Metrics for Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, C

analyze53.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

Precisions

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

Operation ival-mult, time spent: 8.0ms, 40.0% of total-time

Operation ival-add, time spent: 6.0ms, 30.0% of total-time

Operation ival-sub, time spent: 3.0ms, 15.0% of total-time

Operation ival-div, time spent: 3.0ms, 15.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

sample1.3s (28.2%)

Results

899.0ms	6495×	valid
268.0ms	1760×	infinite
0.0ms	1×	valid

Precisions

Click to see histograms. Total time spent on operations: 394.0ms

Operation ival-mult, time spent: 157.0ms, 40.0% of total-time

Operation ival-add, time spent: 102.0ms, 26.0% of total-time

Operation ival-div, time spent: 69.0ms, 18.0% of total-time

Operation ival-sub, time spent: 44.0ms, 11.0% of total-time

Operation const, time spent: 18.0ms, 5.0% of total-time

Operation backward-pass, time spent: 5.0ms, 1.0% of total-time

Bogosity

preprocess278.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

699×	`div-sub`
374×	`fma-define`
258×	`associate-*r/`
246×	`sub-neg`
243×	`associate--r+`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`
0	-	-	`x`
0	-	-	`(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)`
0	-	-	`y`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
0	-	-	`(.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`z`
0	-	-	`#s(literal 1/4 binary64)`
0	-	-	`(*.f64 y #s(literal 1/4 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 x (*.f64 y #s(literal 1/4 binary64)))`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	591
1	144	491
2	439	459
3	1309	451
4	3926	388

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 (neg.f64 x) (.f64 y #s(literal 1/4 binary64))) z)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 (neg.f64 y) #s(literal 1/4 binary64))) z)) (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) (neg.f64 z))) y))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 (neg.f64 x) (.f64 y #s(literal 1/4 binary64))) z)) y)))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 (neg.f64 y) #s(literal 1/4 binary64))) z)) (neg.f64 y))))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) (neg.f64 z))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 y (.f64 x #s(literal 1/4 binary64))) z)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 z (.f64 y #s(literal 1/4 binary64))) x)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 z #s(literal 1/4 binary64))) y)) z))

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (-.f64 (.f64 y #s(literal 1/4 binary64)) z)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z #s(literal -4 binary64) (fma.f64 #s(literal 4 binary64) x y)) y))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (-.f64 (.f64 y #s(literal 1/4 binary64)) z)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 y #s(literal 1/4 binary64) x) z) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z #s(literal -4 binary64) (fma.f64 #s(literal 4 binary64) x y)) y))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 (neg.f64 x) (.f64 y #s(literal 1/4 binary64))) z)) y))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (+.f64 (neg.f64 x) (-.f64 (.f64 y #s(literal 1/4 binary64)) z))) y))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) x) z) y) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) x) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z #s(literal -4 binary64) (fma.f64 x #s(literal -4 binary64) y)) y))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (+.f64 x z)) y) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 (neg.f64 y) #s(literal 1/4 binary64))) z)) (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 (+.f64 x (.f64 #s(literal 1/4 binary64) (neg.f64 y))) z) (neg.f64 y))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (-.f64 (.f64 y #s(literal -1/4 binary64)) z)) y)))
(fma.f64 (-.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) z (fma.f64 x #s(literal -4 binary64) y)) y))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) (neg.f64 z))) y))
(fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x (fma.f64 #s(literal 4 binary64) z y)) y))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 x z)) #s(literal 2 binary64))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 (neg.f64 x) (.f64 y #s(literal 1/4 binary64))) z)) y)))
(+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 #s(literal 4 binary64) (+.f64 (neg.f64 x) (-.f64 (.f64 y #s(literal 1/4 binary64)) z))) y)))
(-.f64 #s(literal -1 binary64) (.f64 (-.f64 (-.f64 (.f64 y #s(literal 1/4 binary64)) x) z) (/.f64 #s(literal 4 binary64) y)))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) x) y) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z #s(literal -4 binary64) (fma.f64 x #s(literal -4 binary64) y)) y))
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (+.f64 x z)) y))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 (neg.f64 y) #s(literal 1/4 binary64))) z)) (neg.f64 y))))
(neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 (+.f64 x (.f64 #s(literal 1/4 binary64) (neg.f64 y))) z) (neg.f64 y)))))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (-.f64 (.f64 y #s(literal -1/4 binary64)) z)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) y) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) z (fma.f64 x #s(literal -4 binary64) y)) y))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) #s(literal -2 binary64))
(neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) (neg.f64 z))) y)))
(+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) (neg.f64 z))) y)))
(-.f64 #s(literal -1 binary64) (*.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (/.f64 #s(literal 4 binary64) y)))
(fma.f64 #s(literal -4 binary64) (/.f64 (+.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) y) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x (fma.f64 #s(literal 4 binary64) z y)) y))
(-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 x z)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 y (.f64 x #s(literal 1/4 binary64))) z)) x))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 x #s(literal 1/4 binary64) y) z) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z #s(literal -4 binary64) (fma.f64 #s(literal 4 binary64) y x)) x))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 z (.f64 y #s(literal 1/4 binary64))) x)) y))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 (+.f64 x (.f64 #s(literal 1/4 binary64) (neg.f64 y))) z) (neg.f64 y))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (-.f64 (.f64 y #s(literal -1/4 binary64)) z)) y)))
(fma.f64 (-.f64 x (fma.f64 y #s(literal 1/4 binary64) z)) (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) z (fma.f64 x #s(literal -4 binary64) y)) y))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 z #s(literal 1/4 binary64))) y)) z))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (+.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) z) y))) z))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) z x) y) z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -4 binary64) (fma.f64 #s(literal 4 binary64) x z)) z))

