Details

analyze260.0ms (4.7%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
0%	0%	99.9%	0.1%	0%	0%	0%	8
0%	0%	99.9%	0.1%	0%	0%	0%	9
22%	21.1%	74.5%	0.1%	4.3%	0%	0%	10
26.6%	25.4%	69.8%	0.1%	4.7%	0%	0%	11
32.3%	30.6%	64.2%	0.1%	5.1%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.5s (27.3%)

Results

1.3s	8256×	body	256	valid
238.0ms	1703×	body	256	infinite

Bogosity

preprocess69.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

1536×	`fma-def`
962×	`distribute-lft-out`
936×	`times-frac`
768×	`associate--r+`
694×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	124
1	71	124
2	210	108
3	674	108
4	1789	108
5	5362	108
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(/.f64 (.f64 4 (-.f64 (-.f64 y x) (.f64 z 1/2))) z)
(/.f64 (.f64 4 (-.f64 (-.f64 z y) (.f64 x 1/2))) x)
(/.f64 (.f64 4 (-.f64 (-.f64 x z) (.f64 y 1/2))) y)

Outputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 x (+.f64 y (*.f64 z 1/2)))))
(.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (.f64 z -1/2)))
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))
(/.f64 (.f64 4 (-.f64 (-.f64 y x) (.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 y (+.f64 x (*.f64 z 1/2)))))
(.f64 (/.f64 4 z) (+.f64 (-.f64 y x) (.f64 z -1/2)))
(*.f64 (-.f64 y (fma.f64 z 1/2 x)) (/.f64 4 z))
(*.f64 (-.f64 (fma.f64 z -1/2 y) x) (/.f64 4 z))
(/.f64 (.f64 4 (-.f64 (-.f64 z y) (.f64 x 1/2))) x)
(/.f64 4 (/.f64 x (-.f64 (-.f64 z y) (*.f64 x 1/2))))
(.f64 (/.f64 4 x) (+.f64 (-.f64 z y) (.f64 x -1/2)))
(*.f64 (-.f64 z (fma.f64 x 1/2 y)) (/.f64 4 x))
(*.f64 4 (/.f64 (-.f64 z (fma.f64 x 1/2 y)) x))
(*.f64 4 (/.f64 (-.f64 (fma.f64 x -1/2 z) y) x))
(/.f64 (.f64 4 (-.f64 (-.f64 x z) (.f64 y 1/2))) y)
(/.f64 4 (/.f64 y (-.f64 x (+.f64 z (*.f64 y 1/2)))))
(.f64 (/.f64 4 y) (+.f64 (-.f64 x z) (.f64 y -1/2)))
(*.f64 (-.f64 x (fma.f64 y 1/2 z)) (/.f64 4 y))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 y 1/2 z)) y))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1062×	`associate-/l*`
916×	`fma-def`
892×	`associate-l`
866×	`times-frac`
680×	`associate-/r*`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	26	31
2	69	27
3	211	27
4	537	27
5	1515	21
6	6136	21

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Outputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))
(.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (.f64 z -1/2)))
(*.f64 (-.f64 x (fma.f64 z 1/2 y)) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x (fma.f64 z 1/2 y)) z))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)

eval1.0ms (0%)

Compiler: Compiled 64 to 38 computations (40.6% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	3	3	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	4	7

Error

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.02%	(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
▶	0.42%	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
▶	0.24%	(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))

Compiler

Compiled 39 to 28 computations (28.2% saved)

localize40.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))
✓	0.24%	(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))

Compiler

Compiled 41 to 21 computations (48.8% saved)

series9.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))
1.0ms	x	@	-inf	(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))
1.0ms	z	@	inf	(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))
1.0ms	z	@	0	(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))
1.0ms	x	@	0	(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))

rewrite136.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1726×	`associate-/r*`
1142×	`associate-/l*`
898×	`associate-/r/`
326×	`associate-+l+`
294×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	282	56
2	4003	56

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

Inputs
(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))
(/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 4 z) (-.f64 x y)) (.f64 (/.f64 4 z) (.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 4 z) (.f64 z -1/2)) (.f64 (/.f64 4 z) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 x y) (/.f64 4 z)) (.f64 (.f64 z -1/2) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 z -1/2) (/.f64 4 z)) (.f64 (-.f64 x y) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) (sqrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 2) (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 z) (+.f64 (-.f64 x y) (.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (.f64 (/.f64 -1 z) (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (neg.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 4 z) 1) (+.f64 (-.f64 x y) (.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 4 z) (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 4 z) (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2)) (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2)))) 2)) (.f64 4 (cbrt.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4 z) (neg.f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2)))) 2)) (cbrt.f64 z)) (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (/.f64 z 1)) (+.f64 (-.f64 x y) (.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 z) (/.f64 1 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 z) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 z) -1) (neg.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4 (neg.f64 (neg.f64 z))) (neg.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 4 z) (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z)))) (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z)))) (+.f64 (-.f64 x y) (.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 4 z) (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z)))) (+.f64 (pow.f64 (-.f64 x y) 3) (.f64 1/8 (pow.f64 z 3)))) (+.f64 (pow.f64 (-.f64 x y) 2) (-.f64 (.f64 1/4 (.f64 z z)) (.f64 (-.f64 x y) (.f64 z 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (/.f64 4 z) (-.f64 (pow.f64 (-.f64 x y) 3) (.f64 1/8 (pow.f64 z 3)))) (-.f64 (.f64 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((x .f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2)))) 2)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z 4) (+.f64 (-.f64 x y) (.f64 z -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (+.f64 (-.f64 x y) (.f64 z -1/2))))))) 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Outputs

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

simplify158.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

818×	`+-commutative`
716×	`associate-r`
658×	`*-commutative`
646×	`associate-+r+`
614×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	458	9107
1	1474	8149
2	6681	8149

Stop Event

1×	node limit

Counts

193 → 264

Calls

Call 1

Inputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(.f64 4 (/.f64 (-.f64 x (.f64 1/2 z)) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(/.f64 z (-.f64 x y))
(+.f64 (/.f64 z (-.f64 x y)) (*.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))))
(+.f64 (/.f64 z (-.f64 x y)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))) (.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3)))))
(+.f64 (/.f64 z (-.f64 x y)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 z 2) (pow.f64 (-.f64 x y) 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 x y) 3))) (*.f64 1/8 (/.f64 (pow.f64 z 4) (pow.f64 (-.f64 x y) 4))))))
-2
(-.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 (-.f64 x y) z)) (.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2)))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 (-.f64 x y) z)) (+.f64 (.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2))))) 2)
-2
(-.f64 (*.f64 -4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 (-.f64 x y) z)) (.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2)))) 2)
(-.f64 (+.f64 (.f64 -4 (/.f64 (-.f64 x y) z)) (+.f64 (.f64 -16 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 z 3))) (*.f64 -8 (/.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 z 2))))) 2)
(.f64 -1 (/.f64 z (+.f64 y (.f64 1/2 z))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 (+.f64 y (.f64 1/2 z)) 2))) (.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z)))))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 (+.f64 y (.f64 1/2 z)) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 2)) (pow.f64 (+.f64 y (.f64 1/2 z)) 3))) (.f64 -1 (/.f64 z (+.f64 y (.f64 1/2 z))))))
(+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 (+.f64 y (.f64 1/2 z)) 4))) (+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 (+.f64 y (.f64 1/2 z)) 2))) (+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 2)) (pow.f64 (+.f64 y (.f64 1/2 z)) 3))) (.f64 -1 (/.f64 z (+.f64 y (*.f64 1/2 z)))))))
(/.f64 z x)
(+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (+.f64 (/.f64 z x) (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 3) z) (pow.f64 x 4)))))
(/.f64 z x)
(+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 2) z) (pow.f64 x 3)) (+.f64 (/.f64 (.f64 (+.f64 y (.f64 1/2 z)) z) (pow.f64 x 2)) (+.f64 (/.f64 z x) (/.f64 (.f64 (pow.f64 (+.f64 y (.f64 1/2 z)) 3) z) (pow.f64 x 4)))))
(/.f64 z (-.f64 x (*.f64 1/2 z)))
(+.f64 (/.f64 (.f64 y z) (pow.f64 (-.f64 x (.f64 1/2 z)) 2)) (/.f64 z (-.f64 x (*.f64 1/2 z))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (-.f64 x (.f64 1/2 z)) 3)) (+.f64 (/.f64 (.f64 y z) (pow.f64 (-.f64 x (.f64 1/2 z)) 2)) (/.f64 z (-.f64 x (*.f64 1/2 z)))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (-.f64 x (.f64 1/2 z)) 3)) (+.f64 (/.f64 (.f64 y z) (pow.f64 (-.f64 x (.f64 1/2 z)) 2)) (+.f64 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 (-.f64 x (.f64 1/2 z)) 4)) (/.f64 z (-.f64 x (*.f64 1/2 z))))))
(*.f64 -1 (/.f64 z y))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (.f64 -1 (/.f64 z y)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 2) z) (pow.f64 y 3))) (*.f64 -1 (/.f64 z y))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 3) z) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 2) z) (pow.f64 y 3))) (.f64 -1 (/.f64 z y)))))
(*.f64 -1 (/.f64 z y))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (.f64 -1 (/.f64 z y)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 2) z) (pow.f64 y 3))) (*.f64 -1 (/.f64 z y))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x (.f64 1/2 z)) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 3) z) (pow.f64 y 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (-.f64 x (.f64 1/2 z)) 2) z) (pow.f64 y 3))) (.f64 -1 (/.f64 z y)))))
(+.f64 (.f64 (/.f64 4 z) (-.f64 x y)) (.f64 (/.f64 4 z) (*.f64 z -1/2)))
(+.f64 (.f64 (/.f64 4 z) (.f64 z -1/2)) (*.f64 (/.f64 4 z) (-.f64 x y)))
(+.f64 (.f64 (-.f64 x y) (/.f64 4 z)) (.f64 (*.f64 z -1/2) (/.f64 4 z)))
(+.f64 (.f64 (.f64 z -1/2) (/.f64 4 z)) (*.f64 (-.f64 x y) (/.f64 4 z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)))) 1)
(.f64 4 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z))
(.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))
(.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1)
(.f64 1 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))
(.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) (sqrt.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 2) (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (.f64 z -1/2)))
(.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z) 4)
(.f64 -4 (.f64 (/.f64 -1 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(.f64 -4 (neg.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z)))
(.f64 (.f64 (/.f64 4 z) 1) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(.f64 (.f64 (/.f64 4 z) (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (.f64 (/.f64 4 z) (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2)) (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (sqrt.f64 z)))
(.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (cbrt.f64 z)))
(.f64 (/.f64 1 z) (.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2)))) 2)) (.f64 4 (cbrt.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z))))
(.f64 (/.f64 -4 z) (neg.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (/.f64 -1 z) (.f64 4 (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (.f64 (/.f64 -1 z) (+.f64 (-.f64 x y) (*.f64 z -1/2))) -4)
(.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) (sqrt.f64 z)) (.f64 4 (sqrt.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z))))
(.f64 (/.f64 (.f64 4 (sqrt.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z))) 1) (sqrt.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z)))
(.f64 (/.f64 (.f64 4 (sqrt.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z))) (sqrt.f64 z)) (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2)))) 2)) 1) (cbrt.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z)))
(.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2)))) 2)) (cbrt.f64 z)) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(.f64 (/.f64 4 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(.f64 (/.f64 4 (/.f64 z 1)) (+.f64 (-.f64 x y) (.f64 z -1/2)))
(.f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(.f64 (/.f64 4 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))))
(.f64 (/.f64 (/.f64 4 z) (/.f64 1 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(.f64 (/.f64 (/.f64 4 z) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(.f64 (/.f64 (/.f64 4 z) -1) (neg.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (/.f64 -4 (neg.f64 (neg.f64 z))) (neg.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (/.f64 (.f64 (/.f64 4 z) (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z)))) (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z)))) (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(.f64 (/.f64 (.f64 (/.f64 4 z) (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z)))) (+.f64 (pow.f64 (-.f64 x y) 3) (.f64 1/8 (pow.f64 z 3)))) (+.f64 (pow.f64 (-.f64 x y) 2) (-.f64 (.f64 1/4 (.f64 z z)) (.f64 (-.f64 x y) (*.f64 z 1/2)))))
(.f64 (/.f64 (.f64 (/.f64 4 z) (-.f64 (pow.f64 (-.f64 x y) 3) (.f64 1/8 (pow.f64 z 3)))) (-.f64 (.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 (-.f64 x y) 2)) (.f64 (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (.f64 z 1/2))) (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (.f64 z 1/2)))))) (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (.f64 z 1/2)))))
(.f64 (/.f64 (.f64 (/.f64 4 z) (-.f64 (pow.f64 (-.f64 x y) 3) (.f64 1/8 (pow.f64 z 3)))) (+.f64 (pow.f64 (pow.f64 (-.f64 x y) 2) 3) (pow.f64 (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (.f64 z 1/2))) 3))) (+.f64 (.f64 (pow.f64 (-.f64 x y) 2) (pow.f64 (-.f64 x y) 2)) (-.f64 (.f64 (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (.f64 z 1/2))) (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (.f64 z 1/2)))) (.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (.f64 z 1/2)))))))
(.f64 (/.f64 (.f64 4 (sqrt.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))))
(.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2)))) 2)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 1)
(pow.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 2)
(pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 3)
(pow.f64 (pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 z 4) (+.f64 (-.f64 x y) (*.f64 z -1/2))) -1)
(sqrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 4 z)) (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 3))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))
(exp.f64 (log.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 1))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))) 1)
(.f64 z (/.f64 1 (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2))) 1)
(.f64 1 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (sqrt.f64 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2)))) (sqrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 1 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2)))) (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2)))) 2) (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (/.f64 1 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (neg.f64 z) (/.f64 -1 (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (/.f64 1 (+.f64 (-.f64 x y) (.f64 z -1/2))) z)
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2)) (/.f64 z (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (/.f64 z 1) (/.f64 1 (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z)))) (.f64 z (+.f64 (-.f64 x y) (*.f64 z 1/2))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (-.f64 x y) 3) (.f64 1/8 (pow.f64 z 3)))) (.f64 z (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (.f64 z 1/2))))))
(.f64 (/.f64 z (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z)))) (+.f64 (-.f64 x y) (.f64 z 1/2)))
(.f64 (/.f64 z (-.f64 (pow.f64 (-.f64 x y) 3) (.f64 1/8 (pow.f64 z 3)))) (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2)))))
(.f64 -1 (/.f64 (neg.f64 z) (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (/.f64 -1 (+.f64 (-.f64 x y) (.f64 z -1/2))) (neg.f64 z))
(.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (/.f64 (sqrt.f64 z) (+.f64 (-.f64 x y) (.f64 z -1/2))) (sqrt.f64 z))
(.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (/.f64 (cbrt.f64 z) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2)) (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (/.f64 (/.f64 z 1) 1) (/.f64 1 (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (+.f64 (-.f64 x y) (.f64 z -1/2))) (cbrt.f64 z))
(.f64 (/.f64 (neg.f64 z) (neg.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z))))) (+.f64 (-.f64 x y) (.f64 z 1/2)))
(.f64 (/.f64 (neg.f64 z) (neg.f64 (-.f64 (pow.f64 (-.f64 x y) 3) (.f64 1/8 (pow.f64 z 3))))) (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2)))))
(.f64 (/.f64 z (neg.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z))))) (neg.f64 (+.f64 (-.f64 x y) (.f64 z 1/2))))
(.f64 (/.f64 z (neg.f64 (-.f64 (pow.f64 (-.f64 x y) 3) (.f64 1/8 (pow.f64 z 3))))) (neg.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2))))))
(.f64 (/.f64 z (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z -1/2) (.f64 z -1/2)))) (-.f64 (-.f64 x y) (*.f64 z -1/2)))
(.f64 (/.f64 z (-.f64 (.f64 x x) (.f64 (+.f64 y (.f64 z 1/2)) (+.f64 y (.f64 z 1/2))))) (+.f64 (+.f64 x y) (.f64 z 1/2)))
(.f64 (/.f64 z (+.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (.f64 z -1/2) 3))) (-.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z -1/2) (.f64 z -1/2))) (.f64 (-.f64 x y) (*.f64 z -1/2))))
(.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 y (.f64 z 1/2)) 3))) (+.f64 (.f64 x x) (+.f64 (.f64 (+.f64 y (.f64 z 1/2)) (+.f64 y (.f64 z 1/2))) (.f64 x (+.f64 y (.f64 z 1/2))))))
(.f64 (/.f64 1 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2)))) 2))) (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (/.f64 (/.f64 z 1) (neg.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z))))) (neg.f64 (+.f64 (-.f64 x y) (.f64 z 1/2))))
(.f64 (/.f64 (/.f64 z 1) (neg.f64 (-.f64 (pow.f64 (-.f64 x y) 3) (.f64 1/8 (pow.f64 z 3))))) (neg.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (*.f64 z 1/2))))))
(.f64 (/.f64 (/.f64 z 1) (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z -1/2) (.f64 z -1/2)))) (-.f64 (-.f64 x y) (*.f64 z -1/2)))
(.f64 (/.f64 (/.f64 z 1) (-.f64 (.f64 x x) (.f64 (+.f64 y (.f64 z 1/2)) (+.f64 y (.f64 z 1/2))))) (+.f64 (+.f64 x y) (.f64 z 1/2)))
(.f64 (/.f64 (/.f64 z 1) (+.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (.f64 z -1/2) 3))) (-.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z -1/2) (.f64 z -1/2))) (.f64 (-.f64 x y) (*.f64 z -1/2))))
(.f64 (/.f64 (/.f64 z 1) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 y (.f64 z 1/2)) 3))) (+.f64 (.f64 x x) (+.f64 (.f64 (+.f64 y (.f64 z 1/2)) (+.f64 y (.f64 z 1/2))) (.f64 x (+.f64 y (.f64 z 1/2))))))
(.f64 (/.f64 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z 1/2))))
(.f64 (/.f64 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 3) (.f64 1/8 (pow.f64 z 3))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (.f64 z 1/2))))))
(.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z))))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z 1/2))))
(.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 3) (.f64 1/8 (pow.f64 z 3))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (.f64 z 1/2))))))
(pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 1)
(pow.f64 (sqrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) -1)
(neg.f64 (/.f64 z (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(sqrt.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2))
(log.f64 (exp.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))))
(cbrt.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(exp.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(exp.f64 (.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))

Outputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 x y) (/.f64 z 4))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z))
(.f64 -4 (/.f64 (+.f64 y (.f64 z 1/2)) z))
(/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z)
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 (*.f64 -4 (fma.f64 z 1/2 y)) z))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(.f64 4 (/.f64 (-.f64 x (.f64 1/2 z)) z))
(.f64 4 (/.f64 (-.f64 x (.f64 z 1/2)) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 y z) (.f64 4 (/.f64 (-.f64 x (.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 (-.f64 x (.f64 z 1/2)) z) (/.f64 (.f64 y -4) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 y z) (.f64 4 (/.f64 (-.f64 x (.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 (-.f64 x (.f64 z 1/2)) z) (/.f64 (.f64 y -4) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(fma.f64 -4 (/.f64 y z) (.f64 4 (/.f64 (-.f64 x (.f64 z 1/2)) z)))
(fma.f64 4 (/.f64 (-.f64 x (.f64 z 1/2)) z) (/.f64 (.f64 y -4) z))
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 y -4) z)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 y -4) z)
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(fma.f64 -4 (+.f64 1/2 (/.f64 y z)) (*.f64 4 (/.f64 x z)))
(fma.f64 4 (/.f64 x z) (+.f64 (/.f64 (*.f64 y -4) z) -2))
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(.f64 (/.f64 (/.f64 z 1) (-.f64 (.f64 x x) (.f64 (+.f64 y (.f64 z 1/2)) (+.f64 y (.f64 z 1/2))))) (+.f64 (+.f64 x y) (.f64 z 1/2)))
(/.f64 (.f64 z (+.f64 x (+.f64 y (.f64 z 1/2)))) (-.f64 (.f64 x x) (pow.f64 (+.f64 y (.f64 z 1/2)) 2)))
(/.f64 z (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 z 1/2 y) 2)) (+.f64 x (fma.f64 z 1/2 y))))
(.f64 (/.f64 (/.f64 z 1) (+.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (.f64 z -1/2) 3))) (-.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z -1/2) (.f64 z -1/2))) (.f64 (-.f64 x y) (*.f64 z -1/2))))
(.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 x y) 3) (.f64 -1/8 (pow.f64 z 3)))) z) (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 z (.f64 1/2 (+.f64 (-.f64 x y) (.f64 z 1/2))))))
(.f64 (fma.f64 z (.f64 1/2 (fma.f64 z 1/2 (-.f64 x y))) (pow.f64 (-.f64 x y) 2)) (/.f64 z (fma.f64 (pow.f64 z 3) -1/8 (pow.f64 (-.f64 x y) 3))))
(.f64 (/.f64 (/.f64 z 1) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 y (.f64 z 1/2)) 3))) (+.f64 (.f64 x x) (+.f64 (.f64 (+.f64 y (.f64 z 1/2)) (+.f64 y (.f64 z 1/2))) (.f64 x (+.f64 y (.f64 z 1/2))))))
(.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 y (.f64 z 1/2)) 3))) (fma.f64 x x (.f64 (+.f64 y (.f64 z 1/2)) (+.f64 (+.f64 y (*.f64 z 1/2)) x))))
(/.f64 (.f64 z (fma.f64 (fma.f64 z 1/2 y) (+.f64 x (fma.f64 z 1/2 y)) (.f64 x x))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z 1/2 y) 3)))
(.f64 (/.f64 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z 1/2))))
(.f64 (/.f64 z (.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 -1/4 (.f64 z z)))) (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z 1/2))))
(.f64 (/.f64 z (.f64 (sqrt.f64 (-.f64 x (fma.f64 z 1/2 y))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 -1/4 z) z))))) (sqrt.f64 (fma.f64 z 1/2 (-.f64 x y))))
(.f64 (/.f64 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 x y) 3) (.f64 1/8 (pow.f64 z 3))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (.f64 z 1/2))))))
(.f64 (/.f64 z (.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (.f64 -1/8 (pow.f64 z 3)))) (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 z (.f64 1/2 (+.f64 (-.f64 x y) (*.f64 z 1/2)))))))
(.f64 (/.f64 z (.f64 (sqrt.f64 (-.f64 x (fma.f64 z 1/2 y))) (sqrt.f64 (fma.f64 (pow.f64 z 3) -1/8 (pow.f64 (-.f64 x y) 3))))) (sqrt.f64 (fma.f64 z (*.f64 1/2 (fma.f64 z 1/2 (-.f64 x y))) (pow.f64 (-.f64 x y) 2))))
(.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 2) (.f64 1/4 (.f64 z z))))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z 1/2))))
(.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 -1/4 (.f64 z z))))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z 1/2))))
(.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z 1/2 y))) 2)) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 (*.f64 -1/4 z) z)))) (cbrt.f64 (fma.f64 z 1/2 (-.f64 x y))))
(.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2)) (cbrt.f64 (-.f64 (pow.f64 (-.f64 x y) 3) (.f64 1/8 (pow.f64 z 3))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 (.f64 z 1/2) (+.f64 (-.f64 x y) (.f64 z 1/2))))))
(.f64 (/.f64 z (.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 3) (.f64 -1/8 (pow.f64 z 3)))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 x y) 2) (.f64 z (.f64 1/2 (+.f64 (-.f64 x y) (*.f64 z 1/2)))))))
(.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z 1/2 y))) 2)) (cbrt.f64 (fma.f64 (pow.f64 z 3) -1/8 (pow.f64 (-.f64 x y) 3)))) (cbrt.f64 (fma.f64 z (.f64 1/2 (fma.f64 z 1/2 (-.f64 x y))) (pow.f64 (-.f64 x y) 2))))
(pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 1)
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(pow.f64 (sqrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 2)
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(pow.f64 (cbrt.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))) 3)
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(pow.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3) 1/3)
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(pow.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) -1)
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(neg.f64 (/.f64 z (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(sqrt.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2))
(fabs.f64 (/.f64 z (-.f64 x (fma.f64 z 1/2 y))))
(log.f64 (exp.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))))))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(cbrt.f64 (pow.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 3)))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(expm1.f64 (log1p.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(exp.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(exp.f64 (.f64 (log.f64 (/.f64 z (+.f64 (-.f64 x y) (.f64 z -1/2)))) 1))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))
(log1p.f64 (expm1.f64 (/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(/.f64 z (+.f64 (-.f64 x y) (*.f64 z -1/2)))
(/.f64 z (-.f64 x (fma.f64 z 1/2 y)))

localize15.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4%	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Compiler

