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

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 10 computations (23.1% 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-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

sample921.0ms (19.4%)

Results

651.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 397.0ms

ival-div: 248.0ms (62.4% of total)

ival-mult: 70.0ms (17.6% of total)

ival-sub: 61.0ms (15.4% of total)

const: 16.0ms (4% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess108.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-define`
378×	`fma-neg`
86×	`unsub-neg`
83×	`distribute-lft-neg-in`
79×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	398
1	83	342
2	171	330
3	373	330
4	780	330
5	1448	330
6	2207	330
7	2262	330
8	2268	330
9	2268	330

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

explain82.0ms (1.7%)

FPErrors

Click to see full error table

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

Results

51.0ms

512×

valid

Compiler

Compiled 70 to 41 computations (41.4% saved)

Precisions

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

ival-div: 13.0ms (55.2% of total)

ival-mult: 5.0ms (21.2% of total)

ival-sub: 3.0ms (12.7% of total)

const: 2.0ms (8.5% of total)

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

eval3.0ms (0.1%)

Compiler: Compiled 36 to 24 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 9 computations (25% saved)

localize79.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
✓	cost-diff	0	(/.f64 z #s(literal 8 binary64))
✓	cost-diff	0	(/.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x (/.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 z #s(literal 8 binary64))
✓	accuracy	100.0%	(/.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
✓	accuracy	100.0%	(*.f64 x (/.f64 y #s(literal 2 binary64)))

Rules

211×	`fma-define`
155×	`fma-neg`
45×	`distribute-lft-neg-in`
36×	`cancel-sign-sub-inv`
26×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	87
1	23	83
2	36	83
3	47	83
4	74	83
5	121	83
6	230	83
7	409	83
8	613	83
9	815	83
10	920	83
11	935	83
12	937	83

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

29.0ms

256×

valid

Compiler

Compiled 29 to 19 computations (34.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 9.0ms (58% of total)

ival-mult: 4.0ms (25.8% of total)

ival-sub: 1.0ms (6.4% of total)

const: 1.0ms (6.4% of total)

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

series140.0ms (2.9%)

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite388.0ms (8.2%)

Algorithm

1×	batch-egg-rewrite

Rules

909×	`prod-diff`
880×	`log1p-expm1-u`
880×	`expm1-log1p-u`
260×	`fma-define`
150×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	179	69
2	2411	69

Stop Event

1×	node limit

Counts

4 → 275

Calls

Call 1

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

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

simplify184.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

486×	`fma-neg`
290×	`distribute-lft-neg-in`
271×	`distribute-rgt-neg-in`
230×	`distribute-lft-in`
226×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	571	14989
1	1285	11324
2	3753	10544

Stop Event

1×	node limit

Counts

359 → 318

Calls

Call 1

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

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

eval97.0ms (2.1%)

Compiler: Compiled 6699 to 4360 computations (34.9% saved)

prune71.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	317	1	318
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	317	2	319

Accuracy

100.0%

Counts

319 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
▶	50.9%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize30.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	8	15

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

10.0ms

256×

valid

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (77.6% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

1 → 0

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal -1/8 binary64) z)>

Outputs

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(* -1/8 z)
0.0ms	z	@	inf	(* -1/8 z)
0.0ms	z	@	-inf	(* -1/8 z)

rewrite171.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1027×	`log1p-expm1-u`
484×	`expm1-log1p-u`
314×	`associate-r`
287×	`associate-l`
176×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	46	10
2	489	10
3	5810	10

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))) (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -1/8 binary64) z)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z)))) (sqrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(fabs.f64 (*.f64 #s(literal -1/8 binary64) z))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64)))

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

620×	`sub-neg`
508×	`times-frac`
352×	`associate-r`
315×	`div-sub`
312×	`prod-exp`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	486
1	159	482
2	396	475
3	1622	471
4	4878	471

Stop Event

1×	node limit

Counts

25 → 33

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))) (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))))
(-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -1/8 binary64) z)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z)))) (sqrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(fabs.f64 (*.f64 #s(literal -1/8 binary64) z))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64)))

Outputs
(+.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/8 binary64)) z))))
(+.f64 (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))) (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))))
(*.f64 (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 3 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -1/8 binary64) z)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z)))) (sqrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(fabs.f64 (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z)))
(*.f64 #s(literal -1/8 binary64) z)
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/8 binary64) z)))
(*.f64 #s(literal -1/8 binary64) z)
(exp.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) z)))
(*.f64 #s(literal -1/8 binary64) z)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 3 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64)))
(*.f64 #s(literal -1/8 binary64) z)

eval6.0ms (0.1%)

