Details

analyze362.0ms (6.5%)

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)

sample1.5s (27.1%)

Results

1.2s	8256×	body	256	valid
303.0ms	1632×	body	256	infinite

Bogosity

preprocess64.0ms (1.2%)

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)

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 5 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 4 (/.f64 (-.f64 x y) z) -2)
▶	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 39 to 28 computations (28.2% saved)

localize21.0ms (0.4%)

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)

series9.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite106.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

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

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

simplify134.0ms (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)))

localize15.0ms (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)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite90.0ms (1.6%)

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))))))))

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

88 → 94

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 10 computations (58.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite59.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

58 → 47

Calls

Call 1

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

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

eval237.0ms (4.3%)

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

prune138.0ms (2.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	396	9	405
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	399	9	408

Error

Counts

408 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.9b	(/.f64 (-.f64 x y) (/.f64 z 4))
▶	45.9b	(/.f64 (*.f64 y -4) z)
	43.4b	(/.f64 4 (/.f64 z x))
▶	46.0b	(/.f64 -4 (/.f64 z y))
▶	0b	(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
	46.0b	(*.f64 (/.f64 -4 z) y)
▶	43.3b	(*.f64 4 (/.f64 x z))
	19.7b	(*.f64 -4 (-.f64 (/.f64 y z) -1/2))
	36.5b	-2

Compiler

Compiled 148 to 112 computations (24.3% 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)

series2.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite94.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 97

Calls

Call 1

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

Outputs

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

simplify147.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

121 → 165

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite55.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

21 → 24

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 -4 (/.f64 z y))

Compiler

Compiled 14 to 7 computations (50% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

52 → 31

Calls

Call 1

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

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

localize6.0ms (0.1%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite104.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`*-commutative`
966×	`associate-/r/`
690×	`associate-/l/`
678×	`swap-sqr`
474×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	210	19
2	3073	19

Stop Event

1×	node limit

Counts

1 → 104

Calls

Call 1

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

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

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-/r*`
888×	`associate-/l/`
630×	`unswap-sqr`
488×	`*-commutative`
408×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	4712
1	908	3896
2	3289	3818

