Metrics for Diagrams.TwoD.Segment:bezierClip from diagrams-lib-1.3.0.3

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 11 to 10 computations (9.1% saved)

sample1.7s (25.6%)

Results

1.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 646.0ms

ival-mult: 401.0ms (62.1% of total)

ival-sub: 190.0ms (29.4% of total)

ival-add: 40.0ms (6.2% of total)

ival-true: 7.0ms (1.1% of total)

ival-assert: 5.0ms (0.8% of total)

...in/eval/compile.rkt:70:19: 3.0ms (0.5% of total)

Bogosity

preprocess260.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1182×	`fmm-def`
299×	`fma-define`
196×	`distribute-rgt-in`
171×	`unsub-neg`
132×	`sub-neg`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	100	387
2	237	379
3	683	351
4	1702	339
5	2858	337
6	3224	337
7	3264	337
8	3268	337
9	3268	317
10	3911	317
11	3911	317

Stop Event

1×

saturated

Calls

Call 1

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

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

explain228.0ms (3.4%)

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`	nan-rescue	6	0
↳	`(*.f64 x y)`	overflow	23
↳	`(*.f64 z (-.f64 #s(literal 1 binary64) y))`	overflow	30

Confusion

	Predicted +	Predicted -
+	6	0
-	0	250

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	0	0	250

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

98.0ms

512×

valid

Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (53.2% of total)

ival-sub: 3.0ms (20% of total)

ival-add: 3.0ms (20% 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 39 to 16 computations (59% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (-.f64 x z) z)
▶	100.0%	(-.f64 z (*.f64 y (-.f64 z x)))
▶	97.6%	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-128	(fma.f64 y (-.f64 x z) z)
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	-6272	(-.f64 z (*.f64 y (-.f64 z x)))
✓	cost-diff	0	(-.f64 z x)
✓	cost-diff	0	(*.f64 y (-.f64 z x))
✓	cost-diff	-6144	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 z (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(*.f64 x y)

Rules

252×	`fma-define`
233×	`fmm-def`
44×	`distribute-rgt-in`
39×	`sub-neg`
37×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	226
1	43	226
2	86	208
3	204	208
4	404	208
5	685	208
6	995	208
7	1142	208
8	1154	208

Stop Event

1×

saturated

Calls

Call 1

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

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

localize53.0ms (0.8%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y (-.f64 x z) z)
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(-.f64 z x)
✓	accuracy	100.0%	(*.f64 y (-.f64 z x))
✓	accuracy	100.0%	(-.f64 z (*.f64 y (-.f64 z x)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 z (-.f64 #s(literal 1 binary64) y))
✓	accuracy	97.9%	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))

Results

38.0ms

256×

valid

Compiler

Compiled 56 to 15 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 10.0ms (54% of total)

ival-sub: 5.0ms (27% of total)

ival-fma: 3.0ms (16.2% of total)

ival-add: 1.0ms (5.4% 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)

series23.0ms (0.4%)

Counts

9 → 192

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(- z (* y (- z x)))
1.0ms	x	@	0	(- z (* y (- z x)))
1.0ms	y	@	-inf	(* z (- 1 y))
1.0ms	y	@	-inf	(* x y)
0.0ms	y	@	-inf	(+ (* y (- x z)) z)

rewrite493.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1107×	`log1p-expm1-u`
887×	`expm1-log1p-u`
149×	`add-cube-cbrt`
146×	`add-exp-log`
145×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	181
1	308	181
2	4683	181

Stop Event

1×	node limit

Counts

9 → 256

Calls

Call 1

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

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

simplify371.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

346×	`fma-define`
334×	`sub-neg`
295×	`associate-r`
291×	`associate-l`
247×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	677	14070
1	1682	13406
2	5996	13346

Stop Event

1×	node limit

Counts

448 → 380

Calls

Call 1

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

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

eval142.0ms (2.1%)

Compiler: Compiled 5174 to 1102 computations (78.7% saved)

prune147.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	374	6	380
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	376	7	383

Accuracy

100.0%

Counts

383 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.9%	(-.f64 z (*.f64 z y))
✓	100.0%	(-.f64 z (*.f64 y (-.f64 z x)))
▶	73.4%	(+.f64 (*.f64 x y) z)
	68.9%	(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y)))
▶	88.5%	(*.f64 y (-.f64 (+.f64 x (/.f64 z y)) z))
▶	59.2%	(*.f64 y (-.f64 x z))
▶	33.3%	(*.f64 y x)

