Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, B

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.1s (19.1%)

Samples

899.0ms	5 747×	0	valid
394.0ms	1 620×	1	valid
387.0ms	889×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 598.0ms (49.9% of total)

ival-sub: 446.0ms (37.2% of total)

adjust: 90.0ms (7.5% of total)

ival-add: 54.0ms (4.5% of total)

ival-true: 7.0ms (0.6% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

preprocess189.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

906×	`fmm-def`
816×	`sub-neg`
339×	`distribute-lft-out`
329×	`distribute-lft-neg-in`
285×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	761
1	190	324
2	620	250
3	2072	250
4	5859	250
5	7332	250
6	7793	250

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (-.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y)))
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)) (.f64 y y))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y z)) (.f64 y y)) (.f64 y y)))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)) (.f64 y y)))
(+.f64 (-.f64 (-.f64 (.f64 y x) (.f64 x z)) (.f64 x x)) (.f64 x x))
(+.f64 (-.f64 (-.f64 (.f64 z y) (.f64 y x)) (.f64 y y)) (.f64 y y))
(+.f64 (-.f64 (-.f64 (.f64 x z) (.f64 z y)) (.f64 z z)) (.f64 z z))

Outputs
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (.f64 x y) (+.f64 (.f64 y z) (.f64 y y))))
(+.f64 (*.f64 y (-.f64 x z)) #s(literal 0 binary64))
(*.f64 y (-.f64 x z))
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (.f64 x y) (+.f64 (.f64 y z) (.f64 y y))))
(+.f64 (*.f64 y (-.f64 x z)) #s(literal 0 binary64))
(*.f64 y (-.f64 x z))
(+.f64 (-.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 y z)) (.f64 y y)))
(+.f64 (*.f64 (neg.f64 y) (+.f64 x z)) #s(literal 0 binary64))
(*.f64 (neg.f64 y) (+.f64 x z))
(*.f64 y (-.f64 (neg.f64 z) x))
(+.f64 (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y)))
(+.f64 (.f64 y y) (-.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 y z)) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 z x)) #s(literal 0 binary64))
(*.f64 y (-.f64 z x))
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 x (neg.f64 z))) #s(literal 0 binary64))
(*.f64 y (+.f64 x z))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y z)) (.f64 y y)) (.f64 y y)))
(+.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 x (neg.f64 z))) #s(literal 0 binary64))
(*.f64 y (+.f64 x z))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y))))
(+.f64 (.f64 y y) (-.f64 (.f64 x y) (+.f64 (.f64 y z) (.f64 y y))))
(+.f64 (*.f64 y (-.f64 x z)) #s(literal 0 binary64))
(*.f64 y (-.f64 x z))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)) (.f64 y y)))
(+.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 y z)) (.f64 y y)))
(+.f64 (*.f64 (neg.f64 y) (+.f64 x z)) #s(literal 0 binary64))
(*.f64 (neg.f64 y) (+.f64 x z))
(*.f64 y (-.f64 (neg.f64 z) x))
(+.f64 (-.f64 (-.f64 (.f64 y x) (.f64 x z)) (.f64 x x)) (.f64 x x))
(+.f64 (.f64 x x) (-.f64 (-.f64 (.f64 x y) (.f64 x z)) (.f64 x x)))
(+.f64 (*.f64 x (-.f64 y z)) #s(literal 0 binary64))
(*.f64 x (-.f64 y z))
(+.f64 (-.f64 (-.f64 (.f64 z y) (.f64 y x)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 y z)) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 z x)) #s(literal 0 binary64))
(*.f64 y (-.f64 z x))
(+.f64 (-.f64 (-.f64 (.f64 x z) (.f64 z y)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (-.f64 (.f64 x z) (+.f64 (.f64 y z) (.f64 z z))))
(+.f64 (*.f64 z (-.f64 x y)) #s(literal 0 binary64))
(*.f64 z (-.f64 x y))

Symmetry

(negabs y)

explain367.0ms (3.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
87	1	(-1.101137990638599e-165 1.4344923411805864e-155 9.725464043557367e-224)	-	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
18	0	-	-	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`
3	0	-	-	`(-.f64 (.f64 x y) (.f64 y z))`
0	0	-	-	`z`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`y`
0	0	-	-	`(*.f64 y y)`
0	0	-	-	`(*.f64 y z)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`	nan-rescue	56	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	46
↳	`(*.f64 y z)`	overflow	29
↳	`(*.f64 x y)`	overflow	29
↳	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	overflow	71
↳	`(*.f64 y y)`	overflow	61
↳	`(*.f64 y y)`	overflow	61
`+.f64`	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`	cancellation	32	0
`-.f64`	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`	nan-rescue	18	0
↳	`(-.f64 (.f64 x y) (.f64 y z))`	overflow	46
↳	`(*.f64 y z)`	overflow	29
↳	`(*.f64 x y)`	overflow	29
↳	`(*.f64 y y)`	overflow	61
`-.f64`	`(-.f64 (.f64 x y) (.f64 y z))`	nan-rescue	3	0
↳	`(*.f64 x y)`	overflow	29
↳	`(*.f64 y z)`	overflow	29

