Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 18 to 14 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-div: 0.0ms (0% of total)

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.5s (32.2%)

Results

1.2s	8252×	0	valid
0.0ms	3×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 727.0ms

ival-div: 273.0ms (37.6% of total)

ival-mult: 202.0ms (27.8% of total)

ival-sub: 185.0ms (25.5% of total)

ival-add: 46.0ms (6.3% of total)

const: 18.0ms (2.5% of total)

backward-pass: 2.0ms (0.3% of total)

Bogosity

preprocess340.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

1797×	`fma-neg`
591×	`fma-define`
309×	`sub-neg`
176×	`associate-+l-`
173×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	728
1	186	652
2	475	576
3	1308	576
4	3205	576
5	3979	576
6	4179	576
7	4202	576
8	4211	576
9	4211	576
10	4213	576
11	5624	576
12	5624	576
13	5624	576

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) (neg.f64 x)) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 (neg.f64 y) z) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y (neg.f64 z)) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (neg.f64 t))
(neg.f64 (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) (neg.f64 x)) (/.f64 (.f64 y z) #s(literal 2 binary64))) t))
(neg.f64 (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 (neg.f64 y) z) #s(literal 2 binary64))) t))
(neg.f64 (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y (neg.f64 z)) #s(literal 2 binary64))) t))
(neg.f64 (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (neg.f64 t)))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) y) (/.f64 (.f64 x z) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) z) (/.f64 (.f64 y x) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) t) (/.f64 (.f64 y z) #s(literal 2 binary64))) x)
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 z y) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 t z) #s(literal 2 binary64))) y)
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y t) #s(literal 2 binary64))) z)

Outputs
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(+.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 (*.f64 y z) #s(literal -2 binary64))) t)
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(+.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 (*.f64 y z) #s(literal -2 binary64))) t)
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) (neg.f64 x)) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)
(+.f64 t (-.f64 (.f64 #s(literal 1/8 binary64) (neg.f64 x)) (.f64 y (/.f64 z #s(literal 2 binary64)))))
(+.f64 (.f64 x #s(literal -1/8 binary64)) (+.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) t))
(fma.f64 x #s(literal -1/8 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/8 binary64) t))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 (neg.f64 y) z) #s(literal 2 binary64))) t)
(+.f64 t (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (neg.f64 y) (/.f64 z #s(literal 2 binary64)))))
(-.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (/.f64 (.f64 y z) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (/.f64 z #s(literal 2 binary64)) t))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y (neg.f64 z)) #s(literal 2 binary64))) t)
(+.f64 t (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (neg.f64 y) (/.f64 z #s(literal 2 binary64)))))
(-.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (/.f64 (.f64 y z) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (/.f64 z #s(literal 2 binary64)) t))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (neg.f64 t))
(-.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 z (/.f64 y #s(literal 2 binary64)) t))
(-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 y (/.f64 z #s(literal 2 binary64)) t))
(-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t))
(neg.f64 (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) (neg.f64 x)) (/.f64 (.f64 y z) #s(literal 2 binary64))) t))
(neg.f64 (+.f64 t (-.f64 (.f64 #s(literal 1/8 binary64) (neg.f64 x)) (.f64 y (/.f64 z #s(literal 2 binary64))))))
(-.f64 (neg.f64 t) (+.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 (.f64 y z) #s(literal -2 binary64))))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x (*.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(-.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 x #s(literal -1/8 binary64) t))
(neg.f64 (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 (neg.f64 y) z) #s(literal 2 binary64))) t))
(neg.f64 (+.f64 t (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (neg.f64 y) (/.f64 z #s(literal 2 binary64))))))
(+.f64 (.f64 x #s(literal -1/8 binary64)) (-.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) t))
(-.f64 (*.f64 x #s(literal -1/8 binary64)) (fma.f64 y (/.f64 z #s(literal 2 binary64)) t))
(-.f64 (.f64 x #s(literal -1/8 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t))
(neg.f64 (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y (neg.f64 z)) #s(literal 2 binary64))) t))
(neg.f64 (+.f64 t (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (neg.f64 y) (/.f64 z #s(literal 2 binary64))))))
(+.f64 (.f64 x #s(literal -1/8 binary64)) (-.f64 (/.f64 (.f64 y z) #s(literal -2 binary64)) t))
(-.f64 (*.f64 x #s(literal -1/8 binary64)) (fma.f64 y (/.f64 z #s(literal 2 binary64)) t))
(-.f64 (.f64 x #s(literal -1/8 binary64)) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) t))
(neg.f64 (+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) (neg.f64 t)))
(neg.f64 (-.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t))
(+.f64 (*.f64 x #s(literal -1/8 binary64)) (fma.f64 z (/.f64 y #s(literal 2 binary64)) t))
(fma.f64 x #s(literal -1/8 binary64) (fma.f64 y (/.f64 z #s(literal 2 binary64)) t))
(fma.f64 x #s(literal -1/8 binary64) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t))
(fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/8 binary64) t))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) y) (/.f64 (.f64 x z) #s(literal 2 binary64))) t)
(+.f64 t (-.f64 (.f64 #s(literal 1/8 binary64) y) (.f64 x (/.f64 z #s(literal 2 binary64)))))
(+.f64 t (fma.f64 #s(literal 1/8 binary64) y (/.f64 (*.f64 x z) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/8 binary64) y (fma.f64 x (*.f64 z #s(literal -1/2 binary64)) t))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) z) (/.f64 (.f64 y x) #s(literal 2 binary64))) t)
(+.f64 t (-.f64 (.f64 #s(literal 1/8 binary64) z) (.f64 y (/.f64 x #s(literal 2 binary64)))))
(+.f64 t (fma.f64 #s(literal 1/8 binary64) z (/.f64 (*.f64 x y) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/8 binary64) z (fma.f64 y (/.f64 x #s(literal -2 binary64)) t))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) z t))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) t) (/.f64 (.f64 y z) #s(literal 2 binary64))) x)
(+.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) t) (.f64 y (/.f64 z #s(literal 2 binary64)))))
(+.f64 x (fma.f64 #s(literal 1/8 binary64) t (/.f64 (*.f64 y z) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/8 binary64) t (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 z y) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(+.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 (*.f64 y z) #s(literal -2 binary64))) t)
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 t z) #s(literal 2 binary64))) y)
(+.f64 y (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 t (/.f64 z #s(literal 2 binary64)))))
(+.f64 y (fma.f64 #s(literal 1/8 binary64) x (/.f64 (*.f64 z t) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 t (*.f64 z #s(literal -1/2 binary64)) y))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 z (*.f64 t #s(literal -1/2 binary64)) y))
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y t) #s(literal 2 binary64))) z)
(+.f64 z (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 t #s(literal 2 binary64)))))
(+.f64 z (fma.f64 #s(literal 1/8 binary64) x (/.f64 (*.f64 y t) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (/.f64 t #s(literal -2 binary64)) z))
(fma.f64 y (*.f64 t #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x z))