Stop Event

1×	node limit

Counts

140 → 158

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 y (/.f64 -4 z)))
(+.f64 (.f64 x (/.f64 4 z)) (.f64 (/.f64 4 z) (neg.f64 y)))
(+.f64 (.f64 x (/.f64 4 z)) (.f64 (*.f64 y (/.f64 -4 z)) 1))
(+.f64 (.f64 y (/.f64 -4 z)) (.f64 x (/.f64 4 z)))
(+.f64 (.f64 (/.f64 4 z) (neg.f64 y)) (.f64 x (/.f64 4 z)))
(-.f64 (.f64 x (/.f64 4 z)) (.f64 y (/.f64 4 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 1)
(*.f64 (-.f64 x y) (/.f64 4 z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(.f64 (.f64 (-.f64 x y) (/.f64 4 z)) 1)
(.f64 1 (.f64 (-.f64 x y) (/.f64 4 z)))
(.f64 (sqrt.f64 (-.f64 x y)) (.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z)))
(.f64 (.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (.f64 (cbrt.f64 (-.f64 x y)) (/.f64 4 z)))
(.f64 (cbrt.f64 (.f64 (-.f64 x y) (/.f64 4 z))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))) 2))
(.f64 (cbrt.f64 (.f64 (-.f64 x y) (/.f64 4 z))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (.f64 (.f64 z z) 1/16))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 x y) (/.f64 4 z))) 2) (cbrt.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(*.f64 (/.f64 (-.f64 x y) z) 4)
(*.f64 (/.f64 4 z) (-.f64 x y))
(*.f64 (/.f64 4 z) (-.f64 x (/.f64 y 1)))
(*.f64 (/.f64 4 z) (-.f64 (/.f64 x 1) y))
(*.f64 (/.f64 4 z) (-.f64 (/.f64 x 1) (/.f64 y 1)))
(*.f64 (+.f64 y (neg.f64 x)) (/.f64 -4 z))
(*.f64 -4 (/.f64 (-.f64 x y) (neg.f64 z)))
(*.f64 -4 (-.f64 (/.f64 x (neg.f64 z)) (/.f64 y (neg.f64 z))))
(.f64 (.f64 (sqrt.f64 (-.f64 x y)) (/.f64 4 z)) (sqrt.f64 (-.f64 x y)))
(.f64 (.f64 (cbrt.f64 (-.f64 x y)) (/.f64 4 z)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))
(.f64 (/.f64 (-.f64 x y) (.f64 (sqrt.f64 z) 1/2)) (*.f64 1 (sqrt.f64 (/.f64 4 z))))
(*.f64 (/.f64 (-.f64 x y) (sqrt.f64 z)) (/.f64 4 (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4 (cbrt.f64 z)))
(.f64 (/.f64 1 z) (.f64 (-.f64 x y) 4))
(*.f64 (/.f64 1 z) (/.f64 (-.f64 x y) 1/4))
(*.f64 (/.f64 1 z) (-.f64 (/.f64 x 1/4) (/.f64 y 1/4)))
(.f64 (.f64 1 (sqrt.f64 (/.f64 4 z))) (/.f64 (-.f64 x y) (*.f64 (sqrt.f64 z) 1/2)))
(.f64 (.f64 1 (sqrt.f64 (/.f64 4 z))) (-.f64 (/.f64 x (.f64 (sqrt.f64 z) 1/2)) (.f64 (/.f64 y (sqrt.f64 z)) 2)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (.f64 z z) 1/16))) (.f64 (-.f64 x y) (cbrt.f64 (/.f64 4 z))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (.f64 z z) 1/16))) (-.f64 (/.f64 x (cbrt.f64 (.f64 z 1/4))) (/.f64 y (cbrt.f64 (*.f64 z 1/4)))))
(*.f64 (/.f64 (-.f64 x y) 1/4) (/.f64 1 z))
(.f64 (.f64 (-.f64 x y) (cbrt.f64 (/.f64 4 z))) (/.f64 1 (cbrt.f64 (.f64 (.f64 z z) 1/16))))
(*.f64 (/.f64 (-.f64 x y) (neg.f64 z)) -4)
(.f64 (/.f64 1 (neg.f64 z)) (.f64 (-.f64 x y) -4))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) (/.f64 (sqrt.f64 (-.f64 x y)) 1/4))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1/4) (/.f64 (sqrt.f64 (-.f64 x y)) z))
(.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) 4))
(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) 4) (sqrt.f64 (-.f64 x y)))
(.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 x y)) z) 4) (/.f64 (sqrt.f64 (-.f64 x y)) 1))
(.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (.f64 (.f64 z z) 1/16))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (.f64 z 1/4))))
(.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (.f64 z 1/4))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (.f64 (.f64 z z) 1/16))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) z) (/.f64 (cbrt.f64 (-.f64 x y)) 1/4))
(*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) 1/4) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (.f64 z 1/4)))
(.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (.f64 z 1/4)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (.f64 (sqrt.f64 z) 1/2)) (*.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)) 2))
(.f64 (.f64 (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 z)) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (sqrt.f64 z) 1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (.f64 (.f64 z z) 1/16))) (cbrt.f64 (.f64 (-.f64 x y) (/.f64 4 z))))
(*.f64 (/.f64 -4 z) (+.f64 y (neg.f64 x)))
(*.f64 (/.f64 (-.f64 x y) -1) (/.f64 -4 z))
(.f64 (/.f64 1 (/.f64 z (.f64 (sqrt.f64 (-.f64 x y)) 4))) (sqrt.f64 (-.f64 x y)))
(.f64 (/.f64 1 (/.f64 (.f64 z 1/4) (pow.f64 (cbrt.f64 (-.f64 x y)) 2))) (cbrt.f64 (-.f64 x y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (.f64 z 1/4)) (cbrt.f64 (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y (neg.f64 x)) -1) (/.f64 4 z))
(*.f64 (/.f64 (+.f64 y (neg.f64 x)) z) -4)
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (/.f64 4 z)) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 x y))
(.f64 (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (/.f64 4 z)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (-.f64 (.f64 x (pow.f64 x 3)) (.f64 (.f64 y y) (.f64 (+.f64 x y) (+.f64 x y))))) (-.f64 (.f64 x x) (.f64 y (+.f64 x y))))
