Metrics for Statistics.Sample:$swelfordMean from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze74.0ms (1.6%)

Memory

-7.3MiB live, 75.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (22.1%)

Memory

11.0MiB live, 758.3MiB allocated

Samples

588.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-sub: 67.0ms (39.1% of total)

ival-div: 58.0ms (33.8% of total)

ival-add: 37.0ms (21.6% of total)

ival-true: 6.0ms (3.5% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain64.0ms (1.4%)

Memory

17.9MiB live, 111.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 y x)`
-	-	`(/.f64 (-.f64 y x) z)`
-	-	`y`
-	-	`(+.f64 x (/.f64 (-.f64 y x) z))`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-div: 4.0ms (41.1% of total)

ival-sub: 3.0ms (30.8% of total)

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

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

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

preprocess123.0ms (2.7%)

Memory

-20.1MiB live, 98.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	78	63
2	229	63
3	685	63
4	1740	63
5	3200	63
6	3616	63
7	3844	63
8	3967	63
9	4015	63
10	4015	63
0	6	7
0	9	7
1	15	7
2	26	7
3	45	7
4	88	7
5	160	7
6	352	7
7	669	7
8	965	7
9	1077	7
10	1125	7
11	1164	7
0	1164	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify31.0ms (0.7%)

Memory

-4.2MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) z)
cost-diff	0	(+.f64 x (/.f64 (-.f64 y x) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	45	18
4	88	18
5	160	18
6	352	18
7	669	18
8	965	18
9	1077	18
10	1125	18
11	1164	18
0	1164	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.4%)

Memory

28.9MiB live, 28.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.0078125	(+.f64 x (/.f64 (-.f64 y x) z))
accuracy	0.015625	(/.f64 (-.f64 y x) z)

Samples

11.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (42.8% of total)

ival-sub: 1.0ms (21.4% of total)

ival-add: 1.0ms (21.4% of total)

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

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

series11.0ms (0.3%)

Memory

-18.2MiB live, 20.0MiB allocated

Counts

3 → 27

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
2.0ms	x	@	inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	z	@	0	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	x	@	-inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	y	@	-inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))

simplify154.0ms (3.4%)

Memory

22.7MiB live, 141.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	173
1	198	125
2	553	125
3	1600	125
4	3692	125
5	5299	125
6	6767	125
7	7045	125
8	7147	125
9	7147	125
0	8403	124

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 25

Calls

Call 1

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

Outputs
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
y
(+ y (* -1 x))
(-.f64 y x)
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(- y x)
(-.f64 y x)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
x

rewrite155.0ms (3.4%)

Memory

6.1MiB live, 238.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	46	15
2	408	15
3	5424	15
0	8212	15

Stop Event

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

Counts

3 → 338

Calls

Call 1

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

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

eval61.0ms (1.3%)

Memory: -14.9MiB live, 112.8MiB allocated
Compiler: Compiled 7 058 to 1 079 computations (84.7% saved)

prune8.0ms (0.2%)

Memory

-18.4MiB live, 19.6MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	342	5	347
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	342	6	348

Accuracy

100.0%

Counts

348 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
▶	98.0%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	63.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	41.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	63.3%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 115 to 86 computations (25.2% saved)

simplify37.0ms (0.8%)

Memory

-1.6MiB live, 39.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x z)
cost-diff	0	(-.f64 (/.f64 x z) x)
cost-diff	0	(/.f64 y z)
cost-diff	704	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
cost-diff	0	(/.f64 x z)
cost-diff	0	(-.f64 x (/.f64 x z))
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	104
0	31	103
1	46	103
2	85	101
3	170	101
4	394	101
5	720	101
6	975	101
7	1214	101
8	1250	101
9	1255	101
0	1255	101

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (1%)

Memory

27.6MiB live, 64.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y z)
accuracy	0.0	(/.f64 x z)
accuracy	0.0078125	(-.f64 (/.f64 x z) x)
accuracy	1.1562438074906176	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
accuracy	0.0	(-.f64 y x)
accuracy	0.015625	(/.f64 (-.f64 y x) z)
accuracy	23.33812303554505	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
accuracy	0.0	(/.f64 x z)
accuracy	0.0078125	(-.f64 x (/.f64 x z))
accuracy	23.481458549873647	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
accuracy	0.0	(/.f64 y z)
accuracy	37.31034707226352	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
accuracy	0.0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.0	(-.f64 x y)
accuracy	0.125	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)

