Metrics for Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

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)

sample1.5s (30.1%)

Memory

2.8MiB live, 1 556.8MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 775.0ms

ival-mult: 439.0ms (56.7% of total)

ival-add: 251.0ms (32.4% of total)

ival-sub: 67.0ms (8.6% of total)

ival-true: 8.0ms (1% of total)

exact: 6.0ms (0.8% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain135.0ms (2.7%)

Memory

-11.8MiB live, 139.8MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`	nan-rescue	5	0
↳	`(*.f64 x y)`	overflow	34
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`	overflow	36

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	0	0	251

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-mult: 12.0ms (65.6% of total)

ival-sub: 3.0ms (16.4% of total)

ival-add: 2.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess20.0ms (0.4%)

Memory

21.3MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	84
2	165	83
3	287	83
4	312	83
5	323	83
6	329	83
0	8	9
0	12	9
1	20	9
2	34	9
3	54	9
4	75	9
5	79	9
6	82	9
0	82	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify5.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	20	24
2	34	24
3	54	24
4	75	24
5	79	24
6	82	24
0	82	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize31.0ms (0.6%)

Memory

-21.2MiB live, 23.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.0	(*.f64 x y)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	1.1054646216604118	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

25.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 14.0ms (82% of total)

ival-sub: 1.0ms (5.9% of total)

ival-add: 1.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

4 → 22

Calls

Call 1

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

Outputs
z
(+ z (* x (+ y (* -1 z))))
(* x y)
(+ z (* -1 (* x z)))
1
(+ 1 (* -1 x))
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(* y (+ x (/ (* z (- 1 x)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* z (- (+ 1 (/ (* x y) z)) x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))

Calls

9 calls:

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

simplify122.0ms (2.4%)

Memory

-7.6MiB live, 132.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	130
1	207	115
2	636	115
3	1970	115
4	4267	114
0	8290	106

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

Inputs
z
(+ z (* x (+ y (* -1 z))))
(* x y)
(+ z (* -1 (* x z)))
1
(+ 1 (* -1 x))
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(* y (+ x (/ (* z (- 1 x)) y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* z (- (+ 1 (/ (* x y) z)) x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))

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

rewrite202.0ms (4%)

Memory

22.8MiB live, 318.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	46	20
2	315	20
3	3393	20
0	8572	19

Stop Event

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

Counts

4 → 391

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (-.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (/.f64 (fma.f64 (neg.f64 y) x (.f64 (-.f64 #s(literal 1 binary64) x) z)) (fma.f64 (neg.f64 y) x (.f64 (-.f64 #s(literal 1 binary64) x) z))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) x (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (.f64 (-.f64 #s(literal 1 binary64) x) z))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (*.f64 (-.f64 #s(literal 1 binary64) x) z)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (.f64 (-.f64 #s(literal 1 binary64) x) z))) (.f64 (fma.f64 (neg.f64 y) x (.f64 (-.f64 #s(literal 1 binary64) x) z)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 4 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) x (.f64 (-.f64 #s(literal 1 binary64) x) z))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 (neg.f64 x) y)))
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(/.f64 (sqrt.f64 (.f64 (.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z))) (sqrt.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z))) (sqrt.f64 (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (exp.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z))) (exp.f64 (log1p.f64 x)))
(/.f64 (exp.f64 (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 z))) (exp.f64 (log1p.f64 (fma.f64 x x x))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) z) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) z) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (.f64 z (+.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (*.f64 z (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z)) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z)) (fabs.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x)))
(fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log1p.f64 x) (log.f64 z))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 z)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 z)))
(+.f64 (cosh.f64 (+.f64 (log1p.f64 x) (log.f64 z))) (sinh.f64 (+.f64 (log1p.f64 x) (log.f64 z))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval69.0ms (1.4%)

Memory: 11.4MiB live, 101.9MiB allocated
Compiler: Compiled 8 755 to 1 007 computations (88.5% saved)

prune26.0ms (0.5%)

Memory

-24.8MiB live, 19.9MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	398	4	402
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	399	4	403

Accuracy

100.0%

Counts

403 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 y x (*.f64 (-.f64 #s(literal 1 binary64) x) z))
▶	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
▶	60.3%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
▶	66.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 54 to 41 computations (24.1% saved)

simplify7.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	100
0	24	97
1	35	97
2	54	97
3	82	97
4	114	97
5	122	97
6	127	97
0	127	97