Symmetry

(sort y z)

explain308.0ms (6.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
0	-	-	`#s(literal 8 binary64)`
0	-	-	`t`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))`
0	-	-	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
0	-	-	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
0	-	-	`(*.f64 y z)`
0	-	-	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`	o/n	1	0
↳	`(*.f64 y z)`	overflow	32

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Results

126.0ms

512×

valid

Compiler

Compiled 138 to 54 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 78.0ms (84% of total)

ival-div: 8.0ms (8.6% of total)

ival-add: 3.0ms (3.2% of total)

ival-sub: 3.0ms (3.2% of total)

const: 1.0ms (1.1% of total)

backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 34 to 20 computations (41.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 z #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 y (/.f64 z #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/8 binary64) x)

Rules

409×	`fma-define`
299×	`fma-neg`
79×	`cancel-sign-sub-inv`
59×	`distribute-lft-neg-in`
57×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	134
1	33	126
2	70	122
3	122	122
4	241	122
5	459	122
6	725	122
7	1036	122
8	1452	122
9	1508	122

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
(*.f64 y (/.f64 z #s(literal 2 binary64)))
y
(/.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
t

Outputs
(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(-.f64 (.f64 #s(literal 1/8 binary64) x) (-.f64 (.f64 y (/.f64 z #s(literal 2 binary64))) t))
(+.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 (*.f64 y z) #s(literal -2 binary64))) t)
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (/.f64 z #s(literal -2 binary64)) t))
(fma.f64 y (/.f64 z #s(literal -2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x t))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64))))
(fma.f64 #s(literal 1/8 binary64) x (/.f64 (*.f64 y z) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 y (/.f64 z #s(literal -2 binary64))))
(fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
(*.f64 y (/.f64 z #s(literal 2 binary64)))
(.f64 y (.f64 z #s(literal 1/2 binary64)))
y
(/.f64 z #s(literal 2 binary64))
(*.f64 z #s(literal 1/2 binary64))
z
#s(literal 2 binary64)
t

localize37.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
✓	accuracy	100.0%	(*.f64 y (/.f64 z #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64))))

Results

26.0ms

256×

valid

Compiler

Compiled 42 to 12 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (54.3% of total)

ival-div: 2.0ms (18.1% of total)

ival-sub: 1.0ms (9.1% of total)

ival-add: 1.0ms (9.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series19.0ms (0.4%)

Counts

5 → 120

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 y (/.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 z #s(literal 2 binary64))>
#<alt (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)>

Outputs
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 y z))>
#<alt (*.f64 #s(literal 1/2 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) z)>
#<alt (*.f64 #s(literal 1/2 binary64) z)>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))>
#<alt (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))>
#<alt (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)) #s(literal 1/8 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)) #s(literal 1/8 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)) #s(literal 1/8 binary64))))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 y (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)))>
#<alt (.f64 y (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)))>
#<alt (.f64 y (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) z))))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x z)) (.f64 #s(literal -1/2 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x z)) (.f64 #s(literal -1/2 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x z)) (.f64 #s(literal -1/2 binary64) y))))>
#<alt (-.f64 t (.f64 #s(literal 1/2 binary64) (.f64 y z)))>
#<alt (-.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))>
#<alt (-.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))>
#<alt (-.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 t x)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 t x)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 t x)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) x))))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 t (.f64 #s(literal 1/2 binary64) (*.f64 y z))) x)) #s(literal 1/8 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 t (.f64 #s(literal 1/2 binary64) (*.f64 y z))) x)) #s(literal 1/8 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 t (.f64 #s(literal 1/2 binary64) (*.f64 y z))) x)) #s(literal 1/8 binary64))))>
#<alt (+.f64 t (*.f64 #s(literal 1/8 binary64) x))>
#<alt (+.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x)))>
#<alt (+.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x)))>
#<alt (+.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 y (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (/.f64 t y)) (*.f64 #s(literal 1/2 binary64) z)))>
#<alt (.f64 y (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (/.f64 t y)) (*.f64 #s(literal 1/2 binary64) z)))>
#<alt (.f64 y (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (/.f64 t y)) (*.f64 #s(literal 1/2 binary64) z)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) y)) (*.f64 #s(literal -1/2 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) y)) (*.f64 #s(literal -1/2 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) y)) (*.f64 #s(literal -1/2 binary64) z))))>
#<alt (+.f64 t (*.f64 #s(literal 1/8 binary64) x))>
#<alt (+.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x)))>
#<alt (+.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x)))>
#<alt (+.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 z (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x z)) (/.f64 t z)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 z (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x z)) (/.f64 t z)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 z (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x z)) (/.f64 t z)) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) z)) (*.f64 #s(literal -1/2 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) z)) (*.f64 #s(literal -1/2 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) z)) (*.f64 #s(literal -1/2 binary64) y))))>
#<alt (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))>
#<alt (-.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))>
#<alt (-.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))>
#<alt (-.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))>
#<alt t>
#<alt (.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) t))))>
#<alt (.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) t))))>
#<alt (.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) t))))>
#<alt t>
#<alt (.f64 #s(literal -1 binary64) (.f64 t (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 y z))) t)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 t (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 y z))) t)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 t (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 y z))) t)) #s(literal 1 binary64))))>

