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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze60.0ms (1.2%)

Memory

12.2MiB live, 51.6MiB 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)

sample877.0ms (17.9%)

Memory

16.7MiB live, 733.6MiB allocated

Samples

554.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-div: 101.0ms (44.3% of total)

ival-sub: 81.0ms (35.5% of total)

ival-add: 37.0ms (16.2% of total)

ival-true: 6.0ms (2.6% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain211.0ms (4.3%)

Memory

-37.6MiB live, 129.3MiB 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 47 to 22 computations (53.2% saved)

Precisions

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

ival-div: 4.0ms (42.6% of total)

ival-sub: 3.0ms (32% of total)

ival-add: 2.0ms (21.3% of total)

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

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

preprocess151.0ms (3.1%)

Memory

10.5MiB live, 87.9MiB 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

0.6MiB live, 0.6MiB 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)

simplify33.0ms (0.7%)

Memory

-0.1MiB live, 38.6MiB 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

localize24.0ms (0.5%)

Memory

-1.7MiB live, 40.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.00390625	(/.f64 (-.f64 y x) z)
accuracy	0.015625	(+.f64 x (/.f64 (-.f64 y x) z))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (44.4% of total)

ival-sub: 1.0ms (22.2% of total)

ival-add: 1.0ms (22.2% of total)

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

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

series7.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB 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
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	x	@	-inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	x	@	0	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms	y	@	inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))

simplify140.0ms (2.9%)

Memory

15.1MiB live, 130.9MiB 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

rewrite153.0ms (3.1%)

Memory

-8.4MiB live, 230.3MiB 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))

eval39.0ms (0.8%)

Memory: 8.3MiB live, 83.0MiB allocated
Compiler: Compiled 7 058 to 1 079 computations (84.7% saved)

prune26.0ms (0.5%)

Memory

-12.6MiB live, 36.8MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	341	6	347
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	341	7	348

Accuracy

100.0%

Counts

348 → 7

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))
	72.1%	(+.f64 x (/.f64 (fma.f64 z y (.f64 (neg.f64 z) x)) (.f64 z z)))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	69.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	48.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	57.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 141 to 104 computations (26.2% saved)

simplify32.0ms (0.6%)

Memory

-5.3MiB live, 32.7MiB 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	2	(-.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	1	(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

localize44.0ms (0.9%)

Memory

14.2MiB live, 90.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y z)
accuracy	0.0	(/.f64 x z)
accuracy	0.01171875	(-.f64 (/.f64 x z) x)
accuracy	1.1562438074906176	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
accuracy	0.0	(-.f64 y x)
accuracy	0.00390625	(/.f64 (-.f64 y x) z)
accuracy	19.54347035269329	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
accuracy	0.0	(/.f64 x z)
accuracy	0.01171875	(-.f64 x (/.f64 x z))
accuracy	27.491481657595465	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
accuracy	0.0	(/.f64 y z)
accuracy	33.219230213853955	#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

34.0ms

256×

valid

Compiler

Compiled 91 to 18 computations (80.2% saved)

Precisions

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

ival-div: 7.0ms (39.5% of total)

ival-sub: 5.0ms (28.2% of total)

ival-add: 3.0ms (16.9% of total)

ival-mult: 2.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.4%)

Memory

-18.2MiB live, 25.2MiB 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
7.0ms	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))
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))

simplify99.0ms (2%)

Memory

3.6MiB live, 116.2MiB 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))

rewrite162.0ms (3.3%)

Memory

11.8MiB live, 251.8MiB 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)))
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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))

eval55.0ms (1.1%)

Memory: 24.7MiB live, 98.0MiB allocated
Compiler: Compiled 12 758 to 1 580 computations (87.6% saved)

prune15.0ms (0.3%)

Memory

-19.0MiB live, 32.3MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	497	4	501
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	499	9	508

Accuracy

100.0%

Counts

508 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.2%	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
▶	72.1%	(+.f64 x (/.f64 (fma.f64 z y (.f64 (neg.f64 z) x)) (.f64 z z)))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	57.0%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
✓	69.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	27.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	48.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	69.2%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
✓	57.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 182 to 130 computations (28.6% saved)

simplify114.0ms (2.3%)

Memory

-19.7MiB live, 91.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 z) x)
cost-diff	0	(+.f64 x (/.f64 (fma.f64 z y (.f64 (neg.f64 z) x)) (.f64 z z)))
cost-diff	2	(fma.f64 z y (*.f64 (neg.f64 z) x))
cost-diff	4	(/.f64 (fma.f64 z y (.f64 (neg.f64 z) x)) (.f64 z z))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 z (-.f64 y x))
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 z (-.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	1	(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	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	1	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	163
0	47	159
1	79	159
2	121	149
3	212	146
4	480	142
5	871	142
6	1973	142
7	4902	142
8	7457	142
0	8032	142

Stop Event

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

Calls

Call 1

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

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

localize75.0ms (1.5%)

