Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

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 9 to 9 computations (0% saved)

sample932.0ms (25.4%)

Results

579.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 111.0ms (53.6% of total)

ival-sub: 83.0ms (40.1% of total)

ival-true: 6.0ms (2.9% of total)

ival-assert: 4.0ms (1.9% of total)

...in/eval/compile.rkt:70:19: 2.0ms (1% of total)

Bogosity

preprocess100.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

360×	`fma-define`
206×	`fmm-def`
92×	`cancel-sign-sub-inv`
89×	`associate-r`
85×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	332
1	103	314
2	247	276
3	629	276
4	1120	276
5	1518	276
6	1555	276
7	1560	276
8	1560	276
9	1560	276

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort y z)

explain81.0ms (2.2%)

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 y #s(literal 4 binary64)) z)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

31.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

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

ival-mult: 7.0ms (68.7% of total)

ival-sub: 2.0ms (19.6% of total)

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)

eval1.0ms (0%)

Compiler: Compiled 29 to 14 computations (51.7% saved)

prune6.0ms (0.2%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
▶	100.0%	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify34.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal -4 binary64))
✓	cost-diff	0	(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
✓	cost-diff	-6272	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) z)
✓	cost-diff	0	(.f64 y (.f64 #s(literal 4 binary64) z))

Rules

263×	`fma-define`
110×	`fmm-def`
45×	`cancel-sign-sub-inv`
42×	`distribute-lft-neg-in`
27×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	121
1	30	121
2	63	113
3	123	113
4	169	113
5	225	113
6	324	113
7	405	113
8	534	113
9	716	113
10	802	113
11	814	113

Stop Event

1×

saturated

Calls

Call 1

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

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

localize38.0ms (1%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal -4 binary64))
✓	accuracy	99.6%	(fma.f64 z (*.f64 y #s(literal -4 binary64)) x)
✓	accuracy	100.0%	(.f64 y (.f64 #s(literal 4 binary64) z))
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) z)
✓	accuracy	100.0%	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))

Results

23.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

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

ival-mult: 5.0ms (56.3% of total)

ival-fma: 3.0ms (33.8% of total)

ival-sub: 1.0ms (11.3% of total)

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)

series11.0ms (0.3%)

Counts

5 → 108

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite328.0ms (8.9%)

Algorithm

1×	batch-egg-rewrite

Rules

909×	`log1p-expm1-u`
909×	`expm1-log1p-u`
850×	`prod-diff`
274×	`fma-define`
164×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	91
1	186	91
2	2466	91

Stop Event

1×	node limit

Counts

5 → 226

Calls

Call 1

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

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

simplify194.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

591×	`fmm-def`
547×	`distribute-lft-neg-in`
485×	`distribute-rgt-neg-in`
326×	`distribute-lft-in`
316×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	546	9017
1	1466	8831
2	3909	8819

Stop Event

1×	node limit

Counts

334 → 267

Calls

Call 1

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

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

eval33.0ms (0.9%)

Compiler: Compiled 5469 to 652 computations (88.1% saved)

prune183.0ms (5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	264	3	267
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	265	4	269

Accuracy

100.0%

Counts

269 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
▶	89.5%	(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
▶	51.2%	(.f64 y (.f64 z #s(literal -4 binary64)))
▶	49.8%	x

Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify266.0ms (7.3%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
✓	cost-diff	-6144	(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) y)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 z #s(literal -4 binary64))
✓	cost-diff	0	(.f64 y (.f64 z #s(literal -4 binary64)))

Rules

1591×	`fma-define`
692×	`associate-/l/`
686×	`fmm-def`
307×	`associate-/r*`
251×	`distribute-rgt-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	143
1	29	143
2	49	135
3	87	135
4	153	132
5	225	126
6	375	126
7	597	126
8	1537	126
9	2999	126
10	3748	126
11	4159	126
12	4354	126
13	4416	126
14	4732	126
15	5812	126
16	6780	126
17	7490	126
18	7748	126
19	7864	126

Stop Event

1×	node limit

Calls

Call 1

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

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

localize37.0ms (1%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(*.f64 #s(literal 4 binary64) y)
✓	accuracy	100.0%	(-.f64 (/.f64 x z) (*.f64 #s(literal 4 binary64) y))
✓	accuracy	89.5%	(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
✓	accuracy	100.0%	(*.f64 z #s(literal -4 binary64))
✓	accuracy	100.0%	(.f64 y (.f64 z #s(literal -4 binary64)))