Compiled 41 to 22 computations (46.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
0.0ms	x	@	inf	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
0.0ms	y	@	inf	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
0.0ms	x	@	-inf	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
0.0ms	y	@	-inf	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

rewrite77.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`associate-/r*`
1344×	`associate-/l*`
570×	`associate-/r/`
334×	`associate-+l+`
300×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	275	31
2	3892	31

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

Inputs
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (.f64 4 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2))) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (.f64 (.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) (sqrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))) (.f64 (cbrt.f64 (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 2) (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) -4) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 z)) (/.f64 4 (/.f64 (sqrt.f64 z) (+.f64 (-.f64 x y) (.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 (cbrt.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 z) (+.f64 (-.f64 x y) (.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 z) (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 1/2) (/.f64 (.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) z) (.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 2)) (/.f64 (.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))) 1) (/.f64 (cbrt.f64 (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))) z) (cbrt.f64 (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 z 4)) (+.f64 (-.f64 x y) (.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (neg.f64 z)) (neg.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (/.f64 z 1)) (+.f64 (-.f64 x y) (.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 z (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))))) (cbrt.f64 (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (/.f64 1/4 (+.f64 (-.f64 x y) (.f64 z -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 4 (/.f64 (neg.f64 z) (+.f64 (-.f64 x y) (.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2))) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (*.f64 4 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (*.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (*.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 4 (/.f64 (sqrt.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 (cbrt.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 z) (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 1/2) (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z) (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 2)) (/.f64 (*.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) 1) (/.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) z) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 z 4)) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (neg.f64 z)) (neg.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 z 1)) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 z (cbrt.f64 (*.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))))) (cbrt.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 1/4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 4 (/.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))))))

simplify82.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1004×	`distribute-lft-in`
966×	`distribute-rgt-in`
926×	`associate-*r/`
784×	`associate-/l*`
694×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	2646
1	450	2476
2	1685	2398

Stop Event

1×	node limit

Counts

88 → 94

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (+.f64 1/2 (/.f64 y z))) (.f64 4 (/.f64 x z)))
(.f64 4 (/.f64 (-.f64 x (.f64 1/2 z)) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 (-.f64 x (*.f64 1/2 z)) z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (-.f64 (/.f64 x z) 1/2)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
-2
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)))) 1)
(.f64 4 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 1 z)))
(.f64 4 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z))
(.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (*.f64 4 (/.f64 1 z)))
(.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))
(.f64 (.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))) (/.f64 1 z))
(.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)) 1)
(.f64 1 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z)))
(.f64 (.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (.f64 (.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (/.f64 1 z)))
(.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) (sqrt.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(.f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))) (.f64 (cbrt.f64 (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (/.f64 1 z)))
(.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) (pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 2) (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(.f64 (/.f64 1 z) (.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4) (/.f64 -1 z))
(.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 4 (/.f64 (sqrt.f64 z) (+.f64 (-.f64 x y) (.f64 z -1/2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 (cbrt.f64 z) 4)))
(.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z) 4)
(.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))
(.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (.f64 z -1/2)))
(.f64 (/.f64 -1 z) (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) -4))
(.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (sqrt.f64 z)))
(.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (cbrt.f64 z)))
(.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 1/2) (/.f64 (.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) z))
(.f64 (/.f64 (.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) z) (.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 2)) (/.f64 (.f64 2 (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))) (cbrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))) 1) (/.f64 (cbrt.f64 (.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) z))
(.f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))) (sqrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(.f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))) z) (cbrt.f64 (.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (/.f64 4 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(.f64 (/.f64 1 (/.f64 z 4)) (+.f64 (-.f64 x y) (.f64 z -1/2)))
(.f64 (/.f64 4 (neg.f64 z)) (neg.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))
(.f64 (/.f64 4 (/.f64 z 1)) (+.f64 (-.f64 x y) (.f64 z -1/2)))
(.f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(.f64 (/.f64 1 (/.f64 z (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))))) (cbrt.f64 (.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 1)
(pow.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 2)
(pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 3)
(pow.f64 (pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 3) 1/3)
(pow.f64 (.f64 z (/.f64 1/4 (+.f64 (-.f64 x y) (.f64 z -1/2)))) -1)
(neg.f64 (/.f64 4 (/.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(sqrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 2))
(log.f64 (exp.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2))) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))
(exp.f64 (log.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 1))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))

Outputs
(.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z))
(/.f64 -4 (/.f64 z (fma.f64 1/2 z y)))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 -4 (/.f64 (+.f64 y (*.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (.f64 -4 (/.f64 (+.f64 y (.f64 1/2 z)) z)))
(fma.f64 4 (/.f64 x z) (/.f64 -4 (/.f64 z (fma.f64 1/2 z y))))
(fma.f64 -4 (-.f64 (/.f64 y z) -1/2) (*.f64 4 (/.f64 x z)))
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(.f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 -4 (fma.f64 1/2 z (-.f64 y x)))) (sqrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))))
(.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) 2))) (pow.f64 (cbrt.f64 z) 2)))
(.f64 (cbrt.f64 (.f64 4 (/.f64 (-.f64 x (fma.f64 1/2 z y)) z))) (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (pow.f64 (cbrt.f64 z) 2)))
(/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (fma.f64 (-.f64 x y) (/.f64 4 z) -2))))
(.f64 (/.f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))) z) (cbrt.f64 (.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))) (.f64 (/.f64 1 z) (cbrt.f64 (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2))))))
(.f64 (cbrt.f64 (.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 1/2 z y)))) z))
(.f64 (cbrt.f64 (.f64 -4 (fma.f64 1/2 z (-.f64 y x)))) (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) z))
(.f64 (/.f64 4 (/.f64 z (sqrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))) (sqrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(.f64 (/.f64 1 (/.f64 z 4)) (+.f64 (-.f64 x y) (.f64 z -1/2)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(.f64 (/.f64 4 (neg.f64 z)) (neg.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(.f64 (/.f64 4 (/.f64 z 1)) (+.f64 (-.f64 x y) (.f64 z -1/2)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(.f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 (-.f64 x y) (.f64 z -1/2))) 2))) (cbrt.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(.f64 (/.f64 1 (/.f64 z (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))))) (cbrt.f64 (.f64 4 (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(.f64 (cbrt.f64 (.f64 16 (pow.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) 2))) (.f64 (/.f64 1 z) (cbrt.f64 (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2))))))
(.f64 (cbrt.f64 (.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) (/.f64 (cbrt.f64 (*.f64 4 (-.f64 x (fma.f64 1/2 z y)))) z))
(.f64 (cbrt.f64 (.f64 -4 (fma.f64 1/2 z (-.f64 y x)))) (/.f64 (cbrt.f64 (*.f64 16 (pow.f64 (-.f64 x (fma.f64 1/2 z y)) 2))) z))
(pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 1)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(pow.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 2)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))) 3)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(pow.f64 (pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 3) 1/3)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(pow.f64 (.f64 z (/.f64 1/4 (+.f64 (-.f64 x y) (.f64 z -1/2)))) -1)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(neg.f64 (/.f64 4 (/.f64 (neg.f64 z) (+.f64 (-.f64 x y) (*.f64 z -1/2)))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(sqrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 2))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(log.f64 (exp.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(cbrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z)) 3))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(cbrt.f64 (/.f64 (pow.f64 (.f64 4 (+.f64 (-.f64 x y) (.f64 z -1/2))) 3) (pow.f64 z 3)))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(expm1.f64 (log1p.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(exp.f64 (log.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (-.f64 x y) (*.f64 z -1/2)) (/.f64 4 z))) 1))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)
(log1p.f64 (expm1.f64 (.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) (/.f64 4 z))))
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
(fma.f64 (-.f64 x y) (/.f64 4 z) -2)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 (-.f64 x y) z)

Compiler

Compiled 24 to 10 computations (58.3% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(/.f64 (-.f64 x y) z)
0.0ms	x	@	-inf	(/.f64 (-.f64 x y) z)
0.0ms	z	@	inf	(/.f64 (-.f64 x y) z)
0.0ms	x	@	0	(/.f64 (-.f64 x y) z)
0.0ms	z	@	0	(/.f64 (-.f64 x y) z)

rewrite61.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2000×	`add-sqr-sqrt`
1984×	`*-un-lft-identity`
1860×	`add-cube-cbrt`
1836×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	158	13
2	2346	13

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

916×	`associate-+l+`
866×	`*-commutative`
644×	`associate-*r/`
622×	`distribute-lft-neg-out`
542×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	864
1	224	840
2	844	840
3	4390	840

Stop Event

1×	node limit

Counts

58 → 47

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (/.f64 x z) (neg.f64 (/.f64 y z)))
(-.f64 (/.f64 x z) (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) 1)
(*.f64 (-.f64 x y) (/.f64 1 z))
(*.f64 (/.f64 (-.f64 x y) z) 1)
(*.f64 1 (/.f64 (-.f64 x y) z))
(.f64 (sqrt.f64 (-.f64 x y)) (.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 z)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 z)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (/.f64 1 z) (-.f64 x y))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (.f64 z z))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (.f64 z z))) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(pow.f64 (/.f64 (-.f64 x y) z) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 1/3)
(pow.f64 (/.f64 z (-.f64 x y)) -1)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 z)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x y) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) z))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) z)))
(exp.f64 (log.f64 (/.f64 (-.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) z)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z)))

Outputs
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 (-.f64 x y) z)
(+.f64 (/.f64 x z) (neg.f64 (/.f64 y z)))
(/.f64 (-.f64 x y) z)
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) z))) 1)
(/.f64 (-.f64 x y) z)
(*.f64 (-.f64 x y) (/.f64 1 z))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 (-.f64 x y) z) 1)
(/.f64 (-.f64 x y) z)
(*.f64 1 (/.f64 (-.f64 x y) z))
(/.f64 (-.f64 x y) z)
(.f64 (sqrt.f64 (-.f64 x y)) (.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 z)))
(/.f64 (-.f64 x y) z)
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 z)))
(/.f64 (-.f64 x y) z)
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2))
(/.f64 (-.f64 x y) z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 1 z) (-.f64 x y))
(/.f64 (-.f64 x y) z)
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 z)))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z)))
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)))
(/.f64 (-.f64 x y) (.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(/.f64 (-.f64 x y) z)
(.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (.f64 z z))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 z z))) (/.f64 (-.f64 x y) (cbrt.f64 z)))
(/.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)))
(/.f64 (-.f64 x y) (.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
(/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) (sqrt.f64 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (.f64 z z))) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (.f64 z z))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 (/.f64 (-.f64 x y) z))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (/.f64 (-.f64 x y) z))) (cbrt.f64 (.f64 z z)))
(pow.f64 (/.f64 (-.f64 x y) z) 1)
(/.f64 (-.f64 x y) z)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) 2)
(/.f64 (-.f64 x y) z)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 3)
(/.f64 (-.f64 x y) z)
(pow.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3) 1/3)
(/.f64 (-.f64 x y) z)
(pow.f64 (/.f64 z (-.f64 x y)) -1)
(/.f64 (-.f64 x y) z)
(neg.f64 (/.f64 (-.f64 x y) (neg.f64 z)))
(/.f64 (-.f64 x y) z)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2))
(/.f64 (-.f64 x y) z)
(log.f64 (exp.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) z))))
(/.f64 (-.f64 x y) z)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3))
(/.f64 (-.f64 x y) z)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(exp.f64 (log.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) z)) 1))
(/.f64 (-.f64 x y) z)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)

eval141.0ms (2.6%)

Compiler: Compiled 8467 to 4973 computations (41.3% saved)

prune189.0ms (3.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	397	8	405
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	400	8	408