Memory

32.5MiB live, 116.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 z)
accuracy	0.015625	(+.f64 x (/.f64 (fma.f64 z y (.f64 (neg.f64 z) x)) (.f64 z z)))
accuracy	0.2578097476055602	(fma.f64 z y (*.f64 (neg.f64 z) x))
accuracy	19.922573781220606	(/.f64 (fma.f64 z y (.f64 (neg.f64 z) x)) (.f64 z z))
accuracy	0.0	(-.f64 y x)
accuracy	0.00390625	(/.f64 z (-.f64 y x))
accuracy	0.6714842665380858	(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
accuracy	19.54347035269329	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
accuracy	0.0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.09375	(fma.f64 x (/.f64 #s(literal -1 binary64) z) x)
accuracy	27.491481657595465	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
accuracy	0.0	(neg.f64 x)
accuracy	0.00390625	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy	19.54347035269329	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
accuracy	33.09034417433062	#s(approx (- y x) (neg.f64 x))
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	29.661979991424765	#s(approx (- x y) (neg.f64 y))

Samples

60.0ms

256×

valid

Compiler

Compiled 134 to 27 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-add: 17.0ms (40% of total)

ival-mult: 12.0ms (28.3% of total)

ival-div: 8.0ms (18.8% of total)

ival-neg: 3.0ms (7.1% of total)

ival-sub: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series25.0ms (0.5%)

Memory

-9.6MiB live, 28.4MiB allocated

Counts

19 → 77

Calls

Call 1

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

Outputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* -1 y)
(- x y)
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(* -1 x)
(* x (- 1 (/ 1 z)))
(/ z y)
(+ (/ z y) (/ (* x z) (pow y 2)))
(+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y))
(+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y))
(* y z)
(+ (* -1 (* x z)) (* y z))
(* -1 (* x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y x) 1))
(* -1 (/ z x))
(/ (+ (* -1 z) (* -1 (/ (* y z) x))) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x)
(* x (+ (* -1 z) (/ (* y z) x)))
(* -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 (/ (+ z (/ (* y z) x)) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(+ x (* -1 (/ x z)))
(+ x (+ (* -1 (/ x z)) (/ y z)))
(+ x (* -1 y))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2))))
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2)))))
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2)))))
(* 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))))
(/ (+ z (/ (* x z) y)) y)
(/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y)
(/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y)
(* y (+ z (* -1 (/ (* x z) 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 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y))
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* -1 (/ (- x y) z))
(/ (+ (* -1 (- x y)) (* x z)) z)
(/ -1 z)
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (+ (* -1 x) (* x z)) z)
(/ z (- y x))
(/ (+ y (* -1 x)) z)
(* z (+ y (* -1 x)))
(/ (+ y (+ (* -1 x) (* x z))) z)
(* -1 z)
(+ x (* -1 (/ (- x y) z)))
(* -1 (/ (+ x (* -1 y)) z))
(* -1 (* z (+ x (* -1 y))))
(+ x (* -1 (/ (+ x (* -1 y)) z)))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* x (/ -1 z)) x) (+ x (/ (- y x) z)) (/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (- y x) (/ (+ (* z y) (* (neg z) x)) (* z z)) (+ (* z y) (* (neg z) x)) (+ x (/ (+ (* z y) (* (neg z) x)) (* z z))) (* (neg z) x) (neg z))
4.0ms	y	@	-inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* x (/ -1 z)) x) (+ x (/ (- y x) z)) (/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (- y x) (/ (+ (* z y) (* (neg z) x)) (* z z)) (+ (* z y) (* (neg z) x)) (+ x (/ (+ (* z y) (* (neg z) x)) (* z z))) (* (neg z) x) (neg z))
2.0ms	x	@	inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* x (/ -1 z)) x) (+ x (/ (- y x) z)) (/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (- y x) (/ (+ (* z y) (* (neg z) x)) (* z z)) (+ (* z y) (* (neg z) x)) (+ x (/ (+ (* z y) (* (neg z) x)) (* z z))) (* (neg z) x) (neg z))
2.0ms	z	@	0	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* x (/ -1 z)) x) (+ x (/ (- y x) z)) (/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (- y x) (/ (+ (* z y) (* (neg z) x)) (* z z)) (+ (* z y) (* (neg z) x)) (+ x (/ (+ (* z y) (* (neg z) x)) (* z z))) (* (neg z) x) (neg z))
2.0ms	z	@	-inf	((+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ (* x (/ -1 z)) x) (+ x (/ (- y x) z)) (/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (- y x) (/ (+ (* z y) (* (neg z) x)) (* z z)) (+ (* z y) (* (neg z) x)) (+ x (/ (+ (* z y) (* (neg z) x)) (* z z))) (* (neg z) x) (neg z))

simplify243.0ms (5%)

Memory

-13.0MiB live, 181.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	233	697
1	688	625
2	1959	583
3	6662	562
0	8507	537