Compiler

Compiled 114 to 74 computations (35.1% saved)

simplify448.0ms (6.7%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	0	(-.f64 z (*.f64 z y))
✓	cost-diff	-6272	(+.f64 (*.f64 x y) z)
	cost-diff	0	(*.f64 x y)
	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(*.f64 y (-.f64 x z))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	-6400	(-.f64 (+.f64 x (/.f64 z y)) z)
✓	cost-diff	-6144	(*.f64 y (-.f64 (+.f64 x (/.f64 z y)) z))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(+.f64 x (/.f64 z y))

Rules

2323×	`fmm-def`
561×	`div-sub`
419×	`fma-define`
358×	`sub-neg`
345×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 23 (0.0ms)

Iter	Nodes	Cost
0	20	272
1	37	272
2	64	272
3	132	271
4	244	269
5	422	256
6	750	256
7	1329	256
8	3225	256
9	4909	256
10	5917	256
11	6311	256
12	6401	256
13	6446	256
14	6462	256
15	6698	256
16	7028	256
17	7194	256
18	7212	256
19	7230	256
20	7266	256
21	7283	256
22	7299	256
23	7299	255

Stop Event

1×	node limit

Calls

Call 1

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

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

localize66.0ms (1%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 z (*.f64 z y))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (*.f64 x y) z)
	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 y (-.f64 x z))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(-.f64 (+.f64 x (/.f64 z y)) z)
✓	accuracy	100.0%	(+.f64 x (/.f64 z y))
✓	accuracy	88.5%	(*.f64 y (-.f64 (+.f64 x (/.f64 z y)) z))

Results

50.0ms

256×

valid

Compiler

Compiled 66 to 16 computations (75.8% saved)

Precisions

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

ival-mult: 9.0ms (51.2% of total)

ival-sub: 3.0ms (17.1% of total)

ival-div: 2.0ms (11.4% of total)

ival-add: 2.0ms (11.4% of total)

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

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

series25.0ms (0.4%)

Counts

9 → 216

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(* y (- (+ x (/ z y)) z))
4.0ms	y	@	inf	(* y (- (+ x (/ z y)) z))
3.0ms	y	@	-inf	(- z (* z y))
1.0ms	y	@	-inf	(* y (- (+ x (/ z y)) z))
0.0ms	z	@	inf	(+ x (/ z y))

rewrite182.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`log1p-expm1-u`
538×	`expm1-log1p-u`
159×	`add-cube-cbrt`
157×	`add-exp-log`
157×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	194
1	345	191
2	5213	191

Stop Event

1×	node limit

Counts

9 → 263

Calls

Call 1

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

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

simplify577.0ms (8.7%)

Algorithm

1×	egg-herbie

Rules

532×	`distribute-lft-neg-in`
340×	`fma-define`
288×	`associate-r`
281×	`sub-neg`
274×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	666	15223
1	1598	14553
2	5565	13742

Stop Event

1×	node limit

Counts

479 → 388

Calls

Call 1

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

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

eval53.0ms (0.8%)

Compiler: Compiled 5938 to 1322 computations (77.7% saved)

prune80.0ms (1.2%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	449	4	453
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	450	10	460

Accuracy

100.0%

Counts

460 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.9%	(-.f64 z (*.f64 z y))
✓	100.0%	(-.f64 z (*.f64 y (-.f64 z x)))
✓	73.4%	(+.f64 (*.f64 x y) z)
▶	68.9%	(*.f64 z (-.f64 #s(literal 1 binary64) y))
▶	29.0%	(*.f64 z (neg.f64 y))
✓	88.5%	(*.f64 y (-.f64 (+.f64 x (/.f64 z y)) z))
✓	59.2%	(*.f64 y (-.f64 x z))
▶	61.9%	(*.f64 y (+.f64 x (/.f64 z y)))
✓	33.3%	(*.f64 y x)
▶	42.4%	z

Compiler

Compiled 81 to 52 computations (35.8% saved)

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
	cost-diff	0	(*.f64 z (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 z (neg.f64 y))
✓	cost-diff	-6144	(*.f64 y (+.f64 x (/.f64 z y)))
	cost-diff	0	(/.f64 z y)
	cost-diff	0	(+.f64 x (/.f64 z y))

