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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.1s (24.2%)

Memory

2.8MiB live, 1 228.0MiB allocated

Samples

668.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 374.0ms

ival-mult: 176.0ms (47.1% of total)

ival-sub: 104.0ms (27.8% of total)

ival-add: 78.0ms (20.9% of total)

ival-true: 7.0ms (1.9% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain168.0ms (3.7%)

Memory

10.3MiB live, 171.0MiB 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	29
↳	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`	overflow	35

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

121.0ms

512×

valid

Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-sub: 62.0ms (83.7% of total)

ival-mult: 8.0ms (10.8% of total)

ival-add: 2.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess188.0ms (4.2%)

Memory

-21.1MiB live, 54.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	81
2	189	81
3	563	68
4	1173	64
5	1926	63
6	2311	63
7	2374	63
8	2378	63
9	2378	63
0	8	9
0	12	9
1	19	9
2	29	9
3	52	9
4	107	8
5	155	7
6	245	7
7	396	7
8	571	7
9	650	7
10	653	7
0	653	6

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 (-.f64 y z) x z)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify19.0ms (0.4%)

Memory

31.0MiB live, 31.0MiB 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	448	(+.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	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	245	22
7	396	22
8	571	22
9	650	22
10	653	22
0	653	21

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

localize62.0ms (1.4%)

Memory

-27.3MiB live, 31.4MiB 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	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	1.062497935830206	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

56.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

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

ival-sub: 36.0ms (74.3% of total)

ival-mult: 10.0ms (20.6% of total)

ival-add: 1.0ms (2.1% 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

7.2MiB live, 7.2MiB 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))

simplify318.0ms (7%)

Memory

-35.4MiB live, 125.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	120
1	192	106
2	594	106
3	1501	106
4	4300	106
5	6860	106
0	8055	98

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 #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 #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)

rewrite383.0ms (8.4%)

Memory

41.8MiB live, 233.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	44	20
2	314	20
3	3865	20
0	8538	19

Stop Event

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

Counts

4 → 284

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 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x)) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.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))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x)) (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x x) z) y) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.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 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.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 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (fma.f64 x x x) z) y) #s(literal 3 binary64))) #s(literal -1 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 3 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #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 (/.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 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x)) #s(literal -1 binary64)) (pow.f64 (pow.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))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x)) #s(literal -1 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))))
(.f64 (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 -1 binary64)) (pow.f64 (pow.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))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (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 -1 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))))
(.f64 (neg.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)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))) #s(literal -1 binary64)))
(.f64 (neg.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)))) (pow.f64 (neg.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 -1 binary64)))
(.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))) (pow.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x)) #s(literal -1 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 (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)) (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 -1 binary64))))
(.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))) (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 -1 binary64)))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (/.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x)) (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)) (.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (.f64 y x)) (pow.f64 (fma.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x) (*.f64 y x)) #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 y x)))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (.f64 (neg.f64 x) y)) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(/.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #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 -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 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 (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 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.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 (+.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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #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))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 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 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.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 (-.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 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.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 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (/.f64 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)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.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 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.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)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.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)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(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)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #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 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.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)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval36.0ms (0.8%)

Memory: 4.6MiB live, 81.8MiB allocated
Compiler: Compiled 6 917 to 928 computations (86.6% saved)

prune30.0ms (0.7%)

Memory

-28.6MiB live, 16.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	290	3	293
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	291	3	294

Accuracy

100.0%

Counts

294 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
▶	66.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
▶	63.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 46 to 34 computations (26.1% saved)

simplify30.0ms (0.7%)

Memory

-2.4MiB live, 37.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
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: 2 (0.0ms)

Iter	Nodes	Cost
0	16	80
0	21	80
1	32	80
2	49	71
3	92	71
4	155	71
5	217	71
6	344	71
7	582	71
8	767	71
9	795	71
10	795	71
0	795	71

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

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

localize31.0ms (0.7%)

Memory

32.2MiB live, 69.7MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (-.f64 y z) 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	0.0	(-.f64 y z)
accuracy	0.00390625	(*.f64 (-.f64 y z) x)
accuracy	21.519796396590316	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
accuracy	23.53233881505498	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))

Samples

23.0ms

256×

valid

Compiler

Compiled 144 to 30 computations (79.2% saved)

Precisions

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

ival-mult: 8.0ms (62.3% of total)

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

ival-add: 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

-18.5MiB live, 19.8MiB allocated

Counts

8 → 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)

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	x	@	0	((+ (* 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))
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))
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))
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))
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))

simplify119.0ms (2.6%)

Memory

6.7MiB live, 174.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	236
1	388	230
2	1174	230
3	2905	230
4	5813	230
0	8146	213

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 #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 #s(literal 1 binary64) 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)

rewrite172.0ms (3.8%)

Memory

-9.0MiB live, 226.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	68
0	21	68
1	79	68
2	576	59
3	7540	59
0	8070	59

Stop Event

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

Counts

8 → 386

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)

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

eval61.0ms (1.4%)