Calls

33 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(+ (- (* 1/8 x) (* y (/ z 2))) t)
1.0ms	z	@	inf	(/ z 2)
1.0ms	y	@	inf	(* y (/ z 2))
1.0ms	y	@	0	(* y (/ z 2))
1.0ms	z	@	inf	(* y (/ z 2))

rewrite533.0ms (11.5%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log1p-expm1-u`
782×	`expm1-log1p-u`
762×	`fma-define`
369×	`fma-neg`
202×	`expm1-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	116
1	233	108
2	3329	104

Stop Event

1×	node limit

Counts

5 → 309

Calls

Call 1

Inputs
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 y (/.f64 z #s(literal 2 binary64)))
(/.f64 z #s(literal 2 binary64))
(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64))))
(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/8 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/8 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/8 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/8 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/8 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 y (/.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y z)))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 y z)) #s(literal -2 binary64))
(/.f64 (*.f64 y (neg.f64 z)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 z) y) #s(literal -2 binary64))
(pow.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (.f64 y (.f64 z #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 z #s(literal 1/2 binary64))
(.f64 (.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 z #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 2 binary64)))
(*.f64 (neg.f64 z) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
(pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/2 binary64))))))
(+.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (fma.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64) (.f64 y (.f64 z #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))) (pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 y (.f64 z #s(literal 1/2 binary64)))))
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(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/8 binary64)) (neg.f64 (-.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64))) t)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/8 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (sqrt.f64 t) (sqrt.f64 t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t (-.f64 t (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))) (pow.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)) (/.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) t)
(fma.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)) (/.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (+.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/2 binary64)))) t))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 z (.f64 #s(literal 1/2 binary64) y) t))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))) t)
(fma.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))) (+.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/2 binary64)))) t))
(fma.f64 (+.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))) t)
(fma.f64 (+.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))) (+.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/2 binary64)))) t))
(fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64))) t)))
(fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64))) t)))
(fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))

simplify265.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-neg`
616×	`distribute-lft-in`
384×	`distribute-lft-neg-in`
375×	`distribute-rgt-neg-in`
196×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	623	16930
1	1414	16027
2	3977	15760