Compiler: Compiled 334 to 274 computations (18% saved)

prune6.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	32	3	35

Accuracy

100.0%

Counts

35 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

37.1%

(-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))

✓

100.0%

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

✓

50.9%

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

Compiler

Compiled 28 to 23 computations (17.9% saved)

localize257.0ms (5.4%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
	cost-diff	-128	(*.f64 #s(literal -1/8 binary64) z)
✓	cost-diff	256	(-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
	accuracy	100.0%	(*.f64 #s(literal -1/8 binary64) z)
✓	accuracy	53.0%	(-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))

Rules

5052×	`associate-+r-`
672×	`sub-neg`
666×	`+-commutative`
195×	`associate-+r+`
150×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	25	38
2	35	38
3	73	38
4	159	38
5	356	38
6	871	38
7	1173	38
8	1308	38
9	1423	38
10	1423	38
11	1423	38
12	3045	38
13	3660	38
14	4024	38
15	4024	38
16	4024	38
17	4024	38

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 0 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 0 binary64))
#s(literal -1/8 binary64)
z
#s(literal 1 binary64)

Results

11.0ms	129×	0	valid
105.0ms	127×	1	valid

Compiler

Compiled 22 to 18 computations (18.2% saved)

Precisions

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

ival-mult: 8.0ms (40.9% of total)

ival-add: 4.0ms (20.5% of total)

backward-pass: 4.0ms (20.5% of total)

const: 2.0ms (10.2% of total)

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

series2.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(- (+ (* -1/8 z) 1) 1)
0.0ms	z	@	-inf	(+ (* -1/8 z) 1)
0.0ms	z	@	inf	(+ (* -1/8 z) 1)
0.0ms	z	@	0	(+ (* -1/8 z) 1)
0.0ms	z	@	0	(- (+ (* -1/8 z) 1) 1)

rewrite81.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

471×	`log1p-expm1-u`
471×	`expm1-log1p-u`
450×	`add-exp-log`
409×	`unpow-prod-down`
403×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	118	22
2	1565	22

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs
(+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(*.f64 z (log.f64 (exp.f64 #s(literal -1/8 binary64))))
(*.f64 z (pow.f64 (cbrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(*.f64 z (pow.f64 #s(literal -1/512 binary64) #s(literal 1/3 binary64)))
(*.f64 z (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 2 binary64)))
(*.f64 z (exp.f64 (log.f64 #s(literal -1/8 binary64))))
(.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -1/8 binary64) z) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) z))
(.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)))
(.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z))) #s(literal 3 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal -1/8 binary64) z))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)) z)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)))
(*.f64 (pow.f64 #s(literal -1/512 binary64) #s(literal 1/3 binary64)) z)
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 z))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) z) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1/8 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 #s(literal -1/8 binary64) z) (cbrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z))))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 2 binary64)) z)
(*.f64 (exp.f64 (log.f64 #s(literal -1/8 binary64))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 0 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -1/8 binary64) z)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z)))) (sqrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 0 binary64))
(fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal -1/8 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) (.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal -1/8 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z))) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 z)) (sqrt.f64 z) #s(literal 0 binary64))
(-.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 #s(literal -1/8 binary64) z))))
(*.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z)) (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal -1/8 binary64) z))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) z)))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 #s(literal -1/8 binary64) z)))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (*.f64 #s(literal -1/8 binary64) z)))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z)) (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (.f64 #s(literal -1/8 binary64) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 #s(literal -1/8 binary64) z)))) (sqrt.f64 (log1p.f64 (.f64 #s(literal -1/8 binary64) z))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (*.f64 #s(literal -1/8 binary64) z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(fma.f64 z #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) (.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))

simplify189.0ms (4%)

Algorithm

1×	egg-herbie

Rules

467×	`fma-define`
409×	`div-sub`
332×	`times-frac`
325×	`distribute-lft-in`
319×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	330	4245
1	640	4096
2	1581	3901
3	6552	3889