Confusion

	Predicted +	Predicted -
+	92	0
-	1	163

Precision

0.989247311827957

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	0
-	1	0	163

Precision?

0.989247311827957

Recall?

1.0

Freqs

test

number	freq
0	163
1	78
2	14
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms	362×	0	valid
33.0ms	66×	2	valid
13.0ms	84×	1	valid

Compiler

Compiled 130 to 40 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 16.0ms (51.6% of total)

ival-sub: 6.0ms (19.3% of total)

adjust: 4.0ms (12.9% of total)

ival-add: 3.0ms (9.7% of total)

ival-true: 1.0ms (3.2% of total)

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

eval0.0ms (0%)

Compiler: Compiled 30 to 13 computations (56.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
▶	100.0%	(*.f64 y (-.f64 x z))

Compiler

Compiled 26 to 14 computations (46.2% saved)

simplify213.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(-.f64 (.f64 x y) (.f64 y z))
✓	cost-diff	256	(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
✓	cost-diff	640	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(*.f64 y (-.f64 x z))

Rules

577×	`sub-neg`
566×	`distribute-lft-out`
539×	`distribute-lft-out--`
449×	`*-commutative`
440×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	191
1	39	182
2	101	173
3	268	173
4	801	173
5	3437	173
6	4925	173
7	5516	173
8	5767	173
9	5880	173
10	5924	173
11	7179	173
12	7389	173
13	7593	173
14	7593	173

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 y (-.f64 x z))
y
(-.f64 x z)
x
z
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
(-.f64 (.f64 x y) (.f64 y z))
(*.f64 x y)
x
y
(*.f64 y z)
z
(*.f64 y y)

Outputs
(*.f64 y (-.f64 x z))
y
(-.f64 x z)
x
z
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(*.f64 y (-.f64 x z))
(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
(-.f64 (.f64 y x) (+.f64 (.f64 y z) (*.f64 y y)))
(-.f64 (.f64 y x) (.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (-.f64 x z) y))
(*.f64 y (-.f64 x (+.f64 y z)))
(-.f64 (.f64 x y) (.f64 y z))
(*.f64 y (-.f64 x z))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 y z)
z
(*.f64 y y)

localize159.0ms (1.4%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.9%	(-.f64 (.f64 x y) (.f64 y z))
✓	accuracy	93.4%	(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
✓	accuracy	68.0%	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 y (-.f64 x z))

Samples

117.0ms	42×	1	valid
20.0ms	181×	0	valid
10.0ms	33×	2	valid

Compiler

Compiled 58 to 13 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-add: 105.0ms (86.7% of total)

ival-mult: 8.0ms (6.6% of total)

ival-sub: 5.0ms (4.1% of total)

adjust: 3.0ms (2.5% of total)

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

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

series110.0ms (1%)

Counts

6 → 150

Calls

Call 1

Inputs
#<alt (*.f64 y (-.f64 x z))>
#<alt (-.f64 x z)>
#<alt (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))>
#<alt (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))>
#<alt (-.f64 (.f64 x y) (.f64 y z))>
#<alt (*.f64 x y)>

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

Calls

48 calls:

Time	Variable		Point	Expression
95.0ms	z	@	0	(- (- (* x y) (* y z)) (* y y))
1.0ms	x	@	inf	(+ (- (- (* x y) (* y z)) (* y y)) (* y y))
1.0ms	x	@	-inf	(* y (- x z))
1.0ms	y	@	inf	(+ (- (- (* x y) (* y z)) (* y y)) (* y y))
1.0ms	y	@	0	(+ (- (- (* x y) (* y z)) (* y y)) (* y y))

rewrite403.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1 001×	`log1p-expm1-u`
1 001×	`expm1-log1p-u`
769×	`fmm-def`
138×	`add-cube-cbrt`
135×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	177
1	285	135
2	4490	131