Stop Event

1×	node limit

Counts

429 → 414

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)) #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)) #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)) #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/8 binary64) x)
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 y (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)))
(.f64 y (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)))
(.f64 y (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) z))))
(*.f64 #s(literal 1/8 binary64) x)
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 z (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 z (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 z (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x z)) (.f64 #s(literal -1/2 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x z)) (.f64 #s(literal -1/2 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x z)) (.f64 #s(literal -1/2 binary64) y))))
(-.f64 t (.f64 #s(literal 1/2 binary64) (.f64 y z)))
(-.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(-.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(-.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 t x)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 t x)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (-.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 t x)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 t (.f64 #s(literal 1/2 binary64) (*.f64 y z))) x)) #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 t (.f64 #s(literal 1/2 binary64) (*.f64 y z))) x)) #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 t (.f64 #s(literal 1/2 binary64) (*.f64 y z))) x)) #s(literal 1/8 binary64))))
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
(+.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x)))
(+.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x)))
(+.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x)))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 y (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (/.f64 t y)) (*.f64 #s(literal 1/2 binary64) z)))
(.f64 y (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (/.f64 t y)) (*.f64 #s(literal 1/2 binary64) z)))
(.f64 y (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (/.f64 t y)) (*.f64 #s(literal 1/2 binary64) z)))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) y)) (*.f64 #s(literal -1/2 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) y)) (*.f64 #s(literal -1/2 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) y)) (*.f64 #s(literal -1/2 binary64) z))))
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
(+.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x)))
(+.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x)))
(+.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x)))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 z (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x z)) (/.f64 t z)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 z (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x z)) (/.f64 t z)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 z (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x z)) (/.f64 t z)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) z)) (*.f64 #s(literal -1/2 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) z)) (*.f64 #s(literal -1/2 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) z)) (*.f64 #s(literal -1/2 binary64) y))))
(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(-.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(-.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(-.f64 (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
t
(.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) t))))
(.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) t))))
(.f64 t (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) t))))
t
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 y z))) t)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 y z))) t)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 y z))) t)) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/8 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/8 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/8 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/8 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/8 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/8 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/8 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 y (/.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y z)))
(/.f64 (*.f64 y z) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 y z)) #s(literal -2 binary64))
(/.f64 (*.f64 y (neg.f64 z)) #s(literal -2 binary64))
(/.f64 (*.f64 (neg.f64 z) y) #s(literal -2 binary64))
(pow.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (.f64 y (.f64 z #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 z #s(literal 1/2 binary64))
(.f64 (.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 z #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 1/2 binary64))))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 2 binary64)))
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(fma.f64 (cbrt.f64 (.f64 #s(literal 1/8 binary64) x)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (.f64 #s(literal 1/8 binary64) x)) (neg.f64 (-.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) t)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (.f64 #s(literal 1/8 binary64) x)) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/8 binary64)) (neg.f64 (-.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64))) t)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) #s(literal 1/8 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (cbrt.f64 t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (sqrt.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))) t)
(fma.f64 (sqrt.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))) (sqrt.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))) (+.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/2 binary64)))) t))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))) (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (neg.f64 (-.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) t)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/8 binary64)) (neg.f64 (-.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64))) t)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/8 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (sqrt.f64 t) (sqrt.f64 t) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t (-.f64 t (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))) (pow.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)) (/.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) t)
(fma.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64)) (/.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (+.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/2 binary64)))) t))
(fma.f64 (-.f64 (pow.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) x) (fma.f64 z (.f64 #s(literal 1/2 binary64) y) t))) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) x))) t)
(fma.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))) (+.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (.f64 z #s(literal 1/2 binary64)))) t))
(fma.f64 (+.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))) t)
(fma.f64 (+.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))) (+.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/2 binary64)))) t))
(fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64))) t)))
(fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64))) t)))
(fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal 1/2 binary64) z))
(.f64 z (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 #s(literal 1/2 binary64) z)
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
(fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) x)))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 z x)) #s(literal 1/8 binary64)))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) x)))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 z x)) #s(literal 1/8 binary64)))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) x)))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 z x)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)) #s(literal 1/8 binary64))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) x)))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 z x)) #s(literal 1/8 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)) #s(literal 1/8 binary64))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) x)))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 z x)) #s(literal 1/8 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) x)) #s(literal 1/8 binary64))))
(.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) x)))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 y (/.f64 z x)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/8 binary64) x)
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(.f64 y (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)))
(.f64 y (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 z #s(literal -1/2 binary64))))
(.f64 y (fma.f64 #s(literal 1/8 binary64) (/.f64 x y) (.f64 z #s(literal -1/2 binary64))))
(.f64 y (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)))
(.f64 y (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 z #s(literal -1/2 binary64))))
(.f64 y (fma.f64 #s(literal 1/8 binary64) (/.f64 x y) (.f64 z #s(literal -1/2 binary64))))
(.f64 y (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) z)))
(.f64 y (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x y)) (*.f64 z #s(literal -1/2 binary64))))
(.f64 y (fma.f64 #s(literal 1/8 binary64) (/.f64 x y) (.f64 z #s(literal -1/2 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) z))))
(.f64 (neg.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 x y) (.f64 #s(literal 1/2 binary64) z)))
(.f64 (fma.f64 (/.f64 x y) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) z)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) z))))
(.f64 (neg.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 x y) (.f64 #s(literal 1/2 binary64) z)))
(.f64 (fma.f64 (/.f64 x y) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) z)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x y)) (.f64 #s(literal -1/2 binary64) z))))
(.f64 (neg.f64 y) (fma.f64 #s(literal -1/8 binary64) (/.f64 x y) (.f64 #s(literal 1/2 binary64) z)))
(.f64 (fma.f64 (/.f64 x y) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) z)) (neg.f64 y))
(*.f64 #s(literal 1/8 binary64) x)
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y z)) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) x))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(.f64 z (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) y)))
(.f64 z (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x z)) (*.f64 y #s(literal -1/2 binary64))))
(.f64 z (fma.f64 #s(literal 1/8 binary64) (/.f64 x z) (.f64 y #s(literal -1/2 binary64))))
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(+.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (+.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))) (-.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (.f64 y (.f64 z #s(literal 1/2 binary64))))) (+.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (.f64 y (*.f64 z #s(literal 1/2 binary64)))) t))
(+.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64))) t)))
(+.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
(+.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 y (*.f64 z #s(literal 1/2 binary64))) t)))
(+.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
(+.f64 t (fma.f64 #s(literal 1/8 binary64) x (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))

eval77.0ms (1.7%)

Compiler: Compiled 8670 to 1194 computations (86.2% saved)

prune223.0ms (4.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	411	3	414
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	411	4	415

Accuracy

100.0%

Counts

415 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
▶	70.4%	(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) t)
▶	63.5%	(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
▶	34.4%	t

Compiler

Compiled 40 to 30 computations (25% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) t)
✓	cost-diff	0	(*.f64 z #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	cost-diff	-6272	(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
	cost-diff	0	(*.f64 #s(literal 1/8 binary64) x)

Rules

8×	`fma-define`
6×	`*-commutative`
3×	`associate-r`
3×	`associate-l`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	28	104
2	38	104
3	44	104

Stop Event

1×

saturated

Calls

Call 1

Inputs
t
(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
t
(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) t)
(.f64 y (.f64 z #s(literal -1/2 binary64)))
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
t