Error

Counts

408 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	46.08%	(/.f64 4 (/.f64 z (-.f64 x y)))
▶	75.32%	(/.f64 4 (/.f64 z x))
▶	68.11%	(/.f64 -4 (/.f64 z y))
▶	0.02%	(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
▶	75.25%	(*.f64 4 (/.f64 x z))
▶	67.97%	(*.f64 -4 (/.f64 y z))
	23.16%	(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
	52.3%	-2

Compiler

Compiled 132 to 100 computations (24.2% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 4 (/.f64 (-.f64 x y) z))
	0.02%	(/.f64 (-.f64 x y) z)

Compiler

Compiled 32 to 13 computations (59.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 4 (/.f64 (-.f64 x y) z))
0.0ms	z	@	-inf	(*.f64 4 (/.f64 (-.f64 x y) z))
0.0ms	z	@	inf	(*.f64 4 (/.f64 (-.f64 x y) z))
0.0ms	z	@	0	(*.f64 4 (/.f64 (-.f64 x y) z))
0.0ms	y	@	0	(*.f64 4 (/.f64 (-.f64 x y) z))

rewrite71.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`associate-*l/`
1414×	`associate-/r*`
1160×	`associate-/l*`
1016×	`*-commutative`
492×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	202	19
2	2839	19

Stop Event

1×	node limit

Counts

1 → 97

Calls

Call 1

Inputs
(*.f64 4 (/.f64 (-.f64 x y) z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 (/.f64 x z)) (*.f64 4 (neg.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 z (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (/.f64 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 z (-.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 x y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x y)) (/.f64 (neg.f64 z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 4 (-.f64 x y))) (/.f64 z (sqrt.f64 (*.f64 4 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 4 (-.f64 x y))) (cbrt.f64 (*.f64 4 (-.f64 x y)))) (/.f64 z (cbrt.f64 (*.f64 4 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y)))) (sqrt.f64 (/.f64 z (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (sqrt.f64 (-.f64 x y))) (/.f64 z (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 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z) (/.f64 x z)) (+.f64 (*.f64 (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 x z) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x z) (*.f64 y z)) 4) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (neg.f64 (-.f64 x y))) 4) (neg.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 (/.f64 z (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 (sqrt.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 x y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (cbrt.f64 (/.f64 z (-.f64 x y))))) (cbrt.f64 (/.f64 z (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 z (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 1 (sqrt.f64 (-.f64 x y)))) (/.f64 z (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 z (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 (sqrt.f64 z) 1)) (/.f64 (sqrt.f64 z) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y)))) (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)) (/.f64 (cbrt.f64 z) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y)))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) -1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) -1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))))))

simplify135.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1344×	`distribute-lft-in`
1318×	`distribute-rgt-in`
748×	`associate-/l*`
554×	`distribute-lft-neg-in`
512×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	4111
1	871	3473
2	3842	3469

Stop Event

1×	node limit

Counts

121 → 165

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 4 (/.f64 x z)) (.f64 4 (neg.f64 (/.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) 1)
(/.f64 4 (/.f64 z (-.f64 x y)))
(/.f64 (-.f64 x y) (/.f64 z 4))
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)
(/.f64 1 (/.f64 (/.f64 z (-.f64 x y)) 4))
(/.f64 (*.f64 4 (-.f64 x y)) z)
(/.f64 (neg.f64 (-.f64 x y)) (/.f64 (neg.f64 z) 4))
(/.f64 (sqrt.f64 (.f64 4 (-.f64 x y))) (/.f64 z (sqrt.f64 (.f64 4 (-.f64 x y)))))
(/.f64 (.f64 (cbrt.f64 (.f64 4 (-.f64 x y))) (cbrt.f64 (.f64 4 (-.f64 x y)))) (/.f64 z (cbrt.f64 (.f64 4 (-.f64 x y)))))
(/.f64 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y)))) (sqrt.f64 (/.f64 z (-.f64 x y))))
(/.f64 (*.f64 4 (sqrt.f64 (-.f64 x y))) (/.f64 z (sqrt.f64 (-.f64 x y))))
(/.f64 (*.f64 4 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 z (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 4 z) (/.f64 1 (-.f64 x y)))
(/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 z))
(/.f64 (.f64 4 (-.f64 (.f64 x x) (.f64 y y))) (.f64 z (+.f64 x y)))
(/.f64 (.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 z))
(/.f64 (*.f64 1 (/.f64 4 z)) (/.f64 1 (-.f64 x y)))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 4 z)) (+.f64 x y))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 4 z)) (fma.f64 x x (.f64 y (+.f64 x y))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 x x) (*.f64 y y))) (/.f64 4 z)) (neg.f64 (+.f64 x y)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 4 z)) (neg.f64 (fma.f64 x x (.f64 y (+.f64 x y)))))
(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (/.f64 4 z)) (-.f64 x (neg.f64 y)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3)) (/.f64 4 z)) (-.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 x (neg.f64 y))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (/.f64 1 z)) 4) (+.f64 x y))
(/.f64 (.f64 (.f64 (/.f64 1 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) 4) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) 4) (sqrt.f64 z))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) 4) (cbrt.f64 z))
(/.f64 -4 (neg.f64 (/.f64 z (-.f64 x y))))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (/.f64 y z) (/.f64 y z))) 4) (+.f64 (/.f64 x z) (/.f64 y z)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 (/.f64 y z) 3)) 4) (+.f64 (.f64 (/.f64 x z) (/.f64 x z)) (+.f64 (.f64 (/.f64 y z) (/.f64 y z)) (.f64 (/.f64 x z) (/.f64 y z)))))
(/.f64 (.f64 (-.f64 (.f64 x z) (.f64 y z)) 4) (.f64 z z))
(/.f64 (*.f64 (neg.f64 (neg.f64 (-.f64 x y))) 4) (neg.f64 (neg.f64 z)))
(/.f64 (.f64 (.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z))
(/.f64 (.f64 (/.f64 (.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z))
(/.f64 (.f64 (/.f64 (.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z))
(/.f64 (.f64 (neg.f64 (.f64 4 (-.f64 x y))) 1) (neg.f64 z))
(/.f64 (*.f64 1 (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 (/.f64 z (-.f64 x y))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 z))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (-.f64 x y))) (/.f64 4 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 (neg.f64 z)))
(/.f64 (.f64 (sqrt.f64 (.f64 4 (-.f64 x y))) (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y))))) (sqrt.f64 z))
(/.f64 (.f64 (cbrt.f64 (.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2)) (cbrt.f64 z))
(/.f64 (.f64 (.f64 4 (-.f64 (.f64 x x) (.f64 y y))) (/.f64 1 z)) (+.f64 x y))
(/.f64 (.f64 (.f64 4 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 1 z)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (*.f64 4 (/.f64 (-.f64 x y) (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (cbrt.f64 (/.f64 z (-.f64 x y))))) (cbrt.f64 (/.f64 z (-.f64 x y))))
(/.f64 (/.f64 4 (/.f64 z (-.f64 (.f64 x x) (.f64 y y)))) (+.f64 x y))
(/.f64 (/.f64 4 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (/.f64 4 (/.f64 1 (sqrt.f64 (-.f64 x y)))) (/.f64 z (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 4 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 z (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) 1)) (/.f64 (sqrt.f64 z) (-.f64 x y)))
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y)))) (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)) (/.f64 (cbrt.f64 z) (-.f64 x y)))
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y)))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y))))
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (.f64 4 (neg.f64 (-.f64 x y))) (.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) -1) z)
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (neg.f64 (.f64 4 (-.f64 x y))) (.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) -1) z)
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)
(pow.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))
(log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))

Outputs
(*.f64 -4 (/.f64 y z))
(/.f64 -4 (/.f64 z y))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
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(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (cbrt.f64 (/.f64 z (-.f64 x y))))) (cbrt.f64 (/.f64 z (-.f64 x y))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 4 (/.f64 z (-.f64 (.f64 x x) (.f64 y y)))) (+.f64 x y))
(.f64 (/.f64 4 z) (/.f64 (.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)))
(*.f64 (/.f64 4 z) (/.f64 (-.f64 x y) (/.f64 (+.f64 y x) (+.f64 y x))))
(/.f64 (/.f64 4 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 y x))))
(/.f64 (/.f64 4 (/.f64 1 (sqrt.f64 (-.f64 x y)))) (/.f64 z (sqrt.f64 (-.f64 x y))))
(.f64 (/.f64 (.f64 4 (sqrt.f64 (-.f64 x y))) z) (sqrt.f64 (-.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 z 4)))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 (/.f64 z (sqrt.f64 (-.f64 x y)))))
(/.f64 (/.f64 4 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 z (cbrt.f64 (-.f64 x y))))
(.f64 (/.f64 (.f64 4 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) z) (cbrt.f64 (-.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 z 4)))
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) 1)) (/.f64 (sqrt.f64 z) (-.f64 x y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y)))) (/.f64 (sqrt.f64 z) (sqrt.f64 (-.f64 x y))))
(.f64 (/.f64 (.f64 (/.f64 4 (sqrt.f64 z)) (sqrt.f64 (-.f64 x y))) (sqrt.f64 z)) (sqrt.f64 (-.f64 x y)))
(.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 (sqrt.f64 z))) (sqrt.f64 z)))
(/.f64 (/.f64 4 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y))))
(/.f64 (*.f64 (/.f64 4 (sqrt.f64 z)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y))))
(/.f64 4 (/.f64 (*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y))) (sqrt.f64 z)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 4 (sqrt.f64 z))) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 x y))))
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)) (/.f64 (cbrt.f64 z) (-.f64 x y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y)))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y))))
(/.f64 (*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y)))))
(/.f64 (/.f64 4 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (/.f64 (cbrt.f64 z) (cbrt.f64 (-.f64 x y))))
(.f64 (/.f64 (.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 z)) (cbrt.f64 (-.f64 x y)))
(.f64 (cbrt.f64 (-.f64 x y)) (/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 4 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)))
(.f64 (cbrt.f64 (-.f64 x y)) (/.f64 4 (.f64 (cbrt.f64 z) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) 1) (neg.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (.f64 4 (neg.f64 (-.f64 x y))) (.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) -1) z)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (*.f64 4 (neg.f64 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) 1) (sqrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (.f64 4 (-.f64 x y)) (sqrt.f64 z)) (.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) (/.f64 4 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))) (sqrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (.f64 4 (-.f64 x y)) (sqrt.f64 z)) (.f64 (sqrt.f64 (cbrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))
(/.f64 4 (.f64 (.f64 (fabs.f64 (cbrt.f64 z)) (sqrt.f64 (cbrt.f64 z))) (/.f64 (sqrt.f64 z) (-.f64 x y))))
(*.f64 (/.f64 4 (sqrt.f64 (cbrt.f64 z))) (/.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (fabs.f64 (cbrt.f64 z))))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) 1) (cbrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 (cbrt.f64 z)))
(/.f64 (.f64 4 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2))) (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))))
(*.f64 (/.f64 4 (cbrt.f64 (cbrt.f64 z))) (/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))))
(*.f64 (/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (cbrt.f64 z))) (/.f64 4 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))))
(/.f64 (/.f64 (/.f64 (.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (/.f64 (*.f64 4 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (.f64 4 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2))) (.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))))
(/.f64 4 (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))) (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2))))
(/.f64 (.f64 -4 (/.f64 (-.f64 y x) (pow.f64 (cbrt.f64 z) 2))) (.f64 (cbrt.f64 (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 z))))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) 1) (neg.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (neg.f64 (.f64 4 (-.f64 x y))) (.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) -1) z)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(/.f64 (/.f64 (neg.f64 (*.f64 4 (-.f64 x y))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(pow.f64 (/.f64 2 (sqrt.f64 (/.f64 z (-.f64 x y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3) 1/3)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) z) 2) 16))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2))
(sqrt.f64 (pow.f64 (*.f64 -4 (/.f64 (-.f64 y x) z)) 2))
(log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 (-.f64 y x) z))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 -4 (/.f64 y z))

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 -4 (/.f64 y z))
1.0ms	y	@	inf	(*.f64 -4 (/.f64 y z))
0.0ms	y	@	0	(*.f64 -4 (/.f64 y z))
0.0ms	z	@	inf	(*.f64 -4 (/.f64 y z))
0.0ms	y	@	-inf	(*.f64 -4 (/.f64 y z))