(.f64 (/.f64 (.f64 (/.f64 4 z) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 y (+.f64 x y)) 3))) (+.f64 (.f64 x (pow.f64 x 3)) (.f64 (.f64 y (+.f64 x y)) (-.f64 (.f64 y (+.f64 x y)) (*.f64 x x)))))
(.f64 (/.f64 (/.f64 (-.f64 x y) (.f64 (sqrt.f64 z) 1/2)) 1) (sqrt.f64 (/.f64 4 z)))
(.f64 (/.f64 (/.f64 (-.f64 x y) (.f64 (sqrt.f64 z) 1/2)) (sqrt.f64 z)) 2)
(.f64 (/.f64 (/.f64 (-.f64 x y) (.f64 (sqrt.f64 z) 1/2)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 -4))
(.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (.f64 (*.f64 z z) 1/16))) 1) (cbrt.f64 (/.f64 4 z)))
(.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (.f64 (*.f64 z z) 1/16))) (cbrt.f64 z)) (cbrt.f64 4))
(.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (.f64 (*.f64 z z) 1/16))) (cbrt.f64 (neg.f64 z))) (cbrt.f64 -4))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) z) (.f64 4 (/.f64 4 z)))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) (.f64 z 1/4)) (/.f64 4 z))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) 1) (.f64 (/.f64 4 z) (/.f64 4 z)))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) (.f64 z z)) 16)
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) (neg.f64 z)) (.f64 (/.f64 4 z) -4))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) (.f64 z (*.f64 z 1/4))) 4)
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) (.f64 (*.f64 z 1/4) (neg.f64 z))) -4)
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) (.f64 z (neg.f64 z))) -16)
(pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1)
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) 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)
(pow.f64 (/.f64 (*.f64 z 1/4) (-.f64 x y)) -1)
(neg.f64 (*.f64 (/.f64 (-.f64 x y) z) -4))
(neg.f64 (*.f64 (-.f64 x y) (/.f64 -4 z)))
(neg.f64 (.f64 (.f64 (/.f64 (-.f64 x y) z) -4) 1))
(neg.f64 (.f64 1 (.f64 (/.f64 (-.f64 x y) z) -4)))
(neg.f64 (/.f64 (+.f64 y (neg.f64 x)) (*.f64 z 1/4)))
(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 x y) 3) (pow.f64 (*.f64 z 1/4) 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 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 x z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.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 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.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 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 -4 (/.f64 y z)) (.f64 4 (/.f64 x z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 (-.f64 x y) (/.f64 4 z)) (.f64 (/.f64 4 z) (fma.f64 (neg.f64 y) 1 y)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) 1 y)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (+.f64 y (neg.f64 y))))
(*.f64 (/.f64 4 z) (+.f64 y (-.f64 (-.f64 x y) 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 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))
(.f64 (/.f64 4 z) (+.f64 y (-.f64 (-.f64 x y) (.f64 (sqrt.f64 y) (sqrt.f64 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 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(.f64 (/.f64 4 z) (+.f64 y (-.f64 (-.f64 x y) (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (.f64 (-.f64 x y) (/.f64 4 z)) (.f64 (fma.f64 (neg.f64 y) 1 y) (/.f64 4 z)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 y) 1 y)))
(*.f64 (/.f64 4 z) (+.f64 (-.f64 x y) (+.f64 y (neg.f64 y))))
(*.f64 (/.f64 4 z) (+.f64 y (-.f64 (-.f64 x y) y)))
(+.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 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))
(.f64 (/.f64 4 z) (+.f64 y (-.f64 (-.f64 x y) (.f64 (sqrt.f64 y) (sqrt.f64 y)))))
(+.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 4 z) (+.f64 (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))
(.f64 (/.f64 4 z) (+.f64 y (-.f64 (-.f64 x y) (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (.f64 x (/.f64 4 z)) (.f64 y (/.f64 -4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 x (/.f64 4 z)) (.f64 (/.f64 4 z) (neg.f64 y)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 x (/.f64 4 z)) (.f64 (*.f64 y (/.f64 -4 z)) 1))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 y (/.f64 -4 z)) (.f64 x (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(+.f64 (.f64 (/.f64 4 z) (neg.f64 y)) (.f64 x (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(-.f64 (.f64 x (/.f64 4 z)) (.f64 y (/.f64 4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z)))) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 (-.f64 x y) (/.f64 4 z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(*.f64 4 (/.f64 (-.f64 x y) z))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
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(.f64 (/.f64 (-.f64 x y) (.f64 (*.f64 (sqrt.f64 z) 1/2) (sqrt.f64 (neg.f64 z)))) (sqrt.f64 -4))
(.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (.f64 (*.f64 z z) 1/16))) 1) (cbrt.f64 (/.f64 4 z)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 z (.f64 z 1/16)))) (.f64 (-.f64 x y) (cbrt.f64 (/.f64 4 z))))