Outputs
t
(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
(fma.f64 #s(literal 1/8 binary64) x t)
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
t
(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(.f64 y (.f64 z #s(literal -1/2 binary64)))
y
(*.f64 z #s(literal -1/2 binary64))
z
#s(literal -1/2 binary64)
t

localize41.0ms (0.9%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) t)
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)

Results

30.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (78.7% of total)

ival-add: 3.0ms (21.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) x) t)>
#<alt (.f64 y (.f64 z #s(literal -1/2 binary64)))>
#<alt (*.f64 z #s(literal -1/2 binary64))>
#<alt (+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) t)>

Outputs
#<alt t>
#<alt (+.f64 t (*.f64 #s(literal 1/8 binary64) x))>
#<alt (+.f64 t (*.f64 #s(literal 1/8 binary64) x))>
#<alt (+.f64 t (*.f64 #s(literal 1/8 binary64) x))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 t x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 t x)))>
#<alt (*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 t x)))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal 1/8 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal 1/8 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal 1/8 binary64))))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (+.f64 t (*.f64 #s(literal 1/8 binary64) x))>
#<alt (+.f64 t (*.f64 #s(literal 1/8 binary64) x))>
#<alt (+.f64 t (*.f64 #s(literal 1/8 binary64) x))>
#<alt t>
#<alt (.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))))>
#<alt (.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))))>
#<alt (.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))))>
#<alt t>
#<alt (.f64 #s(literal -1 binary64) (.f64 t (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x t)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 t (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x t)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 t (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x t)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (*.f64 #s(literal -1/2 binary64) z)>
#<alt (*.f64 #s(literal -1/2 binary64) z)>
#<alt (*.f64 #s(literal -1/2 binary64) z)>
#<alt (*.f64 #s(literal -1/2 binary64) z)>
#<alt (*.f64 #s(literal -1/2 binary64) z)>
#<alt (*.f64 #s(literal -1/2 binary64) z)>
#<alt (*.f64 #s(literal -1/2 binary64) z)>
#<alt (*.f64 #s(literal -1/2 binary64) z)>
#<alt (*.f64 #s(literal -1/2 binary64) z)>
#<alt (*.f64 #s(literal -1/2 binary64) z)>
#<alt (*.f64 #s(literal -1/2 binary64) z)>
#<alt (*.f64 #s(literal -1/2 binary64) z)>
#<alt t>
#<alt (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))>
#<alt (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))>
#<alt (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 t y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 t y)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 t y)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 t y)) (.f64 #s(literal 1/2 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 t y)) (.f64 #s(literal 1/2 binary64) z))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 t y)) (.f64 #s(literal 1/2 binary64) z))))>
#<alt t>
#<alt (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))>
#<alt (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))>
#<alt (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 t z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 t z)))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 t z)))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 t z)) (.f64 #s(literal 1/2 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 t z)) (.f64 #s(literal 1/2 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 t z)) (.f64 #s(literal 1/2 binary64) y))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 y z))>
#<alt (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))>
#<alt (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))>
#<alt (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))>
#<alt t>
#<alt (.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) t))))>
#<alt (.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) t))))>
#<alt (.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) t))))>
#<alt t>
#<alt (.f64 #s(literal -1 binary64) (.f64 t (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) t)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 t (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) t)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 t (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) t)) #s(literal 1 binary64))))>

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* y (* z -1/2))
0.0ms	z	@	0	(* y (* z -1/2))
0.0ms	t	@	0	(+ (* y (* z -1/2)) t)
0.0ms	y	@	-inf	(+ (* y (* z -1/2)) t)
0.0ms	z	@	0	(* z -1/2)

rewrite118.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`log1p-expm1-u`
1058×	`expm1-log1p-u`
479×	`fma-define`
243×	`fma-neg`
188×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	212	68
2	2899	68

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

Inputs
(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
(.f64 y (.f64 z #s(literal -1/2 binary64)))
(*.f64 z #s(literal -1/2 binary64))
(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) t)

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/8 binary64) x t))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) t)) (/.f64 (pow.f64 t #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) t)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x t))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)) (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 t #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) t) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 t #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal 1/8 binary64) (*.f64 x t)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 t #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/8 binary64) x) t))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 t #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) t)))
(/.f64 (-.f64 (pow.f64 t #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (-.f64 t (.f64 #s(literal 1/8 binary64) x)))
(pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/8 binary64) x t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/8 binary64) x t))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/8 binary64) x t)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/8 binary64) x t)))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/8 binary64) x t)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/8 binary64) x t)
(fma.f64 x #s(literal 1/8 binary64) t)
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64) t)
(fma.f64 t #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) x) t)
(fma.f64 #s(literal 1 binary64) t (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/8 binary64) x)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) t)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (.f64 #s(literal 1/8 binary64) x)) t)
(fma.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (cbrt.f64 t) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/8 binary64)) t)
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) t)
(fma.f64 (sqrt.f64 t) (sqrt.f64 t) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/8 binary64)) t)
(fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) t)
(fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) t)
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))) (/.f64 (pow.f64 t #s(literal 2 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))))
(.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
(.f64 (cbrt.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(.f64 (sqrt.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) (sqrt.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t (-.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64)))) (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (-.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64)))) (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t)) (-.f64 (pow.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (-.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64)))) (pow.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (neg.f64 t)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t (-.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64)))) (pow.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (neg.f64 t))))
(/.f64 (-.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) #s(literal 1 binary64)))
(fma.f64 t #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
(fma.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64) t)
(fma.f64 #s(literal 1 binary64) t (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64)) t)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) t)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 z #s(literal -1/2 binary64))) y) t)
(fma.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (cbrt.f64 t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 (sqrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) t)
(fma.f64 (sqrt.f64 (.f64 z #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (*.f64 z #s(literal -1/2 binary64))) y) t)
(fma.f64 (sqrt.f64 t) (sqrt.f64 t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) t)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 (.f64 y (sqrt.f64 (.f64 z #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) t)
(fma.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y) t)

simplify143.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

634×	`times-frac`
589×	`fma-define`
339×	`*-commutative`
277×	`div-sub`
261×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	5797
1	711	5713
2	2005	5587
3	7208	5587