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`add-sqr-sqrt`
1500×	`*-un-lft-identity`
1404×	`add-cube-cbrt`
1388×	`add-cbrt-cube`
1374×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1851	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 y z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 -4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) -4) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -4 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y z)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z))))))))

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1046×	`associate-r`
990×	`distribute-rgt-neg-out`
966×	`distribute-lft-neg-out`
926×	`associate-l`
652×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	531
1	146	417
2	546	297
3	3917	297

Stop Event

1×	node limit

Counts

21 → 28

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1)
(/.f64 -4 (/.f64 z y))
(/.f64 1 (/.f64 z (*.f64 -4 y)))
(/.f64 (*.f64 -4 y) z)
(/.f64 (*.f64 -4 (neg.f64 y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) -4) (neg.f64 z))
(/.f64 (/.f64 (*.f64 -4 y) 1) z)
(/.f64 (/.f64 (*.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 -4 y) (cbrt.f64 (.f64 z z))) (cbrt.f64 z))
(/.f64 (neg.f64 (*.f64 -4 y)) (neg.f64 z))
(pow.f64 (*.f64 -4 (/.f64 y z)) 1)
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) 2) 16))
(log.f64 (pow.f64 (exp.f64 (/.f64 y z)) -4))
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 -4 (/.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 -4 (/.f64 y z))) 1))
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z))))

Outputs
(-.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) 1)
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 -4 (/.f64 z y))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 -4 y)))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 -4 y) z)
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 -4 (neg.f64 y)) (neg.f64 z))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 (*.f64 (neg.f64 y) -4) (neg.f64 z))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 (/.f64 (*.f64 -4 y) 1) z)
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 (/.f64 (*.f64 -4 y) (sqrt.f64 z)) (sqrt.f64 z))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(/.f64 (/.f64 (.f64 -4 y) (cbrt.f64 (.f64 z z))) (cbrt.f64 z))
(/.f64 (.f64 -4 y) (.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z z))))
(.f64 (/.f64 -4 (cbrt.f64 z)) (/.f64 y (cbrt.f64 (.f64 z z))))
(.f64 (/.f64 -4 (cbrt.f64 (.f64 z z))) (/.f64 y (cbrt.f64 z)))
(/.f64 (neg.f64 (*.f64 -4 y)) (neg.f64 z))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(pow.f64 (*.f64 -4 (/.f64 y z)) 1)
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 y z) 2) 16))
(fabs.f64 (*.f64 -4 (/.f64 y z)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y z)) -4))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(exp.f64 (log.f64 (*.f64 -4 (/.f64 y z))))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(exp.f64 (.f64 (log.f64 (.f64 -4 (/.f64 y z))) 1))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z))))
(+.f64 (+.f64 1 (*.f64 -4 (/.f64 y z))) -1)
(+.f64 (*.f64 -4 (/.f64 y z)) 0)
(*.f64 -4 (/.f64 y z))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.03%	(*.f64 4 (/.f64 x z))

Compiler

Compiled 14 to 7 computations (50% saved)

series4.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(*.f64 4 (/.f64 x z))
0.0ms	x	@	0	(*.f64 4 (/.f64 x z))
0.0ms	z	@	inf	(*.f64 4 (/.f64 x z))
0.0ms	x	@	inf	(*.f64 4 (/.f64 x z))
0.0ms	z	@	-inf	(*.f64 4 (/.f64 x z))

rewrite55.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`add-sqr-sqrt`
1494×	`*-un-lft-identity`
1398×	`add-cube-cbrt`
1382×	`add-cbrt-cube`
1368×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	148	13
2	1849	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 4 (/.f64 x z))

Outputs

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

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1336×	`distribute-lft-neg-out`
1066×	`associate-r`
964×	`associate-l`
956×	`associate-+r+`
896×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	525
1	145	399
2	559	273
3	4042	273

Stop Event

1×	node limit

Counts

21 → 24

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1)
(/.f64 4 (/.f64 z x))
(/.f64 1 (/.f64 z (*.f64 4 x)))
(/.f64 (*.f64 4 x) z)
(/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) 4) (neg.f64 z))
(/.f64 (/.f64 (*.f64 4 x) 1) z)
(/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z))
(pow.f64 (*.f64 4 (/.f64 x z)) 1)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 x z)) 2) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) 4))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z))))
(exp.f64 (.f64 (log.f64 (.f64 4 (/.f64 x z))) 1))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z))))

Outputs
(-.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) 1)
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 4 (/.f64 z x))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 1 (/.f64 z (*.f64 4 x)))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 4 x) z)
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 4 (neg.f64 x)) (neg.f64 z))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 (*.f64 (neg.f64 x) 4) (neg.f64 z))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 (/.f64 (*.f64 4 x) 1) z)
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 (/.f64 (*.f64 4 x) (sqrt.f64 z)) (sqrt.f64 z))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 (/.f64 (*.f64 4 x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(/.f64 (neg.f64 (*.f64 4 x)) (neg.f64 z))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(pow.f64 (*.f64 4 (/.f64 x z)) 1)
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 x z)) 2) 2)
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3)
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) 4))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z))))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z))))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(exp.f64 (.f64 (log.f64 (.f64 4 (/.f64 x z))) 1))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z))))
(+.f64 (+.f64 1 (*.f64 4 (/.f64 x z))) -1)
(+.f64 (*.f64 4 (/.f64 x z)) 0)
(*.f64 4 (/.f64 x z))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.71%	(/.f64 -4 (/.f64 z y))

Compiler

Compiled 14 to 7 computations (50% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 -4 (/.f64 z y))
0.0ms	z	@	inf	(/.f64 -4 (/.f64 z y))
0.0ms	y	@	inf	(/.f64 -4 (/.f64 z y))
0.0ms	z	@	-inf	(/.f64 -4 (/.f64 z y))
0.0ms	y	@	-inf	(/.f64 -4 (/.f64 z y))

rewrite57.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1494×	`add-cube-cbrt`
1478×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	154	13
2	2010	13

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(/.f64 -4 (/.f64 z y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 -4 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -4 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) (sqrt.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2) (cbrt.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) -1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z))))))))

simplify50.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1260×	`associate-/l*`
1096×	`distribute-lft-in`
1016×	`distribute-rgt-in`
880×	`associate-+r+`
830×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	706
1	165	706
2	651	706
3	2582	706

Stop Event

1×	node limit

Counts

52 → 31

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 y z)))) 1)
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(.f64 (.f64 -4 (/.f64 y z)) 1)
(.f64 1 (.f64 -4 (/.f64 y z)))
(.f64 (sqrt.f64 (.f64 -4 (/.f64 y z))) (sqrt.f64 (*.f64 -4 (/.f64 y z))))
(.f64 (cbrt.f64 (.f64 -4 (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 -4 (/.f64 y z))) 2) (cbrt.f64 (*.f64 -4 (/.f64 y z))))
(*.f64 (/.f64 -4 z) y)
(*.f64 (/.f64 y z) -4)
(*.f64 4 (/.f64 1 (/.f64 (neg.f64 z) y)))
(.f64 (.f64 (/.f64 -4 z) 1) y)
(.f64 (.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (/.f64 -4 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(*.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y))
(pow.f64 (*.f64 -4 (/.f64 y z)) 1)
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 z y) -1/4) -1)
(sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z y) 2)))
(log.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 -4 (/.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 -4 (/.f64 y z))) 1))
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z))))

Outputs
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 y z)))) 1)
(*.f64 -4 (/.f64 y z))
(*.f64 -4 (/.f64 y z))
(*.f64 y (/.f64 -4 z))
(*.f64 -4 (/.f64 y z))
(.f64 (.f64 -4 (/.f64 y z)) 1)
(*.f64 -4 (/.f64 y z))
(.f64 1 (.f64 -4 (/.f64 y z)))
(*.f64 -4 (/.f64 y z))
(.f64 (sqrt.f64 (.f64 -4 (/.f64 y z))) (sqrt.f64 (*.f64 -4 (/.f64 y z))))
(*.f64 -4 (/.f64 y z))
(.f64 (cbrt.f64 (.f64 -4 (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 2))
(*.f64 -4 (/.f64 y z))
(.f64 (pow.f64 (cbrt.f64 (.f64 -4 (/.f64 y z))) 2) (cbrt.f64 (*.f64 -4 (/.f64 y z))))
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 -4 z) y)
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 y z) -4)
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 1 (/.f64 (neg.f64 z) y)))
(*.f64 -4 (/.f64 y z))
(.f64 (.f64 (/.f64 -4 z) 1) y)
(*.f64 -4 (/.f64 y z))
(.f64 (.f64 (/.f64 -4 z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 -4 (/.f64 y z))
(.f64 (.f64 (/.f64 -4 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(.f64 (/.f64 -4 z) (.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(*.f64 (/.f64 -4 (neg.f64 z)) (neg.f64 y))
(*.f64 -4 (/.f64 y z))
(pow.f64 (*.f64 -4 (/.f64 y z)) 1)
(*.f64 -4 (/.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 y z))) 2)
(*.f64 -4 (/.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 y z))) 3)
(*.f64 -4 (/.f64 y z))
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3) 1/3)
(*.f64 -4 (/.f64 y z))
(pow.f64 (*.f64 (/.f64 z y) -1/4) -1)
(*.f64 -4 (/.f64 y z))
(sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z y) 2)))
(sqrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) -1/4) -2))
(log.f64 (pow.f64 (exp.f64 -4) (/.f64 y z)))
(*.f64 -4 (/.f64 y z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 y z)))))
(*.f64 -4 (/.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 y z)) 3))
(*.f64 -4 (/.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 y z))))
(*.f64 -4 (/.f64 y z))
(exp.f64 (log.f64 (*.f64 -4 (/.f64 y z))))
(*.f64 -4 (/.f64 y z))
(exp.f64 (.f64 (log.f64 (.f64 -4 (/.f64 y z))) 1))
(*.f64 -4 (/.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 y z))))
(*.f64 -4 (/.f64 y z))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.76%	(/.f64 4 (/.f64 z x))

Compiler

Compiled 14 to 7 computations (50% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 4 (/.f64 z x))
0.0ms	z	@	inf	(/.f64 4 (/.f64 z x))
0.0ms	z	@	-inf	(/.f64 4 (/.f64 z x))
0.0ms	x	@	inf	(/.f64 4 (/.f64 z x))
0.0ms	x	@	-inf	(/.f64 4 (/.f64 z x))

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`add-sqr-sqrt`
1586×	`*-un-lft-identity`
1492×	`add-cube-cbrt`
1476×	`add-cbrt-cube`
150×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	155	13
2	2022	13

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(/.f64 4 (/.f64 z x))

Outputs

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

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1080×	`associate-/r*`
848×	`fma-def`
738×	`log-prod`
730×	`associate-/r/`
688×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	676
1	173	676
2	598	676
3	2735	676

Stop Event

1×	node limit

Counts

52 → 28

Calls

Call 1

Inputs
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) 1)
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(.f64 (.f64 4 (/.f64 x z)) 1)
(.f64 1 (.f64 4 (/.f64 x z)))
(.f64 (.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))))
(.f64 (cbrt.f64 (.f64 4 (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 4 (/.f64 x z))) 2) (cbrt.f64 (*.f64 4 (/.f64 x z))))
(*.f64 (/.f64 4 z) x)
(*.f64 (/.f64 x z) 4)
(*.f64 -4 (/.f64 1 (/.f64 (neg.f64 z) x)))
(.f64 (.f64 (/.f64 4 z) 1) x)
(.f64 (.f64 (/.f64 4 z) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (/.f64 4 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 4 (neg.f64 z)) (neg.f64 x))
(pow.f64 (*.f64 4 (/.f64 x z)) 1)
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 z x) 1/4) -1)
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))
(log.f64 (pow.f64 (exp.f64 4) (/.f64 x z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 x z)))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z))))
(exp.f64 (.f64 (log.f64 (.f64 4 (/.f64 x z))) 1))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z))))