Stop Event

1×	node limit

Counts

184 → 205

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) z))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(*.f64 z (log.f64 (exp.f64 #s(literal -1/8 binary64))))
(*.f64 z (pow.f64 (cbrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(*.f64 z (pow.f64 #s(literal -1/512 binary64) #s(literal 1/3 binary64)))
(*.f64 z (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 2 binary64)))
(*.f64 z (exp.f64 (log.f64 #s(literal -1/8 binary64))))
(.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
(.f64 (.f64 #s(literal -1/8 binary64) z) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) z))
(.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)))
(.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) (.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z))) #s(literal 3 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal -1/8 binary64) z))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)) z)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)))
(*.f64 (pow.f64 #s(literal -1/512 binary64) #s(literal 1/3 binary64)) z)
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 z))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) z) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1/8 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 #s(literal -1/8 binary64) z) (cbrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z))))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 2 binary64)) z)
(*.f64 (exp.f64 (log.f64 #s(literal -1/8 binary64))) z)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 0 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal -1/8 binary64) z)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z)))) (sqrt.f64 (log.f64 (.f64 #s(literal -1/8 binary64) z))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 0 binary64))
(fma.f64 z #s(literal -1/8 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal -1/8 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) (.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal -1/8 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z))) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 z)) (sqrt.f64 z) #s(literal 0 binary64))
(-.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) (.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 #s(literal -1/8 binary64) z))))
(*.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z)) (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 #s(literal -1/8 binary64) z))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) z)))
(/.f64 (.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 #s(literal -1/8 binary64) z)))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (*.f64 #s(literal -1/8 binary64) z)))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z)) (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (.f64 #s(literal -1/8 binary64) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 #s(literal -1/8 binary64) z)))) (sqrt.f64 (log1p.f64 (.f64 #s(literal -1/8 binary64) z))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log1p.f64 (*.f64 #s(literal -1/8 binary64) z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 #s(literal -1/8 binary64) z))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(fma.f64 z #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/64 binary64))) (.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/8 binary64) z)) (.f64 (sqrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))

Outputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) z))))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) z))))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) z))))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 0 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z #s(literal -1 binary64)))
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(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 z)) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) z #s(literal 1 binary64))

eval60.0ms (1.3%)

Compiler: Compiled 2965 to 2499 computations (15.7% saved)

prune38.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	236	2	238
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	237	4	241

Accuracy

100.0%

Counts

241 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
▶	2.7%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	50.9%	(.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64)))
✓	50.9%	(*.f64 #s(literal -1/8 binary64) z)

Compiler

Compiled 34 to 29 computations (14.7% saved)

localize117.0ms (2.5%)

Algorithm

2×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 z #s(literal 1/64 binary64))
✓	cost-diff	128	(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64))
✓	cost-diff	256	(.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 z #s(literal 1/64 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64)))
✓	accuracy	100.0%	(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64))

Rules

8×	`*-commutative`
5×	`associate-/l*`
4×	`associate-r`
4×	`associate-l`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	23	37
2	34	37
3	45	37
4	53	37
5	56	37
0	5	2
1	10	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)

Call 2

Inputs
(.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64))
(*.f64 z #s(literal 1/64 binary64))
z
#s(literal 1/64 binary64)
#s(literal -1/8 binary64)

Outputs
(.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64)))
(*.f64 z #s(literal -1/8 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 z #s(literal 1/64 binary64))
z
#s(literal 1/64 binary64)
#s(literal -1/8 binary64)

Results

87.0ms

256×

valid

Compiler

Compiled 27 to 23 computations (14.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (60.7% of total)

ival-div: 4.0ms (24.3% of total)

const: 2.0ms (12.1% of total)

ival-sub: 1.0ms (6.1% of total)

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

series4.0ms (0.1%)

Counts

4 → 36

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64))>
#<alt (.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64)))>
#<alt (*.f64 z #s(literal 1/64 binary64))>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>

Outputs
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal -1/8 binary64) z)>
#<alt (*.f64 #s(literal 1/64 binary64) z)>
#<alt (*.f64 #s(literal 1/64 binary64) z)>
#<alt (*.f64 #s(literal 1/64 binary64) z)>
#<alt (*.f64 #s(literal 1/64 binary64) z)>
#<alt (*.f64 #s(literal 1/64 binary64) z)>
#<alt (*.f64 #s(literal 1/64 binary64) z)>
#<alt (*.f64 #s(literal 1/64 binary64) z)>
#<alt (*.f64 #s(literal 1/64 binary64) z)>
#<alt (*.f64 #s(literal 1/64 binary64) z)>
#<alt (*.f64 #s(literal 1/64 binary64) z)>
#<alt (*.f64 #s(literal 1/64 binary64) z)>
#<alt (*.f64 #s(literal 1/64 binary64) z)>

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(* z 1/64)
0.0ms	z	@	inf	(* z 1/64)
0.0ms	z	@	0	(* z 1/64)
0.0ms	z	@	0	(/ (* z 1/64) -1/8)
0.0ms	z	@	inf	(* 1 (/ (* z 1/64) -1/8))

rewrite169.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

327×	`unpow-prod-down`
313×	`log1p-expm1-u`
313×	`expm1-log1p-u`
303×	`add-exp-log`
295×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	103	31
2	919	31

