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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.8s (29.5%)

Results

1.4s	8255×	0	valid
1.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 974.0ms

ival-mult: 458.0ms (47% of total)

ival-div: 396.0ms (40.7% of total)

ival-sub: 52.0ms (5.3% of total)

ival-add: 46.0ms (4.7% of total)

const: 19.0ms (2% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess333.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort y z)

explain284.0ms (4.7%)

FPErrors

Click to see full error table

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

Results

228.0ms

512×

valid

Compiler

Compiled 121 to 79 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-div: 165.0ms (86.2% of total)

ival-mult: 14.0ms (7.3% of total)

ival-sub: 5.0ms (2.6% of total)

const: 4.0ms (2.1% of total)

ival-add: 3.0ms (1.6% of total)

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

eval1.0ms (0%)

Compiler: Compiled 34 to 22 computations (35.3% 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)

localize276.0ms (4.6%)

Algorithm

1×	egg-herbie

Localize:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

160.0ms

256×

valid

Compiler

Compiled 42 to 27 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 11.0ms (45.5% of total)

ival-div: 8.0ms (33.1% of total)

ival-sub: 3.0ms (12.4% of total)

ival-add: 1.0ms (4.1% of total)

const: 1.0ms (4.1% of total)

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

series16.0ms (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 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)>
#<alt (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64))))>
#<alt (/.f64 z #s(literal 2 binary64))>

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 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))))>
#<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 #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)>

Calls

33 calls:

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

rewrite350.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

5 → 309

Calls

Call 1

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

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

simplify617.0ms (10.3%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-neg`
617×	`distribute-lft-in`
386×	`distribute-lft-neg-in`
376×	`distribute-rgt-neg-in`
196×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	623	16930
1	1414	16027
2	3973	15760

Stop Event

1×	node limit

Counts

429 → 408

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

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

eval286.0ms (4.8%)

Compiler: Compiled 8512 to 5605 computations (34.2% saved)

prune239.0ms (4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	402	6	408
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	402	7	409

Accuracy

100.0%

Counts

409 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.8%	(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
	66.1%	(-.f64 t (.f64 (.f64 #s(literal 1/2 binary64) y) z))
✓	100.0%	(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
▶	63.8%	(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
▶	37.8%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
▶	35.3%	(*.f64 #s(literal 1/8 binary64) x)
▶	30.1%	t

Compiler

Compiled 123 to 95 computations (22.8% saved)

localize177.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 #s(literal 1/8 binary64) x)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y z))
	cost-diff	0	(*.f64 #s(literal 1/8 binary64) x)
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 y z)
	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 y z))

Rules

429×	`fma-define`
177×	`fma-neg`
58×	`distribute-lft-neg-in`
56×	`cancel-sign-sub-inv`
37×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	185
1	38	177
2	70	177
3	127	177
4	179	177
5	249	177
6	366	177
7	484	177
8	622	177
9	915	177
10	1115	177
11	1159	177
12	1179	177
13	1181	177

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

54.0ms

256×

valid

Compiler

Compiled 58 to 32 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 25.0ms (83.5% of total)

const: 2.0ms (6.7% of total)

ival-sub: 1.0ms (3.3% of total)

ival-add: 1.0ms (3.3% of total)

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

series4.0ms (0.1%)

Counts

3 → 24

Calls

Call 1

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

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))>

Calls

18 calls:

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

rewrite86.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`unpow-prod-down`
484×	`log1p-expm1-u`
484×	`expm1-log1p-u`
408×	`pow1`
335×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	130	57
2	1573	3

Stop Event

1×	node limit

Counts

3 → 3

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative`
3×	`associate-r`
3×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	459
1	15	459
2	22	459
3	24	459

Stop Event

1×

saturated

Counts

27 → 3

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))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)

Outputs
(.f64 #s(literal -1/2 binary64) (.f64 y z))
(.f64 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 -1/2 binary64) (.f64 y z))
(.f64 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 -1/2 binary64) (.f64 y z))
(.f64 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 -1/2 binary64) (.f64 y z))
(.f64 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 -1/2 binary64) (.f64 y z))
(.f64 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 -1/2 binary64) (.f64 y z))
(.f64 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 -1/2 binary64) (.f64 y z))
(.f64 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 -1/2 binary64) (.f64 y z))
(.f64 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 -1/2 binary64) (.f64 y z))
(.f64 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 -1/2 binary64) (.f64 y z))
(.f64 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 -1/2 binary64) (.f64 y z))
(.f64 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 -1/2 binary64) (.f64 y z))
(.f64 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)))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)

eval7.0ms (0.1%)