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize70.0ms (1.4%)

Memory

-2.7MiB live, 50.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	0.7499917428166807	(fma.f64 y x (*.f64 (-.f64 #s(literal 1 binary64) x) z))
accuracy	0.0	(-.f64 y z)
accuracy	0.0	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
accuracy	0.00390625	(fma.f64 (-.f64 y z) x z)
accuracy	0.0	(-.f64 y z)
accuracy	0.0078125	(*.f64 (-.f64 y z) x)
accuracy	25.401449441102727	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	21.60066214185154	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

60.0ms

256×

valid

Compiler

Compiled 85 to 15 computations (82.4% saved)

Precisions

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

ival-mult: 7.0ms (54.5% of total)

ival-add: 3.0ms (23.4% of total)

ival-sub: 2.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

9 → 47

Calls

Call 1

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

Outputs
z
(+ z (* x (+ y (* -1 z))))
(+ z (* -1 (* x z)))
1
(+ 1 (* -1 x))
(* x (- y z))
(+ z (* x (- y z)))
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (+ y (/ z x)) z))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(+ (* -1 (* x z)) (* x y))
(* -1 z)
(- y z)
(+ z (+ (* -1 (* x z)) (* x y)))
(* x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(* y (+ x (* -1 (/ (* x z) y))))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(+ y (* -1 z))
(+ (* x y) (* z (+ 1 (* -1 x))))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (- (/ y z) 1))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (- x 1)))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))

Calls

9 calls:

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

simplify123.0ms (2.4%)

Memory

15.9MiB live, 151.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	277
1	416	239
2	1348	239
3	3830	239
4	6262	239
0	8317	222

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

Inputs
z
(+ z (* x (+ y (* -1 z))))
(+ z (* -1 (* x z)))
1
(+ 1 (* -1 x))
(* x (- y z))
(+ z (* x (- y z)))
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (+ y (/ z x)) z))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(+ (* -1 (* x z)) (* x y))
(* -1 z)
(- y z)
(+ z (+ (* -1 (* x z)) (* x y)))
(* x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(* y (+ x (* -1 (/ (* x z) y))))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(+ y (* -1 z))
(+ (* x y) (* z (+ 1 (* -1 x))))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (- (/ y z) 1))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (- x 1)))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))

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

rewrite367.0ms (7.3%)

Memory

-20.0MiB live, 353.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
0	24	73
1	96	73
2	571	73
3	6432	73
0	8325	73

Stop Event

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

Counts

9 → 287

Calls

Call 1

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

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 z (+.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) z) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) z) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (.f64 z (+.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (*.f64 z (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) z) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (.f64 (.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (/.f64 (.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
(.f64 (/.f64 (.f64 (.f64 x (+.f64 z y)) (-.f64 y z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (.f64 y y)))
(.f64 (/.f64 (.f64 (.f64 x (+.f64 z y)) (-.f64 y z)) (.f64 (+.f64 z y) (-.f64 y z))) (-.f64 y z))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (*.f64 (+.f64 z y) z)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (+.f64 (pow.f64 (.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 z y) z) (-.f64 (.f64 (+.f64 z y) z) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 (-.f64 y z) #s(literal 1 binary64)) x)
(.f64 (.f64 (+.f64 z y) (-.f64 y z)) (/.f64 x (+.f64 z y)))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x (fma.f64 (+.f64 z y) z (.f64 y y))))
(.f64 (.f64 (-.f64 y z) x) #s(literal 1 binary64))
(*.f64 (-.f64 y z) x)
(.f64 #s(literal 1 binary64) (.f64 (-.f64 y z) x))
(.f64 x (.f64 #s(literal 1 binary64) (-.f64 y z)))
(*.f64 x (-.f64 y z))
(/.f64 (.f64 (.f64 (neg.f64 (+.f64 z y)) (-.f64 y z)) x) (neg.f64 (+.f64 z y)))
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(fma.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (.f64 (neg.f64 x) y) (/.f64 (.f64 (neg.f64 x) y) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))) (/.f64 (neg.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (*.f64 y x))))
(fma.f64 (fabs.f64 (.f64 y x)) (/.f64 (fabs.f64 (.f64 y x)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))) (/.f64 (neg.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (*.f64 y x))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 z (+.f64 #s(literal 1 binary64) x)) (.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 z (+.f64 #s(literal 1 binary64) x)) (.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 z (+.f64 #s(literal 1 binary64) x)) (.f64 y x))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))) (/.f64 (neg.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (*.f64 y x))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))) (/.f64 (neg.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (*.f64 y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 y x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 (.f64 y x) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))
(fma.f64 z (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 z (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 z (-.f64 #s(literal 1 binary64) x) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 (neg.f64 (neg.f64 z)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 (neg.f64 z) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (.f64 y x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (.f64 y x) (/.f64 (.f64 y x) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))) (/.f64 (neg.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (*.f64 y x))))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 z)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 (neg.f64 z) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (.f64 y x) #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))) (/.f64 (neg.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (*.f64 y x))))
(fma.f64 y x (*.f64 (neg.f64 (neg.f64 z)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 y x (*.f64 (neg.f64 z) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 y x (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))) (/.f64 (neg.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (*.f64 y x))))
(fma.f64 x (.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 (neg.f64 z)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 z) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 x (.f64 #s(literal 1 binary64) y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 x y (*.f64 (neg.f64 (neg.f64 z)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x y (*.f64 (neg.f64 z) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))))
(-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 (neg.f64 x) y))
(-.f64 (.f64 y x) (.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))) (/.f64 (neg.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 (neg.f64 (neg.f64 x)) y))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 (neg.f64 (neg.f64 z)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 y x) (.f64 (neg.f64 z) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 y x) (.f64 (-.f64 #s(literal 1 binary64) x) z))