Stop Event

1×	node limit

Counts

4 → 148

Calls

Call 1

Inputs
(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64)))
(*.f64 z #s(literal 1/64 binary64))
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))) (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 z (pow.f64 (cbrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(*.f64 z (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 2 binary64)))
(*.f64 z (exp.f64 (log.f64 #s(literal -1/8 binary64))))
(.f64 #s(literal 1/64 binary64) (.f64 z #s(literal -8 binary64)))
(*.f64 #s(literal 1/64 binary64) (/.f64 z #s(literal -1/8 binary64)))
(.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal -8 binary64))
(.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal 8 binary64))
(.f64 (.f64 z #s(literal 1/64 binary64)) (pow.f64 (cbrt.f64 #s(literal -8 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 z #s(literal 1/64 binary64)) (pow.f64 (sqrt.f64 #s(literal -8 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 z #s(literal 1/64 binary64)) (exp.f64 (log.f64 #s(literal -8 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64))
(.f64 (.f64 z #s(literal -1/8 binary64)) (log.f64 (E.f64)))
(.f64 (.f64 z #s(literal -1/8 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 z #s(literal -1/8 binary64)))
(.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/64 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 z #s(literal 1/64 binary64))) #s(literal -8 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/64 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z #s(literal 1/64 binary64))) #s(literal -1/8 binary64)))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) #s(literal -8 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (/.f64 (sqrt.f64 (*.f64 z #s(literal 1/64 binary64))) #s(literal -1/8 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (sqrt.f64 (.f64 #s(literal -8 binary64) (.f64 z #s(literal -1/8 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 #s(literal -1/8 binary64) (*.f64 z #s(literal -1/8 binary64)))))
(.f64 (.f64 z #s(literal -1/64 binary64)) #s(literal 8 binary64))
(.f64 #s(literal -8 binary64) (.f64 z #s(literal 1/64 binary64)))
(.f64 #s(literal -8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/64 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 3/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 z #s(literal -1/8 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) z) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 z #s(literal 1/64 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -8 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 z #s(literal -1/8 binary64)) (cbrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (.f64 z #s(literal -1/8 binary64))))
(.f64 (cbrt.f64 (.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) z)) (cbrt.f64 #s(literal -1/8 binary64)))
(.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 z #s(literal 1/64 binary64)))) (cbrt.f64 #s(literal -8 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 z #s(literal -1/8 binary64)) (cbrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 5/2 binary64))) (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 4 binary64))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))))
(.f64 (sqrt.f64 (.f64 (*.f64 z #s(literal -1/8 binary64)) z)) (sqrt.f64 #s(literal -1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 z #s(literal 1/64 binary64)))) (sqrt.f64 #s(literal -8 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 5 binary64))) (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z #s(literal -1/8 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal -8 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 z #s(literal -1/8 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z #s(literal -1/8 binary64))))) (sqrt.f64 (log.f64 (.f64 z #s(literal -1/8 binary64)))))
(neg.f64 (*.f64 z #s(literal -1/8 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -1/8 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -8 binary64) z)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))) (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64))
(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal 1/8 binary64))
(/.f64 (*.f64 z #s(literal 1/64 binary64)) (pow.f64 (cbrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 z #s(literal 1/64 binary64)) (exp.f64 (log.f64 #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -8 binary64) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal 2 binary64))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -8 binary64) z)))
(/.f64 (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 #s(literal -8 binary64) z)))
(/.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (sqrt.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -8 binary64) z))))
(/.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (sqrt.f64 (.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1/8 binary64))))
(/.f64 (*.f64 z #s(literal -1/64 binary64)) #s(literal 1/8 binary64))
(/.f64 (*.f64 z #s(literal -1/64 binary64)) (exp.f64 (log.f64 #s(literal 1/8 binary64))))
(/.f64 (*.f64 z #s(literal -1/64 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -8 binary64) z)))
(/.f64 (sqrt.f64 (.f64 z #s(literal -1/64 binary64))) (sqrt.f64 (.f64 (/.f64 #s(literal -8 binary64) z) #s(literal 1/8 binary64))))
(/.f64 (.f64 (.f64 z #s(literal -1/64 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64))
(/.f64 (neg.f64 (*.f64 z #s(literal -1/64 binary64))) #s(literal -1/8 binary64))
(/.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 z #s(literal 1/64 binary64)))) (cbrt.f64 #s(literal -1/8 binary64)))
(/.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 z #s(literal -1/64 binary64)))) (cbrt.f64 #s(literal 1/8 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/64 binary64)))) (sqrt.f64 #s(literal -1/8 binary64)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 z #s(literal -1/64 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 1/64 binary64)) (*.f64 z #s(literal -1/64 binary64)))) (sqrt.f64 #s(literal -1/64 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal -1/64 binary64)) (*.f64 z #s(literal 1/64 binary64)))) (sqrt.f64 #s(literal -1/64 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal -1/64 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -8 binary64) z))))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal -1/64 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 1/64 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 #s(literal -1/8 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal -1/64 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z #s(literal -1/8 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal -8 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 z #s(literal -1/8 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z #s(literal -1/8 binary64))))) (sqrt.f64 (log.f64 (.f64 z #s(literal -1/8 binary64)))))
(neg.f64 (*.f64 z #s(literal -1/8 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -1/8 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -8 binary64) z)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/64 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 1/32 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/64 binary64)) z))))
(+.f64 (log.f64 (pow.f64 (exp.f64 z) #s(literal 1/128 binary64))) (log.f64 (pow.f64 (exp.f64 z) #s(literal 1/128 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/64 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/64 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4096 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/262144 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/64 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z #s(literal 1/64 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z #s(literal 1/64 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 z #s(literal 1/64 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z #s(literal 1/64 binary64))))) (sqrt.f64 (log.f64 (.f64 z #s(literal 1/64 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4096 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/64 binary64)) z))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/262144 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/64 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/64 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/64 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z #s(literal 1/64 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/262144 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64)))) #s(literal 2 binary64)))
#s(literal 0 binary64)

