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 15 to 15 computations (0% saved)

sample968.0ms (16.3%)

Results

651.0ms	8255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 375.0ms

ival-div: 123.0ms (32.8% of total)

ival-mult: 122.0ms (32.5% of total)

ival-sub: 66.0ms (17.6% of total)

ival-add: 44.0ms (11.7% of total)

...in/eval/compile.rkt:70:19: 8.0ms (2.1% of total)

ival-true: 7.0ms (1.9% of total)

ival-assert: 5.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess350.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1797×	`fmm-def`
591×	`fma-define`
296×	`sub-neg`
174×	`associate-+l-`
171×	`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	3973	576
6	4161	576
7	4184	576
8	4193	576
9	4193	576
10	4195	576
11	5606	576
12	5606	576
13	5606	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))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x 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))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x 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))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x 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)

explain159.0ms (2.7%)

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Results

52.0ms

512×

valid

Compiler

Compiled 132 to 56 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 7.0ms (35.8% of total)

ival-mult: 7.0ms (35.8% of total)

ival-sub: 2.0ms (10.2% of total)

ival-add: 2.0ms (10.2% of total)

ival-true: 1.0ms (5.1% of total)

...in/eval/compile.rkt:70:19: 1.0ms (5.1% of total)

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

eval1.0ms (0%)

Compiler: Compiled 43 to 22 computations (48.8% 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)

simplify44.0ms (0.7%)

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×	`fmm-def`
79×	`cancel-sign-sub-inv`
59×	`distribute-lft-neg-in`
51×	`sub-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

localize34.0ms (0.6%)

Localize:

Found 4 expressions of interest:

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

Results

24.0ms

256×

valid

Compiler

Compiled 39 to 13 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (50.1% of total)

ival-div: 2.0ms (20% of total)

ival-sub: 1.0ms (10% of total)

ival-add: 1.0ms (10% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series19.0ms (0.3%)

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
6.0ms	x	@	inf	(- (* 1/8 x) (* y (/ z 2)))
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))

rewrite370.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log1p-expm1-u`
782×	`expm1-log1p-u`
762×	`fma-define`
369×	`fmm-def`
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)) (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))

simplify319.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

729×	`fmm-def`
616×	`distribute-lft-in`
386×	`distribute-lft-neg-in`
376×	`distribute-rgt-neg-in`
196×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	623	16930
1	1435	16027
2	4016	15760

Stop Event

1×	node limit

Counts

429 → 413

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))

eval94.0ms (1.6%)

Compiler: Compiled 8657 to 1191 computations (86.2% saved)

prune194.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	410	3	413
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	410	4	414

Accuracy

100.0%

Counts

414 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.6%	(-.f64 t (.f64 #s(literal 1/2 binary64) (.f64 y z)))
✓	100.0%	(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
▶	62.0%	(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
▶	35.4%	t

Compiler

Compiled 40 to 30 computations (25% saved)

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

323×	`fma-define`
167×	`fmm-def`
61×	`cancel-sign-sub-inv`
58×	`distribute-lft-neg-in`
36×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	111
1	33	111
2	60	107
3	118	107
4	163	107
5	217	107
6	313	107
7	398	107
8	520	107
9	755	107
10	963	107
11	1028	107
12	1055	107
13	1065	107

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 t (.f64 #s(literal 1/2 binary64) (.f64 y z)))
t
(.f64 #s(literal 1/2 binary64) (.f64 y z))
#s(literal 1/2 binary64)
(*.f64 y z)
y
z

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

localize37.0ms (0.6%)

Localize:

Found 5 expressions of interest:

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

Results

26.0ms

256×

valid

Compiler

Compiled 33 to 13 computations (60.6% saved)

Precisions

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

ival-mult: 5.0ms (53.1% of total)

ival-add: 3.0ms (31.9% of total)

ival-sub: 1.0ms (10.6% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series69.0ms (1.2%)

Counts

4 → 57

Calls

Call 1

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

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 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))))>
#<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 t y) (.f64 #s(literal 1/2 binary64) z)))>
#<alt (.f64 y (-.f64 (/.f64 t y) (.f64 #s(literal 1/2 binary64) z)))>
#<alt (.f64 y (-.f64 (/.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 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 t z) (.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 z (-.f64 (/.f64 t z) (.f64 #s(literal 1/2 binary64) y)))>
#<alt (.f64 z (-.f64 (/.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 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))))>

Calls

27 calls:

Time	Variable		Point	Expression
64.0ms	y	@	0	(* y z)
0.0ms	z	@	-inf	(* y z)
0.0ms	y	@	-inf	(* y z)
0.0ms	y	@	-inf	(- t (* 1/2 (* y z)))
0.0ms	t	@	inf	(- t (* 1/2 (* y z)))

rewrite168.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1091×	`log1p-expm1-u`
1091×	`expm1-log1p-u`
442×	`fma-define`
195×	`fmm-def`
190×	`expm1-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	75
1	216	75
2	2980	71

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

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

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

simplify117.0ms (2%)

Algorithm

1×	egg-herbie

Rules

734×	`times-frac`
588×	`fma-define`
404×	`associate-/l*`
298×	`cancel-sign-sub-inv`
268×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	6825
1	819	6606
2	2255	6345

Stop Event

1×	node limit

Counts

225 → 216

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

eval32.0ms (0.5%)

Compiler: Compiled 3213 to 531 computations (83.5% saved)

prune187.0ms (3.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	226	3	229
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	226	7	233

Accuracy

100.0%

Counts

233 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.6%	(-.f64 t (.f64 #s(literal 1/2 binary64) (.f64 y z)))
✓	100.0%	(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
✓	62.0%	(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
▶	39.2%	(.f64 z (.f64 #s(literal -1/2 binary64) y))
▶	62.1%	(.f64 y (-.f64 (/.f64 t y) (.f64 #s(literal 1/2 binary64) z)))
▶	28.6%	(*.f64 #s(literal 1/8 binary64) x)
✓	35.4%	t

Compiler

Compiled 69 to 52 computations (24.6% saved)

simplify275.0ms (4.6%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
✓	cost-diff	0	(.f64 z (.f64 #s(literal -1/2 binary64) y))
✓	cost-diff	-6272	(-.f64 (/.f64 t y) (*.f64 #s(literal 1/2 binary64) z))
✓	cost-diff	-6144	(.f64 y (-.f64 (/.f64 t y) (.f64 #s(literal 1/2 binary64) z)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) z)
✓	cost-diff	0	(/.f64 t y)
	cost-diff	0	(*.f64 #s(literal 1/8 binary64) x)

Rules

1591×	`fma-define`
693×	`associate-/l/`
686×	`fmm-def`
307×	`associate-/r*`
251×	`distribute-rgt-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	154
1	34	154
2	54	146
3	94	146
4	159	143
5	229	137
6	379	137
7	604	137
8	1541	137
9	3001	137
10	3751	137
11	4160	137
12	4355	137
13	4417	137
14	4733	137
15	5813	137
16	6780	137
17	7490	137
18	7748	137
19	7864	137

Stop Event

1×	node limit

Calls

Call 1

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

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

localize48.0ms (0.8%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 z (.f64 #s(literal -1/2 binary64) y))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) y)
✓	accuracy	100.0%	(/.f64 t y)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) z)
✓	accuracy	100.0%	(-.f64 (/.f64 t y) (*.f64 #s(literal 1/2 binary64) z))
✓	accuracy	87.9%	(.f64 y (-.f64 (/.f64 t y) (.f64 #s(literal 1/2 binary64) z)))
	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)

Results

31.0ms

256×

valid

Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (69.5% of total)

ival-div: 2.0ms (17.4% of total)

ival-sub: 1.0ms (8.7% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Counts

6 → 87

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(* -1/2 y)
2.0ms	t	@	inf	(/ t y)
1.0ms	y	@	-inf	(* y (- (/ t y) (* 1/2 z)))
0.0ms	z	@	inf	(* y (- (/ t y) (* 1/2 z)))
0.0ms	t	@	-inf	(* y (- (/ t y) (* 1/2 z)))

rewrite152.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`log1p-expm1-u`
660×	`expm1-log1p-u`
600×	`log-prod`
287×	`fma-define`
194×	`pow-to-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	117
1	210	117
2	2902	109