Memory: -5.5MiB live, 148.6MiB allocated
Compiler: Compiled 15 949 to 1 621 computations (89.8% saved)

prune10.0ms (0.2%)

Memory

-3.5MiB live, 35.7MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	473	3	476
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	473	6	479

Accuracy

100.0%

Counts

479 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
✓	66.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
✓	63.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
▶	30.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
▶	36.1%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
▶	42.1%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 94 to 69 computations (26.6% saved)

simplify195.0ms (4.3%)

Memory

4.5MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	85
0	22	85
1	35	85
2	49	85
3	78	79
4	151	79
5	217	79
6	366	79
7	622	79
8	753	79
9	789	79
10	884	79
11	997	79
12	1003	79
13	1007	79
14	1013	79
15	1017	79
0	1017	76

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#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

Outputs
#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

localize56.0ms (1.2%)

Memory

10.0MiB live, 61.7MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 z)
accuracy	0.00390625	(*.f64 #s(approx (- y z) (neg.f64 z)) x)
accuracy	21.519796396590316	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
accuracy	31.47508279988047	#s(approx (- y z) (neg.f64 z))
accuracy	0.00390625	(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)
accuracy	23.53233881505498	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
accuracy	31.053639488955344	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	37.025828947517255	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Samples

21.0ms

256×

valid

Compiler

Compiled 141 to 33 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (52% of total)

ival-sub: 2.0ms (17.3% of total)

ival-add: 1.0ms (8.7% of total)

ival-neg: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-22.3MiB live, 14.9MiB allocated

Counts

9 → 36

Calls

Call 1

Inputs
#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)
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	((+ (* 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 z) (neg z))
2.0ms	z	@	inf	((+ (* 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 z) (neg z))
1.0ms	x	@	-inf	((+ (* 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 z) (neg z))
1.0ms	y	@	-inf	((+ (* 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 z) (neg z))
1.0ms	x	@	inf	((+ (* 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 z) (neg z))

simplify119.0ms (2.6%)

Memory

37.5MiB live, 157.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	161
1	291	157
2	878	157
3	2299	157
4	4752	157
5	6975	157
0	8009	149

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

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

rewrite142.0ms (3.1%)

Memory

-20.2MiB live, 172.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	79
0	22	79
1	72	79
2	459	79
3	5444	75
0	8882	69

Stop Event

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

Counts

9 → 49

Calls

Call 1

Inputs
#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)
#s(approx (- y z) (neg.f64 z))
(neg.f64 z)

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

eval6.0ms (0.1%)

Memory: 13.8MiB live, 13.8MiB allocated
Compiler: Compiled 1 127 to 202 computations (82.1% saved)

prune4.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	60	6	66

Accuracy

100.0%

Counts

66 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
✓	66.4%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 y z) x))
✓	63.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
✓	30.2%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))
✓	36.1%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z))
✓	42.1%	#s(approx (+ (* x y) (* (- 1 x) z)) (*.f64 y x))

Compiler

Compiled 197 to 98 computations (50.3% saved)

regimes30.0ms (0.7%)

Memory

-22.4MiB live, 15.5MiB allocated

Counts

7 → 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 (-.f64 y z) 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:

21.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
3.0ms	z
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

5 → 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))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
87.1%	3	`x`
80.1%	3	`y`
84.1%	3	`z`
73.9%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB 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:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
75.1%	3	`y`
79.4%	3	`z`
63.2%	1	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes21.0ms (0.5%)

Memory

-23.9MiB live, 13.8MiB allocated

Counts

3 → 5

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

Calls

4 calls:

15.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
68.9%	5	`x`
52.7%	3	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
56.5%	3	`y`
61.8%	6	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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
62.8%	3	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB 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:

1.0ms	(+.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
42.1%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
42.1%	1	`y`
42.1%	1	`z`
42.1%	1	`x`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch29.0ms (0.6%)

Memory

-14.7MiB live, 31.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.4066601108861485e-43	1.330830461153373e-36
9.0ms	-4.901053772785909e-48	-2.8951505842675217e-49

Samples

12.0ms

256×

valid

Compiler

Compiled 524 to 414 computations (21% saved)

Precisions

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

ival-mult: 3.0ms (48.2% of total)

ival-sub: 1.0ms (16.1% of total)

ival-add: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.6%)

Memory

-5.2MiB live, 30.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.228628442532401e-76	3.2173426498404777e-76
12.0ms	-7.793490563336335e-79	-2.471612108087897e-84

Samples

15.0ms

224×

valid

Compiler

Compiled 404 to 350 computations (13.4% saved)

Precisions

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

ival-mult: 3.0ms (53.6% of total)

ival-sub: 1.0ms (17.9% of total)

ival-add: 1.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.5%)

Memory

-0.4MiB live, 35.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	5.006817102643748e+115	2.384944287697328e+116
1.0ms	1.4066601108861485e-43	1.330830461153373e-36
1.0ms	-4.901053772785909e-48	-2.8951505842675217e-49
8.0ms	-3.154092592305348e+24	-3.930804672194106e+23