Rules

846×	`fmm-def`
359×	`distribute-lft-out`
355×	`distribute-lft-out--`
330×	`cancel-sign-sub-inv`
282×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	153
1	39	153
2	64	153
3	93	140
4	157	140
5	307	140
6	1142	140
7	3496	140
8	6289	140

Stop Event

1×	node limit

Calls

Call 1

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

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

localize44.0ms (0.7%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
	accuracy	100.0%	(*.f64 z (-.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 z (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
	accuracy	100.0%	(/.f64 z y)
	accuracy	100.0%	(+.f64 x (/.f64 z y))
✓	accuracy	88.5%	(*.f64 y (+.f64 x (/.f64 z y)))

Results

32.0ms

256×

valid

Compiler

Compiled 40 to 13 computations (67.5% saved)

Precisions

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

ival-mult: 5.0ms (36.4% of total)

ival-add: 3.0ms (21.9% of total)

ival-div: 2.0ms (14.6% of total)

ival-sub: 1.0ms (7.3% of total)

ival-neg: 1.0ms (7.3% 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)

series5.0ms (0.1%)

Counts

3 → 69

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite135.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

901×	`log1p-expm1-u`
901×	`expm1-log1p-u`
473×	`log-prod`
274×	`fma-define`
146×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	192	48
2	2905	48

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

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

simplify122.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

388×	`exp-prod`
359×	`cube-prod`
243×	`associate-l`
240×	`div-sub`
228×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	3662
1	634	3268
2	2612	3256
3	5604	3256

Stop Event

1×	node limit

Counts

184 → 147

Calls

Call 1

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

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

eval38.0ms (0.6%)

Compiler: Compiled 3448 to 840 computations (75.6% saved)

prune55.0ms (0.8%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	310	0	310
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	310	10	320

Accuracy

100.0%

Counts

320 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.9%	(-.f64 z (*.f64 z y))
✓	100.0%	(-.f64 z (*.f64 y (-.f64 z x)))
✓	73.4%	(+.f64 (*.f64 x y) z)
✓	68.9%	(*.f64 z (-.f64 #s(literal 1 binary64) y))
✓	29.0%	(*.f64 z (neg.f64 y))
✓	88.5%	(*.f64 y (-.f64 (+.f64 x (/.f64 z y)) z))
✓	59.2%	(*.f64 y (-.f64 x z))
✓	61.9%	(*.f64 y (+.f64 x (/.f64 z y)))
✓	33.3%	(*.f64 y x)
✓	42.4%	z

Compiler

Compiled 157 to 81 computations (48.4% saved)

regimes19.0ms (0.3%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	z
4.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes19.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))
5.0ms	x
4.0ms	z
4.0ms	y

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
88.6%	3	`x`
99.1%	3	`y`
89.0%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)
(*.f64 z (neg.f64 y))
(*.f64 y (-.f64 x z))
(*.f64 z (-.f64 #s(literal 1 binary64) y))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
88.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
88.7%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
56.9%	4	`z`
62.1%	5	`x`
69.9%	4	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
63.0%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
42.4%	1	`z`
42.4%	1	`x`
42.4%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch33.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	7.574599635201552e-10	5.7164766302332e-9
12.0ms	-6220101.024767593	-0.003538738071303798

Results

13.0ms

240×

valid

Compiler

Compiled 285 to 194 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (49.8% of total)

ival-sub: 1.0ms (16.6% of total)

ival-add: 1.0ms (16.6% 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)

bsearch17.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.2736384873682022e-12	1.4434953294560054e-12
12.0ms	-5.9733501216992165e-15	-9.178113769053626e-24

Results

10.0ms

176×

valid

Compiler

Compiled 213 to 157 computations (26.3% saved)

Precisions

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

ival-mult: 3.0ms (67.8% of total)

ival-sub: 1.0ms (22.6% of total)

ival-add: 1.0ms (22.6% 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)

bsearch22.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.2736384873682022e-12	1.4434953294560054e-12
17.0ms	-5.9733501216992165e-15	-9.178113769053626e-24

Results

10.0ms

176×

valid

Compiler

Compiled 169 to 124 computations (26.6% saved)