Compiler

Compiled 132 to 88 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

Operation ival-mult, time spent: 30.0ms, 44.0% of total-time

Operation ival-add, time spent: 17.0ms, 25.0% of total-time

Operation ival-sub, time spent: 10.0ms, 15.0% of total-time

Operation ival-div, time spent: 8.0ms, 12.0% of total-time

Operation const, time spent: 3.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 47 to 32 computations (31.9% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) #s(literal 2 binary64))
▶	99.2%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Status

Accuracy

Program

▶

99.8%

(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) #s(literal 2 binary64))

▶

99.2%

(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))

Compiler

Compiled 28 to 21 computations (25% saved)

localize113.0ms (2.5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
✓	100.0%	(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
✓	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
✓	99.2%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)

Compiler

Compiled 85 to 51 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

Operation ival-mult, time spent: 19.0ms, 39.0% of total-time

Operation ival-add, time spent: 11.0ms, 23.0% of total-time

Operation ival-div, time spent: 10.0ms, 21.0% of total-time

Operation ival-sub, time spent: 6.0ms, 12.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

series25.0ms (0.6%)

Counts

4 → 144

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))>
#<alt (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)>
#<alt (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))>

Outputs
#<alt (.f64 #s(literal 4 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) y) z) y))>
#<alt (+.f64 (.f64 #s(literal 4 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y)))>
#<alt (+.f64 (.f64 #s(literal 4 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y)))>
#<alt (+.f64 (.f64 #s(literal 4 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y)))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))>
#<alt (/.f64 (+.f64 y (*.f64 #s(literal 4 binary64) (-.f64 x z))) y)>
#<alt (/.f64 (+.f64 y (*.f64 #s(literal 4 binary64) (-.f64 x z))) y)>
#<alt (/.f64 (+.f64 y (*.f64 #s(literal 4 binary64) (-.f64 x z))) y)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)))>
#<alt (.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/4 binary64) y)) y))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (/.f64 z y)) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/4 binary64) y)) y)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (/.f64 z y)) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/4 binary64) y)) y)))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (/.f64 z y)) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/4 binary64) y)) y)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 z (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) z)) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)))))>
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#<alt (*.f64 #s(literal 4 binary64) (/.f64 x y))>
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#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)))>
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#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
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#<alt (-.f64 (+.f64 x (*.f64 #s(literal 1/4 binary64) y)) z)>
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#<alt x>
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#<alt (-.f64 (+.f64 x (*.f64 #s(literal 1/4 binary64) y)) z)>
#<alt (-.f64 (+.f64 x (*.f64 #s(literal 1/4 binary64) y)) z)>
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#<alt (*.f64 #s(literal 1/4 binary64) y)>
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#<alt (*.f64 y (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 x y)) (/.f64 z y)))>
#<alt (*.f64 #s(literal 1/4 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y)) #s(literal 1/4 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x z) y)) #s(literal 1/4 binary64))))>
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#<alt (*.f64 #s(literal -1 binary64) z)>
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#<alt (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))>
#<alt (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (+.f64 (.f64 #s(literal -4 binary64) (/.f64 z y)) (.f64 #s(literal 4 binary64) (/.f64 x y)))>
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#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
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#<alt (.f64 z (-.f64 (.f64 #s(literal 4 binary64) (/.f64 x (.f64 y z))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -4 binary64) (/.f64 x (.f64 y z))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -4 binary64) (/.f64 x (.f64 y z))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -4 binary64) (/.f64 x (.f64 y z))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) y)))))>