(.f64 (cbrt.f64 (/.f64 4 z)) (/.f64 (-.f64 x y) (cbrt.f64 (.f64 z (*.f64 z 1/16)))))
(.f64 (-.f64 x y) (/.f64 (cbrt.f64 (/.f64 4 z)) (cbrt.f64 (.f64 z (*.f64 z 1/16)))))
(.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (.f64 (*.f64 z z) 1/16))) (cbrt.f64 z)) (cbrt.f64 4))
(/.f64 (.f64 (/.f64 (-.f64 x y) (cbrt.f64 (.f64 z (*.f64 z 1/16)))) (cbrt.f64 4)) (cbrt.f64 z))
(.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 z)) (cbrt.f64 (.f64 z (*.f64 z 1/16)))) (cbrt.f64 4))
(.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (.f64 (*.f64 z z) 1/16))) (cbrt.f64 (neg.f64 z))) (cbrt.f64 -4))
(.f64 (/.f64 (-.f64 x y) (.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (.f64 z (.f64 z 1/16))))) (cbrt.f64 -4))
(.f64 (/.f64 (/.f64 (-.f64 x y) (cbrt.f64 (.f64 z (*.f64 z 1/16)))) (cbrt.f64 (neg.f64 z))) (cbrt.f64 -4))
(.f64 (/.f64 (-.f64 x y) (.f64 (cbrt.f64 (.f64 z (.f64 z 1/16))) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 -4))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) z) (.f64 4 (/.f64 4 z)))
(.f64 (/.f64 (fma.f64 x (.f64 z 1/4) (.f64 y (.f64 z -1/4))) z) (/.f64 16 z))
(.f64 (fma.f64 y (.f64 z -1/4) (.f64 z (.f64 1/4 x))) (/.f64 (/.f64 16 z) z))
(.f64 (.f64 z (+.f64 (.f64 1/4 x) (.f64 y -1/4))) (/.f64 (/.f64 16 z) z))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) (.f64 z 1/4)) (/.f64 4 z))
(.f64 (/.f64 (fma.f64 x (.f64 z 1/4) (.f64 y (.f64 z -1/4))) z) (/.f64 16 z))
(.f64 (fma.f64 y (.f64 z -1/4) (.f64 z (.f64 1/4 x))) (/.f64 (/.f64 16 z) z))
(.f64 (.f64 z (+.f64 (.f64 1/4 x) (.f64 y -1/4))) (/.f64 (/.f64 16 z) z))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) 1) (.f64 (/.f64 4 z) (/.f64 4 z)))
(.f64 (/.f64 (fma.f64 x (.f64 z 1/4) (.f64 y (.f64 z -1/4))) z) (/.f64 16 z))
(.f64 (fma.f64 y (.f64 z -1/4) (.f64 z (.f64 1/4 x))) (/.f64 (/.f64 16 z) z))
(.f64 (.f64 z (+.f64 (.f64 1/4 x) (.f64 y -1/4))) (/.f64 (/.f64 16 z) z))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) (.f64 z z)) 16)
(.f64 (/.f64 (fma.f64 x (.f64 z 1/4) (.f64 y (.f64 z -1/4))) z) (/.f64 16 z))
(.f64 (fma.f64 y (.f64 z -1/4) (.f64 z (.f64 1/4 x))) (/.f64 (/.f64 16 z) z))
(.f64 (.f64 z (+.f64 (.f64 1/4 x) (.f64 y -1/4))) (/.f64 (/.f64 16 z) z))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) (neg.f64 z)) (.f64 (/.f64 4 z) -4))
(.f64 (/.f64 (fma.f64 x (.f64 z 1/4) (.f64 y (.f64 z -1/4))) z) (/.f64 16 z))
(.f64 (fma.f64 y (.f64 z -1/4) (.f64 z (.f64 1/4 x))) (/.f64 (/.f64 16 z) z))
(.f64 (.f64 z (+.f64 (.f64 1/4 x) (.f64 y -1/4))) (/.f64 (/.f64 16 z) z))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) (.f64 z (*.f64 z 1/4))) 4)
(.f64 (/.f64 (fma.f64 x (.f64 z 1/4) (.f64 y (.f64 z -1/4))) z) (/.f64 16 z))
(.f64 (fma.f64 y (.f64 z -1/4) (.f64 z (.f64 1/4 x))) (/.f64 (/.f64 16 z) z))
(.f64 (.f64 z (+.f64 (.f64 1/4 x) (.f64 y -1/4))) (/.f64 (/.f64 16 z) z))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) (.f64 (*.f64 z 1/4) (neg.f64 z))) -4)
(.f64 (/.f64 (fma.f64 x (.f64 z 1/4) (.f64 y (.f64 z -1/4))) z) (/.f64 16 z))
(.f64 (fma.f64 y (.f64 z -1/4) (.f64 z (.f64 1/4 x))) (/.f64 (/.f64 16 z) z))
(.f64 (.f64 z (+.f64 (.f64 1/4 x) (.f64 y -1/4))) (/.f64 (/.f64 16 z) z))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 z 1/4)) (.f64 (.f64 z -1/4) y)) (.f64 z (neg.f64 z))) -16)
(.f64 (/.f64 (fma.f64 x (.f64 z 1/4) (.f64 y (.f64 z -1/4))) z) (/.f64 16 z))
(.f64 (fma.f64 y (.f64 z -1/4) (.f64 z (.f64 1/4 x))) (/.f64 (/.f64 16 z) z))
(.f64 (.f64 z (+.f64 (.f64 1/4 x) (.f64 y -1/4))) (/.f64 (/.f64 16 z) z))
(pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (-.f64 x y) z))) 2)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) 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 -4 (/.f64 (-.f64 y x) 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 -4 (/.f64 (-.f64 y x) z))
(pow.f64 (/.f64 (*.f64 z 1/4) (-.f64 x y)) -1)
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(neg.f64 (*.f64 (/.f64 (-.f64 x y) z) -4))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(neg.f64 (*.f64 (-.f64 x y) (/.f64 -4 z)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(neg.f64 (.f64 (.f64 (/.f64 (-.f64 x y) z) -4) 1))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(neg.f64 (.f64 1 (.f64 (/.f64 (-.f64 x y) z) -4)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(neg.f64 (/.f64 (+.f64 y (neg.f64 x)) (*.f64 z 1/4)))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (/.f64 4 z)) 2))
(fabs.f64 (*.f64 -4 (/.f64 (-.f64 y x) 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 -4 (/.f64 (-.f64 y x) 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 -4 (/.f64 (-.f64 y x) 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 -4 (/.f64 (-.f64 y x) z))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 z 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (*.f64 (pow.f64 z 3) 1/64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(exp.f64 (log.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (/.f64 4 z))))
(fma.f64 -4 (/.f64 y z) (*.f64 4 (/.f64 x z)))
(*.f64 -4 (/.f64 (-.f64 y x) z))