Compiler: Compiled 354 to 256 computations (27.7% saved)

prune9.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	42	7	49

Accuracy

100.0%

Counts

49 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.8%	(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
▶	66.1%	(-.f64 t (.f64 (.f64 #s(literal 1/2 binary64) y) z))
✓	100.0%	(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
✓	63.8%	(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
✓	37.8%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	35.3%	(*.f64 #s(literal 1/8 binary64) x)
✓	30.1%	t

Compiler

Compiled 69 to 53 computations (23.2% saved)

localize75.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(-.f64 t (.f64 (.f64 #s(literal 1/2 binary64) y) z))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) y) z)
✓	accuracy	100.0%	(-.f64 t (.f64 (.f64 #s(literal 1/2 binary64) y) z))
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) y) z)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)

Rules

252×	`fma-define`
110×	`fma-neg`
45×	`cancel-sign-sub-inv`
43×	`distribute-lft-neg-in`
27×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	23	70
2	53	66
3	111	66
4	162	66
5	221	66
6	311	66
7	388	66
8	509	66
9	693	66
10	779	66
11	791	66

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

28.0ms

256×

valid

Compiler

Compiled 24 to 15 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 11.0ms (81.5% of total)

ival-sub: 1.0ms (7.4% of total)

const: 1.0ms (7.4% of total)

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

series6.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

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

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) (.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 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

18 calls:

Time	Variable		Point	Expression
1.0ms	t	@	-inf	(- t (* (* 1/2 y) z))
0.0ms	y	@	0	(* 1/2 y)
0.0ms	y	@	inf	(- t (* (* 1/2 y) z))
0.0ms	y	@	inf	(* 1/2 y)
0.0ms	y	@	-inf	(* 1/2 y)

rewrite117.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`prod-diff`
707×	`log1p-expm1-u`
707×	`expm1-log1p-u`
394×	`log-prod`
238×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	143	57
2	1944	53

Stop Event

1×	node limit

Counts

3 → 204

Calls

Call 1

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

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

simplify143.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

679×	`times-frac`
444×	`distribute-lft-in`
392×	`distribute-rgt-in`
360×	`cancel-sign-sub-inv`
313×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	495	9176
1	1164	8502
2	3051	7890

Stop Event

1×	node limit

Counts

264 → 253

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) (.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 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)))
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(fma.f64 #s(literal 1 binary64) (.f64 z (.f64 y #s(literal -1/2 binary64))) t)
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (.f64 y z)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) #s(literal 2 binary64)) (fma.f64 (.f64 y #s(literal -1/2 binary64)) z (.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) #s(literal 2 binary64)) (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y z))))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (fma.f64 (neg.f64 (.f64 y z)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (fma.f64 (.f64 y #s(literal -1/2 binary64)) z (.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z))) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) t)
(fma.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (.f64 z (.f64 y #s(literal -1/2 binary64))))
(fma.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (.f64 (.f64 z (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (cbrt.f64 t) (.f64 z (.f64 y #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) (cbrt.f64 t) (.f64 (.f64 z (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (fma.f64 (neg.f64 (.f64 y z)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (fma.f64 (.f64 y #s(literal -1/2 binary64)) z (.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y z))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y z) t)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y z))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z))) (neg.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) t)
(fma.f64 (sqrt.f64 t) (sqrt.f64 t) (.f64 z (.f64 y #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 t) (sqrt.f64 t) (.f64 (.f64 z (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)) (fma.f64 #s(literal 1/2 binary64) (.f64 y z) t) (pow.f64 t #s(literal 2 binary64)))) (fma.f64 (neg.f64 (.f64 y z)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y z))))
(fma.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)) (fma.f64 #s(literal 1/2 binary64) (.f64 y z) t) (pow.f64 t #s(literal 2 binary64)))) (fma.f64 (.f64 y #s(literal -1/2 binary64)) z (.f64 #s(literal 1/2 binary64) (.f64 y z))))
(fma.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)) (fma.f64 #s(literal 1/2 binary64) (.f64 y z) t) (pow.f64 t #s(literal 2 binary64)))) (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)) (fma.f64 #s(literal 1/2 binary64) (.f64 y z) t) (pow.f64 t #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y z) t)) (fma.f64 (neg.f64 (.f64 y z)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y z))))
(fma.f64 (-.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y z) t)) (fma.f64 (.f64 y #s(literal -1/2 binary64)) z (.f64 #s(literal 1/2 binary64) (.f64 y z))))
(fma.f64 (-.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y z) t)) (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 t #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y z) t)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) z t)
(fma.f64 (neg.f64 z) (*.f64 #s(literal 1/2 binary64) y) t)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z))) t)
(fma.f64 (.f64 (cbrt.f64 (.f64 z (.f64 y #s(literal -1/2 binary64)))) (cbrt.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))))) (cbrt.f64 (.f64 z (*.f64 y #s(literal -1/2 binary64)))) t)
(fma.f64 (sqrt.f64 (.f64 z (.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 z (.f64 y #s(literal -1/2 binary64)))) t)
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y z)) t)
(fma.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (fma.f64 (neg.f64 (.f64 y z)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (fma.f64 (.f64 y #s(literal -1/2 binary64)) z (.f64 #s(literal 1/2 binary64) (*.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (fma.f64 (.f64 z (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y z))))
(fma.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (-.f64 (sqrt.f64 t) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z)))) (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y z))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y z) t)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 y z))) t)
(fma.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) z t)
(fma.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) t)
(fma.f64 (.f64 (.f64 y #s(literal -1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 z) t)