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(* (/ 4 y) (- x z))
1.0ms	y	@	-inf	(/ (* 4 (- (+ x (* y 1/4)) z)) y)
1.0ms	x	@	inf	(/ (* 4 (- (+ x (* y 1/4)) z)) y)
1.0ms	x	@	0	(/ (* 4 (- (+ x (* y 1/4)) z)) y)
1.0ms	x	@	-inf	(/ (* 4 (- (+ x (* y 1/4)) z)) y)

rewrite279.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1148×	`log1p-expm1-u`
762×	`expm1-log1p-u`
144×	`add-cube-cbrt`
142×	`add-exp-log`
142×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	148
1	310	132
2	4840	132

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))

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

simplify233.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

404×	`fma-neg`
330×	`distribute-lft-neg-in`
322×	`cancel-sign-sub-inv`
293×	`div-sub`
235×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	514	14411
1	1403	14002
2	4875	12233

Stop Event

1×	node limit

Counts

309 → 314

Calls

Call 1

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

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

eval105.0ms (2.3%)

Compiler: Compiled 5519 to 3668 computations (33.5% saved)

prune52.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	309	5	314
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	311	5	316

Accuracy

100.0%

Counts

316 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
▶	42.3%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
▶	39.8%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
▶	39.8%	(+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
▶	32.9%	#s(literal 2 binary64)

Compiler

Compiled 92 to 74 computations (19.6% saved)

localize169.0ms (3.7%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (/.f64 z y) #s(literal -4 binary64))
✓	99.6%	(*.f64 z (/.f64 #s(literal -4 binary64) y))

Compiler

Compiled 89 to 51 computations (42.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

Operation ival-mult, time spent: 55.0ms, 62.0% of total-time

Operation ival-div, time spent: 24.0ms, 27.0% of total-time

Operation ival-add, time spent: 5.0ms, 6.0% of total-time

Operation const, time spent: 3.0ms, 3.0% of total-time

Operation ival-sub, time spent: 2.0ms, 2.0% of total-time

series5.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (*.f64 z (/.f64 #s(literal -4 binary64) y))>
#<alt (*.f64 (/.f64 z y) #s(literal -4 binary64))>

Outputs
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>

Calls

12 calls:

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

rewrite83.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`unpow-prod-down`
581×	`log1p-expm1-u`
581×	`expm1-log1p-u`
504×	`pow1`
339×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	141	38
2	1618	38

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 z y) #s(literal -4 binary64))

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

simplify91.0ms (2%)

Algorithm

1×	egg-herbie

Rules

410×	`distribute-lft-neg-out`
405×	`prod-exp`
335×	`fma-define`
334×	`associate-/l*`
291×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	2538
1	218	2538
2	468	2538
3	1609	2538
4	4397	2538

Stop Event

1×	node limit

Counts

126 → 42

Calls

Call 1

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

Outputs
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
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eval11.0ms (0.2%)