Stop Event

1×	node limit

Counts

220 → 170

Calls

Call 1

Inputs
t
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 t x)))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 t x)))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 t x)))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal 1/8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/8 binary64) x)
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
t
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))))
t
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x t)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x t)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x t)) #s(literal 1 binary64))))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 #s(literal -1/2 binary64) z)
t
(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 t y)))
(.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 t y)))
(.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 t y)))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 t y)) (.f64 #s(literal 1/2 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 t y)) (.f64 #s(literal 1/2 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 t y)) (.f64 #s(literal 1/2 binary64) z))))
t
(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 t z)))
(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 t z)))
(.f64 z (+.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 t z)))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 t z)) (.f64 #s(literal 1/2 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 t z)) (.f64 #s(literal 1/2 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 t z)) (.f64 #s(literal 1/2 binary64) y))))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
t
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) t))))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) t))))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y z) t))))
t
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) t)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) t)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y z) t)) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/8 binary64) x t))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) t)) (/.f64 (pow.f64 t #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) t)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) x t))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)) (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 t #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) x) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) t) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 t #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal 1/8 binary64) (*.f64 x t)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 t #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/8 binary64) x) t))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t (-.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 t #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) t)))
(/.f64 (-.f64 (pow.f64 t #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (-.f64 t (.f64 #s(literal 1/8 binary64) x)))
(pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/8 binary64) x t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/8 binary64) x t))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) x t) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/8 binary64) x t)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/8 binary64) x t)))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/8 binary64) x t)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/8 binary64) x t)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/8 binary64) x t)
(fma.f64 x #s(literal 1/8 binary64) t)
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64) t)
(fma.f64 t #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) x) t)
(fma.f64 #s(literal 1 binary64) t (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (cbrt.f64 (.f64 #s(literal 1/8 binary64) x)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) t)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (.f64 #s(literal 1/8 binary64) x)) t)
(fma.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (cbrt.f64 t) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/8 binary64)) t)
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) (sqrt.f64 (.f64 #s(literal 1/8 binary64) x)) t)
(fma.f64 (sqrt.f64 t) (sqrt.f64 t) (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/8 binary64)) t)
(fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) t)
(fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) t)
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 z) #s(literal -1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))) (/.f64 (pow.f64 t #s(literal 2 binary64)) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))))
(.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t))
(.f64 (cbrt.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(.f64 (sqrt.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) (sqrt.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t (-.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64)))) (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (-.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64)))) (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) (neg.f64 t)) (-.f64 (pow.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (-.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64)))) (pow.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (neg.f64 t)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t (-.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64)))) (pow.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (neg.f64 t))))
(/.f64 (-.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))))
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) #s(literal 1 binary64)))
(fma.f64 t #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
(fma.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64) t)
(fma.f64 #s(literal 1 binary64) t (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64)) t)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) t)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 z #s(literal -1/2 binary64))) y) t)
(fma.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (cbrt.f64 t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 (sqrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) t)
(fma.f64 (sqrt.f64 (.f64 z #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (*.f64 z #s(literal -1/2 binary64))) y) t)
(fma.f64 (sqrt.f64 t) (sqrt.f64 t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) t)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 (.f64 y (sqrt.f64 (.f64 z #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) t)
(fma.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y) t)