simplify271.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

873×	`fma-neg`
797×	`fma-define`
340×	`distribute-lft-in`
307×	`associate-*r/`
302×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	3372
1	531	3261
2	1692	3222
3	7980	3222

Stop Event

1×	node limit

Counts

184 → 178

Calls

Call 1

Inputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 #s(literal 1/64 binary64) z)
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))) (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64))
(*.f64 z #s(literal -1/8 binary64))
(*.f64 z #s(literal 1/8 binary64))
(*.f64 z (pow.f64 (cbrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(*.f64 z (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 2 binary64)))
(*.f64 z (exp.f64 (log.f64 #s(literal -1/8 binary64))))
(.f64 #s(literal 1/64 binary64) (.f64 z #s(literal -8 binary64)))
(*.f64 #s(literal 1/64 binary64) (/.f64 z #s(literal -1/8 binary64)))
(.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal -8 binary64))
(.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal 8 binary64))
(.f64 (.f64 z #s(literal 1/64 binary64)) (pow.f64 (cbrt.f64 #s(literal -8 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 z #s(literal 1/64 binary64)) (pow.f64 (sqrt.f64 #s(literal -8 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 z #s(literal 1/64 binary64)) (exp.f64 (log.f64 #s(literal -8 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64))
(.f64 (.f64 z #s(literal -1/8 binary64)) (log.f64 (E.f64)))
(.f64 (.f64 z #s(literal -1/8 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 z #s(literal -1/8 binary64)))
(.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/64 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 z #s(literal 1/64 binary64))) #s(literal -8 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/64 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z #s(literal 1/64 binary64))) #s(literal -1/8 binary64)))
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) #s(literal -8 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (/.f64 (sqrt.f64 (*.f64 z #s(literal 1/64 binary64))) #s(literal -1/8 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (sqrt.f64 (.f64 #s(literal -8 binary64) (.f64 z #s(literal -1/8 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 #s(literal -1/8 binary64) (*.f64 z #s(literal -1/8 binary64)))))
(.f64 (.f64 z #s(literal -1/64 binary64)) #s(literal 8 binary64))
(.f64 #s(literal -8 binary64) (.f64 z #s(literal 1/64 binary64)))
(.f64 #s(literal -8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/64 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 3/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 z #s(literal -1/8 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) z) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 z #s(literal 1/64 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -8 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 z #s(literal -1/8 binary64)) (cbrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (.f64 z #s(literal -1/8 binary64))))
(.f64 (cbrt.f64 (.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) z)) (cbrt.f64 #s(literal -1/8 binary64)))
(.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 z #s(literal 1/64 binary64)))) (cbrt.f64 #s(literal -8 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 z #s(literal -1/8 binary64)) (cbrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 5/2 binary64))) (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 4 binary64))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))))
(.f64 (sqrt.f64 (.f64 (*.f64 z #s(literal -1/8 binary64)) z)) (sqrt.f64 #s(literal -1/8 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 z #s(literal 1/64 binary64)))) (sqrt.f64 #s(literal -8 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 5 binary64))) (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z #s(literal -1/8 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal -8 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 z #s(literal -1/8 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z #s(literal -1/8 binary64))))) (sqrt.f64 (log.f64 (.f64 z #s(literal -1/8 binary64)))))
(neg.f64 (*.f64 z #s(literal -1/8 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -1/8 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -8 binary64) z)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -1/8 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))) (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64))
(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal 1/8 binary64))
