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

analyze75.0ms (1%)

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
0%	0%	99.9%	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
50%	49.9%	49.9%	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
75%	74.9%	25%	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
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions

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

Operation ival-mult, time spent: 12.0ms, 46.0% of total-time

Operation ival-sub, time spent: 9.0ms, 35.0% of total-time

Operation ival-div, time spent: 3.0ms, 12.0% of total-time

Operation const, time spent: 2.0ms, 8.0% of total-time

sample2.3s (31.4%)

Results

1.8s	6554×	256	valid
391.0ms	1701×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 661.0ms

Operation ival-mult, time spent: 272.0ms, 41.0% of total-time

Operation ival-sub, time spent: 213.0ms, 32.0% of total-time

Operation ival-div, time spent: 141.0ms, 21.0% of total-time

Operation const, time spent: 35.0ms, 5.0% of total-time

Bogosity

preprocess405.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

516×	`fma-define`
492×	`times-frac`
403×	`div-sub`
366×	`sub-neg`
279×	`distribute-rgt-in`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	513
1	142	481
2	438	437
3	1735	374
4	6434	374

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 98 to 56 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

Operation ival-mult, time spent: 45.0ms, 55.0% of total-time

Operation ival-sub, time spent: 23.0ms, 28.0% of total-time

Operation ival-div, time spent: 9.0ms, 11.0% of total-time

Operation const, time spent: 6.0ms, 7.0% of total-time

eval2.0ms (0%)

Compiler: Compiled 53 to 33 computations (37.7% saved)

prune4.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
▶	99.8%	(.f64 (-.f64 x (+.f64 y (.f64 z #s(literal 1/2 binary64)))) (/.f64 #s(literal 4 binary64) z))
▶	100.0%	(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (-.f64 y x) z) #s(literal -1/2 binary64)))

Status

Accuracy

Program

▶

99.6%

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

▶

99.8%

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

▶

100.0%

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

Compiler

Compiled 40 to 29 computations (27.5% saved)

localize324.0ms (4.4%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)
✓	99.8%	(.f64 (-.f64 x (+.f64 y (.f64 z #s(literal 1/2 binary64)))) (/.f64 #s(literal 4 binary64) z))
✓	100.0%	(/.f64 (-.f64 y x) z)
✓	100.0%	(-.f64 (/.f64 (-.f64 y x) z) #s(literal -1/2 binary64))

Compiler

Compiled 105 to 53 computations (49.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

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

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

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

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

Operation const, time spent: 6.0ms, 6.0% of total-time

series43.0ms (0.6%)

Counts

4 → 132

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(/ (* 4 (- (- x y) (* z 1/2))) z)
3.0ms	y	@	-inf	(* (- x (+ y (* z 1/2))) (/ 4 z))
2.0ms	x	@	0	(/ (- y x) z)
1.0ms	y	@	-inf	(- (/ (- y x) z) -1/2)
1.0ms	x	@	0	(* (- x (+ y (* z 1/2))) (/ 4 z))

rewrite451.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`log1p-expm1-u`
176×	`add-cube-cbrt`
176×	`expm1-log1p-u`
173×	`add-exp-log`
173×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	136
1	401	128
2	6156	128

Stop Event

1×	node limit

Counts

4 → 195

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y x) z))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 z (-.f64 y x)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y x) z) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 z (-.f64 y x))))) (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 z (-.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (+.f64 (/.f64 (-.f64 y x) z) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (-.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 z (-.f64 y x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal -1/2 binary64))))
(pow.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 1/2 binary64))
(+.f64 (/.f64 y z) (neg.f64 (/.f64 x z)))
(-.f64 (/.f64 y z) (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) z))) #s(literal 1 binary64))
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z))
(*.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) (sqrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (-.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (-.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 y x) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 z)))
(pow.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z (-.f64 y x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 y x) (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 (-.f64 y x)) z))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 y x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 y x) z))))
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(*.f64 (/.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (sqrt.f64 z)) (/.f64 #s(literal 4 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 z)) (/.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 4 binary64)) (cbrt.f64 z)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 4 binary64)) (sqrt.f64 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 4 binary64))) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 4 binary64))) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 4 binary64))) (sqrt.f64 z)))
(.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) z))
(.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 z)))
(.f64 (.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (cbrt.f64 (/.f64 #s(literal 16 binary64) (pow.f64 z #s(literal 2 binary64))))) (cbrt.f64 (/.f64 #s(literal 4 binary64) z)))
(.f64 (.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 2 binary64) (sqrt.f64 z))) (/.f64 #s(literal 2 binary64) (sqrt.f64 z)))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) z) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))
(.f64 (.f64 (/.f64 #s(literal 4 binary64) z) (sqrt.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))) (sqrt.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))
(pow.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 z #s(literal 1/4 binary64)) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 4 binary64)) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal -4 binary64)) z))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 4 binary64) z)) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) z) #s(literal 3 binary64)) (pow.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z))))
(exp.f64 (log.f64 (*.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)) (/.f64 #s(literal 4 binary64) z))) #s(literal 1 binary64)))

eval173.0ms (2.4%)