eval94.0ms (1.9%)

Memory: -7.0MiB live, 136.9MiB allocated
Compiler: Compiled 13 643 to 1 172 computations (91.4% saved)

prune9.0ms (0.2%)

Memory

39.6MiB live, 39.6MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	386	5	391
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	388	7	395

Accuracy

100.0%

Counts

395 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.1%	(fma.f64 y x (*.f64 #s(approx (- 1 x) (neg.f64 x)) z))
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
▶	66.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 #s(approx (- y z) (neg.f64 z)) x z))
✓	60.3%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
▶	27.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
▶	41.7%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
▶	38.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 187 to 136 computations (27.3% saved)

simplify11.0ms (0.2%)

Memory

-25.7MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	153
0	32	153
1	50	153
2	76	153
3	116	153
4	161	153
5	177	153
6	189	153
7	194	153
8	199	153
0	199	149

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize153.0ms (3%)

Memory

-14.0MiB live, 111.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.01171875	(*.f64 #s(approx (- 1 x) (neg.f64 x)) z)
accuracy	0.7499917428166807	(fma.f64 y x (*.f64 #s(approx (- 1 x) (neg.f64 x)) z))
accuracy	32.11095910170219	#s(approx (- 1 x) (neg.f64 x))
accuracy	0.0	(neg.f64 z)
accuracy	0.0078125	(*.f64 #s(approx (- y z) (neg.f64 z)) x)
accuracy	25.401449441102727	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
accuracy	29.259075122244585	#s(approx (- y z) (neg.f64 z))
accuracy	0.01171875	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)
accuracy	21.60066214185154	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
accuracy	30.51538645582246	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	39.67230501369441	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))
accuracy	0.0	(neg.f64 z)
accuracy	0.0	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 #s(approx (- y z) (neg.f64 z)) x z))
accuracy	0.00390625	(fma.f64 #s(approx (- y z) (neg.f64 z)) x z)
accuracy	29.259075122244585	#s(approx (- y z) (neg.f64 z))

Samples

132.0ms

256×

valid

Compiler

Compiled 101 to 17 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-add: 82.0ms (68.8% of total)

ival-sub: 27.0ms (22.7% of total)

ival-mult: 7.0ms (5.9% of total)

ival-neg: 2.0ms (1.7% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

15 → 47

Calls

Call 1

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

Outputs
z
(+ z (* x (+ y (* -1 z))))
(+ z (* x (- y z)))
(* x y)
(+ z (* -1 (* x z)))
1
(+ 1 (* -1 x))
(* x (- y z))
(* -1 x)
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* x (- (+ y (/ z x)) z))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* x (- (/ 1 x) 1))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(+ z (+ (* -1 (* x z)) (* x y)))
(* -1 z)
(- y z)
(+ (* -1 (* x z)) (* x y))
(* y (+ x (/ (* z (- 1 x)) y)))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(+ (* x y) (* z (+ 1 (* -1 x))))
(+ y (* -1 z))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(* z (- (/ y z) 1))
(* z (+ (* -1 x) (/ (* x y) z)))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (- x 1)))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))