Stop Event

1×	node limit

Counts

6 → 263

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 t y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 t y))) (cbrt.f64 (exp.f64 (/.f64 t y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 t y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 t y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 t y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 t y))) #s(literal 1 binary64))
(*.f64 t (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 t y) #s(literal 1 binary64))
(*.f64 (/.f64 t y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 t y))
(*.f64 (cbrt.f64 (/.f64 t y)) (pow.f64 (cbrt.f64 (/.f64 t y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 t y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 t y)))
(*.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (/.f64 (cbrt.f64 t) y))
(.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (.f64 (cbrt.f64 t) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (/.f64 t y)))
(*.f64 (sqrt.f64 t) (/.f64 (sqrt.f64 t) y))
(.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) t)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 t) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 t y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 t) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (sqrt.f64 t) y))
(*.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 t) (cbrt.f64 y)))
(pow.f64 (/.f64 t y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 t y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 t y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 t y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y t) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 t (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 t) y))
(sqrt.f64 (pow.f64 (/.f64 t y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 t y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 t y))))
(cbrt.f64 (pow.f64 (/.f64 t y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 t y)))
(log1p.f64 (expm1.f64 (/.f64 t y)))
(exp.f64 (log.f64 (/.f64 t y)))
(exp.f64 (*.f64 (log.f64 (/.f64 t y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 t y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 t y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y t)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) z)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) z)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) z))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) z)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) z)) #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 #s(literal 1/2 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) z))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) z)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) z)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))))
(+.f64 (.f64 y (/.f64 t y)) (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(+.f64 (.f64 (/.f64 t y) y) (.f64 y (*.f64 z #s(literal -1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y)))) (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))))) #s(literal 1 binary64))
(/.f64 (.f64 y (-.f64 (pow.f64 (/.f64 t y) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y)) (pow.f64 (/.f64 t y) #s(literal 2 binary64))))
(/.f64 (.f64 y (-.f64 (pow.f64 (/.f64 t y) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64))) y) (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y)) (pow.f64 (/.f64 t y) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) y) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y)))
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(fma.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) y)) (.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y)) (pow.f64 (/.f64 t y) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y)) (pow.f64 (/.f64 t y) #s(literal 2 binary64)))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y)) (pow.f64 (/.f64 t y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) z))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) t (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) t (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y))) (fma.f64 #s(literal -1/2 binary64) z (.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) z))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (neg.f64 z) #s(literal 1/2 binary64) (/.f64 t y))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z)) (/.f64 t y))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) z) (/.f64 t y))
(fma.f64 (.f64 (cbrt.f64 (.f64 z #s(literal -1/2 binary64))) (cbrt.f64 (.f64 z #s(literal -1/2 binary64)))) (cbrt.f64 (.f64 z #s(literal -1/2 binary64))) (/.f64 t y))
(fma.f64 (sqrt.f64 (.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (.f64 z #s(literal -1/2 binary64))) (/.f64 t y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 y)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 y)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 t) y) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 t) y) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 t y)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 t y)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 t) (sqrt.f64 y)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 t) (sqrt.f64 y)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (sqrt.f64 t) y) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (sqrt.f64 t) y) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 t) (cbrt.f64 y)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 t) (cbrt.f64 y)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (-.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (-.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (-.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) z))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) z)) (/.f64 t y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (/.f64 t y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 t y))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y) z))))
(-.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 #s(literal -1/2 binary64)) y) z))
(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)))
(cbrt.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 z #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)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64)))

simplify251.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

870×	`times-frac`
244×	`prod-exp`
243×	`cancel-sign-sub-inv`
228×	`distribute-lft-neg-in`
222×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	575	10961
1	1186	10579
2	3329	10303