Precisions

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

ival-mult: 3.0ms (67.3% of total)

ival-sub: 1.0ms (22.4% of total)

ival-add: 1.0ms (22.4% 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)

bsearch75.0ms (1.1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	7.574599635201552e-10	5.7164766302332e-9
51.0ms	-5.9733501216992165e-15	-9.178113769053626e-24
12.0ms	-4.61300272826287e+97	-2.7779310396392096e+90

Results

60.0ms

384×

valid

Compiler

Compiled 336 to 254 computations (24.4% saved)

Precisions

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

ival-mult: 6.0ms (60.1% of total)

ival-sub: 2.0ms (20% of total)

ival-add: 2.0ms (20% 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)

bsearch20.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.2736384873682022e-12	1.4434953294560054e-12
16.0ms	-5.9733501216992165e-15	-9.178113769053626e-24

Results

13.0ms

176×

valid

Compiler

Compiled 147 to 113 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (74.8% of total)

ival-sub: 1.0ms (12.5% of total)

ival-add: 1.0ms (12.5% 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)

simplify42.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

65×	`unsub-neg`
63×	`distribute-lft-neg-in`
47×	`neg-mul-1`
30×	`neg-sub0`
25×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	401
1	96	401
2	118	401
3	133	401
4	154	401
5	179	401
6	201	401
7	241	401
8	290	401
9	311	401
10	342	401
11	362	401
12	387	401
13	409	401
14	434	401
15	467	401
16	505	401
17	512	401
18	513	401

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (-.f64 x z) z)
(-.f64 z (*.f64 y (-.f64 z x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (-.f64 x z)) (if (<=.f64 y #s(literal 6769984589841923/1208925819614629174706176 binary64)) (+.f64 (.f64 x y) z) (*.f64 y (-.f64 x z))))
(if (<=.f64 y #s(literal -6490371073168535/649037107316853453566312041152512 binary64)) (.f64 y (-.f64 x z)) (if (<=.f64 y #s(literal 6684876212141053/4951760157141521099596496896 binary64)) (.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 y (-.f64 x z))))
(if (<=.f64 y #s(literal -2281771080410813/633825300114114700748351602688 binary64)) (.f64 y (-.f64 x z)) (if (<=.f64 y #s(literal 3466232109999065/2475880078570760549798248448 binary64)) z (.f64 y (-.f64 x z))))
(if (<=.f64 y #s(literal -265000000000000009063349824290444205526937045929817852706150376195619110587156230233275072774144 binary64)) (.f64 z (neg.f64 y)) (if (<=.f64 y #s(literal -2636713248474717/20282409603651670423947251286016 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 6769984589841923/1208925819614629174706176 binary64)) z (*.f64 z (neg.f64 y)))))
(if (<=.f64 y #s(literal -2636713248474717/20282409603651670423947251286016 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 6437288204283977/4951760157141521099596496896 binary64)) z (.f64 y x)))
z

Outputs
(fma.f64 y (-.f64 x z) z)
(-.f64 z (*.f64 y (-.f64 z x)))
(+.f64 z (*.f64 y (-.f64 x z)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y (-.f64 x z)) (if (<=.f64 y #s(literal 6769984589841923/1208925819614629174706176 binary64)) (+.f64 (.f64 x y) z) (*.f64 y (-.f64 x z))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 6769984589841923/1208925819614629174706176 binary64)))) (.f64 y (-.f64 x z)) (+.f64 z (.f64 y x)))
(if (<=.f64 y #s(literal -6490371073168535/649037107316853453566312041152512 binary64)) (.f64 y (-.f64 x z)) (if (<=.f64 y #s(literal 6684876212141053/4951760157141521099596496896 binary64)) (.f64 z (-.f64 #s(literal 1 binary64) y)) (*.f64 y (-.f64 x z))))
(if (or (<=.f64 y #s(literal -6490371073168535/649037107316853453566312041152512 binary64)) (not (<=.f64 y #s(literal 6684876212141053/4951760157141521099596496896 binary64)))) (.f64 y (-.f64 x z)) (.f64 z (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 y #s(literal -2281771080410813/633825300114114700748351602688 binary64)) (.f64 y (-.f64 x z)) (if (<=.f64 y #s(literal 3466232109999065/2475880078570760549798248448 binary64)) z (.f64 y (-.f64 x z))))
(if (or (<=.f64 y #s(literal -2281771080410813/633825300114114700748351602688 binary64)) (not (<=.f64 y #s(literal 3466232109999065/2475880078570760549798248448 binary64)))) (*.f64 y (-.f64 x z)) z)
(if (<=.f64 y #s(literal -265000000000000009063349824290444205526937045929817852706150376195619110587156230233275072774144 binary64)) (.f64 z (neg.f64 y)) (if (<=.f64 y #s(literal -2636713248474717/20282409603651670423947251286016 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 6769984589841923/1208925819614629174706176 binary64)) z (*.f64 z (neg.f64 y)))))
(if (<=.f64 y #s(literal -265000000000000009063349824290444205526937045929817852706150376195619110587156230233275072774144 binary64)) (.f64 y (neg.f64 z)) (if (<=.f64 y #s(literal -2636713248474717/20282409603651670423947251286016 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 6769984589841923/1208925819614629174706176 binary64)) z (*.f64 y (neg.f64 z)))))
(if (<=.f64 y #s(literal -2636713248474717/20282409603651670423947251286016 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 6437288204283977/4951760157141521099596496896 binary64)) z (.f64 y x)))
(if (or (<=.f64 y #s(literal -2636713248474717/20282409603651670423947251286016 binary64)) (not (<=.f64 y #s(literal 6437288204283977/4951760157141521099596496896 binary64)))) (*.f64 y x) z)
z