Outputs
t
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x t)
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 t x)))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 t x)))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 t x)))
(*.f64 #s(literal 1/8 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal 1/8 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 t x) #s(literal -1/8 binary64))))
(*.f64 x (neg.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1/8 binary64))))
(*.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 t x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal 1/8 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 t x) #s(literal -1/8 binary64))))
(*.f64 x (neg.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1/8 binary64))))
(*.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 t x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 t x)) #s(literal 1/8 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 t x) #s(literal -1/8 binary64))))
(*.f64 x (neg.f64 (fma.f64 (/.f64 t x) #s(literal -1 binary64) #s(literal -1/8 binary64))))
(*.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 t x)) (neg.f64 x))
(*.f64 #s(literal 1/8 binary64) x)
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x t)
(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
(fma.f64 #s(literal 1/8 binary64) x t)
t
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))))
(*.f64 t (fma.f64 #s(literal 1/8 binary64) (/.f64 x t) #s(literal 1 binary64)))
(*.f64 t (fma.f64 x (/.f64 #s(literal 1/8 binary64) t) #s(literal 1 binary64)))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))))
(*.f64 t (fma.f64 #s(literal 1/8 binary64) (/.f64 x t) #s(literal 1 binary64)))
(*.f64 t (fma.f64 x (/.f64 #s(literal 1/8 binary64) t) #s(literal 1 binary64)))
(.f64 t (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 x t))))
(*.f64 t (fma.f64 #s(literal 1/8 binary64) (/.f64 x t) #s(literal 1 binary64)))
(*.f64 t (fma.f64 x (/.f64 #s(literal 1/8 binary64) t) #s(literal 1 binary64)))
t
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x t)) #s(literal 1 binary64))))
(*.f64 (neg.f64 t) (fma.f64 #s(literal -1/8 binary64) (/.f64 x t) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x t) #s(literal -1/8 binary64) #s(literal -1 binary64)) (neg.f64 t))
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x t)) #s(literal 1 binary64))))
(*.f64 (neg.f64 t) (fma.f64 #s(literal -1/8 binary64) (/.f64 x t) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x t) #s(literal -1/8 binary64) #s(literal -1 binary64)) (neg.f64 t))
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x t)) #s(literal 1 binary64))))
(*.f64 (neg.f64 t) (fma.f64 #s(literal -1/8 binary64) (/.f64 x t) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x t) #s(literal -1/8 binary64) #s(literal -1 binary64)) (neg.f64 t))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -1/2 binary64) z))
(.f64 z (.f64 #s(literal -1/2 binary64) y))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -1/2 binary64) z))
(.f64 z (.f64 #s(literal -1/2 binary64) y))
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 y (.f64 #s(literal -1/2 binary64) z))
(.f64 z (.f64 #s(literal -1/2 binary64) y))
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(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (fma.f64 z (.f64 y #s(literal 1/2 binary64)) t) (pow.f64 (.f64 z (.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (neg.f64 t)))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 #s(literal -1/2 binary64) z)) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal -1/2 binary64) z) (neg.f64 t)))
(/.f64 (-.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (fma.f64 z (*.f64 y #s(literal 1/2 binary64)) t))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t (-.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64)))) (pow.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t (-.f64 t (.f64 y (.f64 #s(literal -1/2 binary64) z))) (pow.f64 (.f64 y (.f64 #s(literal -1/2 binary64) z)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (+.f64 t (.f64 y (.f64 z #s(literal 1/2 binary64)))) (pow.f64 (.f64 y (*.f64 #s(literal -1/2 binary64) z)) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (fma.f64 z (.f64 y #s(literal 1/2 binary64)) t) (pow.f64 (.f64 z (.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64)))) (neg.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (neg.f64 t))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 #s(literal -1/2 binary64) z)) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal -1/2 binary64) z) (neg.f64 t)))
(/.f64 (-.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (fma.f64 z (*.f64 y #s(literal 1/2 binary64)) t))
(/.f64 (-.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 t (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (.f64 #s(literal -1/2 binary64) z)) #s(literal 2 binary64)) (pow.f64 t #s(literal 2 binary64))) (fma.f64 y (*.f64 #s(literal -1/2 binary64) z) (neg.f64 t)))
(/.f64 (-.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (.f64 z (.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (fma.f64 z (*.f64 y #s(literal 1/2 binary64)) t))
(pow.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(pow.f64 (cbrt.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #s(literal 3 binary64))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(pow.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(pow.f64 (sqrt.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)) #s(literal 2 binary64))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #s(literal 2 binary64)))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(log.f64 (exp.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(cbrt.f64 (pow.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t) #s(literal 3 binary64)))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(expm1.f64 (log1p.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(log1p.f64 (expm1.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(exp.f64 (log.f64 (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(exp.f64 (.f64 (log.f64 (fma.f64 y (.f64 z #s(literal -1/2 binary64)) t)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 t #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 #s(literal 1 binary64) t (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 #s(literal 1 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64)) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 z #s(literal -1/2 binary64))) y) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (cbrt.f64 t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (sqrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (sqrt.f64 (.f64 z #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (*.f64 z #s(literal -1/2 binary64))) y) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (sqrt.f64 t) (sqrt.f64 t) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (*.f64 y z) #s(literal -1/2 binary64) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (.f64 y (sqrt.f64 (.f64 z #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 z #s(literal -1/2 binary64))) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (.f64 (.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) (sqrt.f64 y) t)
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)

eval23.0ms (0.5%)

Compiler: Compiled 2053 to 471 computations (77.1% saved)

prune29.0ms (0.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	182	5	187

Accuracy

100.0%

Counts

187 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
✓	70.4%	(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) t)
✓	63.5%	(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
▶	31.3%	(*.f64 #s(literal 1/8 binary64) x)
✓	34.4%	t

Compiler

Compiled 47 to 36 computations (23.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 #s(literal 1/8 binary64) x)

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	8	15

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x

Outputs
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x

localize16.0ms (0.3%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)

Results

11.0ms

256×

valid

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (84.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval3.0ms (0.1%)

Compiler: Compiled 81 to 39 computations (51.9% saved)

prune5.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	13	5	18

Accuracy

100.0%

Counts

18 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
✓	70.4%	(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) t)
✓	63.5%	(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
✓	31.3%	(*.f64 #s(literal 1/8 binary64) x)
✓	34.4%	t

Compiler

Compiled 91 to 60 computations (34.1% saved)

regimes26.0ms (0.6%)

Counts

6 → 1

Calls

Call 1

Inputs
t
(*.f64 #s(literal 1/8 binary64) x)
(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) t)
(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Outputs
(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)

Calls

9 calls:

3.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))
3.0ms	t
3.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	1	`(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)`
100.0%	1	`(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))`
100.0%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)`
100.0%	1	`(/.f64 (*.f64 y z) #s(literal 2 binary64))`
100.0%	1	`(*.f64 y z)`

Compiler

Compiled 77 to 61 computations (20.8% saved)

regimes9.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
t
(*.f64 #s(literal 1/8 binary64) x)
(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) t)