Stop Event

1×	node limit

Counts

350 → 351

Calls

Call 1

Inputs
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))))
(.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))))
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) z)
(/.f64 t y)
(.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z t)) (/.f64 #s(literal 1 binary64) y)))
(.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z t)) (/.f64 #s(literal 1 binary64) y)))
(.f64 t (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 z t)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 t y)
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z t)) (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z t)) (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 t (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z t)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 t y)
(/.f64 (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z))) y)
(/.f64 (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z))) y)
(/.f64 (+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z))) y)
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 #s(literal -1/2 binary64) z)
(/.f64 t y)
(+.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 t y))
(+.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 t y))
(+.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 t y))
(*.f64 #s(literal -1/2 binary64) z)
(.f64 z (-.f64 (/.f64 t (.f64 y z)) #s(literal 1/2 binary64)))
(.f64 z (-.f64 (/.f64 t (.f64 y z)) #s(literal 1/2 binary64)))
(.f64 z (-.f64 (/.f64 t (.f64 y z)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 t (.f64 y z))))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 t (.f64 y z))))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 t (.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) (.f64 y z))
(+.f64 #s(literal 0 binary64) (/.f64 t y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 t y))) (cbrt.f64 (exp.f64 (/.f64 t y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 t y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 t y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 t y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 t y))) #s(literal 1 binary64))
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(fma.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) z))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 #s(literal -1/2 binary64) z (/.f64 t y))
(fma.f64 #s(literal 1 binary64) (/.f64 t y) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 t y) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y)) (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) z)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) z))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/2 binary64)) (/.f64 t y))
(fma.f64 (cbrt.f64 (/.f64 t y)) (pow.f64 (cbrt.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (/.f64 t y)) (pow.f64 (cbrt.f64 (/.f64 t y)) #s(literal 2 binary64)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 t y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 t y)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 t y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 t y)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (cbrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (cbrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) z))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) z))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) z))) (/.f64 t y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal -1/2 binary64)) (/.f64 t y))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (/.f64 (cbrt.f64 t) y) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (/.f64 (cbrt.f64 t) y) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (.f64 (cbrt.f64 t) (/.f64 #s(literal 1 binary64) y)) (.f64 z #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (.f64 (cbrt.f64 t) (/.f64 #s(literal 1 binary64) y)) (.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (/.f64 t y)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (/.f64 t y)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) (sqrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (sqrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) (sqrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (sqrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) (sqrt.f64 (fma.f64 z #s(literal -1/2 binary64) (/.f64 t y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) z))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) z)) (neg.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (/.f64 t y))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (/.f64 t y))
(fma.f64 (sqrt.f64 t) (/.f64 (sqrt.f64 t) y) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 t) (/.f64 (sqrt.f64 t) y) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) y)) (.f64 z #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) y)) (.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y)) (pow.f64 (/.f64 t y) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y)) (pow.f64 (/.f64 t y) #s(literal 2 binary64)))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 3 binary64)) (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) z) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y)) (pow.f64 (/.f64 t y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) z))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) t (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) t (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y))) (fma.f64 #s(literal -1/2 binary64) z (.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (-.f64 (pow.f64 (/.f64 t y) #s(literal 2 binary64)) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) z (/.f64 t y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) z))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (neg.f64 z) #s(literal 1/2 binary64) (/.f64 t y))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z)) (/.f64 t y))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) z) (/.f64 t y))
(fma.f64 (.f64 (cbrt.f64 (.f64 z #s(literal -1/2 binary64))) (cbrt.f64 (.f64 z #s(literal -1/2 binary64)))) (cbrt.f64 (.f64 z #s(literal -1/2 binary64))) (/.f64 t y))
(fma.f64 (sqrt.f64 (.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (.f64 z #s(literal -1/2 binary64))) (/.f64 t y))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 y)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 t (cbrt.f64 y)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 t (sqrt.f64 y)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 t) y) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 t) y) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 t y)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 t y)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 t) (sqrt.f64 y)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 t) (sqrt.f64 y)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (sqrt.f64 t) y) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (sqrt.f64 t) y) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 t) (cbrt.f64 y)) (*.f64 z #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 t) (cbrt.f64 y)) (.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (-.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (-.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (fma.f64 (.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (-.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) z))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) z)) (/.f64 t y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (/.f64 t y))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 t y))
(+.f64 #s(literal 0 binary64) (.f64 y (.f64 z #s(literal -1/2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y) z))))
(-.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 #s(literal -1/2 binary64)) y) z))
(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)))
(cbrt.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 z #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)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64)))

Outputs
t
(+.f64 t (.f64 #s(literal -1/2 binary64) (.f64 y z)))
(+.f64 t (.f64 y (.f64 #s(literal -1/2 binary64) z)))
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) t)
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(fma.f64 #s(literal -1/2 binary64) z (/.f64 t y))
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(fma.f64 (+.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (-.f64 (sqrt.f64 (/.f64 t y)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) z))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) z))) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) z)))
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(fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) z)) (/.f64 t y))
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(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal -1/2 binary64) z))) (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal -1/2 binary64) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal -1/2 binary64) z)))))
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(.f64 y (.f64 #s(literal -1/2 binary64) z))
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(.f64 y (.f64 #s(literal -1/2 binary64) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))))))
(.f64 y (.f64 #s(literal -1/2 binary64) z))
(cbrt.f64 (pow.f64 (.f64 y (.f64 z #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(.f64 y (.f64 #s(literal -1/2 binary64) z))
(cbrt.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(.f64 y (.f64 #s(literal -1/2 binary64) z))
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(.f64 y (.f64 #s(literal -1/2 binary64) z))
(expm1.f64 (log1p.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(.f64 y (.f64 #s(literal -1/2 binary64) z))
(log1p.f64 (expm1.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(.f64 y (.f64 #s(literal -1/2 binary64) z))
(exp.f64 (log.f64 (.f64 y (.f64 z #s(literal -1/2 binary64)))))
(.f64 y (.f64 #s(literal -1/2 binary64) z))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(.f64 y (.f64 #s(literal -1/2 binary64) z))
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(.f64 y (.f64 #s(literal -1/2 binary64) z))
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(.f64 y (.f64 #s(literal -1/2 binary64) z))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 z #s(literal -1/2 binary64))))) #s(literal 2 binary64)))
(.f64 y (.f64 #s(literal -1/2 binary64) z))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y)) (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1/2 binary64)))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(pow.f64 (cbrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(pow.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) y))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))
(*.f64 #s(literal -1/2 binary64) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1/2 binary64) y)
(cbrt.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(expm1.f64 (log1p.f64 (*.f64 y #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) y)
(log1p.f64 (expm1.f64 (*.f64 y #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) y)
(exp.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) y)
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)