eval99.0ms (1.8%)

Compiler: Compiled 6494 to 3164 computations (51.3% saved)

prune136.0ms (2.4%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	423	2	425
Fresh	1	3	4
Picked	0	1	1
Done	0	4	4
Total	424	10	434

Error

Counts

434 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.9b	(/.f64 (-.f64 x y) (/.f64 z 4))
✓	45.9b	(/.f64 (*.f64 y -4) z)
▶	43.4b	(/.f64 4 (/.f64 z x))
✓	46.0b	(/.f64 -4 (/.f64 z y))
✓	0b	(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
▶	16.9b	(-.f64 (*.f64 4 (/.f64 x z)) 2)
▶	19.7b	(-.f64 (*.f64 -4 (/.f64 y z)) 2)
▶	46.0b	(*.f64 (/.f64 -4 z) y)
✓	43.3b	(*.f64 4 (/.f64 x z))
	36.5b	-2

Compiler

Compiled 86 to 66 computations (23.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`add-sqr-sqrt`
1426×	`*-un-lft-identity`
1336×	`add-cube-cbrt`
1320×	`add-cbrt-cube`
1306×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	148	13
2	1800	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1852×	`distribute-rgt-in`
1840×	`distribute-lft-in`
1084×	`associate-r`
980×	`associate-l`
654×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	598
1	146	598
2	554	598
3	4237	598

Stop Event

1×	node limit

Counts

46 → 23

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 12 computations (45.5% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite52.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

21 → 28

Calls

Call 1

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

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

localize8.0ms (0.1%)

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)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 4 (/.f64 z x))

Compiler

Compiled 14 to 7 computations (50% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

52 → 28

Calls

Call 1

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

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

eval21.0ms (0.4%)

Compiler: Compiled 902 to 573 computations (36.5% saved)

prune22.0ms (0.4%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	103	10	113

Error

Counts

113 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.9b	(/.f64 (-.f64 x y) (/.f64 z 4))
✓	45.9b	(/.f64 (*.f64 y -4) z)
✓	43.4b	(/.f64 4 (/.f64 z x))
✓	46.0b	(/.f64 -4 (/.f64 z y))
✓	0b	(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
✓	16.9b	(-.f64 (*.f64 4 (/.f64 x z)) 2)
✓	19.7b	(-.f64 (*.f64 -4 (/.f64 y z)) 2)
✓	46.0b	(*.f64 (/.f64 -4 z) y)
✓	43.3b	(*.f64 4 (/.f64 x z))
	36.5b	-2

Compiler

Compiled 86 to 66 computations (23.3% saved)

eval0.0ms (0%)

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

prune5.0ms (0.1%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	9	9
Total	10	10

Error

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.9b	(/.f64 (-.f64 x y) (/.f64 z 4))
✓	45.9b	(/.f64 (*.f64 y -4) z)
✓	43.4b	(/.f64 4 (/.f64 z x))
✓	46.0b	(/.f64 -4 (/.f64 z y))
✓	0b	(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
✓	16.9b	(-.f64 (*.f64 4 (/.f64 x z)) 2)
✓	19.7b	(-.f64 (*.f64 -4 (/.f64 y z)) 2)
✓	46.0b	(*.f64 (/.f64 -4 z) y)
✓	43.3b	(*.f64 4 (/.f64 x z))
	36.5b	-2

Compiler

Compiled 86 to 66 computations (23.3% saved)

regimes44.0ms (0.8%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	z
8.0ms	(-.f64 x y)
8.0ms	y
8.0ms	x
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 128 to 79 computations (38.3% saved)

regimes99.0ms (1.8%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	x
25.0ms	(-.f64 x y)
19.0ms	y
19.0ms	z

Results

Error	Segments	Branch
6.1b	5	`x`
6.8b	3	`y`
7.7b	3	`z`
10.8b	4	`(-.f64 x y)`

Compiler

Compiled 75 to 49 computations (34.7% saved)

bsearch54.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
10.0ms	1.5254859900937766e+37	4.398200718638334e+37
13.0ms	1873.571581443187	36364.09024430669
16.0ms	2.5648384247670525e-50	1.2931059900582504e-45
15.0ms	-7.179219597653188e-97	-2.0338351342102077e-100

Results

48.0ms	448×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 636 to 504 computations (20.8% saved)

regimes60.0ms (1.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	z
17.0ms	x
17.0ms	y

Results

Error	Segments	Branch
7.2b	3	`x`
6.8b	3	`y`
13.8b	4	`z`

Compiler

Compiled 62 to 41 computations (33.9% saved)

bsearch45.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	3.3809461026161445e+33	9.513421530546052e+39
16.0ms	-4.4527686395209675e+125	-2.7467115696298725e+122