Outputs
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 x z)))) 1)
(*.f64 4 (/.f64 x z))
(*.f64 4 (/.f64 x z))
(*.f64 x (/.f64 4 z))
(*.f64 4 (/.f64 x z))
(.f64 (.f64 4 (/.f64 x z)) 1)
(*.f64 4 (/.f64 x z))
(.f64 1 (.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(.f64 (.f64 2 (sqrt.f64 (/.f64 x z))) (*.f64 2 (sqrt.f64 (/.f64 x z))))
(*.f64 4 (/.f64 x z))
(.f64 (cbrt.f64 (.f64 4 (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 2))
(*.f64 4 (/.f64 x z))
(.f64 (pow.f64 (cbrt.f64 (.f64 4 (/.f64 x z))) 2) (cbrt.f64 (*.f64 4 (/.f64 x z))))
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 z) x)
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 x z) 4)
(*.f64 4 (/.f64 x z))
(*.f64 -4 (/.f64 1 (/.f64 (neg.f64 z) x)))
(*.f64 4 (/.f64 x z))
(.f64 (.f64 (/.f64 4 z) 1) x)
(*.f64 4 (/.f64 x z))
(.f64 (.f64 (/.f64 4 z) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 4 (/.f64 x z))
(.f64 (.f64 (/.f64 4 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 4 (/.f64 x z))
(*.f64 (/.f64 4 (neg.f64 z)) (neg.f64 x))
(*.f64 4 (/.f64 x z))
(pow.f64 (*.f64 4 (/.f64 x z)) 1)
(*.f64 4 (/.f64 x z))
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 x z))) 2)
(*.f64 4 (/.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 x z))) 3)
(*.f64 4 (/.f64 x z))
(pow.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3) 1/3)
(*.f64 4 (/.f64 x z))
(pow.f64 (*.f64 (/.f64 z x) 1/4) -1)
(*.f64 4 (/.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 2))
(*.f64 4 (/.f64 x z))
(log.f64 (pow.f64 (exp.f64 4) (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 x z)))))
(*.f64 4 (/.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 x z)) 3))
(*.f64 4 (/.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 x z))))
(*.f64 4 (/.f64 x z))
(exp.f64 (log.f64 (*.f64 4 (/.f64 x z))))
(*.f64 4 (/.f64 x z))
(exp.f64 (.f64 (log.f64 (.f64 4 (/.f64 x z))) 1))
(*.f64 4 (/.f64 x z))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 x z))))
(*.f64 4 (/.f64 x z))

eval66.0ms (1.2%)

Compiler: Compiled 4455 to 2194 computations (50.8% saved)

prune51.0ms (0.9%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	321	2	323
Fresh	1	2	3
Picked	0	1	1
Done	0	4	4
Total	322	9	331

Error

Counts

331 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.08%	(/.f64 4 (/.f64 z (-.f64 x y)))
✓	75.32%	(/.f64 4 (/.f64 z x))
✓	68.11%	(/.f64 -4 (/.f64 z y))
✓	0.02%	(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
▶	29.78%	(-.f64 (*.f64 4 (/.f64 x z)) 2)
▶	23.16%	(-.f64 (*.f64 -4 (/.f64 y z)) 2)
✓	75.25%	(*.f64 4 (/.f64 x z))
✓	67.97%	(*.f64 -4 (/.f64 y z))
	52.3%	-2

Compiler

Compiled 78 to 60 computations (23.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.01%	(*.f64 -4 (/.f64 y z))

Compiler

Compiled 22 to 12 computations (45.5% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.03%	(*.f64 4 (/.f64 x z))

Compiler

Compiled 22 to 12 computations (45.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(/.f64 z (-.f64 x y))
✓	0.88%	(/.f64 4 (/.f64 z (-.f64 x y)))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series3.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

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

rewrite76.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`associate-*l/`
1386×	`associate-/r*`
1006×	`*-commutative`
868×	`associate-/l*`
638×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	206	32
2	2867	32

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

Inputs
(/.f64 4 (/.f64 z (-.f64 x y)))
(/.f64 z (-.f64 x y))

Outputs

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simplify153.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

772×	`distribute-lft-neg-in`
626×	`distribute-rgt-neg-in`
606×	`associate-r`
580×	`*-commutative`
554×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	5820
1	1201	5668
2	5274	5508

Stop Event

1×	node limit

Counts

194 → 206

Calls

Call 1

Inputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 y z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(*.f64 -1 (/.f64 z y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4))))))
(/.f64 z x)
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (/.f64 (.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (+.f64 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 x 4)) (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(/.f64 z x)
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (/.f64 (.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (+.f64 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 x 4)) (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(/.f64 z x)
(+.f64 (/.f64 z x) (/.f64 (*.f64 y z) (pow.f64 x 2)))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (/.f64 (.f64 y z) (pow.f64 x 2))))
(+.f64 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 x 3)) (+.f64 (/.f64 z x) (+.f64 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 x 4)) (/.f64 (*.f64 y z) (pow.f64 x 2)))))
(*.f64 -1 (/.f64 z y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4))))))
(*.f64 -1 (/.f64 z y))
(+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y)))
(+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 y 2))) (*.f64 -1 (/.f64 z y))))
(+.f64 (.f64 -1 (/.f64 (.f64 z (pow.f64 x 2)) (pow.f64 y 3))) (+.f64 (.f64 -1 (/.f64 (.f64 z x) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (.f64 -1 (/.f64 (*.f64 z (pow.f64 x 3)) (pow.f64 y 4))))))
(+.f64 (.f64 4 (/.f64 (-.f64 x y) z)) (.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y)))
(+.f64 (.f64 4 (/.f64 (-.f64 x y) z)) (.f64 (/.f64 4 z) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))
(+.f64 (.f64 4 (/.f64 (-.f64 x y) z)) (.f64 (/.f64 4 z) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(+.f64 (/.f64 (.f64 4 x) z) (.f64 (/.f64 4 z) (neg.f64 y)))
(+.f64 (.f64 (/.f64 4 z) (neg.f64 y)) (/.f64 (.f64 4 x) z))
(+.f64 (.f64 1 (/.f64 (.f64 4 x) z)) (.f64 1 (.f64 (/.f64 4 z) (neg.f64 y))))
(+.f64 (.f64 (/.f64 -4 z) (neg.f64 x)) (.f64 (/.f64 -4 z) (neg.f64 (neg.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))) 1)
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(.f64 (.f64 4 (/.f64 (-.f64 x y) z)) 1)
(.f64 1 (.f64 4 (/.f64 (-.f64 x y) z)))
(.f64 (.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))))
(.f64 (sqrt.f64 (-.f64 x y)) (.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z)))
(.f64 (cbrt.f64 (.f64 4 (/.f64 (-.f64 x y) z))) (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 4 (/.f64 (-.f64 x y) z))) 2) (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(.f64 (cbrt.f64 (-.f64 x y)) (.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 4 z)))
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 (-.f64 x y) z) 4)
(.f64 -4 (.f64 -1 (/.f64 (-.f64 x y) z)))
(*.f64 -4 (neg.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 -4 z))
(.f64 (.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z)) (sqrt.f64 (-.f64 x y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 4 z)) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 4 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x y) (cbrt.f64 z)))
(.f64 (/.f64 1 z) (.f64 4 (-.f64 x y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2)) (.f64 4 (cbrt.f64 (/.f64 (-.f64 x y) z))))
(*.f64 (/.f64 -4 z) (neg.f64 (-.f64 x y)))
(.f64 (/.f64 -1 z) (.f64 4 (neg.f64 (-.f64 x y))))
(.f64 (.f64 -1 (/.f64 (-.f64 x y) z)) -4)
(.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 z)) (.f64 4 (sqrt.f64 (/.f64 (-.f64 x y) z))))
(.f64 (/.f64 (.f64 4 (sqrt.f64 (/.f64 (-.f64 x y) z))) 1) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2)) 1) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2)) (cbrt.f64 z)) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 4 (/.f64 z (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 4 (/.f64 z 1)) (-.f64 x y))
(*.f64 (/.f64 4 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 4 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 (/.f64 4 z) (/.f64 1 (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (/.f64 4 z) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (/.f64 4 z) -1) (neg.f64 (-.f64 x y)))
(*.f64 (/.f64 -4 (neg.f64 (neg.f64 z))) (neg.f64 (-.f64 x y)))
(.f64 (/.f64 (.f64 (/.f64 4 z) (.f64 (-.f64 x y) (+.f64 x y))) (.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y))
(.f64 (/.f64 (.f64 (/.f64 4 z) (.f64 (-.f64 x y) (+.f64 x y))) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (-.f64 (.f64 y y) (.f64 x y))))
(.f64 (/.f64 (.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 x y))))) (-.f64 (.f64 x x) (.f64 y (+.f64 x y))))
(.f64 (/.f64 (.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 y (+.f64 x y)) 3))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 x y))) (.f64 (.f64 x x) (*.f64 y (+.f64 x y))))))
(.f64 (/.f64 (.f64 4 (sqrt.f64 (/.f64 (-.f64 x y) z))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (-.f64 x y))))
(*.f64 (/.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 (-.f64 x y))))
(pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 1)
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) 2)
(pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (-.f64 x y) z))) 3)
(pow.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 z (-.f64 x y)) 1/4) -1)
(sqrt.f64 (/.f64 16 (pow.f64 (/.f64 z (-.f64 x y)) 2)))
(log.f64 (pow.f64 (exp.f64 4) (/.f64 (-.f64 x y) z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z)))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 3))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(log1p.f64 (expm1.f64 (*.f64 4 (/.f64 (-.f64 x y) z))))
(+.f64 (.f64 (/.f64 z (.f64 (-.f64 x y) (+.f64 x y))) x) (.f64 (/.f64 z (.f64 (-.f64 x y) (+.f64 x y))) y))
(+.f64 (.f64 (/.f64 z (.f64 (-.f64 x y) (+.f64 x y))) y) (.f64 (/.f64 z (.f64 (-.f64 x y) (+.f64 x y))) x))
(+.f64 (.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 x x)) (.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 y (+.f64 x y))))
(+.f64 (.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 y (+.f64 x y))) (.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 x x)))
(+.f64 (.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (.f64 y y))) (.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (-.f64 x y)))) 1)
(*.f64 z (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 z (-.f64 x y)) 1)
(*.f64 1 (/.f64 z (-.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 z (-.f64 x y))) (sqrt.f64 (/.f64 z (-.f64 x y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 1 (-.f64 x y))))
(*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2))
(*.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2) (cbrt.f64 (/.f64 z (-.f64 x y))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (/.f64 1 (-.f64 x y))))
(.f64 (+.f64 x y) (/.f64 z (.f64 (-.f64 x y) (+.f64 x y))))
(*.f64 (/.f64 1 (-.f64 x y)) z)
(.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))))
(*.f64 (neg.f64 z) (/.f64 -1 (-.f64 x y)))
(.f64 (.f64 (sqrt.f64 z) (/.f64 1 (-.f64 x y))) (sqrt.f64 z))
(.f64 (.f64 (cbrt.f64 z) (/.f64 1 (-.f64 x y))) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (/.f64 z 1) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (/.f64 1 (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 z (sqrt.f64 (-.f64 x y))))
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(.f64 (/.f64 z (.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y))
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(.f64 (/.f64 1 (.f64 (-.f64 x y) (+.f64 x y))) (*.f64 z (+.f64 x y)))
(.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 z (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 -1 (/.f64 (neg.f64 z) (-.f64 x y)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (-.f64 x y)))
(*.f64 (/.f64 (cbrt.f64 z) (-.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 z (-.f64 x y))))
(*.f64 (/.f64 (/.f64 z 1) 1) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (-.f64 x y)) (cbrt.f64 z))
(.f64 (/.f64 z (neg.f64 (.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (+.f64 x y)))
(.f64 (/.f64 z (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (/.f64 z (-.f64 (.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))) (-.f64 x (neg.f64 y)))
(.f64 (/.f64 z (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3))) (-.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 x (neg.f64 y))))
(*.f64 (/.f64 1 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 2))) (cbrt.f64 (/.f64 z (-.f64 x y))))
(.f64 (/.f64 (neg.f64 z) (neg.f64 (.f64 (-.f64 x y) (+.f64 x y)))) (+.f64 x y))
(.f64 (/.f64 (neg.f64 z) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (fma.f64 x x (.f64 y (+.f64 x y))))
(.f64 (/.f64 (/.f64 z 1) (neg.f64 (.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (+.f64 x y)))
(.f64 (/.f64 (/.f64 z 1) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (/.f64 (/.f64 z 1) (-.f64 (.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))) (-.f64 x (neg.f64 y)))
(.f64 (/.f64 (/.f64 z 1) (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3))) (-.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 x (neg.f64 y))))
(.f64 (/.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (sqrt.f64 (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (/.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (.f64 (-.f64 x y) (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (cbrt.f64 (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (.f64 (-.f64 x y) (+.f64 x y)))) (cbrt.f64 (+.f64 x y)))
(pow.f64 (/.f64 z (-.f64 x y)) 1)
(pow.f64 (sqrt.f64 (/.f64 z (-.f64 x y))) 2)
(pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 3)
(pow.f64 (pow.f64 (/.f64 z (-.f64 x y)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 x y) z) -1)
(neg.f64 (/.f64 z (neg.f64 (-.f64 x y))))
(sqrt.f64 (pow.f64 (/.f64 z (-.f64 x y)) 2))
(log.f64 (exp.f64 (/.f64 z (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 z (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (/.f64 z (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 z (-.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 z (-.f64 x y))))

Outputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
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(/.f64 z x)
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(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 z x))
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(*.f64 -1 (/.f64 z y))
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(.f64 (/.f64 z (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (*.f64 1 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(.f64 (/.f64 (/.f64 z 1) (neg.f64 (.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (+.f64 x y)))
(.f64 (+.f64 x y) (/.f64 z (-.f64 (.f64 x x) (*.f64 y y))))
(.f64 (/.f64 (/.f64 z 1) (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (/.f64 z (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (*.f64 1 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(.f64 (/.f64 (/.f64 z 1) (-.f64 (.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))) (-.f64 x (neg.f64 y)))
(.f64 (+.f64 x y) (/.f64 z (-.f64 (.f64 x x) (*.f64 y y))))
(.f64 (/.f64 (/.f64 z 1) (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 y) 3))) (-.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 x (neg.f64 y))))
(.f64 (/.f64 z (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 x y))))
(.f64 (/.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (sqrt.f64 (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (/.f64 z (.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))))) (sqrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(.f64 (/.f64 (/.f64 z (sqrt.f64 (-.f64 x y))) (sqrt.f64 (.f64 (-.f64 x y) (+.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(.f64 (/.f64 z (.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (-.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(.f64 (/.f64 z (.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))))) (sqrt.f64 (+.f64 x y)))
(.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (cbrt.f64 (fma.f64 x x (.f64 y (+.f64 x y)))))
(.f64 (/.f64 z (.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(.f64 (/.f64 z (.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3))))) (cbrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (.f64 (-.f64 x y) (+.f64 x y)))) (cbrt.f64 (+.f64 x y)))
(.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 (.f64 x x) (*.f64 y y)))) (cbrt.f64 (+.f64 x y)))
(.f64 (/.f64 z (.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (-.f64 (.f64 x x) (.f64 y y))))) (cbrt.f64 (+.f64 x y)))
(pow.f64 (/.f64 z (-.f64 x y)) 1)
(/.f64 z (-.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 z (-.f64 x y))) 2)
(/.f64 z (-.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 z (-.f64 x y))) 3)
(/.f64 z (-.f64 x y))
(pow.f64 (pow.f64 (/.f64 z (-.f64 x y)) 3) 1/3)
(/.f64 z (-.f64 x y))
(pow.f64 (/.f64 (-.f64 x y) z) -1)
(/.f64 z (-.f64 x y))
(neg.f64 (/.f64 z (neg.f64 (-.f64 x y))))
(/.f64 z (-.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 z (-.f64 x y)) 2))
(fabs.f64 (/.f64 z (-.f64 x y)))
(log.f64 (exp.f64 (/.f64 z (-.f64 x y))))
(/.f64 z (-.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (-.f64 x y)))))
(/.f64 z (-.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 z (-.f64 x y)) 3))
(/.f64 z (-.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 z (-.f64 x y))))
(/.f64 z (-.f64 x y))
(exp.f64 (log.f64 (/.f64 z (-.f64 x y))))
(/.f64 z (-.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 z (-.f64 x y))))
(/.f64 z (-.f64 x y))

eval129.0ms (2.3%)

Compiler: Compiled 4038 to 1816 computations (55% saved)

prune85.0ms (1.6%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	258	0	258
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	258	9	267

Error

Counts

267 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.08%	(/.f64 4 (/.f64 z (-.f64 x y)))
✓	75.32%	(/.f64 4 (/.f64 z x))
✓	68.11%	(/.f64 -4 (/.f64 z y))
✓	0.02%	(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
✓	29.78%	(-.f64 (*.f64 4 (/.f64 x z)) 2)
✓	23.16%	(-.f64 (*.f64 -4 (/.f64 y z)) 2)
✓	75.25%	(*.f64 4 (/.f64 x z))
✓	67.97%	(*.f64 -4 (/.f64 y z))
	52.3%	-2

Compiler

Compiled 78 to 60 computations (23.1% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	8	8
Total	9	9

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.08%	(/.f64 4 (/.f64 z (-.f64 x y)))
✓	75.32%	(/.f64 4 (/.f64 z x))
✓	68.11%	(/.f64 -4 (/.f64 z y))
✓	0.02%	(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
✓	29.78%	(-.f64 (*.f64 4 (/.f64 x z)) 2)
✓	23.16%	(-.f64 (*.f64 -4 (/.f64 y z)) 2)
✓	75.25%	(*.f64 4 (/.f64 x z))
✓	67.97%	(*.f64 -4 (/.f64 y z))
	52.3%	-2

Compiler

Compiled 78 to 60 computations (23.1% saved)

regimes74.0ms (1.3%)

Counts

13 → 1

Calls

Call 1

Inputs
-2
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(/.f64 -4 (/.f64 z y))
(/.f64 4 (/.f64 z x))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(/.f64 4 (/.f64 z (-.f64 x y)))
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))
(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
(fma.f64 4 (/.f64 (-.f64 x y) z) -2)

Outputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)

Calls

5 calls:

8.0ms	x
8.0ms	y
7.0ms	z
7.0ms	(-.f64 x y)
6.0ms	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Results

Error	Segments	Branch
0.02%	1	`x`
0.02%	1	`y`
0.02%	1	`z`
0.02%	1	`(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)`
0.02%	1	`(-.f64 x y)`

Compiler

Compiled 123 to 75 computations (39% saved)

regimes191.0ms (3.5%)

Counts

9 → 3

Calls

Call 1

Inputs
-2
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(/.f64 -4 (/.f64 z y))
(/.f64 4 (/.f64 z x))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(/.f64 4 (/.f64 z (-.f64 x y)))

Outputs
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(/.f64 4 (/.f64 z (-.f64 x y)))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))

Calls

4 calls:

71.0ms	z
53.0ms	(-.f64 x y)
49.0ms	x
16.0ms	y

Results

Error	Segments	Branch
9.61%	3	`x`
10.63%	3	`y`
9.56%	3	`z`
14.77%	5	`(-.f64 x y)`

Compiler

Compiled 70 to 45 computations (35.7% saved)

bsearch67.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
54.0ms	41141963506779.56	4.082758476479551e+20
13.0ms	-5.9536683088824396e+54	-4.897064289905111e+52

Results

64.0ms

256×

body

256

valid

Compiler

Compiled 372 to 287 computations (22.8% saved)

regimes106.0ms (1.9%)

Counts

8 → 3

Calls

Call 1

Inputs
-2
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(/.f64 -4 (/.f64 z y))
(/.f64 4 (/.f64 z x))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)
(-.f64 (*.f64 4 (/.f64 x z)) 2)

Outputs
(-.f64 (*.f64 4 (/.f64 x z)) 2)
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(-.f64 (*.f64 4 (/.f64 x z)) 2)

Calls

3 calls:

52.0ms	y
34.0ms	z
19.0ms	x

Results

Error	Segments	Branch
9.61%	3	`x`
10.63%	3	`y`
15.3%	7	`z`

Compiler

Compiled 57 to 37 computations (35.1% saved)

bsearch66.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
58.0ms	9.73533311814179e-13	9.304960757525361e-5
8.0ms	-1.3632017421781777e-6	-7.291325833363675e-7

Results

63.0ms

208×

body

256

valid

Compiler

Compiled 306 to 249 computations (18.6% saved)

regimes51.0ms (0.9%)

Counts

7 → 3

Calls

Call 1

Inputs
-2
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(/.f64 -4 (/.f64 z y))
(/.f64 4 (/.f64 z x))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(-.f64 (*.f64 -4 (/.f64 y z)) 2)

Outputs
(*.f64 4 (/.f64 x z))
(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
(*.f64 4 (/.f64 x z))

Calls

3 calls:

30.0ms	z
14.0ms	x
5.0ms	y

Results

Error	Segments	Branch
16.03%	3	`x`
23.16%	1	`y`
17.56%	7	`z`

Compiler

Compiled 50 to 33 computations (34% saved)

bsearch17.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.888660662803225e+159	2.0372851808066703e+160
6.0ms	-1.6157363656965164e+87	-1.2241034437533203e+87

Results

13.0ms	128×	body	256	valid
1.0ms	13×	body	256	infinite

Compiler

Compiled 180 to 143 computations (20.6% saved)

regimes160.0ms (2.9%)

Counts

5 → 8

Calls

Call 1

Inputs
-2
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(/.f64 -4 (/.f64 z y))
(/.f64 4 (/.f64 z x))

Outputs
-2
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
(*.f64 -4 (/.f64 y z))
(*.f64 4 (/.f64 x z))
-2
(*.f64 -4 (/.f64 y z))
-2

Calls

3 calls:

79.0ms	z
43.0ms	x
37.0ms	y

Results

Error	Segments	Branch
33.47%	12	`x`
33.75%	9	`y`
31.26%	8	`z`

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch126.0ms (2.3%)

Algorithm

7×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.47226520729143e+111	1.2024855846967523e+112
15.0ms	4.0445590604599815e+79	2.8759497827352567e+82
16.0ms	41141963506779.56	4.082758476479551e+20
19.0ms	2.677592146307475e-27	5.543650832876185e-16
17.0ms	6.111979952385208e-52	1.763889994860685e-47
35.0ms	2.1988132117308316e-115	3.9831472987219144e-109
14.0ms	-5.9536683088824396e+54	-4.897064289905111e+52

Results

108.0ms	896×	body	256	valid
8.0ms	73×	body	256	infinite

Compiler

Compiled 912 to 741 computations (18.8% saved)

regimes63.0ms (1.1%)

Accuracy

Total -39.2b remaining (-172.6%)

Threshold costs -39.2b (-172.6%)

Counts

2 → 7

Calls

Call 1

Inputs
-2
(*.f64 -4 (/.f64 y z))

Outputs
(*.f64 -4 (/.f64 y z))
-2
(*.f64 -4 (/.f64 y z))
-2
(*.f64 -4 (/.f64 y z))
-2
(*.f64 -4 (/.f64 y z))

Calls

3 calls:

27.0ms	x
19.0ms	y
16.0ms	z

Results

Error	Segments	Branch
44.34%	7	`x`
35.47%	7	`y`
35.66%	5	`z`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch144.0ms (2.6%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
64.0ms	3.723495660210898e+187	5.393253942614077e+192
15.0ms	4.540790731954154e+148	1.099686719002224e+150
15.0ms	3.245612131612733e+51	1.4392073585730264e+55
17.0ms	-2.372731494552693e+22	-280513261073324.63
18.0ms	-3.979147251114628e+67	-6.2048034758313864e+60
15.0ms	-2.3903208619909516e+141	-4.557187540325956e+139

Results

128.0ms	784×	body	256	valid
6.0ms	61×	body	256	infinite

Compiler

Compiled 706 to 603 computations (14.6% saved)

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

18×	`if-if-or-not`
16×	`not-or`
14×	`not-not`
14×	`if-not`
10×	`sub-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	83	443
1	113	443
2	124	443
3	132	439
4	140	439
5	150	435
6	157	435
7	162	435
8	164	435
9	165	435