Samples

9.0ms

192×

valid

Compiler

Compiled 864 to 698 computations (19.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (64.6% of total)

ival-sub: 1.0ms (21.5% of total)

ival-add: 1.0ms (21.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4066601108861485e-43	1.330830461153373e-36
1.0ms	-4.901053772785909e-48	-2.8951505842675217e-49

Compiler

Compiled 492 to 398 computations (19.1% saved)

simplify90.0ms (2%)

Memory

19.7MiB live, 56.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	241
1	70	241
2	86	241
3	117	215
4	193	215
5	285	215
6	494	215
7	2984	215
8	6908	215

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* (- 1 x) z)) (fma.f64 (-.f64 y z) x z))
(if (<=.f64 x #s(literal -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 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 (-.f64 y z) x))))
(if (<=.f64 z #s(literal -458903464748633/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (if (<=.f64 z #s(literal 8604439964036869/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 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 -1250000000000000113246208 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (if (<=.f64 x #s(literal -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) (if (<=.f64 x #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))))))
(if (<=.f64 x #s(literal -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 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 -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) (if (<=.f64 x #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 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 (-.f64 y z) x))))
(if (or (<=.f64 x #s(literal -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (not (<=.f64 x #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)))) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 y z) x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)))
(if (<=.f64 z #s(literal -458903464748633/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 (-.f64 #s(literal 1 binary64) x) z)) (if (<=.f64 z #s(literal 8604439964036869/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 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 -458903464748633/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) (not (<=.f64 z #s(literal 8604439964036869/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 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 -1250000000000000113246208 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 #s(approx (- y z) (neg.f64 z)) x)) (if (<=.f64 x #s(literal -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 #s(approx (- 1 x) #s(literal 1 binary64)) z)) (if (<=.f64 x #s(literal 100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) #s(approx (+ ( x y) (* (- 1 x) z)) (.f64 y x)) #s(approx (+ ( x y) (* (- 1 x) z)) (*.f64 #s(approx (- y z) (neg.f64 z)) x))))))
(if (<=.f64 x #s(literal -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (+ (* x y) (* (- 1 x) z)) (.f64 y x)) (if (<=.f64 x #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 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 -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (not (<=.f64 x #s(literal 5149185017309387/12259964326927110866866776217202473468949912977468817408 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))

soundness950.0ms (20.9%)

Memory

-7.1MiB live, 312.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	120
1	192	106
2	594	106
3	1501	106
4	4300	106
5	6860	106
0	8055	98
0	113	236
1	388	230
2	1174	230
3	2905	230
4	5813	230
0	8146	213

Stop Event

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

Compiler

Compiled 348 to 165 computations (52.6% saved)

preprocess70.0ms (1.5%)

Memory: 10.9MiB live, 54.6MiB allocated
Compiler: Compiled 500 to 116 computations (76.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	245	22
7	396	22
8	571	22
9	650	22
10	653	22
0	653	21

Iter	Nodes	Cost
0	16	80
0	21	80
1	32	80
2	49	71
3	92	71
4	155	71
5	217	71
6	344	71
7	582	71
8	767	71
9	795	71
10	795	71
0	795	71

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	245	22
7	396	22
8	571	22
9	650	22
10	653	22
0	653	21

Iter	Nodes	Cost
0	16	80
0	21	80
1	32	80
2	49	71
3	92	71
4	155	71
5	217	71
6	344	71
7	582	71
8	767	71
9	795	71
10	795	71
0	795	71

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (24.2%)

explain168.0ms (3.7%)

preprocess188.0ms (4.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify19.0ms (0.4%)

localize62.0ms (1.4%)

series7.0ms (0.1%)

simplify318.0ms (7%)

rewrite383.0ms (8.4%)

eval36.0ms (0.8%)

prune30.0ms (0.7%)

simplify30.0ms (0.7%)

localize31.0ms (0.7%)

series9.0ms (0.2%)

simplify119.0ms (2.6%)

rewrite172.0ms (3.8%)

eval61.0ms (1.4%)

prune10.0ms (0.2%)

simplify195.0ms (4.3%)

localize56.0ms (1.2%)

series11.0ms (0.2%)

simplify119.0ms (2.6%)

rewrite142.0ms (3.1%)

eval6.0ms (0.1%)

prune4.0ms (0.1%)

regimes30.0ms (0.7%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes21.0ms (0.5%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch29.0ms (0.6%)

bsearch26.0ms (0.6%)

bsearch24.0ms (0.5%)

bsearch2.0ms (0%)

simplify90.0ms (2%)

soundness950.0ms (20.9%)

preprocess70.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	245	22
7	396	22
8	571	22
9	650	22
10	653	22
0	653	21

Iter	Nodes	Cost
0	16	80
0	21	80
1	32	80
2	49	71
3	92	71
4	155	71
5	217	71
6	344	71
7	582	71
8	767	71
9	795	71
10	795	71
0	795	71