Results

40.0ms	272×	body	256	valid
1.0ms	14×	body	256	infinite

Compiler

Compiled 394 to 321 computations (18.5% saved)

regimes64.0ms (1.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	y
20.0ms	z
16.0ms	x

Results

Error	Segments	Branch
13.4b	3	`x`
16.0b	5	`y`
17.7b	3	`z`

Compiler

Compiled 55 to 37 computations (32.7% saved)

bsearch26.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.087031683057451e+121	4.4788044883021236e+125
9.0ms	-4.49008508139004e+135	-2.555963329280581e+135

Results

21.0ms	192×	body	256	valid
2.0ms	26×	body	256	infinite

Compiler

Compiled 260 to 207 computations (20.4% saved)

regimes96.0ms (1.7%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	x
35.0ms	y
14.0ms	z

Results

Error	Segments	Branch
24.8b	9	`x`
23.8b	7	`y`
25.2b	3	`z`

Compiler

Compiled 41 to 28 computations (31.7% saved)

bsearch95.0ms (1.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
16.0ms	3.3809461026161445e+33	9.513421530546052e+39
15.0ms	1.2948397490694724e-134	7.684783578692038e-132
15.0ms	8.269812203073064e-249	2.516026598277157e-245
16.0ms	-1.7302152444354412e-16	-1.491393816811498e-23
14.0ms	-4.312414985433637e+36	-2.9009102910186393e+33
19.0ms	-1.6404126085590705e+120	-1.3952660383593123e+107

Results

84.0ms	832×	body	256	valid
2.0ms	17×	body	256	infinite

Compiler

Compiled 748 to 639 computations (14.6% saved)

regimes77.0ms (1.4%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	x
27.0ms	y
13.0ms	z

Results

Error	Segments	Branch
24.8b	9	`x`
23.8b	7	`y`
25.2b	3	`z`

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch98.0ms (1.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
18.0ms	3.3809461026161445e+33	9.513421530546052e+39
14.0ms	1.2948397490694724e-134	7.684783578692038e-132
14.0ms	8.269812203073064e-249	2.516026598277157e-245
17.0ms	-1.7302152444354412e-16	-1.491393816811498e-23
15.0ms	-4.312414985433637e+36	-2.9009102910186393e+33
19.0ms	-1.6404126085590705e+120	-1.3952660383593123e+107

Results

85.0ms	832×	body	256	valid
2.0ms	23×	body	256	infinite

Compiler

Compiled 748 to 639 computations (14.6% saved)

regimes96.0ms (1.7%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	y
28.0ms	x
9.0ms	z

Results

Error	Segments	Branch
24.8b	9	`x`
23.8b	7	`y`
25.2b	3	`z`

Compiler

Compiled 26 to 19 computations (26.9% saved)

bsearch99.0ms (1.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
17.0ms	3.3809461026161445e+33	9.513421530546052e+39
16.0ms	1.2948397490694724e-134	7.684783578692038e-132
15.0ms	8.269812203073064e-249	2.516026598277157e-245
16.0ms	-1.7302152444354412e-16	-1.491393816811498e-23
15.0ms	-4.312414985433637e+36	-2.9009102910186393e+33
20.0ms	-1.6404126085590705e+120	-1.3952660383593123e+107

Results

88.0ms	832×	body	256	valid
1.0ms	12×	body	256	infinite

Compiler

Compiled 748 to 639 computations (14.6% saved)

regimes39.0ms (0.7%)

Accuracy

Total -36.9b remaining (-146.4%)

Threshold costs -36.9b (-146.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	y
14.0ms	x
9.0ms	z

Results

Error	Segments	Branch
27.3b	5	`x`
32.1b	5	`y`
25.2b	3	`z`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch32.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	2.110118736604654e+103	6.2009319827395854e+112
15.0ms	-1.87872800931663e+80	-5.2225247812999835e+75

Results

28.0ms

272×

body

256

valid

Compiler

Compiled 258 to 219 computations (15.1% saved)

simplify20.0ms (0.4%)

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	115	637
1	140	637
2	148	637
3	150	637
4	151	637