Compiler: Compiled 5020 to 3013 computations (40% saved)

prune68.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	320	7	327
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	322	8	330

Accuracy

100.0%

Counts

330 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (-.f64 x (+.f64 y (.f64 z #s(literal 1/2 binary64)))) (/.f64 #s(literal 4 binary64) z))
	64.7%	(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
▶	35.3%	(*.f64 #s(literal 4 binary64) (/.f64 x z))
	68.7%	(.f64 #s(literal -4 binary64) (/.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) z)) z))
▶	34.0%	(*.f64 #s(literal -4 binary64) (/.f64 y z))
▶	68.7%	(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) #s(literal -1/2 binary64)))
▶	69.0%	(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 x z)))
▶	35.9%	#s(literal -2 binary64)

Compiler

Compiled 138 to 106 computations (23.2% saved)

localize158.0ms (2.2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 y z) #s(literal -1/2 binary64))
✓	100.0%	(*.f64 #s(literal 4 binary64) (/.f64 x z))
✓	100.0%	(*.f64 #s(literal -4 binary64) (/.f64 y z))

Compiler

Compiled 65 to 29 computations (55.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

Operation ival-mult, time spent: 15.0ms, 38.0% of total-time

Operation ival-sub, time spent: 11.0ms, 28.0% of total-time

Operation ival-div, time spent: 9.0ms, 23.0% of total-time

Operation const, time spent: 4.0ms, 10.0% of total-time

series14.0ms (0.2%)

Counts

3 → 24

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite146.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`log1p-expm1-u`
1012×	`expm1-log1p-u`
535×	`log-prod`
172×	`expm1-undefine`
172×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	198	57
2	2681	57

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

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

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

eval109.0ms (1.5%)

Compiler: Compiled 1306 to 822 computations (37.1% saved)

prune34.0ms (0.5%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	124	9	133

Accuracy

100.0%

Counts

133 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.8%	(/.f64 #s(literal -4 binary64) (/.f64 z y))
✓	99.8%	(.f64 (-.f64 x (+.f64 y (.f64 z #s(literal 1/2 binary64)))) (/.f64 #s(literal 4 binary64) z))
▶	64.7%	(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
✓	35.3%	(*.f64 #s(literal 4 binary64) (/.f64 x z))
▶	68.7%	(.f64 #s(literal -4 binary64) (/.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) z)) z))
✓	34.0%	(*.f64 #s(literal -4 binary64) (/.f64 y z))
✓	68.7%	(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) #s(literal -1/2 binary64)))
✓	69.0%	(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 x z)))
✓	35.9%	#s(literal -2 binary64)

Compiler

Compiled 84 to 64 computations (23.8% saved)

localize167.0ms (2.3%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.2%	(/.f64 #s(literal -4 binary64) (/.f64 z y))
✓	100.0%	(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
✓	100.0%	(/.f64 (-.f64 x y) z)
✓	100.0%	(/.f64 (+.f64 y (*.f64 #s(literal 1/2 binary64) z)) z)

Compiler

Compiled 62 to 30 computations (51.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

Operation ival-mult, time spent: 22.0ms, 37.0% of total-time

Operation ival-div, time spent: 18.0ms, 30.0% of total-time

Operation ival-sub, time spent: 8.0ms, 14.0% of total-time

Operation ival-add, time spent: 8.0ms, 14.0% of total-time

Operation const, time spent: 3.0ms, 5.0% of total-time

series33.0ms (0.4%)

Counts

4 → 93

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
8.0ms	z	@	inf	(/ (- x y) z)
5.0ms	z	@	-inf	(/ (+ y (* 1/2 z)) z)
1.0ms	x	@	0	(/ (- x y) z)
1.0ms	z	@	-inf	(/ (- x y) z)
1.0ms	z	@	0	(/ (- x y) z)

rewrite190.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1043×	`log1p-expm1-u`
1043×	`expm1-log1p-u`
217×	`fma-neg`
128×	`add-cube-cbrt`
127×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	275	93
2	4274	93