soundness946.0ms (14.2%)

Rules

1182×	`fmm-def`
532×	`distribute-lft-neg-in`
346×	`fma-define`
340×	`fma-define`
334×	`sub-neg`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	666	15223
1	1598	14553
2	5565	13742
0	677	14070
1	1682	13406
2	5996	13346
0	40	399
1	100	387
2	237	379
3	683	351
4	1702	339
5	2858	337
6	3224	337
7	3264	337
8	3268	337
9	3268	317
10	3911	317
11	3911	317

Stop Event

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

Compiler

Compiled 531 to 191 computations (64% saved)

preprocess63.0ms (0.9%)

Compiler: Compiled 258 to 122 computations (52.7% saved)

Iter	Nodes	Cost
0	57	401
1	96	401
2	118	401
3	133	401
4	154	401
5	179	401
6	201	401
7	241	401
8	290	401
9	311	401
10	342	401
11	362	401
12	387	401
13	409	401
14	434	401
15	467	401
16	505	401
17	512	401
18	513	401

Iter	Nodes	Cost
0	57	401
1	96	401
2	118	401
3	133	401
4	154	401
5	179	401
6	201	401
7	241	401
8	290	401
9	311	401
10	342	401
11	362	401
12	387	401
13	409	401
14	434	401
15	467	401
16	505	401
17	512	401
18	513	401

analyze0.0ms (0%)

sample1.7s (25.6%)

preprocess260.0ms (3.9%)

explain228.0ms (3.4%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify40.0ms (0.6%)

localize53.0ms (0.8%)

series23.0ms (0.4%)

rewrite493.0ms (7.4%)

simplify371.0ms (5.6%)

eval142.0ms (2.1%)

prune147.0ms (2.2%)

simplify448.0ms (6.7%)

localize66.0ms (1%)

series25.0ms (0.4%)

rewrite182.0ms (2.7%)

simplify577.0ms (8.7%)

eval53.0ms (0.8%)

prune80.0ms (1.2%)

simplify78.0ms (1.2%)

localize44.0ms (0.7%)

series5.0ms (0.1%)

rewrite135.0ms (2%)

simplify122.0ms (1.8%)

eval38.0ms (0.6%)

prune55.0ms (0.8%)

regimes19.0ms (0.3%)

regimes19.0ms (0.3%)

regimes11.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch33.0ms (0.5%)

bsearch17.0ms (0.3%)

bsearch22.0ms (0.3%)

bsearch75.0ms (1.1%)

bsearch20.0ms (0.3%)

simplify42.0ms (0.6%)

soundness946.0ms (14.2%)

preprocess63.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	57	401
1	96	401
2	118	401
3	133	401
4	154	401
5	179	401
6	201	401
7	241	401
8	290	401
9	311	401
10	342	401
11	362	401
12	387	401
13	409	401
14	434	401
15	467	401
16	505	401
17	512	401
18	513	401