Stop Event

1×	node limit

Counts

6 → 403

Calls

Call 1

Inputs
(*.f64 y (-.f64 x z))
(-.f64 x z)
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
(-.f64 (.f64 x y) (.f64 y z))
(*.f64 x y)

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

simplify422.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

530×	`div-sub`
414×	`fma-define`
302×	`associate-r`
302×	`associate-l`
202×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	699	22285
1	1850	20041
2	6732	19987

Stop Event

1×	node limit

Counts

553 → 458

Calls

Call 1

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

Outputs
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(*.f64 x y)
(*.f64 y x)
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 y (/.f64 (.f64 z (neg.f64 y)) x)))
(.f64 x (-.f64 y (.f64 z (/.f64 y x))))
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 y (/.f64 (.f64 z (neg.f64 y)) x)))
(.f64 x (-.f64 y (.f64 z (/.f64 y x))))
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 y (/.f64 (.f64 z (neg.f64 y)) x)))
(.f64 x (-.f64 y (.f64 z (/.f64 y x))))
(*.f64 x y)
(*.f64 y x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (.f64 y z) x))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (.f64 y (/.f64 z x))))
(.f64 x (neg.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (.f64 y z) x))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (.f64 y (/.f64 z x))))
(.f64 x (neg.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (.f64 y z) x))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (.f64 y (/.f64 z x))))
(.f64 x (neg.f64 (.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 x y)
(*.f64 y x)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
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eval120.0ms (1.1%)

Compiler: Compiled 8 068 to 1 196 computations (85.2% saved)

prune97.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	454	4	458
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	455	5	460

Accuracy

100.0%

Counts

460 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(-.f64 (.f64 y x) (.f64 y z))
▶	95.5%	(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
▶	58.2%	(*.f64 z (neg.f64 y))
✓	100.0%	(*.f64 y (-.f64 x z))
▶	51.3%	(*.f64 y x)

Compiler

Compiled 43 to 27 computations (37.2% saved)

simplify211.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	128	(-.f64 (.f64 y x) (.f64 y z))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) z)
✓	cost-diff	0	(-.f64 (/.f64 (*.f64 x y) z) y)
✓	cost-diff	256	(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 z (neg.f64 y))
✓	cost-diff	0	(*.f64 y x)

Rules

1 400×	`fmm-def`
1 270×	`fma-define`
680×	`div-sub`
380×	`associate-/l/`
326×	`distribute-lft-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	250
1	38	250
2	63	241
3	132	241
4	243	223
5	386	211
6	839	211
7	2296	211
8	4640	211
9	5842	211
10	6440	211
11	6487	211
12	6502	211
13	6506	211
14	7121	211
15	7583	211

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 y x)
y
x
(*.f64 z (neg.f64 y))
z
(neg.f64 y)
y
(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
z
(-.f64 (/.f64 (*.f64 x y) z) y)
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y x)
y
x
(*.f64 y z)
z

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

localize174.0ms (1.6%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	98.9%	(-.f64 (.f64 y x) (.f64 y z))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 x y) z) y)
✓	accuracy	96.2%	(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
✓	accuracy	90.6%	(/.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(*.f64 z (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(*.f64 y x)

Samples

158.0ms

256×

valid

Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-mult: 134.0ms (95.6% of total)

ival-div: 2.0ms (1.4% of total)

ival-sub: 2.0ms (1.4% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series23.0ms (0.2%)

Counts

8 → 159

Calls

Call 1

Inputs
#<alt (*.f64 y x)>
#<alt (*.f64 z (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (.f64 z (-.f64 (/.f64 (.f64 x y) z) y))>
#<alt (-.f64 (/.f64 (*.f64 x y) z) y)>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (-.f64 (.f64 y x) (.f64 y z))>
#<alt (*.f64 y z)>

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

Calls

57 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(* z (- (/ (* x y) z) y))
3.0ms	x	@	inf	(* z (- (/ (* x y) z) y))
1.0ms	y	@	0	(* z (neg y))
1.0ms	y	@	0	(* z (- (/ (* x y) z) y))
1.0ms	y	@	-inf	(* z (- (/ (* x y) z) y))

rewrite166.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`log1p-expm1-u`
793×	`expm1-log1p-u`
550×	`fma-define`
315×	`fmm-def`
194×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	170
1	295	150
2	4130	150

Stop Event

1×	node limit

Counts

8 → 424

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 z (neg.f64 y))
(neg.f64 y)
(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
(-.f64 (/.f64 (*.f64 x y) z) y)
(/.f64 (*.f64 x y) z)
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y z)