Calls

9 calls:

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

simplify163.0ms (3.2%)

Memory

-31.4MiB live, 156.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	271
1	416	239
2	1347	239
3	3799	239
4	6209	239
0	8242	222

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

Inputs
z
(+ z (* x (+ y (* -1 z))))
(+ z (* x (- y z)))
(* x y)
(+ z (* -1 (* x z)))
1
(+ 1 (* -1 x))
(* x (- y z))
(* -1 x)
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* x (- (+ y (/ z x)) z))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* x (- (/ 1 x) 1))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ (* -1 (- y z)) (* -1 (/ z x)))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(+ z (+ (* -1 (* x z)) (* x y)))
(* -1 z)
(- y z)
(+ (* -1 (* x z)) (* x y))
(* y (+ x (/ (* z (- 1 x)) y)))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ z y))))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* -1 (* x z))) y)))))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(+ (* x y) (* z (+ 1 (* -1 x))))
(+ y (* -1 z))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (+ (* -1 x) (/ (* x y) z))))
(* z (- (/ y z) 1))
(* z (+ (* -1 x) (/ (* x y) z)))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (- x 1)))
(* -1 (* z (- (+ x (* -1 (/ (* x y) z))) 1)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))

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

rewrite255.0ms (5%)

Memory

19.2MiB live, 293.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	134
0	32	134
1	115	134
2	709	134
3	7699	134
0	8641	130

Stop Event

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

Counts

15 → 191

Calls

Call 1

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

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 #s(approx (- y z) (neg.f64 z)) x z))
(.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (fma.f64 #s(approx (- y z) (neg.f64 z)) x z) (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64)))) (fma.f64 #s(approx (- y z) (neg.f64 z)) x z))
(.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 z (.f64 #s(approx (- y z) (neg.f64 z)) x)) z) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64)) (.f64 (-.f64 z (.f64 #s(approx (- y z) (neg.f64 z)) x)) z)))
(.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 z (.f64 #s(approx (- y z) (neg.f64 z)) x)) z) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 z (.f64 #s(approx (- y z) (neg.f64 z)) x)) z) (-.f64 (.f64 (-.f64 z (.f64 #s(approx (- y z) (neg.f64 z)) x)) z) (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 4 binary64))))
(.f64 (fma.f64 (-.f64 z (.f64 #s(approx (- y z) (neg.f64 z)) x)) z (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x z) (fma.f64 (-.f64 z (.f64 #s(approx (- y z) (neg.f64 z)) x)) z (pow.f64 (*.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64)))))
(.f64 (fma.f64 #s(approx (- y z) (neg.f64 z)) x z) (/.f64 (-.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) z) (-.f64 (*.f64 #s(approx (- y z) (neg.f64 z)) x) z)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) z)) (/.f64 (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) z))) (.f64 (/.f64 (.f64 z z) (-.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) z)) (/.f64 (.f64 z z) (-.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) z)))) (+.f64 (/.f64 (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) z)) (/.f64 (.f64 z z) (-.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) z))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (.f64 #s(approx (- y z) (neg.f64 z)) x)) z (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (.f64 #s(approx (- y z) (neg.f64 z)) x)) z (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (.f64 #s(approx (- y z) (neg.f64 z)) x)) z (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (.f64 #s(approx (- y z) (neg.f64 z)) x)) z (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 3 binary64)) (fma.f64 (-.f64 z (.f64 #s(approx (- y z) (neg.f64 z)) x)) z (pow.f64 (.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z (.f64 #s(approx (- y z) (neg.f64 z)) x)) z (pow.f64 (*.f64 #s(approx (- y z) (neg.f64 z)) x) #s(literal 2 binary64))))))
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(-.f64 (.f64 y x) (.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 z)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) z (.f64 (neg.f64 x) y)) (.f64 #s(approx (- 1 x) (neg.f64 x)) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) z (.f64 (neg.f64 x) y)) (.f64 #s(approx (- 1 x) (neg.f64 x)) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) z (.f64 (neg.f64 x) y)) (.f64 #s(approx (- 1 x) (neg.f64 x)) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) z (.f64 (neg.f64 x) y)) (.f64 #s(approx (- 1 x) (neg.f64 x)) z) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 z) (.f64 y x))) (/.f64 (neg.f64 (pow.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) z) #s(literal 2 binary64))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 z) (.f64 y x))))
(+.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) z) (.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) z) (.f64 (neg.f64 (neg.f64 x)) y))
(+.f64 (.f64 #s(approx (- 1 x) (neg.f64 x)) z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 (neg.f64 (neg.f64 z)) #s(approx (- 1 x) (neg.f64 x))))
(+.f64 (.f64 y x) (.f64 (neg.f64 z) (neg.f64 #s(approx (- 1 x) (neg.f64 x)))))
(+.f64 (.f64 y x) (.f64 #s(approx (- 1 x) (neg.f64 x)) z))
(*.f64 #s(approx (- 1 x) (neg.f64 x)) z)
(*.f64 z #s(approx (- 1 x) (neg.f64 x)))
(neg.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (neg.f64 z)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)