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

eval67.0ms (1.1%)

Compiler: Compiled 5120 to 3077 computations (39.9% saved)

prune50.0ms (0.8%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	253	7	260

Accuracy

100.0%

Counts

260 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.8%	(-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))
✓	66.1%	(-.f64 t (.f64 (.f64 #s(literal 1/2 binary64) y) z))
✓	100.0%	(+.f64 (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 y (/.f64 z #s(literal 2 binary64)))) t)
✓	63.8%	(+.f64 t (*.f64 #s(literal 1/8 binary64) x))
✓	37.8%	(.f64 y (.f64 z #s(literal -1/2 binary64)))
✓	35.3%	(*.f64 #s(literal 1/8 binary64) x)
✓	30.1%	t

Compiler

Compiled 127 to 90 computations (29.1% saved)

regimes31.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

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

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)

regimes42.0ms (0.7%)

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

9.0ms	t
9.0ms	x
9.0ms	y
8.0ms	z
6.0ms	(*.f64 y z)

Results

Accuracy	Segments	Branch
89.1%	5	`x`
87.5%	3	`y`
87.8%	4	`z`
90.0%	4	`t`
90.3%	3	`(*.f64 y z)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes33.0ms (0.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	t
8.0ms	x
7.0ms	z
7.0ms	y

Results

Accuracy	Segments	Branch
87.0%	5	`x`
85.6%	3	`z`
85.3%	5	`y`
77.6%	5	`t`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes17.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	z
5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
80.9%	3	`y`
68.6%	3	`x`
81.1%	7	`z`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes24.0ms (0.4%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	x
6.0ms	t
6.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
60.8%	7	`x`
64.3%	8	`t`
62.8%	5	`z`
60.3%	7	`y`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes15.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	z
3.0ms	x
3.0ms	t
3.0ms	y

Results

Accuracy	Segments	Branch
38.7%	3	`y`
52.2%	5	`x`
52.1%	3	`t`
43.8%	4	`z`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
t

Outputs
t

Calls

4 calls:

1.0ms	y
0.0ms	t
0.0ms	z
0.0ms	x

Results

Accuracy	Segments	Branch
30.1%	1	`y`
30.1%	1	`z`
30.1%	1	`x`
30.1%	1	`t`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.303277647005052e+74	7.990516630488264e+81
0.0ms	-8.195233003079727e-7	-9.603788254270537e-21

Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.1496074864559543e+67	7.8306540222576895e+68
18.0ms	-2.4319164723650943e-171	-2.596924977126632e-182

Results

23.0ms

272×

valid

Compiler

Compiled 398 to 308 computations (22.6% saved)

Precisions

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

ival-div: 4.0ms (35.7% of total)

ival-mult: 4.0ms (35.7% of total)

ival-sub: 2.0ms (17.8% of total)

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

const: 1.0ms (8.9% of total)

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

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.219341511777777e+72	3.146352628239619e+74
11.0ms	-1.1388720806364625e+154	-2.4045079411210297e+153

Results

22.0ms

224×

valid

Compiler

Compiled 304 to 243 computations (20.1% saved)