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

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

eval209.0ms (2.8%)

Compiler: Compiled 2481 to 1327 computations (46.5% saved)

prune161.0ms (2.2%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	230	2	232
Fresh	0	0	0
Picked	0	3	3
Done	1	5	6
Total	231	10	241

Accuracy

100.0%

Counts

241 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.8%	(/.f64 #s(literal -4 binary64) (/.f64 z y))
▶	33.9%	(*.f64 (/.f64 #s(literal -4 binary64) z) y)
✓	64.7%	(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
✓	35.3%	(*.f64 #s(literal 4 binary64) (/.f64 x z))
▶	62.7%	(*.f64 #s(literal 4 binary64) (-.f64 (/.f64 x z) (/.f64 y z)))
✓	68.7%	(.f64 #s(literal -4 binary64) (/.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) z)) z))
✓	34.0%	(*.f64 #s(literal -4 binary64) (/.f64 y z))
✓	68.7%	(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) #s(literal -1/2 binary64)))
✓	69.0%	(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 x z)))
✓	35.9%	#s(literal -2 binary64)

Compiler

Compiled 90 to 68 computations (24.4% saved)

localize365.0ms (5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 (/.f64 #s(literal -4 binary64) z) y)
✓	100.0%	(*.f64 #s(literal 4 binary64) (-.f64 (/.f64 x z) (/.f64 y z)))
✓	98.3%	(-.f64 (/.f64 x z) (/.f64 y z))

Compiler

Compiled 41 to 16 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 298.0ms

Operation ival-div, time spent: 286.0ms, 96.0% of total-time

Operation ival-mult, time spent: 7.0ms, 2.0% of total-time

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

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

series15.0ms (0.2%)

Counts

3 → 93

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite272.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`log1p-expm1-u`
806×	`expm1-log1p-u`
636×	`log-prod`
362×	`fma-define`
215×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	69
1	221	69
2	3405	69

Stop Event

1×	node limit

Counts

3 → 217

Calls

Call 1

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

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

eval142.0ms (1.9%)

Compiler: Compiled 4483 to 1954 computations (56.4% saved)

prune83.0ms (1.1%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	310	0	310
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	310	10	320

Accuracy

100.0%

Counts

320 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.8%	(/.f64 #s(literal -4 binary64) (/.f64 z y))
✓	33.9%	(*.f64 (/.f64 #s(literal -4 binary64) z) y)
✓	64.7%	(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z))
✓	35.3%	(*.f64 #s(literal 4 binary64) (/.f64 x z))
✓	62.7%	(*.f64 #s(literal 4 binary64) (-.f64 (/.f64 x z) (/.f64 y z)))
✓	68.7%	(.f64 #s(literal -4 binary64) (/.f64 (+.f64 y (.f64 #s(literal 1/2 binary64) z)) z))
✓	34.0%	(*.f64 #s(literal -4 binary64) (/.f64 y z))
✓	68.7%	(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 y z) #s(literal -1/2 binary64)))
✓	69.0%	(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 x z)))
✓	35.9%	#s(literal -2 binary64)

Compiler

Compiled 184 to 124 computations (32.6% saved)

regimes57.0ms (0.8%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	x
10.0ms	(-.f64 x y)
10.0ms	z
8.0ms	y
6.0ms	(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(/.f64 (.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (.f64 z #s(literal 1/2 binary64)))) z)`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes80.0ms (1.1%)

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

25.0ms	(-.f64 x y)
22.0ms	y
16.0ms	z
15.0ms	x

Results

Accuracy	Segments	Branch
87.7%	3	`x`
87.4%	3	`y`
87.7%	3	`z`
86.8%	4	`(-.f64 x y)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes36.0ms (0.5%)

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

20.0ms	z
15.0ms	x

Results

Accuracy	Segments	Branch
87.7%	3	`x`
79.2%	6	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes32.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
82.8%	3	`y`
74.7%	5	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes56.0ms (0.8%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	y
17.0ms	z
16.0ms	x

Results

Accuracy	Segments	Branch
61.1%	6	`x`
63.4%	7	`z`
66.7%	13	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
7.0ms	z

Results

Accuracy	Segments	Branch
42.1%	4	`x`
54.6%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (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:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
35.9%	1	`x`
35.9%	1	`y`
35.9%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch76.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	1.447354232048581e+62	1.4158733115496596e+66
40.0ms	-6511.9212403149695	-7.102094160938371e-5

Results

60.0ms	271×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 394 to 304 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