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

simplify505.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

645×	`distribute-lft-neg-in`
428×	`associate-l`
408×	`associate-r`
250×	`exp-prod`
237×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	698	19134
1	1542	17204
2	5529	16810

Stop Event

1×	node limit

Counts

583 → 510

Calls

Call 1

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

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

eval65.0ms (0.6%)

Compiler: Compiled 7 922 to 1 163 computations (85.3% saved)

prune94.0ms (0.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	542	1	543
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	542	6	548

Accuracy

100.0%

Counts

548 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(-.f64 (.f64 y x) (.f64 y z))
▶	8.0%	(*.f64 (neg.f64 y) x)
✓	95.5%	(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
✓	58.2%	(*.f64 z (neg.f64 y))
✓	100.0%	(*.f64 y (-.f64 x z))
✓	51.3%	(*.f64 y x)

Compiler

Compiled 50 to 32 computations (36% saved)

simplify168.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 (neg.f64 y) x)

Rules

38×	`fma-define`
9×	`sub-neg`
6×	`distribute-lft-in`
4×	`mul0-rgt`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	17	33
2	27	33
3	39	33
4	50	33
5	67	33
6	90	33
7	107	33
8	113	33
9	125	33

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x

Outputs
(*.f64 (neg.f64 y) x)
(*.f64 y (neg.f64 x))
(neg.f64 y)
y
x

localize19.0ms (0.2%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 (neg.f64 y) x)
	accuracy	100.0%	(neg.f64 y)

Samples

15.0ms

256×

valid

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

ival-mult: 2.0ms (52.4% of total)

ival-neg: 1.0ms (26.2% of total)

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

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

series1.0ms (0%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (*.f64 (neg.f64 y) x)>

Outputs
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* (neg y) x)
0.0ms	x	@	0	(* (neg y) x)
0.0ms	y	@	inf	(* (neg y) x)
0.0ms	y	@	-inf	(* (neg y) x)
0.0ms	x	@	-inf	(* (neg y) x)

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

305×	`unpow-prod-down`
278×	`log1p-expm1-u`
278×	`expm1-log1p-u`
265×	`add-exp-log`
258×	`add-log-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	90	13
2	1084	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (neg.f64 y) x)

Outputs
#s(literal 0 binary64)

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`fma-define`
9×	`sub-neg`
6×	`+-commutative`
4×	`mul0-rgt`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	409
1	17	409
2	29	409
3	33	409
4	37	409
5	56	409
6	78	409
7	89	409
8	101	409
9	126	409

Stop Event

1×

saturated

Counts

25 → 4

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
#s(literal 0 binary64)

Outputs
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
#s(literal 0 binary64)

eval4.0ms (0%)

Compiler: Compiled 237 to 98 computations (58.6% saved)

prune9.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	35	7	42

Accuracy

100.0%

Counts

42 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(-.f64 (.f64 y x) (.f64 y z))
✓	8.0%	(*.f64 (neg.f64 y) x)
✓	95.5%	(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
✓	58.2%	(*.f64 z (neg.f64 y))
✓	100.0%	(*.f64 y (-.f64 x z))
✓	51.3%	(*.f64 y x)
▶	7.6%	#s(literal 0 binary64)

Compiler

Compiled 54 to 36 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

localize11.0ms (0.1%)

Samples

8.0ms

256×

valid

Compiler

Compiled 3 to 6 computations (-100% saved)

Precisions

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

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

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

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

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune4.0ms (0%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	6	6
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(-.f64 (.f64 y x) (.f64 y z))
✓	8.0%	(*.f64 (neg.f64 y) x)
✓	95.5%	(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
✓	58.2%	(*.f64 z (neg.f64 y))
✓	100.0%	(*.f64 y (-.f64 x z))
✓	51.3%	(*.f64 y x)
✓	7.6%	#s(literal 0 binary64)

Compiler

Compiled 105 to 56 computations (46.7% saved)

regimes14.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 y x)
(*.f64 z (neg.f64 y))
(*.f64 (neg.f64 y) x)
(*.f64 y (-.f64 x z))
(-.f64 (.f64 y x) (.f64 y z))
(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Outputs
(*.f64 y (-.f64 x z))

Calls

4 calls:

4.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
3.0ms	y
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`

Compiler

Compiled 30 to 18 computations (40% saved)

regimes250.0ms (2.3%)

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 y x)
(*.f64 z (neg.f64 y))
(*.f64 (neg.f64 y) x)

Outputs
(*.f64 z (neg.f64 y))
(*.f64 y x)
(*.f64 z (neg.f64 y))