Precisions

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

ival-mult: 4.0ms (40.9% of total)

ival-div: 3.0ms (30.7% of total)

ival-sub: 1.0ms (10.2% of total)

ival-add: 1.0ms (10.2% of total)

const: 1.0ms (10.2% of total)

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

bsearch65.0ms (1.1%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	4.03321106452262e+75	1.6437938413623876e+79
11.0ms	1.6114755174671045e+39	1.6692990631862726e+40
15.0ms	1.5319856553427148e-96	6.834222560642104e-94
19.0ms	-2.4319164723650943e-171	-2.596924977126632e-182

Results

42.0ms

512×

valid

Compiler

Compiled 544 to 457 computations (16% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 8.0ms (33.6% of total)

ival-mult: 8.0ms (33.6% of total)

ival-add: 4.0ms (16.8% of total)

ival-sub: 3.0ms (12.6% of total)

const: 1.0ms (4.2% of total)

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

bsearch26.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.766670751209879e+81	6.258792246914501e+85
8.0ms	-2.307457951639287e+106	-1.3015176359677433e+106

Results

16.0ms

192×

valid

Compiler

Compiled 192 to 163 computations (15.1% saved)

Precisions

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

ival-div: 4.0ms (44.2% of total)

ival-mult: 3.0ms (33.1% of total)

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

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

const: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
15×	`+-commutative`
13×	`sub-neg`
10×	`distribute-lft-neg-in`
10×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	448
1	108	448
2	144	448
3	169	448
4	183	448
5	188	448
6	189	448

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 -4722366482869645/9444732965739290427392 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 y z))) (if (<=.f64 (.f64 y z) #s(literal 499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))))
(if (<=.f64 z #s(literal -5221298924585947/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (-.f64 t (.f64 (.f64 #s(literal 1/2 binary64) y) z)) (if (<=.f64 z #s(literal 105000000000000000432227972251715664691877623245810507116572431089664 binary64)) (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (-.f64 t (.f64 (*.f64 #s(literal 1/2 binary64) y) z))))
(if (<=.f64 y #s(literal -5500000000000000277639786652190391567645806834145142966370403538064168385465567174566545313149921928697545057617367080444967564323921992688018612616691712 binary64)) (.f64 y (.f64 z #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 19000000000000001089988129566268362025639872679025790634523037983584550912 binary64)) (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(if (<=.f64 z #s(literal -5003744802728199/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (.f64 y (.f64 z #s(literal -1/2 binary64))) (if (<=.f64 z #s(literal 7139569451632453/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)) (.f64 #s(literal 1/8 binary64) x) (if (<=.f64 z #s(literal 5299999999999999786239590985776899293184 binary64)) t (if (<=.f64 z #s(literal 459999999999999989508900982936710500172499817938612964712760762949462772416512 binary64)) (.f64 #s(literal 1/8 binary64) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
(if (<=.f64 t #s(literal -13199999999999999897972162610792246926272752154314399481500231788590791414733873494039485880219436134170624 binary64)) t (if (<=.f64 t #s(literal 11000000000000000608472762212124223932142923311037074834441316073041263193082560512 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 -4722366482869645/9444732965739290427392 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 y z))) (if (<=.f64 (.f64 y z) #s(literal 499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)) (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 y z)))))
(if (or (<=.f64 (.f64 y z) #s(literal -4722366482869645/9444732965739290427392 binary64)) (not (<=.f64 (.f64 y z) #s(literal 499999999999999963269890588240599461754401607599733943631323209890181152768 binary64)))) (-.f64 (.f64 #s(literal 1/8 binary64) x) (.f64 (.f64 y z) #s(literal 1/2 binary64))) (+.f64 (.f64 #s(literal 1/8 binary64) x) t))
(if (<=.f64 z #s(literal -5221298924585947/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (-.f64 t (.f64 (.f64 #s(literal 1/2 binary64) y) z)) (if (<=.f64 z #s(literal 105000000000000000432227972251715664691877623245810507116572431089664 binary64)) (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (-.f64 t (.f64 (*.f64 #s(literal 1/2 binary64) y) z))))
(if (or (<=.f64 z #s(literal -5221298924585947/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (not (<=.f64 z #s(literal 105000000000000000432227972251715664691877623245810507116572431089664 binary64)))) (-.f64 t (.f64 z (.f64 y #s(literal 1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))
(if (<=.f64 y #s(literal -5500000000000000277639786652190391567645806834145142966370403538064168385465567174566545313149921928697545057617367080444967564323921992688018612616691712 binary64)) (.f64 y (.f64 z #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 19000000000000001089988129566268362025639872679025790634523037983584550912 binary64)) (+.f64 t (.f64 #s(literal 1/8 binary64) x)) (.f64 y (*.f64 z #s(literal -1/2 binary64)))))
(if (or (<=.f64 y #s(literal -5500000000000000277639786652190391567645806834145142966370403538064168385465567174566545313149921928697545057617367080444967564323921992688018612616691712 binary64)) (not (<=.f64 y #s(literal 19000000000000001089988129566268362025639872679025790634523037983584550912 binary64)))) (.f64 y (.f64 z #s(literal -1/2 binary64))) (+.f64 (*.f64 #s(literal 1/8 binary64) x) t))
(if (<=.f64 z #s(literal -5003744802728199/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288 binary64)) (.f64 y (.f64 z #s(literal -1/2 binary64))) (if (<=.f64 z #s(literal 7139569451632453/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616 binary64)) (.f64 #s(literal 1/8 binary64) x) (if (<=.f64 z #s(literal 5299999999999999786239590985776899293184 binary64)) t (if (<=.f64 z #s(literal 459999999999999989508900982936710500172499817938612964712760762949462772416512 binary64)) (.f64 #s(literal 1/8 binary64) x) (.f64 y (.f64 z #s(literal -1/2 binary64)))))))
(if (<=.f64 t #s(literal -13199999999999999897972162610792246926272752154314399481500231788590791414733873494039485880219436134170624 binary64)) t (if (<=.f64 t #s(literal 11000000000000000608472762212124223932142923311037074834441316073041263193082560512 binary64)) (*.f64 #s(literal 1/8 binary64) x) t))
t