eval29.0ms (0.6%)

Memory: -6.1MiB live, 50.8MiB allocated
Compiler: Compiled 9 606 to 633 computations (93.4% saved)

prune7.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	208	7	215

Accuracy

100.0%

Counts

215 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.1%	(fma.f64 y x (*.f64 #s(approx (- 1 x) (neg.f64 x)) z))
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
✓	66.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 #s(approx (- y z) (neg.f64 z)) x z))
✓	60.3%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
✓	27.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
✓	41.7%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
✓	38.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 250 to 115 computations (54% saved)

regimes16.0ms (0.3%)

Memory

-12.1MiB live, 33.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.2%)

Memory

23.7MiB live, 23.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
76.2%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
89.5%	3	`x`
83.1%	3	`y`
84.0%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.2%)

Memory

-29.3MiB live, 15.5MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

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

Calls

3 calls:

5.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
80.1%	3	`y`
81.3%	3	`z`
69.6%	2	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

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

#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))

Outputs

#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))

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

#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Calls

4 calls:

2.0ms	z
2.0ms	y
2.0ms	x
1.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
69.0%	3	`x`
54.8%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
60.6%	3	`y`
59.5%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
67.4%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.2%)

Memory

-31.1MiB live, 14.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Calls

4 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
38.0%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
38.0%	1	`z`
38.0%	1	`y`
38.0%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch105.0ms (2.1%)

Memory

-4.2MiB live, 97.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
89.0ms	5.376983650488984e-87	8.523797650371623e-79
12.0ms	-5.181108014023327e-25	-8.114337472277392e-32

Samples

50.0ms

288×

valid

Compiler

Compiled 552 to 464 computations (15.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (55.4% of total)

ival-sub: 1.0ms (13.8% of total)

ival-add: 1.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.4%)

Memory

25.4MiB live, 25.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.0049213920976193e-128	1.0992501972412093e-125
9.0ms	-1.1001354979214232e-132	-9.288704138667556e-135

Samples

11.0ms

240×

valid

Compiler

Compiled 432 to 374 computations (13.4% saved)

Precisions

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

ival-mult: 3.0ms (51.7% of total)

ival-sub: 1.0ms (17.2% of total)

ival-add: 1.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.376983650488984e-87	8.523797650371623e-79
4.0ms	-1.7146423440350944e-6	-1.2529654445784116e-6

Samples

2.0ms

48×

valid

Compiler

Compiled 387 to 311 computations (19.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (88.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.376983650488984e-87	8.523797650371623e-79
1.0ms	-5.181108014023327e-25	-8.114337472277392e-32

Compiler

Compiled 552 to 446 computations (19.2% saved)

simplify34.0ms (0.7%)

Memory

-19.0MiB live, 24.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	200
1	65	200
2	81	200
3	102	200
4	123	200
5	127	200
6	130	200