Samples

30.0ms

256×

valid

Compiler

Compiled 195 to 38 computations (80.5% saved)

Precisions

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

ival-div: 7.0ms (40.4% of total)

ival-sub: 6.0ms (34.6% of total)

ival-add: 2.0ms (11.5% of total)

ival-mult: 2.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.4%)

Memory

-17.3MiB live, 19.9MiB allocated

Counts

13 → 49

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (- (/ y z) (- (/ x z) x)) (- (/ x z) x))
2.0ms	y	@	inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (- (/ y z) (- (/ x z) x)) (- (/ x z) x))
1.0ms	z	@	-inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (- (/ y z) (- (/ x z) x)) (- (/ x z) x))
1.0ms	z	@	0	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (- (/ y z) (- (/ x z) x)) (- (/ x z) x))
1.0ms	x	@	inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (- (/ y z) (- (/ x z) x)) (- (/ x z) x))

simplify105.0ms (2.3%)

Memory

24.6MiB live, 104.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	296
1	291	226
2	765	226
3	2275	226
4	5741	226
5	7541	226
0	8131	226

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 47

Calls

Call 1

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

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

rewrite157.0ms (3.5%)

Memory

0.8MiB live, 195.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	84
0	31	82
1	138	82
2	1364	82
0	8281	82

Stop Event

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

Counts

13 → 451

Calls

Call 1

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

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

eval71.0ms (1.6%)

Memory: -10.3MiB live, 151.4MiB allocated
Compiler: Compiled 12 758 to 1 580 computations (87.6% saved)

prune11.0ms (0.2%)

Memory

-0.1MiB live, 38.3MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	497	4	501
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	498	9	507

Accuracy

100.0%

Counts

507 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
▶	77.0%	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	63.2%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
✓	63.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	27.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	41.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	61.6%	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
✓	63.3%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 108 to 78 computations (27.8% saved)

simplify51.0ms (1.1%)

Memory

-8.7MiB live, 30.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
cost-diff	192	(fma.f64 x (/.f64 #s(literal -1 binary64) z) x)
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
cost-diff	0	(/.f64 x z)
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
cost-diff	704	(-.f64 (/.f64 y z) (/.f64 x z))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	117
0	33	113
1	52	113
2	84	111
3	125	110
4	228	110
5	346	110
6	556	110
7	995	110
8	1217	110
9	1367	110
10	1548	110
11	1569	110
12	1582	110
13	1606	110
14	1615	110
0	1615	110

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (1.1%)

Memory

-5.6MiB live, 75.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.0	(neg.f64 y)
accuracy	0.125	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
accuracy	32.45863088105955	#s(approx (- x y) (neg.f64 y))
accuracy	0.0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.09375	(fma.f64 x (/.f64 #s(literal -1 binary64) z) x)
accuracy	23.481458549873647	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
accuracy	0.0	(neg.f64 x)
accuracy	0.015625	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy	23.33812303554505	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
accuracy	30.487351329102765	#s(approx (- y x) (neg.f64 x))
accuracy	0.0	(/.f64 y z)
accuracy	0.0	(/.f64 x z)
accuracy	1.1601500574906176	(-.f64 (/.f64 y z) (/.f64 x z))
accuracy	23.33812303554505	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))

Samples

37.0ms

256×

valid

Compiler

Compiled 202 to 42 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 7.0ms (30.7% of total)

ival-mult: 6.0ms (26.3% of total)

ival-sub: 4.0ms (17.5% of total)

ival-add: 3.0ms (13.2% of total)

ival-neg: 2.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

14 → 45

Calls

Call 1

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

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

Calls

9 calls:

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

simplify236.0ms (5.2%)

Memory

6.5MiB live, 81.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	256
1	260	202
2	705	202
3	2108	202
4	5077	202
5	6361	202
6	7202	202
7	7490	202
8	7678	202
0	8028	202

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 43

Calls

Call 1

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

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

rewrite174.0ms (3.8%)

