Details

analyze387.0ms (8.5%)

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)

sample1.4s (30.2%)

Results

1.1s	8256×	body	256	valid
210.0ms	1650×	body	256	infinite

Bogosity

preprocess65.0ms (1.4%)

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)

simplify56.0ms (1.2%)

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

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)
▶	0.2b	(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))
✓	0.2b	(/.f64 4 (/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2))))

Compiler

Compiled 41 to 21 computations (48.8% saved)

series17.0ms (0.4%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/.f64 z (-.f64 (-.f64 x y) (*.f64 z 1/2)))
1.0ms	y	@	inf	(/.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	@	-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))))

rewrite83.0ms (1.8%)

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 (+.f64 (-.f64 x y) (.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 z) (.f64 4 (neg.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 -1 z) (+.f64 (-.f64 x y) (.f64 z -1/2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(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)) 1) (cbrt.f64 (/.f64 (+.f64 (-.f64 x y) (.f64 z -1/2)) z)))))) (#(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)))))))))

simplify109.0ms (2.4%)

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)))

localize14.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)

Compiler

Compiled 41 to 22 computations (46.3% saved)

series2.0ms (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)

rewrite70.0ms (1.5%)

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))))))))

simplify53.0ms (1.2%)

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 (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)

eval125.0ms (2.7%)

Compiler: Compiled 7858 to 4703 computations (40.2% saved)

prune57.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	351	7	358
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	353	7	360

Error

Counts

360 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	26.7b	(/.f64 (-.f64 x y) (/.f64 z 4))
▶	43.9b	(/.f64 (*.f64 y -4) z)
▶	0b	(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
▶	26.9b	(*.f64 (-.f64 x y) (/.f64 4 z))
▶	45.1b	(*.f64 4 (/.f64 x z))
▶	17.9b	(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
	36.6b	-2

Compiler

Compiled 120 to 90 computations (25% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) z)
✓	0.0b	(*.f64 4 (/.f64 (-.f64 x y) z))

Compiler

Compiled 32 to 13 computations (59.4% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

18 calls:

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

rewrite71.0ms (1.6%)

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	32
1	202	32
2	2839	32

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

Inputs
(*.f64 4 (/.f64 (-.f64 x y) z))
(/.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)))))))) 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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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simplify89.0ms (2%)

Algorithm

1×	egg-herbie

Rules

900×	`associate-/l*`
816×	`distribute-lft-neg-in`
504×	`times-frac`
464×	`*-commutative`
460×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	428	5740
1	1229	4974
2	5820	4966