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(if (<=.f64 x #s(literal -2185473029456001/22300745198530623141535718272648361505980416 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 6508085500071523/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))))
(if (<=.f64 z #s(literal -7544142416635639/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (if (<=.f64 z #s(literal 4146072293388427/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(if (<=.f64 x #s(literal -8028023020878397/4722366482869645213696 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (if (<=.f64 x #s(literal 6508085500071523/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
(if (<=.f64 x #s(literal -2185473029456001/22300745198530623141535718272648361505980416 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 6508085500071523/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Outputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(if (<=.f64 x #s(literal -2185473029456001/22300745198530623141535718272648361505980416 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 6508085500071523/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))))
(if (or (<=.f64 x #s(literal -2185473029456001/22300745198530623141535718272648361505980416 binary64)) (not (<=.f64 x #s(literal 6508085500071523/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)))) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(if (<=.f64 z #s(literal -7544142416635639/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (if (<=.f64 z #s(literal 4146072293388427/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(if (or (<=.f64 z #s(literal -7544142416635639/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896 binary64)) (not (<=.f64 z #s(literal 4146072293388427/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)))) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x)))
(if (<=.f64 x #s(literal -8028023020878397/4722366482869645213696 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (if (<=.f64 x #s(literal 6508085500071523/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
(if (<=.f64 x #s(literal -2185473029456001/22300745198530623141535718272648361505980416 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 6508085500071523/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 y x))))
(if (or (<=.f64 x #s(literal -2185473029456001/22300745198530623141535718272648361505980416 binary64)) (not (<=.f64 x #s(literal 6508085500071523/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)))) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)))
#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

soundness1.3s (25.5%)

Memory

3.9MiB live, 427.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	277
1	416	239
2	1348	239
3	3830	239
4	6262	239
0	8317	222
0	57	130
1	207	115
2	636	115
3	1970	115
4	4267	114
0	8290	106

Stop Event

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

Compiler

Compiled 294 to 150 computations (49% saved)

preprocess111.0ms (2.2%)

Memory: -13.6MiB live, 85.7MiB allocated
Compiler: Compiled 418 to 108 computations (74.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	32	90
1	80	84
2	165	83
3	287	83
4	312	83
5	323	83
6	329	83
0	8	9
0	12	9
1	20	9
2	34	9
3	54	9
4	75	9
5	79	9
6	82	9
0	82	8

Iter	Nodes	Cost
0	24	153
0	32	153
1	50	153
2	76	153
3	116	153
4	161	153
5	177	153
6	189	153
7	194	153
8	199	153
0	199	149

Iter	Nodes	Cost
0	32	90
1	80	84
2	165	83
3	287	83
4	312	83
5	323	83
6	329	83
0	8	9
0	12	9
1	20	9
2	34	9
3	54	9
4	75	9
5	79	9
6	82	9
0	82	8

Iter	Nodes	Cost
0	24	153
0	32	153
1	50	153
2	76	153
3	116	153
4	161	153
5	177	153
6	189	153
7	194	153
8	199	153
0	199	149

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (30.1%)

explain135.0ms (2.7%)

preprocess20.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize31.0ms (0.6%)

series6.0ms (0.1%)

simplify122.0ms (2.4%)

rewrite202.0ms (4%)

eval69.0ms (1.4%)

prune26.0ms (0.5%)

simplify7.0ms (0.1%)

localize70.0ms (1.4%)

series9.0ms (0.2%)

simplify123.0ms (2.4%)

rewrite367.0ms (7.3%)

eval94.0ms (1.9%)

prune9.0ms (0.2%)

simplify11.0ms (0.2%)

localize153.0ms (3%)

series7.0ms (0.1%)

simplify163.0ms (3.2%)

rewrite255.0ms (5%)

eval29.0ms (0.6%)

prune7.0ms (0.1%)

regimes16.0ms (0.3%)

regimes10.0ms (0.2%)

regimes9.0ms (0.2%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes8.0ms (0.2%)

bsearch105.0ms (2.1%)

bsearch23.0ms (0.4%)

bsearch6.0ms (0.1%)

bsearch2.0ms (0%)

simplify34.0ms (0.7%)

soundness1.3s (25.5%)

preprocess111.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	32	90
1	80	84
2	165	83
3	287	83
4	312	83
5	323	83
6	329	83
0	8	9
0	12	9
1	20	9
2	34	9
3	54	9
4	75	9
5	79	9
6	82	9
0	82	8

Iter	Nodes	Cost
0	24	153
0	32	153
1	50	153
2	76	153
3	116	153
4	161	153
5	177	153
6	189	153
7	194	153
8	199	153
0	199	149