Memory

8.0MiB live, 162.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	102
0	33	98
1	146	98
2	1384	96
0	8602	96

Stop Event

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

Counts

14 → 367

Calls

Call 1

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

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

eval131.0ms (2.9%)

Memory: -25.9MiB live, 58.7MiB allocated
Compiler: Compiled 9 446 to 1 262 computations (86.6% saved)

prune8.0ms (0.2%)

Memory

18.5MiB live, 18.5MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	390	1	391
Fresh	0	0	0
Picked	0	4	4
Done	1	4	5
Total	391	9	400

Accuracy

100.0%

Counts

400 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.0%	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	63.2%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
✓	63.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	27.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	41.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	61.6%	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
✓	63.3%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
▶	63.4%	#s(approx (+ x (/ (- y x) z)) (*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z)))

Compiler

Compiled 115 to 82 computations (28.7% saved)

simplify49.0ms (1.1%)

Memory

-13.5MiB live, 25.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	(-.f64 x y)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z)))
cost-diff	320	(*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	32
0	14	32
1	25	32
2	46	30
3	94	28
4	203	28
5	411	28
6	687	28
7	977	28
8	1090	28
9	1101	28
10	1102	28
0	1102	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.5%)

Memory

21.1MiB live, 21.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.0	(-.f64 x y)
accuracy	0.21875	(*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z))
accuracy	23.33812303554505	#s(approx (+ x (/ (- y x) z)) (*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z)))

Samples

17.0ms

256×

valid

Compiler

Compiled 58 to 23 computations (60.3% saved)

Precisions

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

ival-div: 4.0ms (43% of total)

ival-sub: 3.0ms (32.2% of total)

ival-mult: 2.0ms (21.5% of total)

ival-add: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

4 → 28

Calls

Call 1

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

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

Calls

9 calls:

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

simplify161.0ms (3.5%)

Memory

-21.5MiB live, 63.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	162
1	209	162
2	585	132
3	1645	132
4	3843	132
5	5468	132
6	6917	132
7	7333	132
8	7435	132
9	7437	132
0	8096	131

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

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

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

rewrite176.0ms (3.9%)

Memory

5.7MiB live, 120.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	28
0	14	28
1	69	26
2	610	24
3	7446	24
0	8069	24

Stop Event

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

Counts

4 → 293

Calls

Call 1

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

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

eval75.0ms (1.7%)

Memory: -19.6MiB live, 61.2MiB allocated
Compiler: Compiled 7 951 to 1 109 computations (86.1% saved)

prune8.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	302	9	311

Accuracy

100.0%

Counts

311 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.0%	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	63.2%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
✓	63.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	27.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	41.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	61.6%	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
✓	63.3%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
✓	63.4%	#s(approx (+ x (/ (- y x) z)) (*.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z)))

Compiler

Compiled 247 to 117 computations (52.6% saved)

regimes106.0ms (2.3%)

Memory

-18.3MiB live, 20.2MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

94.0ms	x
4.0ms	y
4.0ms	z
4.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes10.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
85.2%	3	`x`
80.6%	3	`y`
83.7%	3	`z`
74.4%	5	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
63.3%	1	`z`
80.7%	3	`x`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))

Calls

4 calls:

1.0ms	y
1.0ms	z
1.0ms	x
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
45.4%	3	`z`
44.0%	2	`(+.f64 x (/.f64 (-.f64 y x) z))`
52.6%	3	`y`
53.2%	3	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	x
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
41.7%	1	`z`
41.7%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
41.7%	1	`y`
41.7%	1	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch16.0ms (0.4%)

Memory

-23.9MiB live, 14.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	5.457511721361513e-24	6.2104926186462795e-24
13.0ms	-1.0346107645810649e-62	-2.381940395792484e-63

Samples

5.0ms

128×

valid

Compiler

Compiled 218 to 172 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (40.7% of total)

ival-div: 1.0ms (40.7% of total)

ival-add: 1.0ms (40.7% of total)

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

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

bsearch24.0ms (0.5%)

Memory

17.5MiB live, 17.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.5155439244948656e-69	8.267388339594434e-64
11.0ms	-1.3650237742217443e-80	-1.2263582546659736e-87