Compiler: Compiled 448 to 341 computations (23.9% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	41	6	47

Accuracy

100.0%

Counts

47 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
✓	42.3%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
▶	39.7%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y z)))
✓	39.8%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
✓	39.8%	(+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
✓	32.9%	#s(literal 2 binary64)

Compiler

Compiled 56 to 45 computations (19.6% saved)

localize82.0ms (1.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.2%	(/.f64 #s(literal -4 binary64) (/.f64 y z))

Compiler

Compiled 23 to 13 computations (43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

Operation ival-div, time spent: 51.0ms, 96.0% of total-time

Operation ival-add, time spent: 1.0ms, 2.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

series1.0ms (0%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal -4 binary64) (/.f64 y z))>

Outputs
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 z y))>

Calls

6 calls:

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

rewrite152.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`log1p-expm1-u`
495×	`expm1-log1p-u`
486×	`unpow-prod-down`
477×	`add-exp-log`
438×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	101	19
2	1381	19

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

Inputs
(/.f64 #s(literal -4 binary64) (/.f64 y z))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 #s(literal -4 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 #s(literal -4 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 #s(literal -4 binary64) y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 z (/.f64 #s(literal -4 binary64) y)))
(.f64 (cbrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(.f64 (sqrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y))) (sqrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(*.f64 (/.f64 z y) (log.f64 (exp.f64 #s(literal -4 binary64))))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)) z)
(.f64 (.f64 (/.f64 #s(literal -4 binary64) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(.f64 (.f64 (/.f64 #s(literal -4 binary64) y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 y z)) #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 y z)) #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) (neg.f64 y)) (neg.f64 z))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 z (/.f64 #s(literal -4 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) (/.f64 z y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 z y)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) (cbrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)))))
(.f64 (pow.f64 (pow.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)))))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) y)) #s(literal 1/3 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 2 binary64)) (/.f64 z y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 y z) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(*.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (/.f64 z y))
(pow.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(pow.f64 (/.f64 (*.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (/.f64 #s(literal -4 binary64) y))))) (sqrt.f64 (log.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))))
(neg.f64 (/.f64 #s(literal 4 binary64) (/.f64 y z)))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 #s(literal -4 binary64) y)))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(exp.f64 (log.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y z) #s(literal -1/4 binary64))) #s(literal -1 binary64)))

simplify68.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

524×	`associate-/r*`
282×	`fma-neg`
273×	`associate-*r/`
270×	`distribute-lft-neg-out`
265×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	2042
1	320	2024
2	907	2000
3	3560	2000

Stop Event

1×	node limit

Counts

80 → 89

Calls

Call 1

Inputs
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(+.f64 #s(literal 0 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 #s(literal -4 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 #s(literal -4 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 #s(literal -4 binary64) y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) (log.f64 (E.f64)))
(.f64 #s(literal 1 binary64) (.f64 z (/.f64 #s(literal -4 binary64) y)))
(.f64 (cbrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(.f64 (sqrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y))) (sqrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(*.f64 (/.f64 z y) (log.f64 (exp.f64 #s(literal -4 binary64))))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)) z)
(.f64 (.f64 (/.f64 #s(literal -4 binary64) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(.f64 (.f64 (/.f64 #s(literal -4 binary64) y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 (/.f64 y z)) #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 y z)) #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) (neg.f64 y)) (neg.f64 z))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 z (/.f64 #s(literal -4 binary64) y)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) (/.f64 z y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal -4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 z y)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) (cbrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)))))
(.f64 (pow.f64 (pow.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)))))
(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)) (/.f64 #s(literal -4 binary64) y)) #s(literal 1/3 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 2 binary64)) (/.f64 z y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 y z) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(*.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (/.f64 z y))
(pow.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(pow.f64 (/.f64 (*.f64 (/.f64 y z) #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (/.f64 #s(literal -4 binary64) y))))) (sqrt.f64 (log.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))))
(neg.f64 (/.f64 #s(literal 4 binary64) (/.f64 y z)))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 #s(literal -4 binary64) y)))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(exp.f64 (log.f64 (*.f64 z (/.f64 #s(literal -4 binary64) y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (/.f64 #s(literal -4 binary64) y)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y z) #s(literal -1/4 binary64))) #s(literal -1 binary64)))