Operation ival-mult, time spent: 7.0ms, 38.0% of total-time

Operation ival-sub, time spent: 6.0ms, 33.0% of total-time

Operation ival-div, time spent: 4.0ms, 22.0% of total-time

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

bsearch224.0ms (3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
185.0ms	1.72383196613425e+97	1.113778703777861e+99
39.0ms	-2.443075063572734e+45	-3.2879325281353295e+30

Results

45.0ms	221×	256	valid
10.0ms	50×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 394 to 321 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

Operation ival-mult, time spent: 7.0ms, 39.0% of total-time

Operation ival-sub, time spent: 6.0ms, 34.0% of total-time

Operation ival-div, time spent: 4.0ms, 22.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

bsearch56.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	8.533903448234592e+62	1.6551625528257982e+66
19.0ms	-8.91527318587727e+187	-3.043291679486973e+187

Results

32.0ms	158×	256	valid
15.0ms	49×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 280 to 223 computations (20.4% saved)

Precisions

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

Operation ival-mult, time spent: 6.0ms, 43.0% of total-time

Operation ival-sub, time spent: 5.0ms, 36.0% of total-time

Operation ival-div, time spent: 3.0ms, 22.0% of total-time

Operation const, time spent: 1.0ms, 7.0% of total-time

bsearch179.0ms (2.4%)

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
34.0ms	1.447354232048581e+62	1.4158733115496596e+66
23.0ms	3.5655650136705905e-155	2.6016091166597147e-154
30.0ms	6.5442156142414995e-189	1.6481411662788503e-187
27.0ms	1.7006533949412866e-234	1.7102219331080785e-233
27.0ms	-1.1024750495114656e-180	-2.5317528292860346e-182
37.0ms	-1.491125141958395e-26	-1.854285616646983e-30

Results

105.0ms	449×	256	valid
45.0ms	222×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 712 to 571 computations (19.8% saved)

Precisions

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

Operation ival-mult, time spent: 22.0ms, 46.0% of total-time

Operation ival-sub, time spent: 14.0ms, 29.0% of total-time

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

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

bsearch77.0ms (1%)

Algorithm

2×	binary-search

Stop Event

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

Steps

Time	Left	Right
30.0ms	1.447354232048581e+62	1.4158733115496596e+66
35.0ms	-1.491125141958395e-26	-1.854285616646983e-30

Results

49.0ms	242×	256	valid
3.0ms	13×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 424 to 334 computations (21.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

Operation ival-mult, time spent: 7.0ms, 42.0% of total-time

Operation ival-sub, time spent: 5.0ms, 30.0% of total-time

Operation ival-div, time spent: 4.0ms, 24.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

soundness308.0ms (4.2%)

Rules

516×	`fma-define`
492×	`times-frac`
403×	`div-sub`
366×	`sub-neg`
279×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	513
1	142	481
2	438	437
3	1735	374
4	6434	374

Stop Event

1×	node limit

Compiler

Compiled 314 to 174 computations (44.6% saved)

end0.0ms (0%)

preprocess203.0ms (2.8%)

Compiler: Compiled 384 to 248 computations (35.4% saved)

analyze75.0ms (1%)

sample2.3s (31.4%)

preprocess405.0ms (5.5%)

eval2.0ms (0%)

prune4.0ms (0.1%)

localize324.0ms (4.4%)

series43.0ms (0.6%)

rewrite451.0ms (6.1%)

eval173.0ms (2.4%)

prune68.0ms (0.9%)

localize158.0ms (2.2%)

series14.0ms (0.2%)

rewrite146.0ms (2%)

eval109.0ms (1.5%)

prune34.0ms (0.5%)

localize167.0ms (2.3%)

series33.0ms (0.4%)

rewrite190.0ms (2.6%)

eval209.0ms (2.8%)

prune161.0ms (2.2%)

localize365.0ms (5%)

series15.0ms (0.2%)

rewrite272.0ms (3.7%)

eval142.0ms (1.9%)

prune83.0ms (1.1%)

regimes57.0ms (0.8%)

regimes80.0ms (1.1%)

regimes36.0ms (0.5%)

regimes32.0ms (0.4%)

regimes56.0ms (0.8%)

regimes17.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch76.0ms (1%)

bsearch224.0ms (3%)

bsearch56.0ms (0.8%)

bsearch179.0ms (2.4%)

bsearch77.0ms (1%)

soundness308.0ms (4.2%)

end0.0ms (0%)

preprocess203.0ms (2.8%)

Profiling