Samples

12.0ms

288×

valid

Compiler

Compiled 442 to 354 computations (19.9% saved)

Precisions

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

ival-sub: 2.0ms (38.1% of total)

ival-div: 2.0ms (38.1% of total)

ival-add: 1.0ms (19.1% of total)

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

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

bsearch14.0ms (0.3%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.457511721361513e-24	6.2104926186462795e-24
11.0ms	-4.927913891934567e+41	-1.1661479461645187e+35

Samples

7.0ms

160×

valid

Compiler

Compiled 307 to 232 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (34.1% of total)

ival-div: 1.0ms (34.1% of total)

ival-add: 1.0ms (34.1% of total)

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

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

simplify99.0ms (2.2%)

Memory

-21.9MiB live, 60.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	122
1	59	122
2	75	122
3	99	122
4	147	122
5	227	122
6	529	122
7	1992	122
8	3324	122
9	7027	122

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 x #s(literal -578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 1973637728141443/340282366920938463463374607431768211456 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 x #s(literal -2306865998794583/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 8742010015015781/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 x #s(literal -20199999999999998997465072325240029184 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (if (<=.f64 x #s(literal 4219501349819637/680564733841876926926749214863536422912 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 x #s(literal -578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 1973637728141443/340282366920938463463374607431768211456 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (or (<=.f64 x #s(literal -578960446186581/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) (not (<=.f64 x #s(literal 1973637728141443/340282366920938463463374607431768211456 binary64)))) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)))
(if (<=.f64 x #s(literal -2306865998794583/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 8742010015015781/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (or (<=.f64 x #s(literal -2306865998794583/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608 binary64)) (not (<=.f64 x #s(literal 8742010015015781/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)))) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)))
(if (<=.f64 x #s(literal -20199999999999998997465072325240029184 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (if (<=.f64 x #s(literal 4219501349819637/680564733841876926926749214863536422912 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))))
(if (or (<=.f64 x #s(literal -20199999999999998997465072325240029184 binary64)) (not (<=.f64 x #s(literal 4219501349819637/680564733841876926926749214863536422912 binary64)))) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

soundness884.0ms (19.5%)

Memory

-8.2MiB live, 226.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	296
1	291	226
2	765	226
3	2275	226
4	5741	226
5	7541	226
0	8131	226
0	71	173
1	198	125
2	553	125
3	1600	125
4	3692	125
5	5299	125
6	6767	125
7	7045	125
8	7147	125
9	7147	125
0	8403	124

Stop Event

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

Compiler

Compiled 151 to 75 computations (50.3% saved)

preprocess65.0ms (1.4%)

Memory: 9.8MiB live, 49.1MiB allocated
Compiler: Compiled 258 to 92 computations (64.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze74.0ms (1.6%)

sample1.0s (22.1%)

explain64.0ms (1.4%)

preprocess123.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify31.0ms (0.7%)

localize16.0ms (0.4%)

series11.0ms (0.3%)

simplify154.0ms (3.4%)

rewrite155.0ms (3.4%)

eval61.0ms (1.3%)

prune8.0ms (0.2%)

simplify37.0ms (0.8%)

localize45.0ms (1%)

series17.0ms (0.4%)

simplify105.0ms (2.3%)

rewrite157.0ms (3.5%)

eval71.0ms (1.6%)

prune11.0ms (0.2%)

simplify51.0ms (1.1%)

localize51.0ms (1.1%)

series10.0ms (0.2%)

simplify236.0ms (5.2%)

rewrite174.0ms (3.8%)

eval131.0ms (2.9%)

prune8.0ms (0.2%)

simplify49.0ms (1.1%)

localize23.0ms (0.5%)

series5.0ms (0.1%)

simplify161.0ms (3.5%)

rewrite176.0ms (3.9%)

eval75.0ms (1.7%)

prune8.0ms (0.2%)

regimes106.0ms (2.3%)

regimes10.0ms (0.2%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch16.0ms (0.4%)

bsearch24.0ms (0.5%)

bsearch14.0ms (0.3%)

simplify99.0ms (2.2%)

soundness884.0ms (19.5%)

preprocess65.0ms (1.4%)

end0.0ms (0%)

Profiling