Stop Event

1×	node limit

Counts

202 → 234

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 -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 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))))
(+.f64 (/.f64 (-.f64 x y) z) (*.f64 (/.f64 1 z) (fma.f64 (neg.f64 y) 1 y)))
(+.f64 (/.f64 (-.f64 x y) z) (*.f64 (/.f64 1 z) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))
(+.f64 (/.f64 (-.f64 x y) z) (*.f64 (/.f64 1 z) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(+.f64 (/.f64 x z) (neg.f64 (/.f64 y z)))
(+.f64 (/.f64 x z) (*.f64 1 (neg.f64 (/.f64 y z))))
(+.f64 (/.f64 x z) (*.f64 (/.f64 1 z) (neg.f64 y)))
(+.f64 (neg.f64 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 (/.f64 1 z) (neg.f64 y)) (/.f64 x 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 (-.f64 x y) z)) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(.f64 (sqrt.f64 (-.f64 x y)) (.f64 (sqrt.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 (cbrt.f64 (/.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) 2) (cbrt.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 (/.f64 1 z) (-.f64 x y))
(*.f64 (neg.f64 (-.f64 x y)) (/.f64 -1 z))
(.f64 (.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 z)) (sqrt.f64 (-.f64 x y)))
(.f64 (.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 z)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (/.f64 1 (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 -1 z) (neg.f64 (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) (sqrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) (/.f64 (sqrt.f64 (-.f64 x y)) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)) (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) z))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) z) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) z) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 1 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (/.f64 1 z)) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 x y))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (/.f64 1 z)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (-.f64 (.f64 y y) (*.f64 x y))))
(.f64 (/.f64 (.f64 (/.f64 1 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 1 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))))))
(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)))
(log1p.f64 (expm1.f64 (/.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 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 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 (-.f64 x y) (/.f64 4 z))
(*.f64 -4 (/.f64 (-.f64 y x) z))
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(/.f64 (*.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) 1) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 z)) (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 z) 2)))
(/.f64 (*.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) 1) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (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 (cbrt.f64 (-.f64 x y)) z) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1))
(/.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 x y) z)
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 z)))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) z) (cbrt.f64 (-.f64 x y)))
(/.f64 (-.f64 x y) z)
(*.f64 (/.f64 1 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y)))
(/.f64 (-.f64 x y) z)
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (/.f64 1 z)) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 x y))
(/.f64 (.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (/.f64 1 z)) (-.f64 x y)) (-.f64 (.f64 x x) (.f64 y y)))
(.f64 (-.f64 x y) (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 (-.f64 (.f64 x x) (.f64 y y)) z)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (/.f64 1 z)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (-.f64 (.f64 y y) (*.f64 x y))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (/.f64 1 z)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) z) (fma.f64 y (-.f64 y x) (.f64 x x))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
(.f64 (/.f64 (.f64 (/.f64 1 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 1 z) (/.f64 (-.f64 (.f64 x (pow.f64 x 3)) (.f64 y (.f64 (+.f64 y x) (.f64 y (+.f64 y x))))) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (-.f64 (.f64 x x) (*.f64 y (+.f64 y x))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (-.f64 (pow.f64 x 4) (.f64 y (.f64 (.f64 (+.f64 y x) (+.f64 y x)) y))) z)) (fma.f64 x x (.f64 y (-.f64 (neg.f64 y) x))))
(.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (-.f64 (pow.f64 x 4) (.f64 y (.f64 (.f64 (+.f64 y x) (+.f64 y x)) y))) z)) (-.f64 (.f64 x (-.f64 x y)) (*.f64 y y)))
(.f64 (/.f64 (.f64 (/.f64 1 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 1 z) (/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 y (+.f64 y x)) 3)) (-.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 (.f64 x (pow.f64 x 3)) (.f64 (.f64 y (+.f64 y x)) (-.f64 (.f64 y (+.f64 y x)) (.f64 x x)))))
(/.f64 (.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 (.f64 y (+.f64 y x)) (fma.f64 y (+.f64 y x) (.f64 x (neg.f64 x))) (pow.f64 x 4))) (+.f64 (pow.f64 x 6) (pow.f64 (.f64 y (+.f64 y x)) 3)))
(/.f64 (.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 (.f64 y (+.f64 y x)) (+.f64 (.f64 y y) (.f64 x (-.f64 y x))) (pow.f64 x 4))) (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (+.f64 y x)) 3)))
(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))
(fabs.f64 (/.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)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (-.f64 x y) z)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 4 (/.f64 x z))

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite52.0ms (1.1%)

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))))))))

simplify45.0ms (1%)

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))

localize6.0ms (0.1%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize8.0ms (0.2%)

Compiler: Compiled 22 to 12 computations (45.5% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (-.f64 x y) (/.f64 4 z))

Compiler

Compiled 20 to 10 computations (50% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite71.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`associate-*r/`
1136×	`associate-*l/`
950×	`*-commutative`
546×	`associate-/r*`
532×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	200	19
2	2671	19

Stop Event

1×	node limit

Counts

1 → 173

Calls

Call 1

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

Outputs

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

simplify109.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1632×	`associate-/l*`
1014×	`times-frac`
706×	`associate-/r*`
620×	`associate-/l/`
620×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	493	8317
1	1493	7517
2	7957	7517

Stop Event

1×	node limit

Counts

209 → 248

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

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

eval117.0ms (2.6%)

Compiler: Compiled 8800 to 4007 computations (54.5% saved)

prune92.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	504	2	506
Fresh	1	1	2
Picked	1	0	1
Done	1	3	4
Total	507	6	513

Error

Counts

513 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.7b	(/.f64 (/.f64 (-.f64 x y) z) 1/4)
✓	43.9b	(/.f64 (*.f64 y -4) z)
▶	19.0b	(-.f64 (*.f64 4 (/.f64 x z)) 2)
✓	45.1b	(*.f64 4 (/.f64 x z))
✓	17.9b	(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
	36.6b	-2

Compiler

Compiled 50 to 39 computations (22% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 4 (/.f64 x z))

Compiler

Compiled 22 to 12 computations (45.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 x y) z)
✓	0.0b	(/.f64 (/.f64 (-.f64 x y) z) 1/4)

Compiler

Compiled 22 to 8 computations (63.6% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite62.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1684×	`associate-/l*`
1680×	`associate-/r*`
1064×	`*-commutative`
538×	`associate-/l/`
500×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	210	19
2	3015	19

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

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

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

882×	`associate-*r/`
854×	`distribute-lft-neg-out`
752×	`associate-+r-`
690×	`associate-*l/`
618×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	2276
1	346	1668
2	1092	1662
3	5465	1662