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(if (<=.f64 z -49999999999999999661047433718081398823085422097203200) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 z 2900000000000000) (/.f64 4 (/.f64 z (-.f64 x y))) (.f64 -4 (-.f64 (/.f64 y z) -1/2))))
(if (<=.f64 x -5902958103587057/4722366482869645213696) (-.f64 (.f64 4 (/.f64 x z)) 2) (if (<=.f64 x 2095550126773405/147573952589676412928) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (-.f64 (*.f64 4 (/.f64 x z)) 2)))
(if (<=.f64 x -1299999999999999991412918412715079790522032435115949767257758134639189052876395785486336) (.f64 4 (/.f64 x z)) (if (<=.f64 x 18000000000000001054035904506025747437701124805945172537787362981428266457855813944130129163909646700561247365384507761296829548189365223275524891357274498400256) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 x z))))
(if (<=.f64 z -339999999999999997695122549282953511996980870260981760) -2 (if (<=.f64 z 7276904104443057/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 -4 (/.f64 y z)) (if (<=.f64 z 1908785286492599/13164036458569648337239753460458804039861886925068638906788872192) (.f64 4 (/.f64 x z)) (if (<=.f64 z 1663157587499437/40564819207303340847894502572032) (.f64 -4 (/.f64 y z)) (if (<=.f64 z 23000000000000000) (.f64 4 (/.f64 x z)) (if (<=.f64 z 28500000000000000810590035414633222384784645424629277024542716003431554605270433792) -2 (if (<=.f64 z 3500000000000000182617178608388555528640007259396841892956468372907084430899141430760632411541099068244447199232) (*.f64 -4 (/.f64 y z)) -2)))))))
(if (<=.f64 y -1150000000000000078753266927581078125853813549345357919200250783982994653581831501888760569623189965748272977764318461466100909780791430479872) (.f64 -4 (/.f64 y z)) (if (<=.f64 y -6599999999999999523230323690092536416131460127738992844079104) -2 (if (<=.f64 y -23000000000000002097152) (.f64 -4 (/.f64 y z)) (if (<=.f64 y 11999999999999999578369017171401072254165893871560556544) -2 (if (<=.f64 y 849999999999999956453804585486510006387509216125600935865939062856557834817244326255880224071365854436132349460115896095887417246545470848450806415360) (.f64 -4 (/.f64 y z)) (if (<=.f64 y 58000000000000001957725299239237884989186919590516533062801118286010446786566186186457246984670812070216381008526609777396931591602229011777222309332792055690163210778637787419536997220352) -2 (.f64 -4 (/.f64 y z))))))))
-2

Outputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(if (<=.f64 z -49999999999999999661047433718081398823085422097203200) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 z 2900000000000000) (/.f64 4 (/.f64 z (-.f64 x y))) (.f64 -4 (-.f64 (/.f64 y z) -1/2))))
(if (or (<=.f64 z -49999999999999999661047433718081398823085422097203200) (not (<=.f64 z 2900000000000000))) (*.f64 -4 (+.f64 (/.f64 y z) 1/2)) (/.f64 4 (/.f64 z (-.f64 x y))))
(if (<=.f64 x -5902958103587057/4722366482869645213696) (-.f64 (.f64 4 (/.f64 x z)) 2) (if (<=.f64 x 2095550126773405/147573952589676412928) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (-.f64 (*.f64 4 (/.f64 x z)) 2)))
(if (or (<=.f64 x -5902958103587057/4722366482869645213696) (not (<=.f64 x 2095550126773405/147573952589676412928))) (+.f64 (.f64 4 (/.f64 x z)) -2) (.f64 -4 (+.f64 (/.f64 y z) 1/2)))
(if (<=.f64 x -1299999999999999991412918412715079790522032435115949767257758134639189052876395785486336) (.f64 4 (/.f64 x z)) (if (<=.f64 x 18000000000000001054035904506025747437701124805945172537787362981428266457855813944130129163909646700561247365384507761296829548189365223275524891357274498400256) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 x z))))
(if (or (<=.f64 x -1299999999999999991412918412715079790522032435115949767257758134639189052876395785486336) (not (<=.f64 x 18000000000000001054035904506025747437701124805945172537787362981428266457855813944130129163909646700561247365384507761296829548189365223275524891357274498400256))) (.f64 4 (/.f64 x z)) (.f64 -4 (+.f64 (/.f64 y z) 1/2)))
(if (<=.f64 z -339999999999999997695122549282953511996980870260981760) -2 (if (<=.f64 z 7276904104443057/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (.f64 -4 (/.f64 y z)) (if (<=.f64 z 1908785286492599/13164036458569648337239753460458804039861886925068638906788872192) (.f64 4 (/.f64 x z)) (if (<=.f64 z 1663157587499437/40564819207303340847894502572032) (.f64 -4 (/.f64 y z)) (if (<=.f64 z 23000000000000000) (.f64 4 (/.f64 x z)) (if (<=.f64 z 28500000000000000810590035414633222384784645424629277024542716003431554605270433792) -2 (if (<=.f64 z 3500000000000000182617178608388555528640007259396841892956468372907084430899141430760632411541099068244447199232) (*.f64 -4 (/.f64 y z)) -2)))))))
(if (<=.f64 y -1150000000000000078753266927581078125853813549345357919200250783982994653581831501888760569623189965748272977764318461466100909780791430479872) (.f64 -4 (/.f64 y z)) (if (<=.f64 y -6599999999999999523230323690092536416131460127738992844079104) -2 (if (<=.f64 y -23000000000000002097152) (.f64 -4 (/.f64 y z)) (if (<=.f64 y 11999999999999999578369017171401072254165893871560556544) -2 (if (<=.f64 y 849999999999999956453804585486510006387509216125600935865939062856557834817244326255880224071365854436132349460115896095887417246545470848450806415360) (.f64 -4 (/.f64 y z)) (if (<=.f64 y 58000000000000001957725299239237884989186919590516533062801118286010446786566186186457246984670812070216381008526609777396931591602229011777222309332792055690163210778637787419536997220352) -2 (.f64 -4 (/.f64 y z))))))))
(if (<=.f64 y -1150000000000000078753266927581078125853813549345357919200250783982994653581831501888760569623189965748272977764318461466100909780791430479872) (.f64 -4 (/.f64 y z)) (if (<=.f64 y -6599999999999999523230323690092536416131460127738992844079104) -2 (if (<=.f64 y -23000000000000002097152) (.f64 -4 (/.f64 y z)) (if (<=.f64 y 11999999999999999578369017171401072254165893871560556544) -2 (if (or (<=.f64 y 849999999999999956453804585486510006387509216125600935865939062856557834817244326255880224071365854436132349460115896095887417246545470848450806415360) (not (<=.f64 y 58000000000000001957725299239237884989186919590516533062801118286010446786566186186457246984670812070216381008526609777396931591602229011777222309332792055690163210778637787419536997220352))) (*.f64 -4 (/.f64 y z)) -2)))))
(if (<=.f64 y -1150000000000000078753266927581078125853813549345357919200250783982994653581831501888760569623189965748272977764318461466100909780791430479872) (.f64 -4 (/.f64 y z)) (if (<=.f64 y -6599999999999999523230323690092536416131460127738992844079104) -2 (if (or (<=.f64 y -23000000000000002097152) (not (or (<=.f64 y 11999999999999999578369017171401072254165893871560556544) (and (not (<=.f64 y 849999999999999956453804585486510006387509216125600935865939062856557834817244326255880224071365854436132349460115896095887417246545470848450806415360)) (<=.f64 y 58000000000000001957725299239237884989186919590516533062801118286010446786566186186457246984670812070216381008526609777396931591602229011777222309332792055690163210778637787419536997220352))))) (.f64 -4 (/.f64 y z)) -2)))
(if (<=.f64 y -1150000000000000078753266927581078125853813549345357919200250783982994653581831501888760569623189965748272977764318461466100909780791430479872) (.f64 -4 (/.f64 y z)) (if (<=.f64 y -6599999999999999523230323690092536416131460127738992844079104) -2 (if (or (<=.f64 y -23000000000000002097152) (and (not (<=.f64 y 11999999999999999578369017171401072254165893871560556544)) (or (<=.f64 y 849999999999999956453804585486510006387509216125600935865939062856557834817244326255880224071365854436132349460115896095887417246545470848450806415360) (not (<=.f64 y 58000000000000001957725299239237884989186919590516533062801118286010446786566186186457246984670812070216381008526609777396931591602229011777222309332792055690163210778637787419536997220352))))) (.f64 -4 (/.f64 y z)) -2)))
(if (or (<=.f64 y -1150000000000000078753266927581078125853813549345357919200250783982994653581831501888760569623189965748272977764318461466100909780791430479872) (not (or (<=.f64 y -6599999999999999523230323690092536416131460127738992844079104) (and (not (<=.f64 y -23000000000000002097152)) (or (<=.f64 y 11999999999999999578369017171401072254165893871560556544) (and (not (<=.f64 y 849999999999999956453804585486510006387509216125600935865939062856557834817244326255880224071365854436132349460115896095887417246545470848450806415360)) (<=.f64 y 58000000000000001957725299239237884989186919590516533062801118286010446786566186186457246984670812070216381008526609777396931591602229011777222309332792055690163210778637787419536997220352))))))) (*.f64 -4 (/.f64 y z)) -2)
-2

Compiler

Compiled 187 to 137 computations (26.7% saved)

soundness154.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1062×	`associate-/l*`
916×	`fma-def`
892×	`associate-l`
866×	`times-frac`
680×	`associate-/r*`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	26	31
2	69	27
3	211	27
4	537	27
5	1515	21
6	6136	21

Stop Event

1×	node limit

Compiler

Compiled 25 to 16 computations (36% saved)

end86.0ms (1.6%)

Compiler: Compiled 169 to 112 computations (33.7% saved)

Iter	Nodes	Cost
0	83	443
1	113	443
2	124	443
3	132	439
4	140	439
5	150	435
6	157	435
7	162	435
8	164	435
9	165	435

Iter	Nodes	Cost
0	83	443
1	113	443
2	124	443
3	132	439
4	140	439
5	150	435
6	157	435
7	162	435
8	164	435
9	165	435

Details

analyze260.0ms (4.7%)

sample1.5s (27.3%)

preprocess69.0ms (1.3%)

simplify61.0ms (1.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize40.0ms (0.7%)

series9.0ms (0.2%)

rewrite136.0ms (2.5%)

simplify158.0ms (2.9%)

localize15.0ms (0.3%)

series1.0ms (0%)

rewrite77.0ms (1.4%)

simplify82.0ms (1.5%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite61.0ms (1.1%)

simplify63.0ms (1.1%)

eval141.0ms (2.6%)

prune189.0ms (3.4%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite71.0ms (1.3%)

simplify135.0ms (2.4%)

localize5.0ms (0.1%)

series3.0ms (0%)

rewrite60.0ms (1.1%)

simplify54.0ms (1%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite55.0ms (1%)

simplify70.0ms (1.3%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite57.0ms (1%)

simplify50.0ms (0.9%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite60.0ms (1.1%)

simplify53.0ms (1%)

eval66.0ms (1.2%)

prune51.0ms (0.9%)

localize7.0ms (0.1%)

localize8.0ms (0.1%)

localize7.0ms (0.1%)

series3.0ms (0.1%)

rewrite76.0ms (1.4%)

simplify153.0ms (2.8%)

eval129.0ms (2.3%)

prune85.0ms (1.6%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes74.0ms (1.3%)

regimes191.0ms (3.5%)

bsearch67.0ms (1.2%)

regimes106.0ms (1.9%)

bsearch66.0ms (1.2%)

regimes51.0ms (0.9%)

bsearch17.0ms (0.3%)

regimes160.0ms (2.9%)

bsearch126.0ms (2.3%)

regimes63.0ms (1.1%)

bsearch144.0ms (2.6%)

simplify20.0ms (0.4%)

soundness154.0ms (2.8%)

end86.0ms (1.6%)

Profiling

Iter	Nodes	Cost
0	83	443
1	113	443
2	124	443
3	132	439
4	140	439
5	150	435
6	157	435
7	162	435
8	164	435
9	165	435