soundness664.0ms (11.1%)

Rules

1797×	`fma-neg`
718×	`fma-neg`
617×	`distribute-lft-in`
591×	`fma-define`
386×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	623	16930
1	1414	16027
2	3973	15760
0	67	728
1	186	652
2	475	576
3	1308	576
4	3205	576
5	3979	576
6	4179	576
7	4202	576
8	4211	576
9	4211	576
10	4213	576
11	5624	576
12	5624	576
13	5624	576

Stop Event

1×	done
1×	saturated
1×	node limit

Compiler

Compiled 255 to 165 computations (35.3% saved)

preprocess70.0ms (1.2%)

Remove: (sort y z)
Compiler: Compiled 412 to 282 computations (31.6% saved)

Iter	Nodes	Cost
0	13	70
1	23	70
2	53	66
3	111	66
4	162	66
5	221	66
6	311	66
7	388	66
8	509	66
9	693	66
10	779	66
11	791	66

Iter	Nodes	Cost
0	13	70
1	23	70
2	53	66
3	111	66
4	162	66
5	221	66
6	311	66
7	388	66
8	509	66
9	693	66
10	779	66
11	791	66

analyze0.0ms (0%)

sample1.8s (29.5%)

preprocess333.0ms (5.6%)

explain284.0ms (4.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize276.0ms (4.6%)

series16.0ms (0.3%)

rewrite350.0ms (5.8%)

simplify617.0ms (10.3%)

eval286.0ms (4.8%)

prune239.0ms (4%)

localize177.0ms (3%)

series4.0ms (0.1%)

rewrite86.0ms (1.4%)

simplify13.0ms (0.2%)

eval7.0ms (0.1%)

prune9.0ms (0.2%)

localize75.0ms (1.2%)

series6.0ms (0.1%)

rewrite117.0ms (2%)

simplify143.0ms (2.4%)

eval67.0ms (1.1%)

prune50.0ms (0.8%)

regimes31.0ms (0.5%)

regimes42.0ms (0.7%)

regimes33.0ms (0.5%)

regimes17.0ms (0.3%)

regimes24.0ms (0.4%)

regimes15.0ms (0.2%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch36.0ms (0.6%)

bsearch32.0ms (0.5%)

bsearch65.0ms (1.1%)

bsearch26.0ms (0.4%)

simplify13.0ms (0.2%)

soundness664.0ms (11.1%)

preprocess70.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	70
1	23	70
2	53	66
3	111	66
4	162	66
5	221	66
6	311	66
7	388	66
8	509	66
9	693	66
10	779	66
11	791	66