Stop Event

1×	node limit

Counts

86 → 64

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

Outputs
(*.f64 -4 (/.f64 y z))
(*.f64 (/.f64 -4 z) y)
(*.f64 y (/.f64 -4 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 (-.f64 y x) (/.f64 -4 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 (-.f64 y x) (/.f64 -4 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 (-.f64 y x) (/.f64 -4 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 (-.f64 y x) (/.f64 -4 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 (-.f64 y x) (/.f64 -4 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))
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eval34.0ms (0.8%)

Compiler: Compiled 2315 to 1036 computations (55.2% saved)

prune26.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	168	6	174

Error

Counts

174 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.7b	(/.f64 (/.f64 (-.f64 x y) z) 1/4)
✓	43.9b	(/.f64 (*.f64 y -4) z)
✓	19.0b	(-.f64 (*.f64 4 (/.f64 x z)) 2)
✓	45.1b	(*.f64 4 (/.f64 x z))
✓	17.9b	(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
	36.6b	-2

Compiler

Compiled 50 to 39 computations (22% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.7b	(/.f64 (/.f64 (-.f64 x y) z) 1/4)
✓	43.9b	(/.f64 (*.f64 y -4) z)
✓	19.0b	(-.f64 (*.f64 4 (/.f64 x z)) 2)
✓	45.1b	(*.f64 4 (/.f64 x z))
✓	17.9b	(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
	36.6b	-2

Compiler

Compiled 50 to 39 computations (22% saved)

regimes36.0ms (0.8%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`(/.f64 (.f64 4 (-.f64 (-.f64 x y) (.f64 z 1/2))) z)`
0b	1	`(-.f64 x y)`

Compiler

Compiled 112 to 68 computations (39.3% saved)

regimes141.0ms (3.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

68.0ms	z
26.0ms	(-.f64 x y)
24.0ms	y
21.0ms	x

Results

Error	Segments	Branch
8.3b	3	`x`
6.8b	3	`y`
7.5b	5	`z`
9.5b	5	`(-.f64 x y)`

Compiler

Compiled 67 to 42 computations (37.3% saved)

bsearch25.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	76775993794338.83	1057642535705590.4
14.0ms	-202825417564640320.0	-1158490582147684.8

Results

22.0ms

208×

body

256

valid

Compiler

Compiled 306 to 243 computations (20.6% saved)

regimes87.0ms (1.9%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	z
23.0ms	(-.f64 x y)
20.0ms	x
19.0ms	y

Results

Error	Segments	Branch
8.3b	3	`x`
6.8b	3	`y`
7.6b	5	`z`
9.5b	5	`(-.f64 x y)`

Compiler

Compiled 53 to 36 computations (32.1% saved)

bsearch27.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	76775993794338.83	1057642535705590.4
15.0ms	-202825417564640320.0	-1158490582147684.8

Results

24.0ms

208×

body

256

valid

Compiler

Compiled 306 to 243 computations (20.6% saved)

regimes74.0ms (1.6%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(-.f64 x y)
20.0ms	y
20.0ms	z
13.0ms	x

Results

Error	Segments	Branch
11.0b	3	`x`
14.3b	4	`y`
9.2b	3	`z`
11.0b	5	`(-.f64 x y)`

Compiler

Compiled 46 to 32 computations (30.4% saved)

bsearch29.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	124026399.02853163	9456275456.748423
15.0ms	-1.0529621233379263e+47	-5.807043856162206e+43

Results

24.0ms

240×

body

256

valid

Compiler

Compiled 350 to 270 computations (22.9% saved)

regimes43.0ms (0.9%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	z
11.0ms	y
11.0ms	x

Results

Error	Segments	Branch
12.2b	3	`x`
16.1b	3	`y`
14.8b	5	`z`

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch32.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	4.722529846706722e+178	4.9907956390357545e+181
12.0ms	-1.3267036743334956e+172	-5.634280020615727e+171

Results

22.0ms	208×	body	256	valid
6.0ms	46×	body	256	infinite

Compiler

Compiled 280 to 223 computations (20.4% saved)

regimes84.0ms (1.9%)