(/.f64 (*.f64 z #s(literal 1/64 binary64)) (pow.f64 (cbrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 z #s(literal 1/64 binary64)) (exp.f64 (log.f64 #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -8 binary64) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal 2 binary64))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal -8 binary64) z)))
(/.f64 (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 #s(literal -8 binary64) z)))
(/.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (sqrt.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -8 binary64) z))))
(/.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (sqrt.f64 (.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1/8 binary64))))
(/.f64 (*.f64 z #s(literal -1/64 binary64)) #s(literal 1/8 binary64))
(/.f64 (*.f64 z #s(literal -1/64 binary64)) (exp.f64 (log.f64 #s(literal 1/8 binary64))))
(/.f64 (*.f64 z #s(literal -1/64 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -8 binary64) z)))
(/.f64 (sqrt.f64 (.f64 z #s(literal -1/64 binary64))) (sqrt.f64 (.f64 (/.f64 #s(literal -8 binary64) z) #s(literal 1/8 binary64))))
(/.f64 (.f64 (.f64 z #s(literal -1/64 binary64)) #s(literal 1 binary64)) #s(literal 1/8 binary64))
(/.f64 (neg.f64 (*.f64 z #s(literal -1/64 binary64))) #s(literal -1/8 binary64))
(/.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 z #s(literal 1/64 binary64)))) (cbrt.f64 #s(literal -1/8 binary64)))
(/.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) (*.f64 z #s(literal -1/64 binary64)))) (cbrt.f64 #s(literal 1/8 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal 1/64 binary64)))) (sqrt.f64 #s(literal -1/8 binary64)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 z #s(literal -1/64 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 1/64 binary64)) (*.f64 z #s(literal -1/64 binary64)))) (sqrt.f64 #s(literal -1/64 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal -1/64 binary64)) (*.f64 z #s(literal 1/64 binary64)))) (sqrt.f64 #s(literal -1/64 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal -1/64 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -8 binary64) z))))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal -1/8 binary64)) (*.f64 z #s(literal -1/64 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 1/64 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 #s(literal -1/8 binary64)))
(/.f64 (sqrt.f64 (.f64 (.f64 z #s(literal -1/64 binary64)) (*.f64 z #s(literal -1/8 binary64)))) (sqrt.f64 #s(literal 1/8 binary64)))
(pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z #s(literal -1/8 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal -8 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 z #s(literal -1/8 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z #s(literal -1/8 binary64))))) (sqrt.f64 (log.f64 (.f64 z #s(literal -1/8 binary64)))))
(neg.f64 (*.f64 z #s(literal -1/8 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -1/8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -1/8 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -1/8 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -8 binary64) z)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/64 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal 1/32 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/64 binary64)) z))))
(+.f64 (log.f64 (pow.f64 (exp.f64 z) #s(literal 1/128 binary64))) (log.f64 (pow.f64 (exp.f64 z) #s(literal 1/128 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/64 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/64 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4096 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/262144 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/64 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z #s(literal 1/64 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z #s(literal 1/64 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 z #s(literal 1/64 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z #s(literal 1/64 binary64))))) (sqrt.f64 (log.f64 (.f64 z #s(literal 1/64 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/4096 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/64 binary64)) z))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/262144 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/64 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/64 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/64 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z #s(literal 1/64 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/262144 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64)))) #s(literal 2 binary64)))
#s(literal 0 binary64)

