pow.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) 2)) (/.f64 (.f64 (pow.f64 y 3) (pow.f64 x 2)) (.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (pow.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) 2))))))
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(/.f64 -1 x)
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 5641895835477563/5000000000000000 (/.f64 z (pow.f64 x 2))) (*.f64 5641895835477563/5000000000000000 (/.f64 1 (pow.f64 x 2)))) y)) (/.f64 1 x))
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(/.f64 -1 x)
(-.f64 (.f64 -1 (/.f64 (+.f64 5641895835477563/5000000000000000 (.f64 5641895835477563/5000000000000000 z)) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))
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(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 y x)))
(/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y)))
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(fma.f64 -5641895835477563/5000000000000000 (/.f64 (.f64 z y) (pow.f64 (-.f64 5641895835477563/5000000000000000 (.f64 x y)) 2)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y))))
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(fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (.f64 (pow.f64 z 2) y) (pow.f64 (-.f64 5641895835477563/5000000000000000 (.f64 x y)) 3)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (.f64 z y) (pow.f64 (-.f64 5641895835477563/5000000000000000 (.f64 x y)) 2)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y)))))
(+.f64 (.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (.f64 (pow.f64 z 2) y) (.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (.f64 y x)) 2) (-.f64 5641895835477563/5000000000000000 (.f64 y x))))) (+.f64 (.f64 -5641895835477563/5000000000000000 (/.f64 (.f64 y z) (pow.f64 (-.f64 5641895835477563/5000000000000000 (.f64 y x)) 2))) (+.f64 (.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (.f64 y (pow.f64 z 3)) (pow.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (.f64 y x)) 2) 2))) (/.f64 y (-.f64 5641895835477563/5000000000000000 (.f64 y x))))))
(fma.f64 31830988618379068626528276418969/25000000000000000000000000000000 (/.f64 (.f64 (pow.f64 z 2) y) (pow.f64 (-.f64 5641895835477563/5000000000000000 (.f64 x y)) 3)) (fma.f64 -5641895835477563/5000000000000000 (/.f64 (.f64 z y) (pow.f64 (-.f64 5641895835477563/5000000000000000 (.f64 x y)) 2)) (fma.f64 -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/.f64 (.f64 (pow.f64 z 3) y) (pow.f64 (pow.f64 (-.f64 5641895835477563/5000000000000000 (.f64 x y)) 2) 2)) (/.f64 y (-.f64 5641895835477563/5000000000000000 (*.f64 x y))))))
(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) z)
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(*.f64 5000000000000000/5641895835477563 (/.f64 y z))
(/.f64 (*.f64 5000000000000000/5641895835477563 y) z)
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(if (!=.f64 (-.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) x) 0) (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) 2) (pow.f64 x 2)) (-.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x))) x)) (+.f64 x (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 y x)))))
(if (!=.f64 (-.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 x y))) x) 0) (/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 x y))) 2) (pow.f64 x 2)) (-.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 x y))) x)) (+.f64 x (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (.f64 x y)))))
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(+.f64 x (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 x y))))
(+.f64 (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 y x))) x)
(+.f64 x (/.f64 y (-.f64 (fma.f64 5641895835477563/5000000000000000 z 5641895835477563/5000000000000000) (*.f64 x y))))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

Compiler

Compiled 45 to 30 computations (33.3% saved)

rewrite1.5s (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

69× egg-rr

Counts

1 → 69

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (pow.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x -1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 x (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (pow.f64 x -1) x)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 x 2)) (/.f64 (+.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 x)) (cbrt.f64 x))) (-.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (-.f64 x (pow.f64 x -1)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1) x) 2))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1) x) 2))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (-.f64 x (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (-.f64 x (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (pow.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (pow.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (pow.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (pow.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 x (pow.f64 x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 x -1) 0) (/.f64 (-.f64 (pow.f64 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(-.f64 x (pow.f64 x -1)) 0))) (-.f64 x (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 x) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (pow.f64 x 3) -1)) (+.f64 (pow.f64 (pow.f64 x -1) 2) (+.f64 (.f64 (/.f64 -1 x) (neg.f64 x)) (pow.f64 x 2)))) (-.f64 x (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (-.f64 (pow.f64 x -1) x) 2) (.f64 0 (-.f64 x (pow.f64 x -1))))) 0) (/.f64 (pow.f64 (-.f64 x (pow.f64 x -1)) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 (pow.f64 x -1) x) 2) (.f64 0 (-.f64 x (pow.f64 x -1)))))) (-.f64 x (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (pow.f64 x -1) 2) (+.f64 (.f64 (/.f64 -1 x) (neg.f64 x)) (pow.f64 x 2))) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (pow.f64 x 3) -1)) (+.f64 (pow.f64 (pow.f64 x -1) 2) (+.f64 (.f64 (/.f64 -1 x) (neg.f64 x)) (pow.f64 x 2)))) (-.f64 x (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 x (pow.f64 x -1)) 0) (/.f64 (pow.f64 (-.f64 x (pow.f64 x -1)) 3) (+.f64 0 (-.f64 (pow.f64 (-.f64 (pow.f64 x -1) x) 2) (.f64 0 (-.f64 x (pow.f64 x -1)))))) (-.f64 x (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 -1 x) 0) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (pow.f64 x 3) -1)) (+.f64 (pow.f64 (pow.f64 x -1) 2) (+.f64 (*.f64 (/.f64 -1 x) (neg.f64 x)) (pow.f64 x 2)))) (-.f64 x (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 0 (neg.f64 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -1 x) 0) x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (pow.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (pow.f64 x -1) x)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 x 2)) (/.f64 (+.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 x)) (cbrt.f64 x))) (-.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 x (pow.f64 x -1)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1) x) 2))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1) x) 2))) (*.f64 (cbrt.f64 (pow.f64 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simplify1.8s (6.6%)

Algorithm

1×

egglog

Details

analyze202.0ms (0.7%)

sample895.0ms (3.2%)

preprocess2.9s (10.5%)

simplify1.5s (5.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize16.0ms (0.1%)

series88.0ms (0.3%)

rewrite1.6s (6%)

simplify6.0s (21.5%)

localize16.0ms (0.1%)

series74.0ms (0.3%)

rewrite1.5s (5.5%)

simplify4.0s (14.3%)

eval350.0ms (1.3%)

prune145.0ms (0.5%)

localize18.0ms (0.1%)

series96.0ms (0.3%)

rewrite1.5s (5.3%)

simplify3.5s (12.8%)

localize7.0ms (0%)

series1.0ms (0%)

rewrite1.5s (5.3%)

simplify1.8s (6.6%)

end0.0ms (0%)

Profiling