eval49.0ms (0.8%)

Compiler: Compiled 5603 to 1088 computations (80.6% saved)

prune102.0ms (1.7%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	363	1	364
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	363	8	371

Accuracy

100.0%

Counts

371 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.6%	(-.f64 t (.f64 #s(literal 1/2 binary64) (.f64 y z)))
✓	100.0%	(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
✓	62.0%	(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
✓	39.2%	(.f64 z (.f64 #s(literal -1/2 binary64) y))
▶	24.9%	(*.f64 y (/.f64 t y))
✓	62.1%	(.f64 y (-.f64 (/.f64 t y) (.f64 #s(literal 1/2 binary64) z)))
✓	28.6%	(*.f64 #s(literal 1/8 binary64) x)
✓	35.4%	t

Compiler

Compiled 78 to 58 computations (25.6% saved)

simplify376.0ms (6.3%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 t y)
✓	cost-diff	256	(*.f64 y (/.f64 t y))

Rules

1107×	`cube-prod`
981×	`cube-div`
847×	`swap-sqr`
646×	`associate-/r/`
467×	`pow-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	61
1	12	61
2	14	61
3	16	37
4	18	25
5	24	25
6	49	25
7	119	25
8	576	25
9	1666	25
10	2435	25
11	3112	25
12	3790	25
13	4796	25
14	5162	25
15	5274	25
16	5356	25
17	5448	25
18	5549	25
19	6781	25
20	7366	25
21	7490	25
22	7584	25
23	7672	25
24	7759	25
25	7848	25
26	7949	25

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 y (/.f64 t y))
y
(/.f64 t y)
t

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

localize75.0ms (1.3%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 t y)
✓	accuracy	76.7%	(*.f64 y (/.f64 t y))

Results

14.0ms

256×

valid

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (45% of total)

ival-mult: 2.0ms (45% of total)

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

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

series1.0ms (0%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (*.f64 y (/.f64 t y))>

Outputs
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>
#<alt t>

Calls

6 calls:

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

rewrite69.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`unpow-prod-down`
464×	`log1p-expm1-u`
464×	`expm1-log1p-u`
446×	`add-exp-log`
431×	`add-log-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	93	22
2	1243	4

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(*.f64 y (/.f64 t y))

Outputs
(+.f64 #s(literal 0 binary64) t)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 t)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 t))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 t))) (log.f64 (sqrt.f64 (exp.f64 t))))
(-.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))
(/.f64 y (/.f64 y t))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y t)))
(/.f64 (*.f64 y t) y)
(/.f64 (neg.f64 (*.f64 y t)) (neg.f64 y))
(/.f64 (*.f64 y (neg.f64 t)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 t) y) (neg.f64 y))
(/.f64 (/.f64 (*.f64 y t) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 y t) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 y t) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 t #s(literal 1 binary64))
(pow.f64 (cbrt.f64 t) #s(literal 3 binary64))
(pow.f64 (pow.f64 t #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 t) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 t))
(pow.f64 (/.f64 y (*.f64 y t)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 t)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 t)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 t))) (sqrt.f64 (log.f64 t)))
(sqrt.f64 (pow.f64 t #s(literal 2 binary64)))
(log.f64 (exp.f64 t))
(cbrt.f64 (pow.f64 t #s(literal 3 binary64)))
t
(expm1.f64 (log1p.f64 t))
(log1p.f64 (expm1.f64 t))
(exp.f64 (log.f64 t))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 t)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 t)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 t)) #s(literal 2 binary64)))

simplify43.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

484×	`fmm-def`
478×	`distribute-rgt-neg-in`
459×	`distribute-lft-neg-in`
359×	`times-frac`
305×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	341
1	167	341
2	482	341
3	2543	341