Outputs
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 z #s(literal 1/64 binary64))
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 z #s(literal 1/64 binary64))
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 z #s(literal 1/64 binary64))
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 z #s(literal 1/64 binary64))
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 z #s(literal 1/64 binary64))
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 z #s(literal 1/64 binary64))
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 z #s(literal 1/64 binary64))
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 z #s(literal 1/64 binary64))
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 z #s(literal 1/64 binary64))
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 z #s(literal 1/64 binary64))
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 z #s(literal 1/64 binary64))
(*.f64 #s(literal 1/64 binary64) z)
(*.f64 z #s(literal 1/64 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) #s(literal -1/8 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))) (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))))
(*.f64 (log.f64 (pow.f64 (exp.f64 z) #s(literal -1/16 binary64))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/8 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal 1/8 binary64))
(*.f64 z (pow.f64 (cbrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z (exp.f64 (log.f64 #s(literal -1/8 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1/64 binary64) (.f64 z #s(literal -8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal 1/64 binary64) (/.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal -8 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal 8 binary64))
(*.f64 z #s(literal 1/8 binary64))
(.f64 (.f64 z #s(literal 1/64 binary64)) (pow.f64 (cbrt.f64 #s(literal -8 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (.f64 z #s(literal 1/64 binary64)) (pow.f64 (sqrt.f64 #s(literal -8 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (.f64 z #s(literal 1/64 binary64)) (exp.f64 (log.f64 #s(literal -8 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (.f64 z #s(literal -1/8 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (.f64 z #s(literal -1/8 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal 1 binary64) (.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/64 binary64))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 z #s(literal 1/64 binary64))) #s(literal -8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal 1/64 binary64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 z #s(literal 1/64 binary64))) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (sqrt.f64 (.f64 z #s(literal -1/8 binary64))) (sqrt.f64 (*.f64 z #s(literal -1/8 binary64))))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) #s(literal -8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (/.f64 (sqrt.f64 (*.f64 z #s(literal 1/64 binary64))) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (sqrt.f64 (.f64 #s(literal -8 binary64) (.f64 z #s(literal -1/8 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal -8 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 #s(literal -1/8 binary64) (*.f64 z #s(literal -1/8 binary64)))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (sqrt.f64 (.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal -8 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 1/64 binary64))) (sqrt.f64 z))
(.f64 (.f64 z #s(literal -1/64 binary64)) #s(literal 8 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal -8 binary64) (.f64 z #s(literal 1/64 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 #s(literal -8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z #s(literal 1/64 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (pow.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 z #s(literal -1/8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) z) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -1/8 binary64)))
(.f64 (cbrt.f64 #s(literal -1/8 binary64)) (cbrt.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 3 binary64)))))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 z #s(literal 1/64 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal -8 binary64)))
(.f64 (cbrt.f64 #s(literal -8 binary64)) (cbrt.f64 (.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/64 binary64))))
(.f64 (cbrt.f64 #s(literal -8 binary64)) (cbrt.f64 (.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 3 binary64))))))
(.f64 (cbrt.f64 #s(literal -8 binary64)) (cbrt.f64 (.f64 #s(literal -1/64 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 z #s(literal 3 binary64))))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 z #s(literal -1/8 binary64)) (cbrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 z (.f64 #s(literal -1/8 binary64) (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z))))
(.f64 (pow.f64 (pow.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 5/2 binary64))) (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (.f64 z #s(literal -1/8 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64))))
(/.f64 (.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)))
(/.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) (pow.f64 (cbrt.f64 (/.f64 #s(literal -8 binary64) z)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) z)) (cbrt.f64 #s(literal -1/8 binary64)))
(.f64 (cbrt.f64 #s(literal -1/8 binary64)) (cbrt.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 3 binary64)))))
(.f64 (cbrt.f64 (.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 z #s(literal 1/64 binary64)))) (cbrt.f64 #s(literal -8 binary64)))
(.f64 (cbrt.f64 #s(literal -8 binary64)) (cbrt.f64 (.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/64 binary64))))
(.f64 (cbrt.f64 #s(literal -8 binary64)) (cbrt.f64 (.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 z #s(literal 3 binary64))))))
(.f64 (cbrt.f64 #s(literal -8 binary64)) (cbrt.f64 (.f64 #s(literal -1/64 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 z #s(literal 3 binary64))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 z #s(literal -1/8 binary64)) (cbrt.f64 (.f64 z #s(literal -1/8 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 z #s(literal -1/8 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 z (.f64 #s(literal -1/8 binary64) (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z))))
(.f64 (cbrt.f64 (pow.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 5/2 binary64))) (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 5/2 binary64))) (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 4 binary64))) (cbrt.f64 (*.f64 z #s(literal -1/8 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal -1/8 binary64) z)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 (*.f64 z #s(literal -1/8 binary64)) z)) (sqrt.f64 #s(literal -1/8 binary64)))
(.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 (.f64 z (*.f64 #s(literal -1/8 binary64) z))))
(.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 z #s(literal 1/64 binary64)))) (sqrt.f64 #s(literal -8 binary64)))
(.f64 (sqrt.f64 #s(literal -8 binary64)) (sqrt.f64 (.f64 (.f64 (.f64 z #s(literal 1/64 binary64)) z) #s(literal -1/8 binary64))))
(.f64 (sqrt.f64 #s(literal -8 binary64)) (sqrt.f64 (.f64 z (*.f64 #s(literal -1/512 binary64) z))))
(.f64 (sqrt.f64 #s(literal -8 binary64)) (sqrt.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1/512 binary64))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z #s(literal -1/8 binary64))) #s(literal 5 binary64))) (pow.f64 (*.f64 z #s(literal -1/8 binary64)) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/8 binary64) z)) #s(literal 5 binary64))))
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#s(literal 0 binary64)

eval35.0ms (0.7%)