Calls

3 calls:

245.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
77.0%	3	`x`
62.1%	3	`y`
77.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 y x)

Outputs
(*.f64 y x)

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
51.3%	1	`y`
51.3%	1	`x`
51.3%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
7.6%	1	`y`
7.6%	1	`z`
7.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.0428017647635008e+61	2.163425564389668e+67
15.0ms	-2.2438642796753753e-61	-2.2836136837392764e-63

Samples

11.0ms	171×	0	valid
9.0ms	65×	1	valid
4.0ms	20×	2	valid

Compiler

Compiled 261 to 191 computations (26.8% saved)

Precisions

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

ival-mult: 7.0ms (52.1% of total)

ival-sub: 3.0ms (22.3% of total)

ival-add: 2.0ms (14.9% of total)

adjust: 1.0ms (7.4% of total)

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

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	97
1	40	97
2	50	97
3	56	97
4	58	97

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 y (-.f64 x z))
(if (<=.f64 z #s(literal -6368564908052391/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 64999999999999995996539947956831285823493940991124086559080448 binary64)) (.f64 y x) (*.f64 z (neg.f64 y))))
(*.f64 y x)
#s(literal 0 binary64)

Outputs
(*.f64 y (-.f64 x z))
(if (<=.f64 z #s(literal -6368564908052391/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (.f64 z (neg.f64 y)) (if (<=.f64 z #s(literal 64999999999999995996539947956831285823493940991124086559080448 binary64)) (.f64 y x) (*.f64 z (neg.f64 y))))
(if (or (<=.f64 z #s(literal -6368564908052391/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (not (<=.f64 z #s(literal 64999999999999995996539947956831285823493940991124086559080448 binary64)))) (.f64 z (neg.f64 y)) (.f64 y x))
(if (or (<=.f64 z #s(literal -6368564908052391/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) (not (<=.f64 z #s(literal 64999999999999995996539947956831285823493940991124086559080448 binary64)))) (.f64 y (neg.f64 z)) (.f64 y x))
(*.f64 y x)
#s(literal 0 binary64)

soundness5.0s (44.9%)

Rules

906×	`fmm-def`
816×	`sub-neg`
793×	`log1p-expm1-u`
793×	`expm1-log1p-u`
645×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	699	22285
1	1850	20041
2	6732	19987
0	698	19134
1	1542	17204
2	5529	16810
0	19	170
1	295	150
2	4130	150
0	10	17
1	90	13
2	1084	1
0	50	761
1	190	324
2	620	250
3	2072	250
4	5859	250
5	7332	250
6	7793	250

Stop Event

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

Compiler

Compiled 384 to 156 computations (59.4% saved)

preprocess44.0ms (0.4%)

Remove: (negabs y)
Compiler: Compiled 140 to 80 computations (42.9% saved)

Iter	Nodes	Cost
0	11	409
1	17	409
2	29	409
3	33	409
4	37	409
5	56	409
6	78	409
7	89	409
8	101	409
9	126	409

Iter	Nodes	Cost
0	11	409
1	17	409
2	29	409
3	33	409
4	37	409
5	56	409
6	78	409
7	89	409
8	101	409
9	126	409

analyze0.0ms (0%)

sample2.1s (19.1%)

preprocess189.0ms (1.7%)

explain367.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify213.0ms (1.9%)

localize159.0ms (1.4%)

series110.0ms (1%)

rewrite403.0ms (3.6%)

simplify422.0ms (3.8%)

eval120.0ms (1.1%)

prune97.0ms (0.9%)

simplify211.0ms (1.9%)

localize174.0ms (1.6%)

series23.0ms (0.2%)

rewrite166.0ms (1.5%)

simplify505.0ms (4.6%)

eval65.0ms (0.6%)

prune94.0ms (0.8%)

simplify168.0ms (1.5%)

localize19.0ms (0.2%)

series1.0ms (0%)

rewrite60.0ms (0.5%)

simplify27.0ms (0.2%)

eval4.0ms (0%)

prune9.0ms (0.1%)

simplify6.0ms (0.1%)

localize11.0ms (0.1%)

eval0.0ms (0%)

prune4.0ms (0%)

regimes14.0ms (0.1%)

regimes250.0ms (2.3%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch37.0ms (0.3%)

simplify4.0ms (0%)

soundness5.0s (44.9%)

preprocess44.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	409
1	17	409
2	29	409
3	33	409
4	37	409
5	56	409
6	78	409
7	89	409
8	101	409
9	126	409