Results

26.0ms

256×

valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

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

ival-mult: 6.0ms (61.6% of total)

ival-div: 2.0ms (20.5% of total)

ival-sub: 1.0ms (10.3% of total)

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)

series12.0ms (0.3%)

Counts

6 → 99

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(* z (- (/ x z) (* 4 y)))
0.0ms	y	@	inf	(* z (- (/ x z) (* 4 y)))
0.0ms	x	@	inf	(/ x z)
0.0ms	y	@	0	(* z (- (/ x z) (* 4 y)))
0.0ms	x	@	-inf	(* z (- (/ x z) (* 4 y)))

rewrite147.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`log1p-expm1-u`
665×	`expm1-log1p-u`
604×	`log-prod`
288×	`fma-define`
195×	`pow-to-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	117
1	210	117
2	2901	109

Stop Event

1×	node limit

Counts

6 → 261

Calls

Call 1

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

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

simplify197.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

818×	`times-frac`
239×	`prod-exp`
235×	`cancel-sign-sub-inv`
224×	`distribute-lft-neg-in`
218×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	571	11003
1	1191	10593
2	3362	10325

Stop Event

1×	node limit

Counts

360 → 339

Calls

Call 1

Inputs
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -4 binary64) (.f64 y z))
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) z)
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(.f64 z (+.f64 (.f64 #s(literal -4 binary64) y) (/.f64 x z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal 4 binary64) y))))
(.f64 #s(literal -4 binary64) (.f64 y z))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (*.f64 y z) x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 y z) x)) #s(literal 1 binary64))))
x
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(+.f64 x (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(.f64 y (+.f64 (.f64 #s(literal -4 binary64) z) (/.f64 x y)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (.f64 #s(literal 4 binary64) z))))
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(fma.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))) (cbrt.f64 (.f64 y #s(literal 4 binary64))) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (/.f64 x z))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x z))

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

eval41.0ms (1.1%)

Compiler: Compiled 5336 to 1012 computations (81% saved)

prune53.0ms (1.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	338	1	339
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	338	5	343

Accuracy

100.0%

Counts

343 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
▶	39.6%	(*.f64 z (/.f64 x z))
✓	89.5%	(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
✓	51.2%	(.f64 y (.f64 z #s(literal -4 binary64)))
✓	49.8%	x

Compiler

Compiled 42 to 29 computations (31% saved)

simplify374.0ms (10.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

1107×	`cube-prod`
981×	`cube-div`
847×	`swap-sqr`
646×	`associate-/r/`
467×	`pow-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	61
1	12	61
2	14	61
3	16	37
4	18	25
5	24	25
6	49	25
7	119	25
8	576	25
9	1666	25
10	2435	25
11	3112	25
12	3790	25
13	4796	25
14	5162	25
15	5274	25
16	5356	25
17	5448	25
18	5549	25
19	6781	25
20	7366	25
21	7490	25
22	7584	25
23	7672	25
24	7759	25
25	7848	25
26	7949	25

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 z (/.f64 x z))
z
(/.f64 x z)
x

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

localize33.0ms (0.9%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 x z)
✓	accuracy	76.5%	(*.f64 z (/.f64 x z))

Results

23.0ms

256×

valid

Compiler

Compiled 12 to 7 computations (41.7% saved)

Precisions

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

ival-div: 2.0ms (47.9% of total)

ival-mult: 2.0ms (47.9% 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 z (/.f64 x z))>

Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>

Calls

6 calls:

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

rewrite67.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`unpow-prod-down`
464×	`log1p-expm1-u`
464×	`expm1-log1p-u`
446×	`add-exp-log`
431×	`add-log-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	93	22
2	1243	4

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(*.f64 z (/.f64 x z))

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

simplify99.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

484×	`fmm-def`
478×	`distribute-rgt-neg-in`
459×	`distribute-lft-neg-in`
359×	`times-frac`
305×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	341
1	167	341
2	482	341
3	2543	341

Stop Event

1×	node limit

Counts

55 → 33

Calls

Call 1

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

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

eval9.0ms (0.3%)

Compiler: Compiled 675 to 229 computations (66.1% saved)

prune15.0ms (0.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	81	5	86

Accuracy

100.0%

Counts

86 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
✓	39.6%	(*.f64 z (/.f64 x z))
✓	89.5%	(.f64 z (-.f64 (/.f64 x z) (.f64 #s(literal 4 binary64) y)))
✓	51.2%	(.f64 y (.f64 z #s(literal -4 binary64)))
✓	49.8%	x