Counts

3 → 10

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	z
29.0ms	x
22.0ms	y

Results

Error	Segments	Branch
26.1b	9	`x`
22.7b	6	`y`
21.9b	10	`z`

Compiler

Compiled 26 to 19 computations (26.9% saved)

bsearch323.0ms (7.1%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
11.0ms	1.2232287327204923e+143	9.19492517017493e+143
17.0ms	8.204710007428882e+108	1.4776471379116864e+114
97.0ms	3.5188170285667315e+69	8.278962472462771e+69
75.0ms	1.7048481785011683e+26	9.639179394686792e+28
14.0ms	3.1870817447974757e-25	1.1122465797976957e-21
26.0ms	1.6239012636227834e-230	2.376742439697433e-226
55.0ms	1.88500869840776e-301	5.184066376704941e-291
14.0ms	-1607109894641.516	-54496808340.115456
12.0ms	-5.792139388218082e+80	-6.50302074270852e+79

Results

260.0ms	1072×	body	256	valid
48.0ms	419×	body	256	infinite

Compiler

Compiled 1126 to 903 computations (19.8% saved)

regimes40.0ms (0.9%)

Accuracy

Total -34.4b remaining (-124.4%)

Threshold costs -34.4b (-124.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	y
12.0ms	z
9.0ms	x

Results

Error	Segments	Branch
29.8b	3	`x`
32.0b	6	`y`
27.6b	3	`z`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch29.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	124026399.02853163	9456275456.748423
16.0ms	-1.0529621233379263e+47	-5.807043856162206e+43

Results

26.0ms

240×

body

256

valid

Compiler

Compiled 230 to 195 computations (15.2% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
10×	`sub-neg`
10×	`+-commutative`
6×	`if-if-or-not`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	504
1	109	504
2	117	504
3	119	504
4	120	504

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(if (<=.f64 y -7500000000000000) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 1050000000000000) (-.f64 (.f64 4 (/.f64 x z)) 2) (/.f64 (-.f64 x y) (/.f64 z 4))))
(if (<=.f64 y -115000000000000000) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 1050000000000000) (-.f64 (.f64 4 (/.f64 x z)) 2) (*.f64 (-.f64 x y) (/.f64 4 z))))
(if (<=.f64 z -64999999999999997811068662022740957101817856) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 z 650000000) (.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 -4 (-.f64 (/.f64 y z) -1/2))))
(if (<=.f64 x -6199999999999999757532667099688906031381403819441132008884568255712661231082060661801343458013582082483098965604423679273742388374433474990256177882835241758885799578828800) (.f64 4 (/.f64 x z)) (if (<=.f64 x 6399999999999999874915185502816906205304088911790481402505342921607296344725009437393244111007870953563017510268412821658879808202780175640582226612162820499490865997884518932938752) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 x z))))
(if (<=.f64 z -110000000000000001345674497036168837915117987345201293994133867705702625486831616) -2 (if (<=.f64 z -280000000000) (/.f64 (.f64 y -4) z) (if (<=.f64 z 3679554895086869/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624) (.f64 4 (/.f64 x z)) (if (<=.f64 z 6998747948750695/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128) (/.f64 (.f64 y -4) z) (if (<=.f64 z 331775307747915/170141183460469231731687303715884105728) (.f64 4 (/.f64 x z)) (if (<=.f64 z 570000000000000032312918016) (/.f64 (.f64 y -4) z) (if (<=.f64 z 7600000000000000551238916499622186958803645513313566861938397181640704) -2 (if (<=.f64 z 1150000000000000017893328548886869477908431606459220648375236167495458848339469058754733198402304564827637222998016) (/.f64 (.f64 y -4) z) (if (<=.f64 z 125000000000000002968179044831388169676082240978585273434183123583779678692752571571022203527010411766168246141730014509474176646236260196679680) (*.f64 4 (/.f64 x z)) -2)))))))))
(if (<=.f64 z -2499999999999999982849547589867553236914798592) -2 (if (<=.f64 z 410000000) (*.f64 4 (/.f64 x z)) -2))
-2

Outputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(+.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) -2)
(if (<=.f64 y -7500000000000000) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 1050000000000000) (-.f64 (.f64 4 (/.f64 x z)) 2) (/.f64 (-.f64 x y) (/.f64 z 4))))
(if (<=.f64 y -7500000000000000) (.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 y 1050000000000000) (+.f64 (.f64 4 (/.f64 x z)) -2) (/.f64 (-.f64 x y) (/.f64 z 4))))
(if (<=.f64 y -115000000000000000) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 1050000000000000) (-.f64 (.f64 4 (/.f64 x z)) 2) (*.f64 (-.f64 x y) (/.f64 4 z))))
(if (<=.f64 y -115000000000000000) (.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 y 1050000000000000) (+.f64 (.f64 4 (/.f64 x z)) -2) (*.f64 (-.f64 x y) (/.f64 4 z))))
(if (<=.f64 z -64999999999999997811068662022740957101817856) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 z 650000000) (.f64 (-.f64 x y) (/.f64 4 z)) (*.f64 -4 (-.f64 (/.f64 y z) -1/2))))
(if (or (<=.f64 z -64999999999999997811068662022740957101817856) (not (<=.f64 z 650000000))) (.f64 -4 (+.f64 (/.f64 y z) 1/2)) (.f64 (-.f64 x y) (/.f64 4 z)))
(if (<=.f64 x -6199999999999999757532667099688906031381403819441132008884568255712661231082060661801343458013582082483098965604423679273742388374433474990256177882835241758885799578828800) (.f64 4 (/.f64 x z)) (if (<=.f64 x 6399999999999999874915185502816906205304088911790481402505342921607296344725009437393244111007870953563017510268412821658879808202780175640582226612162820499490865997884518932938752) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 x z))))
(if (or (<=.f64 x -6199999999999999757532667099688906031381403819441132008884568255712661231082060661801343458013582082483098965604423679273742388374433474990256177882835241758885799578828800) (not (<=.f64 x 6399999999999999874915185502816906205304088911790481402505342921607296344725009437393244111007870953563017510268412821658879808202780175640582226612162820499490865997884518932938752))) (.f64 4 (/.f64 x z)) (.f64 -4 (+.f64 (/.f64 y z) 1/2)))
(if (<=.f64 z -110000000000000001345674497036168837915117987345201293994133867705702625486831616) -2 (if (<=.f64 z -280000000000) (/.f64 (.f64 y -4) z) (if (<=.f64 z 3679554895086869/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624) (.f64 4 (/.f64 x z)) (if (<=.f64 z 6998747948750695/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128) (/.f64 (.f64 y -4) z) (if (<=.f64 z 331775307747915/170141183460469231731687303715884105728) (.f64 4 (/.f64 x z)) (if (<=.f64 z 570000000000000032312918016) (/.f64 (.f64 y -4) z) (if (<=.f64 z 7600000000000000551238916499622186958803645513313566861938397181640704) -2 (if (<=.f64 z 1150000000000000017893328548886869477908431606459220648375236167495458848339469058754733198402304564827637222998016) (/.f64 (.f64 y -4) z) (if (<=.f64 z 125000000000000002968179044831388169676082240978585273434183123583779678692752571571022203527010411766168246141730014509474176646236260196679680) (*.f64 4 (/.f64 x z)) -2)))))))))
(if (<=.f64 z -2499999999999999982849547589867553236914798592) -2 (if (<=.f64 z 410000000) (*.f64 4 (/.f64 x z)) -2))
-2

Compiler

Compiled 225 to 162 computations (28% saved)

soundness148.0ms (3.2%)

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)

end90.0ms (2%)

Compiler: Compiled 204 to 131 computations (35.8% saved)

Details

analyze387.0ms (8.5%)

sample1.4s (30.2%)

preprocess65.0ms (1.4%)

simplify56.0ms (1.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize14.0ms (0.3%)

series17.0ms (0.4%)

rewrite83.0ms (1.8%)

simplify109.0ms (2.4%)

localize14.0ms (0.3%)

series2.0ms (0%)

rewrite70.0ms (1.5%)

simplify53.0ms (1.2%)

eval125.0ms (2.7%)

prune57.0ms (1.2%)

localize10.0ms (0.2%)

series8.0ms (0.2%)

rewrite71.0ms (1.6%)

simplify89.0ms (2%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite52.0ms (1.1%)

simplify45.0ms (1%)

localize6.0ms (0.1%)

localize8.0ms (0.2%)

localize7.0ms (0.2%)

series2.0ms (0%)

rewrite71.0ms (1.6%)

simplify109.0ms (2.4%)

eval117.0ms (2.6%)

prune92.0ms (2%)

localize7.0ms (0.2%)

localize7.0ms (0.2%)

series2.0ms (0%)

rewrite62.0ms (1.4%)

simplify66.0ms (1.4%)

eval34.0ms (0.8%)

prune26.0ms (0.6%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes36.0ms (0.8%)

regimes141.0ms (3.1%)

bsearch25.0ms (0.5%)

regimes87.0ms (1.9%)

bsearch27.0ms (0.6%)

regimes74.0ms (1.6%)

bsearch29.0ms (0.6%)

regimes43.0ms (0.9%)

bsearch32.0ms (0.7%)

regimes84.0ms (1.9%)

bsearch323.0ms (7.1%)

regimes40.0ms (0.9%)

bsearch29.0ms (0.6%)

simplify14.0ms (0.3%)

soundness148.0ms (3.2%)

end90.0ms (2%)

Profiling