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

eval38.0ms (0.8%)

Compiler: Compiled 1271 to 925 computations (27.2% saved)

prune62.0ms (1.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	89	6	95

Accuracy

100.0%

Counts

95 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
✓	42.3%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
✓	39.7%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y z)))
✓	39.8%	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
✓	39.8%	(+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
✓	32.9%	#s(literal 2 binary64)

Compiler

Compiled 119 to 89 computations (25.2% saved)

regimes28.0ms (0.6%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) #s(literal 2 binary64))
(+.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Outputs
(+.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))

Calls

5 calls:

8.0ms	x
6.0ms	z
5.0ms	y
5.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y))`
100.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (.f64 y #s(literal 1/4 binary64))) z)) y)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes38.0ms (0.8%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) #s(literal 2 binary64))

Outputs
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) #s(literal 2 binary64))

Calls

3 calls:

30.0ms	y
4.0ms	x
4.0ms	z

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes36.0ms (0.8%)

Counts

5 → 5

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) x) y))

Calls

3 calls:

13.0ms	z
13.0ms	y
10.0ms	x

Results

Accuracy	Segments	Branch
63.7%	5	`x`
60.8%	5	`y`
65.6%	7	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes23.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (/.f64 y z)))

Outputs
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
#s(literal 2 binary64)

Calls

3 calls:

9.0ms	y
8.0ms	z
6.0ms	x

Results

Accuracy	Segments	Branch
56.1%	3	`y`
55.8%	3	`z`
42.4%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))

Outputs
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y)))
#s(literal 2 binary64)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
56.1%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

3 calls:

3.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
32.9%	1	`x`
32.9%	1	`z`
32.9%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch194.0ms (4.3%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	2.4372967461002933e-39	3.230014655034554e-37
22.0ms	-1.5103096850811912e-203	-4.6016792056116016e-206
138.0ms	-1.4876559246792535e-72	-1.8136537693932928e-75
17.0ms	-9.655258983729764e+23	-1.8839013776718588e+23

Results

57.0ms	409×	valid
7.0ms	54×	infinite
0.0ms	1×	valid

Compiler

Compiled 564 to 475 computations (15.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

Operation ival-mult, time spent: 11.0ms, 42.0% of total-time

Operation ival-div, time spent: 6.0ms, 23.0% of total-time

Operation ival-add, time spent: 5.0ms, 19.0% of total-time

Operation ival-sub, time spent: 3.0ms, 11.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

bsearch111.0ms (2.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
83.0ms	1.2614632017366188e+38	8.864426328853276e+39
27.0ms	-2.513616577401138e+89	-2.022333505494631e+69

Results

37.0ms	287×	0	valid
0.0ms	1×	0	valid

Compiler

Compiled 310 to 269 computations (13.2% saved)

Precisions

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

Operation ival-mult, time spent: 4.0ms, 33.0% of total-time

Operation ival-add, time spent: 3.0ms, 25.0% of total-time

Operation ival-sub, time spent: 2.0ms, 16.0% of total-time

Operation ival-div, time spent: 2.0ms, 16.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

bsearch96.0ms (2.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.2614632017366188e+38	8.864426328853276e+39
79.0ms	-2.513616577401138e+89	-2.022333505494631e+69

Results

88.0ms	287×	0	valid
0.0ms	1×	0	valid

Compiler

Compiled 310 to 269 computations (13.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

Operation ival-add, time spent: 56.0ms, 86.0% of total-time

Operation ival-mult, time spent: 4.0ms, 6.0% of total-time

Operation ival-sub, time spent: 2.0ms, 3.0% of total-time

Operation ival-div, time spent: 2.0ms, 3.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative`
6×	`*-commutative`
4×	`if-if-or-not`
3×	`1-exp`
2×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	320
1	83	320
2	87	320
3	89	320
4	90	320