Compiler

Compiled 85 to 49 computations (42.4% saved)

regimes27.0ms (0.7%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	(*.f64 y #s(literal 4 binary64))
3.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Results

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

Compiler

Compiled 36 to 27 computations (25% saved)

regimes6.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
69.8%	3	`x`
74.0%	3	`y`
75.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

2.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
49.8%	1	`x`
49.8%	1	`y`
49.8%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch17.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	4.2378430074653824e-44	5.056527435410298e-44
13.0ms	-4.140887016932833e-15	-1.5808556135765542e-27

Results

10.0ms

192×

valid

Compiler

Compiled 181 to 145 computations (19.9% saved)

Precisions

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

ival-mult: 2.0ms (55.6% of total)

ival-sub: 1.0ms (27.8% of total)

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)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative`
6×	`sub-neg`
6×	`+-commutative`
5×	`neg-sub0`
5×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	86
1	40	86
2	52	86
3	64	86
4	72	86
5	77	86
6	79	86

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 z #s(literal -8294382693697875/5316911983139663491615228241121378304 binary64)) (*.f64 y (*.f64 z #s(literal -4 binary64))) (if (<=.f64 z #s(literal 4619946877244597/100433627766186892221372630771322662657637687111424552206336 binary64)) x (*.f64 y (*.f64 z #s(literal -4 binary64)))))

Outputs
(-.f64 x (.f64 y (.f64 #s(literal 4 binary64) z)))
(if (<=.f64 z #s(literal -8294382693697875/5316911983139663491615228241121378304 binary64)) (.f64 y (.f64 z #s(literal -4 binary64))) (if (<=.f64 z #s(literal 4619946877244597/100433627766186892221372630771322662657637687111424552206336 binary64)) x (.f64 y (.f64 z #s(literal -4 binary64)))))
(if (or (<=.f64 z #s(literal -8294382693697875/5316911983139663491615228241121378304 binary64)) (not (<=.f64 z #s(literal 4619946877244597/100433627766186892221372630771322662657637687111424552206336 binary64)))) (.f64 y (.f64 z #s(literal -4 binary64))) x)
x

soundness273.0ms (7.4%)

Rules

591×	`fmm-def`
547×	`distribute-lft-neg-in`
485×	`distribute-rgt-neg-in`
360×	`fma-define`
326×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	332
1	103	314
2	247	276
3	629	276
4	1120	276
5	1518	276
6	1555	276
7	1560	276
8	1560	276
9	1560	276
0	546	9017
1	1466	8831
2	3909	8819

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 61 to 36 computations (41% saved)

preprocess43.0ms (1.2%)

Compiler: Compiled 132 to 90 computations (31.8% saved)

Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

analyze0.0ms (0%)

sample932.0ms (25.4%)

preprocess100.0ms (2.7%)

explain81.0ms (2.2%)

eval1.0ms (0%)

prune6.0ms (0.2%)

simplify34.0ms (0.9%)

localize38.0ms (1%)

series11.0ms (0.3%)

rewrite328.0ms (8.9%)

simplify194.0ms (5.3%)

eval33.0ms (0.9%)

prune183.0ms (5%)

simplify266.0ms (7.3%)

localize37.0ms (1%)

series12.0ms (0.3%)

rewrite147.0ms (4%)

simplify197.0ms (5.4%)

eval41.0ms (1.1%)

prune53.0ms (1.4%)

simplify374.0ms (10.2%)

localize33.0ms (0.9%)

series1.0ms (0%)

rewrite67.0ms (1.8%)

simplify99.0ms (2.7%)

eval9.0ms (0.3%)

prune15.0ms (0.4%)

regimes27.0ms (0.7%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch17.0ms (0.5%)

simplify5.0ms (0.1%)

soundness273.0ms (7.4%)

preprocess43.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	121
1	30	121
2	63	113
3	123	113
4	169	113
5	225	113
6	324	113
7	405	113
8	534	113
9	716	113
10	802	113
11	814	113

Iter	Nodes	Cost
0	17	121
1	30	121
2	63	113
3	123	113
4	169	113
5	225	113
6	324	113
7	405	113
8	534	113
9	716	113
10	802	113
11	814	113

Iter	Nodes	Cost
0	17	121
1	30	121
2	63	113
3	123	113
4	169	113
5	225	113
6	324	113
7	405	113
8	534	113
9	716	113
10	802	113
11	814	113