Stop Event

1×	node limit

Counts

55 → 33

Calls

Call 1

Inputs
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
(+.f64 #s(literal 0 binary64) t)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 t)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 t))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 t))) (log.f64 (sqrt.f64 (exp.f64 t))))
(-.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))
(/.f64 y (/.f64 y t))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y t)))
(/.f64 (*.f64 y t) y)
(/.f64 (neg.f64 (*.f64 y t)) (neg.f64 y))
(/.f64 (*.f64 y (neg.f64 t)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 t) y) (neg.f64 y))
(/.f64 (/.f64 (*.f64 y t) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 y t) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 y t) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 t #s(literal 1 binary64))
(pow.f64 (cbrt.f64 t) #s(literal 3 binary64))
(pow.f64 (pow.f64 t #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 t) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 t))
(pow.f64 (/.f64 y (*.f64 y t)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 t)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 t)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 t))) (sqrt.f64 (log.f64 t)))
(sqrt.f64 (pow.f64 t #s(literal 2 binary64)))
(log.f64 (exp.f64 t))
(cbrt.f64 (pow.f64 t #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 t))
(log1p.f64 (expm1.f64 t))
(exp.f64 (log.f64 t))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 t)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 t)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 t)) #s(literal 2 binary64)))

Outputs
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
(+.f64 #s(literal 0 binary64) t)
t
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 t)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 t))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 t))) (log.f64 (sqrt.f64 (exp.f64 t))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 t))))
(-.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 1 binary64))
t
(/.f64 y (/.f64 y t))
t
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y t)))
t
(/.f64 (*.f64 y t) y)
t
(/.f64 (neg.f64 (*.f64 y t)) (neg.f64 y))
t
(/.f64 (*.f64 y (neg.f64 t)) (neg.f64 y))
t
(/.f64 (*.f64 (neg.f64 t) y) (neg.f64 y))
t
(/.f64 (/.f64 (*.f64 y t) #s(literal 1 binary64)) y)
t
(/.f64 (/.f64 (*.f64 y t) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
t
(/.f64 (/.f64 (*.f64 y t) (sqrt.f64 y)) (sqrt.f64 y))
t
(pow.f64 t #s(literal 1 binary64))
t
(pow.f64 (cbrt.f64 t) #s(literal 3 binary64))
t
(pow.f64 (pow.f64 t #s(literal 2 binary64)) #s(literal 1/2 binary64))
t
(pow.f64 (pow.f64 t #s(literal 3 binary64)) #s(literal 1/3 binary64))
t
(pow.f64 (sqrt.f64 t) #s(literal 2 binary64))
t
(pow.f64 (E.f64) (log.f64 t))
t
(pow.f64 (/.f64 y (*.f64 y t)) #s(literal -1 binary64))
t
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 t)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 t)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 t))) (sqrt.f64 (log.f64 t)))
(sqrt.f64 (pow.f64 t #s(literal 2 binary64)))
t
(log.f64 (exp.f64 t))
t
(cbrt.f64 (pow.f64 t #s(literal 3 binary64)))
t
(expm1.f64 (log1p.f64 t))
t
(log1p.f64 (expm1.f64 t))
t
(exp.f64 (log.f64 t))
t
(exp.f64 (*.f64 (log.f64 (cbrt.f64 t)) #s(literal 3 binary64)))
t
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 t)) #s(literal 1/3 binary64)))
t
(exp.f64 (*.f64 (log.f64 (sqrt.f64 t)) #s(literal 2 binary64)))
t

eval9.0ms (0.2%)

Compiler: Compiled 702 to 235 computations (66.5% saved)

prune28.0ms (0.5%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	83	8	91

Accuracy

100.0%

Counts

91 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.6%	(-.f64 t (.f64 #s(literal 1/2 binary64) (.f64 y z)))
✓	100.0%	(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
✓	62.0%	(+.f64 (*.f64 #s(literal 1/8 binary64) x) t)
✓	39.2%	(.f64 z (.f64 #s(literal -1/2 binary64) y))
✓	24.9%	(*.f64 y (/.f64 t y))
✓	62.1%	(.f64 y (-.f64 (/.f64 t y) (.f64 #s(literal 1/2 binary64) z)))
✓	28.6%	(*.f64 #s(literal 1/8 binary64) x)
✓	35.4%	t

Compiler

Compiled 141 to 89 computations (36.9% saved)

regimes35.0ms (0.6%)