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 4 (/.f64 (-.f64 x y) z)) 2)
(if (<=.f64 x -6733741293329135/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (-.f64 (.f64 4 (/.f64 x z)) 2) (if (<=.f64 x 8098967743065311/6427752177035961102167848369364650410088811975131171341205504) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 x 17500) (/.f64 (-.f64 x y) (/.f64 z 4)) (if (<=.f64 x 17000000000000000278428977589276114944) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (-.f64 (.f64 4 (/.f64 x z)) 2)))))
(if (<=.f64 y -285000000000000003188295615968874444267540449271234323270454101898859492651973939381791133797926476601433074728343990960128) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 275000000000000000597628833629208576) (-.f64 (.f64 4 (/.f64 x z)) 2) (*.f64 -4 (-.f64 (/.f64 y z) -1/2))))
(if (<=.f64 x -4299999999999999722894238453501990615385248170858406649290609294578403051097972621254290890470954344538435639190257780371874650142015488) (.f64 4 (/.f64 x z)) (if (<=.f64 x 2199999999999999921605151124416169925509057994842114628066551448503482456116510605218693615518711246410229068746484183203840) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 x z))))
(if (<=.f64 y -8000000000000000404443421807960270513825896246424026232163851797777862111816683246593867016840497754019336905893609472) (/.f64 (.f64 y -4) z) (if (<=.f64 y -1100000000000000002390515334516834304) -2 (if (<=.f64 y -7301667457314601/81129638414606681695789005144064) (.f64 4 (/.f64 x z)) (if (<=.f64 y 2829072581632133/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) -2 (if (<=.f64 y 535442311350199/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (.f64 4 (/.f64 x z)) (if (<=.f64 y 71999999999999999512511028777059352576) -2 (/.f64 (.f64 y -4) z)))))))
(if (<=.f64 y -17500000000000000814727962011856710169074076771288673691557004019056275403974335196805588124958559293764877816904548352) (/.f64 -4 (/.f64 z y)) (if (<=.f64 y -2999999999999999836725692961128448) -2 (if (<=.f64 y -6490371073168535/40564819207303340847894502572032) (.f64 4 (/.f64 x z)) (if (<=.f64 y 6612649651675803/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) -2 (if (<=.f64 y 5933020476811757/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (.f64 4 (/.f64 x z)) (if (<=.f64 y 8499999999999999714201505336369988239360) -2 (/.f64 -4 (/.f64 z y))))))))
(if (<=.f64 y -2250000000000000002968880752486745568678127550529106506041415970619584458415076215012921240599248506927032827904) (.f64 (/.f64 -4 z) y) (if (<=.f64 y -7500000000000000456505360857956352) -2 (if (<=.f64 y -215500602038799/1267650600228229401496703205376) (.f64 4 (/.f64 x z)) (if (<=.f64 y 5289135696094857/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) -2 (if (<=.f64 y 5319259737831231/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (.f64 4 (/.f64 x z)) (if (<=.f64 y 1049999999999999929138838317591905173504) -2 (.f64 (/.f64 -4 z) y)))))))
(if (<=.f64 z -5399999999999999964875878311271286183889008138838712158713964267942344392704) -2 (if (<=.f64 z 21999999999999999246427673630504084748139415764920880084631836045429997227745389602091999972326566264832) (*.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 x -6733741293329135/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (-.f64 (.f64 4 (/.f64 x z)) 2) (if (<=.f64 x 8098967743065311/6427752177035961102167848369364650410088811975131171341205504) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 x 17500) (/.f64 (-.f64 x y) (/.f64 z 4)) (if (<=.f64 x 17000000000000000278428977589276114944) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (-.f64 (.f64 4 (/.f64 x z)) 2)))))
(if (<=.f64 x -6733741293329135/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (+.f64 (.f64 4 (/.f64 x z)) -2) (if (<=.f64 x 8098967743065311/6427752177035961102167848369364650410088811975131171341205504) (.f64 -4 (+.f64 (/.f64 y z) 1/2)) (if (<=.f64 x 17500) (/.f64 (-.f64 x y) (/.f64 z 4)) (if (<=.f64 x 17000000000000000278428977589276114944) (.f64 -4 (+.f64 (/.f64 y z) 1/2)) (+.f64 (.f64 4 (/.f64 x z)) -2)))))
(if (<=.f64 y -285000000000000003188295615968874444267540449271234323270454101898859492651973939381791133797926476601433074728343990960128) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (if (<=.f64 y 275000000000000000597628833629208576) (-.f64 (.f64 4 (/.f64 x z)) 2) (*.f64 -4 (-.f64 (/.f64 y z) -1/2))))
(if (or (<=.f64 y -285000000000000003188295615968874444267540449271234323270454101898859492651973939381791133797926476601433074728343990960128) (not (<=.f64 y 275000000000000000597628833629208576))) (.f64 -4 (+.f64 (/.f64 y z) 1/2)) (+.f64 (.f64 4 (/.f64 x z)) -2))
(if (<=.f64 x -4299999999999999722894238453501990615385248170858406649290609294578403051097972621254290890470954344538435639190257780371874650142015488) (.f64 4 (/.f64 x z)) (if (<=.f64 x 2199999999999999921605151124416169925509057994842114628066551448503482456116510605218693615518711246410229068746484183203840) (.f64 -4 (-.f64 (/.f64 y z) -1/2)) (*.f64 4 (/.f64 x z))))
(if (or (<=.f64 x -4299999999999999722894238453501990615385248170858406649290609294578403051097972621254290890470954344538435639190257780371874650142015488) (not (<=.f64 x 2199999999999999921605151124416169925509057994842114628066551448503482456116510605218693615518711246410229068746484183203840))) (.f64 4 (/.f64 x z)) (.f64 -4 (+.f64 (/.f64 y z) 1/2)))
(if (<=.f64 y -8000000000000000404443421807960270513825896246424026232163851797777862111816683246593867016840497754019336905893609472) (/.f64 (.f64 y -4) z) (if (<=.f64 y -1100000000000000002390515334516834304) -2 (if (<=.f64 y -7301667457314601/81129638414606681695789005144064) (.f64 4 (/.f64 x z)) (if (<=.f64 y 2829072581632133/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) -2 (if (<=.f64 y 535442311350199/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (.f64 4 (/.f64 x z)) (if (<=.f64 y 71999999999999999512511028777059352576) -2 (/.f64 (.f64 y -4) z)))))))
(if (<=.f64 y -17500000000000000814727962011856710169074076771288673691557004019056275403974335196805588124958559293764877816904548352) (/.f64 -4 (/.f64 z y)) (if (<=.f64 y -2999999999999999836725692961128448) -2 (if (<=.f64 y -6490371073168535/40564819207303340847894502572032) (.f64 4 (/.f64 x z)) (if (<=.f64 y 6612649651675803/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) -2 (if (<=.f64 y 5933020476811757/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (.f64 4 (/.f64 x z)) (if (<=.f64 y 8499999999999999714201505336369988239360) -2 (/.f64 -4 (/.f64 z y))))))))
(if (<=.f64 y -2250000000000000002968880752486745568678127550529106506041415970619584458415076215012921240599248506927032827904) (.f64 (/.f64 -4 z) y) (if (<=.f64 y -7500000000000000456505360857956352) -2 (if (<=.f64 y -215500602038799/1267650600228229401496703205376) (.f64 4 (/.f64 x z)) (if (<=.f64 y 5289135696094857/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) -2 (if (<=.f64 y 5319259737831231/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (.f64 4 (/.f64 x z)) (if (<=.f64 y 1049999999999999929138838317591905173504) -2 (.f64 (/.f64 -4 z) y)))))))
(if (<=.f64 y -2250000000000000002968880752486745568678127550529106506041415970619584458415076215012921240599248506927032827904) (.f64 y (/.f64 -4 z)) (if (<=.f64 y -7500000000000000456505360857956352) -2 (if (<=.f64 y -215500602038799/1267650600228229401496703205376) (.f64 4 (/.f64 x z)) (if (<=.f64 y 5289135696094857/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) -2 (if (<=.f64 y 5319259737831231/409173825987017733751648712103449894027080255755383098685411421012016724550584319360408761540738019643860835515945008876152157068235674131666065948672) (.f64 4 (/.f64 x z)) (if (<=.f64 y 1049999999999999929138838317591905173504) -2 (.f64 y (/.f64 -4 z))))))))
(if (<=.f64 z -5399999999999999964875878311271286183889008138838712158713964267942344392704) -2 (if (<=.f64 z 21999999999999999246427673630504084748139415764920880084631836045429997227745389602091999972326566264832) (*.f64 4 (/.f64 x z)) -2))
-2