Outputs
(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
(+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) t)
(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)

Calls

4 calls:

2.0ms	t
2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
85.9%	3	`x`
83.2%	3	`y`
84.6%	3	`z`
74.5%	3	`t`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes10.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
t
(*.f64 #s(literal 1/8 binary64) x)
(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)

Outputs
(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)

Calls

4 calls:

4.0ms	y
2.0ms	t
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
63.5%	1	`t`
63.5%	1	`y`
63.5%	1	`z`
63.5%	1	`x`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes7.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
t
(*.f64 #s(literal 1/8 binary64) x)

Outputs
t
(*.f64 #s(literal 1/8 binary64) x)
t

Calls

4 calls:

2.0ms	t
2.0ms	z
2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
52.4%	3	`x`
40.2%	4	`y`
53.5%	3	`t`
40.6%	3	`z`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes51.0ms (1.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
t

Outputs
t

Calls

4 calls:

46.0ms	y
1.0ms	t
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
34.4%	1	`y`
34.4%	1	`z`
34.4%	1	`x`
34.4%	1	`t`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch24.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.6907566663110034e-11	1.493971663447258e-6
5.0ms	-7.307499074449328e+177	-5.65946735367183e+177

Results

16.0ms

176×

valid

Compiler

Compiled 266 to 206 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 5.0ms (53.9% of total)

ival-mult: 2.0ms (21.6% of total)

ival-sub: 1.0ms (10.8% of total)

ival-add: 1.0ms (10.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	154619274.17226785	667401820.3206241
16.0ms	-1.0248840004542276e+20	-38495604287869790.0

Results

18.0ms

224×

valid

Compiler

Compiled 220 to 187 computations (15% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 3.0ms (32.3% of total)

ival-mult: 3.0ms (32.3% of total)

ival-sub: 1.0ms (10.8% of total)

ival-add: 1.0ms (10.8% of total)

const: 1.0ms (10.8% of total)

backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative`
9×	`+-commutative`
6×	`sub-neg`
5×	`neg-sub0`
5×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	186
1	59	186
2	71	186
3	81	186
4	89	186
5	94	186
6	96	186

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(if (<=.f64 x #s(literal -6199999999999999821237989385700964186413443234916461065144927841042535430262681563043184199943830246180452430942721949463052158087375837574748226520205696339572782120376530370560 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) x) t) (if (<=.f64 x #s(literal 6375194751874021/4722366482869645213696 binary64)) (+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) t) (+.f64 (.f64 #s(literal 1/8 binary64) x) t)))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
(if (<=.f64 t #s(literal -13600000000000000000 binary64)) t (if (<=.f64 t #s(literal 265000000 binary64)) (*.f64 #s(literal 1/8 binary64) x) t))
t

Outputs
(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(if (<=.f64 x #s(literal -6199999999999999821237989385700964186413443234916461065144927841042535430262681563043184199943830246180452430942721949463052158087375837574748226520205696339572782120376530370560 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) x) t) (if (<=.f64 x #s(literal 6375194751874021/4722366482869645213696 binary64)) (+.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) t) (+.f64 (.f64 #s(literal 1/8 binary64) x) t)))
(if (or (<=.f64 x #s(literal -6199999999999999821237989385700964186413443234916461065144927841042535430262681563043184199943830246180452430942721949463052158087375837574748226520205696339572782120376530370560 binary64)) (not (<=.f64 x #s(literal 6375194751874021/4722366482869645213696 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) x) t) (+.f64 t (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
(if (<=.f64 t #s(literal -13600000000000000000 binary64)) t (if (<=.f64 t #s(literal 265000000 binary64)) (*.f64 #s(literal 1/8 binary64) x) t))
t

soundness676.0ms (14.6%)

Rules

1797×	`fma-neg`
718×	`fma-neg`
616×	`distribute-lft-in`
591×	`fma-define`
384×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	728
1	186	652
2	475	576
3	1308	576
4	3205	576
5	3979	576
6	4179	576
7	4202	576
8	4211	576
9	4211	576
10	4213	576
11	5624	576
12	5624	576
13	5624	576
0	623	16930
1	1414	16027
2	3977	15760

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 169 to 73 computations (56.8% saved)

preprocess47.0ms (1%)

Remove: (sort y z)
Compiler: Compiled 294 to 194 computations (34% saved)

Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, B

analyze0.0ms (0%)

sample1.5s (32.2%)

preprocess340.0ms (7.3%)

explain308.0ms (6.7%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify46.0ms (1%)

localize37.0ms (0.8%)

series19.0ms (0.4%)

rewrite533.0ms (11.5%)

simplify265.0ms (5.7%)

eval77.0ms (1.7%)

prune223.0ms (4.8%)

simplify9.0ms (0.2%)

localize41.0ms (0.9%)

series7.0ms (0.2%)

rewrite118.0ms (2.5%)

simplify143.0ms (3.1%)

eval23.0ms (0.5%)

prune29.0ms (0.6%)

simplify7.0ms (0.1%)

localize16.0ms (0.3%)

eval3.0ms (0.1%)

prune5.0ms (0.1%)

regimes26.0ms (0.6%)

regimes9.0ms (0.2%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes51.0ms (1.1%)

bsearch24.0ms (0.5%)

bsearch30.0ms (0.6%)

simplify9.0ms (0.2%)

soundness676.0ms (14.6%)

preprocess47.0ms (1%)

end0.0ms (0%)

Profiling