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) #s(literal 2 binary64))
(if (<=.f64 x #s(literal -249999999999999995805696 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) x) y)) (if (<=.f64 x #s(literal -4933446505185083/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 z y) #s(literal -4 binary64))) (if (<=.f64 x #s(literal -4348981496410655/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(literal 2 binary64) (if (<=.f64 x #s(literal 838083498911033/2993155353253689176481146537402947624255349848014848 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 z y) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) x) y))))))
(if (<=.f64 y #s(literal -110000000000000001609376475374236033406704728665112056520647186588677600067626303750144 binary64)) #s(literal 2 binary64) (if (<=.f64 y #s(literal 8200000000000000079854928564094922391552 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -1520000000000000045820395725632469366845665936537126235815115948779848563949568 binary64)) #s(literal 2 binary64) (if (<=.f64 y #s(literal 949999999999999950279494425614451998720 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)))
#s(literal 2 binary64)

Outputs
(+.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)))
(if (<=.f64 x #s(literal -249999999999999995805696 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) x) y)) (if (<=.f64 x #s(literal -4933446505185083/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 z y) #s(literal -4 binary64))) (if (<=.f64 x #s(literal -4348981496410655/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(literal 2 binary64) (if (<=.f64 x #s(literal 838083498911033/2993155353253689176481146537402947624255349848014848 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 z y) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) x) y))))))
(if (<=.f64 x #s(literal -249999999999999995805696 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 4 binary64)) y)) (if (<=.f64 x #s(literal -4933446505185083/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 z y) #s(literal -4 binary64))) (if (<=.f64 x #s(literal -4348981496410655/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(literal 2 binary64) (if (<=.f64 x #s(literal 838083498911033/2993155353253689176481146537402947624255349848014848 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 z y) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 4 binary64)) y))))))
(if (<=.f64 y #s(literal -110000000000000001609376475374236033406704728665112056520647186588677600067626303750144 binary64)) #s(literal 2 binary64) (if (<=.f64 y #s(literal 8200000000000000079854928564094922391552 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal -1520000000000000045820395725632469366845665936537126235815115948779848563949568 binary64)) #s(literal 2 binary64) (if (<=.f64 y #s(literal 949999999999999950279494425614451998720 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal -4 binary64) y))) #s(literal 2 binary64)))
#s(literal 2 binary64)

Compiler

Compiled 116 to 89 computations (23.3% saved)

soundness486.0ms (10.7%)

Rules

1148×	`log1p-expm1-u`
762×	`expm1-log1p-u`
699×	`div-sub`
404×	`fma-neg`
374×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	514	14411
1	1403	14002
2	4875	12233
0	21	148
1	310	132
2	4840	132
0	57	591
1	144	491
2	439	459
3	1309	451
4	3926	388

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 388 to 261 computations (32.7% saved)

end0.0ms (0%)

preprocess278.0ms (6.1%)

Compiler: Compiled 234 to 168 computations (28.2% saved)

analyze53.0ms (1.2%)

sample1.3s (28.2%)

preprocess278.0ms (6.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize113.0ms (2.5%)

series25.0ms (0.6%)

rewrite279.0ms (6.1%)

simplify233.0ms (5.1%)

eval105.0ms (2.3%)

prune52.0ms (1.1%)

localize169.0ms (3.7%)

series5.0ms (0.1%)

rewrite83.0ms (1.8%)

simplify91.0ms (2%)

eval11.0ms (0.2%)

prune8.0ms (0.2%)

localize82.0ms (1.8%)

series1.0ms (0%)

rewrite152.0ms (3.3%)

simplify68.0ms (1.5%)

eval38.0ms (0.8%)

prune62.0ms (1.4%)

regimes28.0ms (0.6%)

regimes38.0ms (0.8%)

regimes36.0ms (0.8%)

regimes23.0ms (0.5%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch194.0ms (4.3%)

bsearch111.0ms (2.4%)

bsearch96.0ms (2.1%)

simplify60.0ms (1.3%)

soundness486.0ms (10.7%)

end0.0ms (0%)

preprocess278.0ms (6.1%)

Profiling