Counts

9 → 1

Calls

Call 1

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

5.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
5.0ms	z
4.0ms	t
4.0ms	y
3.0ms	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64)))

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)

regimes18.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	t
3.0ms	y
3.0ms	x
3.0ms	z
3.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
86.2%	3	`x`
85.9%	3	`y`
84.8%	3	`z`
72.6%	1	`t`
90.8%	3	`(*.f64 y z)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes8.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
77.7%	3	`z`
77.7%	3	`y`
66.6%	3	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes30.0ms (0.5%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	y
2.0ms	t
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
58.9%	6	`x`
54.7%	3	`t`
57.4%	3	`z`
61.3%	4	`y`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
2.0ms	t
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
49.3%	3	`x`
49.9%	3	`t`
35.4%	1	`z`
37.2%	2	`y`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
t

Outputs
t

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	t

Results

Accuracy	Segments	Branch
35.4%	1	`y`
35.4%	1	`x`
35.4%	1	`t`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.421456978027047e+21	5.394079007605336e+27
0.0ms	-4.287865492121066e+115	-9.808801919295887e+97

Compiler

Compiled 20 to 20 computations (0% saved)

bsearch363.0ms (6.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.418915666238719e-51	1.119876645060439e-47
16.0ms	-3.0456693666757943e+200	-3.117866348546384e+195

Results

20.0ms

272×

valid

Compiler

Compiled 360 to 292 computations (18.9% saved)

Precisions

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

ival-div: 5.0ms (44.3% of total)

ival-mult: 3.0ms (26.6% of total)

ival-sub: 1.0ms (8.9% of total)

ival-add: 1.0ms (8.9% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch57.0ms (1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	7.423367470639322e-96	8.077009777907216e-84
19.0ms	4.3603649698395126e-173	1.1837422257847852e-160
15.0ms	-3.916755644059756e+38	-9.510520944305246e+31

Results

36.0ms

464×

valid

Compiler

Compiled 484 to 407 computations (15.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 9.0ms (43% of total)

ival-mult: 7.0ms (33.4% of total)

ival-sub: 2.0ms (9.5% of total)

ival-add: 2.0ms (9.5% of total)

...in/eval/compile.rkt:70:19: 1.0ms (4.8% of total)

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

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

bsearch30.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.9024893514517275e+23	2.3263330820708126e+24
17.0ms	-4.064295851688842e+61	-1.4022883349554672e+56

Results

19.0ms

240×

valid

Compiler

Compiled 230 to 200 computations (13% saved)

Precisions

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

ival-div: 3.0ms (32.9% of total)

ival-mult: 3.0ms (32.9% of total)

ival-sub: 1.0ms (11% of total)

ival-add: 1.0ms (11% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
12×	`+-commutative`
10×	`sub-neg`
8×	`neg-sub0`
8×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	342
1	86	342
2	108	342
3	128	342
4	140	342
5	146	342
6	148	342