Compiler: Compiled 1865 to 1587 computations (14.9% saved)

prune36.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	174	4	178
Fresh	0	0	0
Picked	2	0	2
Done	0	2	2
Total	176	6	182

Accuracy

100.0%

Counts

182 → 6

Alt Table

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Status	Accuracy	Program
	2.3%	(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal 1/8 binary64))
	50.9%	(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64))
	50.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
✓	100.0%	(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
✓	50.9%	(*.f64 #s(literal -1/8 binary64) z)
	2.7%	#s(literal 0 binary64)

Compiler

Compiled 103 to 84 computations (18.4% saved)

regimes590.0ms (12.4%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64))
(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal 1/8 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64)))
(-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

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

Calls

7 calls:

450.0ms	y
123.0ms	(*.f64 x y)
3.0ms	(/.f64 z #s(literal 8 binary64))
3.0ms	x
3.0ms	z

Results

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

Compiler

Compiled 44 to 33 computations (25% saved)

regimes11.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal -1/8 binary64) z)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64))
(/.f64 (*.f64 z #s(literal 1/64 binary64)) #s(literal 1/8 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal 1/64 binary64)) #s(literal -1/8 binary64)))
(-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))

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

Calls

3 calls:

5.0ms	y
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
50.9%	1	`x`
50.9%	1	`y`
50.9%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

0.0ms	z
0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
2.7%	1	`y`
2.7%	1	`x`
2.7%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
3×	`neg-sub0`
3×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	23	45
2	31	45
3	37	45
4	42	45
5	44	45

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
#s(literal 0 binary64)

Outputs
(-.f64 (*.f64 x (/.f64 y #s(literal 2 binary64))) (/.f64 z #s(literal 8 binary64)))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
#s(literal 0 binary64)

soundness493.0ms (10.4%)

Rules

1027×	`log1p-expm1-u`
661×	`fma-define`
484×	`expm1-log1p-u`
378×	`fma-neg`
327×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	103	31
2	919	31
0	41	398
1	83	342
2	171	330
3	373	330
4	780	330
5	1448	330
6	2207	330
7	2262	330
8	2268	330
9	2268	330
0	7	10
1	46	10
2	489	10
3	5810	10

Stop Event

1×	fuel
1×	node limit
1×	saturated
1×	node limit

Compiler

Compiled 85 to 69 computations (18.8% saved)

preprocess28.0ms (0.6%)

Remove: (sort x y)
Compiler: Compiled 128 to 96 computations (25% saved)

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

analyze0.0ms (0%)

sample921.0ms (19.4%)

preprocess108.0ms (2.3%)

explain82.0ms (1.7%)

eval3.0ms (0.1%)

prune1.0ms (0%)

localize79.0ms (1.7%)

series140.0ms (2.9%)

rewrite388.0ms (8.2%)

simplify184.0ms (3.9%)

eval97.0ms (2.1%)

prune71.0ms (1.5%)

localize30.0ms (0.6%)

series1.0ms (0%)

rewrite171.0ms (3.6%)

simplify68.0ms (1.4%)

eval6.0ms (0.1%)

prune6.0ms (0.1%)

localize257.0ms (5.4%)

series2.0ms (0%)

rewrite81.0ms (1.7%)

simplify189.0ms (4%)

eval60.0ms (1.3%)

prune38.0ms (0.8%)

localize117.0ms (2.5%)

series4.0ms (0.1%)

rewrite169.0ms (3.6%)

simplify271.0ms (5.7%)

eval35.0ms (0.7%)

prune36.0ms (0.8%)

regimes590.0ms (12.4%)

regimes11.0ms (0.2%)

regimes2.0ms (0%)

simplify3.0ms (0.1%)

soundness493.0ms (10.4%)

preprocess28.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	87
1	23	83
2	36	83
3	47	83
4	74	83
5	121	83
6	230	83
7	409	83
8	613	83
9	815	83
10	920	83
11	935	83
12	937	83

Iter	Nodes	Cost
0	15	87
1	23	83
2	36	83
3	47	83
4	74	83
5	121	83
6	230	83
7	409	83
8	613	83
9	815	83
10	920	83
11	935	83
12	937	83

Iter	Nodes	Cost
0	15	87
1	23	83
2	36	83
3	47	83
4	74	83
5	121	83
6	230	83
7	409	83
8	613	83
9	815	83
10	920	83
11	935	83
12	937	83