Compiler

Compiled 288 to 206 computations (28.5% saved)

soundness151.0ms (2.7%)

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)

end111.0ms (2%)

Compiler: Compiled 264 to 173 computations (34.5% saved)

Details

analyze362.0ms (6.5%)

sample1.5s (27.1%)

preprocess64.0ms (1.2%)

simplify55.0ms (1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize21.0ms (0.4%)

series9.0ms (0.2%)

rewrite106.0ms (1.9%)

simplify134.0ms (2.4%)

localize15.0ms (0.3%)

series1.0ms (0%)

rewrite90.0ms (1.6%)

simplify77.0ms (1.4%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite59.0ms (1.1%)

simplify54.0ms (1%)

eval237.0ms (4.3%)

prune138.0ms (2.5%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite94.0ms (1.7%)

simplify147.0ms (2.6%)

localize5.0ms (0.1%)

series3.0ms (0%)

rewrite55.0ms (1%)

simplify52.0ms (0.9%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite57.0ms (1%)

simplify44.0ms (0.8%)

localize6.0ms (0.1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite104.0ms (1.9%)

simplify74.0ms (1.3%)

eval99.0ms (1.8%)

prune136.0ms (2.4%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite51.0ms (0.9%)

simplify69.0ms (1.2%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite52.0ms (0.9%)

simplify44.0ms (0.8%)

localize8.0ms (0.1%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite53.0ms (1%)

simplify52.0ms (0.9%)

eval21.0ms (0.4%)

prune22.0ms (0.4%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes44.0ms (0.8%)

regimes99.0ms (1.8%)

bsearch54.0ms (1%)

regimes60.0ms (1.1%)

bsearch45.0ms (0.8%)

regimes64.0ms (1.2%)

bsearch26.0ms (0.5%)

regimes96.0ms (1.7%)

bsearch95.0ms (1.7%)

regimes77.0ms (1.4%)

bsearch98.0ms (1.8%)

regimes96.0ms (1.7%)

bsearch99.0ms (1.8%)

regimes39.0ms (0.7%)

bsearch32.0ms (0.6%)

simplify20.0ms (0.4%)

soundness151.0ms (2.7%)

end111.0ms (2%)

Profiling