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 (.f64 y z) #s(literal -40000000000000000622376645178673720970728055876842457334790823217233351246590228130599415596601897907048251234713600 binary64)) (-.f64 t (.f64 #s(literal 1/2 binary64) (.f64 y z))) (if (<=.f64 (.f64 y z) #s(literal 2000000000000000000000 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) x) t) (-.f64 t (.f64 #s(literal 1/2 binary64) (*.f64 y z)))))
(if (<=.f64 y #s(literal -7100000000000000109564089070766169194271168933469940467990360108975252323384777286099464656732257665915846952806085533963700787050979080159237990802951566203133191994781137327281836316308698824704 binary64)) (.f64 z (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 3537834798240593/411376139330301510538742295639337626245683966408394965837152256 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) x) t) (.f64 z (*.f64 #s(literal -1/2 binary64) y))))
(if (<=.f64 y #s(literal -1800000000000000132619716698046464 binary64)) (.f64 z (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 8267056630594417/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152 binary64)) t (if (<=.f64 y #s(literal 3827688768370271/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (.f64 #s(literal 1/8 binary64) x) (.f64 z (*.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 t #s(literal -174999999999999999749442527045865670405079147777573781504 binary64)) t (if (<=.f64 t #s(literal 600000000000000016777216 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 (.f64 y z) #s(literal -40000000000000000622376645178673720970728055876842457334790823217233351246590228130599415596601897907048251234713600 binary64)) (-.f64 t (.f64 #s(literal 1/2 binary64) (.f64 y z))) (if (<=.f64 (.f64 y z) #s(literal 2000000000000000000000 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) x) t) (-.f64 t (.f64 #s(literal 1/2 binary64) (*.f64 y z)))))
(if (or (<=.f64 (.f64 y z) #s(literal -40000000000000000622376645178673720970728055876842457334790823217233351246590228130599415596601897907048251234713600 binary64)) (not (<=.f64 (.f64 y z) #s(literal 2000000000000000000000 binary64)))) (-.f64 t (.f64 (.f64 y z) #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))
(if (<=.f64 y #s(literal -7100000000000000109564089070766169194271168933469940467990360108975252323384777286099464656732257665915846952806085533963700787050979080159237990802951566203133191994781137327281836316308698824704 binary64)) (.f64 z (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 3537834798240593/411376139330301510538742295639337626245683966408394965837152256 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) x) t) (.f64 z (*.f64 #s(literal -1/2 binary64) y))))
(if (or (<=.f64 y #s(literal -7100000000000000109564089070766169194271168933469940467990360108975252323384777286099464656732257665915846952806085533963700787050979080159237990802951566203133191994781137327281836316308698824704 binary64)) (not (<=.f64 y #s(literal 3537834798240593/411376139330301510538742295639337626245683966408394965837152256 binary64)))) (.f64 z (.f64 y #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))
(if (<=.f64 y #s(literal -1800000000000000132619716698046464 binary64)) (.f64 z (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 8267056630594417/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152 binary64)) t (if (<=.f64 y #s(literal 3827688768370271/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (.f64 #s(literal 1/8 binary64) x) (.f64 z (*.f64 #s(literal -1/2 binary64) y)))))
(if (<=.f64 y #s(literal -1800000000000000132619716698046464 binary64)) (.f64 z (.f64 y #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 8267056630594417/8702164874309912144930213176155645990168053640839691029699692760275411924760203145038438437113516616399082774302662672635438355868101955410485575332111767174247731541367082500615833649152 binary64)) t (if (<=.f64 y #s(literal 3827688768370271/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (.f64 #s(literal 1/8 binary64) x) (.f64 z (*.f64 y #s(literal -1/2 binary64))))))
(if (<=.f64 t #s(literal -174999999999999999749442527045865670405079147777573781504 binary64)) t (if (<=.f64 t #s(literal 600000000000000016777216 binary64)) (*.f64 #s(literal 1/8 binary64) x) t))
t

soundness625.0ms (10.5%)

Rules

1797×	`fmm-def`
734×	`times-frac`
591×	`fma-define`
588×	`fma-define`
404×	`associate-/l*`

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	3973	576
6	4161	576
7	4184	576
8	4193	576
9	4193	576
10	4195	576
11	5606	576
12	5606	576
13	5606	576
0	368	6825
1	819	6606
2	2255	6345

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 209 to 87 computations (58.4% saved)

preprocess54.0ms (0.9%)

Remove: (sort y z)
Compiler: Compiled 352 to 210 computations (40.3% saved)

analyze0.0ms (0%)

sample968.0ms (16.3%)

preprocess350.0ms (5.9%)

explain159.0ms (2.7%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify44.0ms (0.7%)

localize34.0ms (0.6%)

series19.0ms (0.3%)

rewrite370.0ms (6.2%)

simplify319.0ms (5.4%)

eval94.0ms (1.6%)

prune194.0ms (3.3%)

simplify44.0ms (0.7%)

localize37.0ms (0.6%)

series69.0ms (1.2%)

rewrite168.0ms (2.8%)

simplify117.0ms (2%)

eval32.0ms (0.5%)

prune187.0ms (3.1%)

simplify275.0ms (4.6%)

localize48.0ms (0.8%)

series15.0ms (0.2%)

rewrite152.0ms (2.6%)

simplify251.0ms (4.2%)

eval49.0ms (0.8%)

prune102.0ms (1.7%)

simplify376.0ms (6.3%)

localize75.0ms (1.3%)

series1.0ms (0%)

rewrite69.0ms (1.2%)

simplify43.0ms (0.7%)

eval9.0ms (0.2%)

prune28.0ms (0.5%)

regimes35.0ms (0.6%)

regimes18.0ms (0.3%)

regimes8.0ms (0.1%)

regimes30.0ms (0.5%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch363.0ms (6.1%)

bsearch57.0ms (1%)

bsearch30.0ms (0.5%)

simplify12.0ms (0.2%)

soundness625.0ms (10.5%)

preprocess54.0ms (0.9%)

end0.0ms (0%)

Profiling