Stop Event

1×	iter limit
1×	node limit

Counts

77 → 75

Calls

Call 1

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

rewrite229.0ms (4.7%)

Memory

14.4MiB live, 171.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	141
0	47	131
1	186	125
2	1600	125
0	8298	125

Stop Event

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

Counts

19 → 693

Calls

Call 1

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

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

eval125.0ms (2.5%)

Memory: -3.2MiB live, 122.7MiB allocated
Compiler: Compiled 13 227 to 1 995 computations (84.9% saved)

prune35.0ms (0.7%)

Memory

-7.0MiB live, 31.7MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	572	1	573
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	573	9	582

Accuracy

100.0%

Counts

582 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.2%	(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))
▶	72.1%	(+.f64 x (/.f64 #s(approx (+ (* z y) (* (neg z) x)) (.f64 (-.f64 y x) z)) (.f64 z z)))
✓	57.0%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
✓	69.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	27.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	48.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	69.2%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
✓	57.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 120 to 85 computations (29.2% saved)

simplify37.0ms (0.8%)

Memory

24.7MiB live, 24.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	66
0	18	66
1	33	57
2	50	57
3	73	57
4	102	57
5	151	57
6	254	57
7	338	57
8	490	57
9	555	57
10	625	57
11	748	57
12	942	57
13	954	57
14	983	57
15	1005	57
16	1007	57
0	1007	57

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize87.0ms (1.8%)

Memory

-13.5MiB live, 32.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ (* z y) (* (neg z) x)) (*.f64 (-.f64 y x) z))
accuracy	0.0078125	(*.f64 (-.f64 y x) z)
accuracy	0.015625	(+.f64 x (/.f64 #s(approx (+ (* z y) (* (neg z) x)) (.f64 (-.f64 y x) z)) (.f64 z z)))
accuracy	19.922573781220606	(/.f64 #s(approx (+ (* z y) (* (neg z) x)) (.f64 (-.f64 y x) z)) (.f64 z z))

Samples

78.0ms

256×

valid

Compiler

Compiled 50 to 14 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 64.0ms (91.6% of total)

ival-add: 2.0ms (2.9% of total)

ival-div: 1.0ms (1.4% of total)

ival-sub: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series9.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

4 → 31

Calls

Call 1

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

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

Calls

9 calls:

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

simplify241.0ms (4.9%)

Memory

-22.1MiB live, 91.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	218
1	248	197
2	724	163
3	1786	163
4	4375	163
5	6299	163
6	7478	163
7	7928	163
8	7970	163
9	7970	163
0	8073	162

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

Calls

Call 1

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

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

rewrite233.0ms (4.7%)

Memory

25.6MiB live, 177.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
0	18	57
1	78	48
2	619	48
3	7251	48
0	8306	47

Stop Event

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

Counts

4 → 208

Calls

Call 1

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

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

eval41.0ms (0.8%)

Memory: -23.3MiB live, 61.2MiB allocated
Compiler: Compiled 9 163 to 872 computations (90.5% saved)

prune7.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	0	0	0
Picked	1	0	1
Done	0	8	8
Total	218	9	227

Accuracy

100.0%

Counts

227 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.2%	(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))
	45.9%	(+.f64 x (/.f64 #s(approx (+ (* z y) (* (neg z) x)) (.f64 (neg.f64 x) z)) (.f64 z z)))
✓	57.0%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
✓	69.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	27.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	48.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	69.2%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
✓	57.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 288 to 138 computations (52.1% saved)

regimes107.0ms (2.2%)

Memory

-10.1MiB live, 28.5MiB allocated

Counts

13 → 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))
(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 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
(+.f64 x (/.f64 #s(approx (+ (* z y) (* (neg z) x)) (.f64 (neg.f64 x) z)) (.f64 z z)))
(+.f64 x (/.f64 #s(approx (+ (* z y) (* (neg z) x)) (.f64 (-.f64 y x) z)) (.f64 z z)))
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(+.f64 x (/.f64 (fma.f64 z y (.f64 (neg.f64 z) x)) (.f64 z z)))

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

Calls

4 calls:

93.0ms	z
4.0ms	y
4.0ms	x
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)

regimes12.0ms (0.2%)

Memory

-13.2MiB live, 24.2MiB 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:

4.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
82.7%	3	`x`
81.5%	3	`y`
82.6%	3	`z`
72.7%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB 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 y z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
78.0%	3	`y`
61.7%	3	`z`
76.1%	3	`x`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB 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 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))

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
48.1%	1	`z`
48.1%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
57.5%	3	`x`
59.3%	3	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes12.0ms (0.2%)

Memory

-34.9MiB live, 11.0MiB 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:

8.0ms	x
1.0ms	y
1.0ms	z
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
48.1%	1	`z`
48.1%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
48.1%	1	`x`
48.1%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch22.0ms (0.5%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.4223553534195636e+95	2.9017188227298323e+99
11.0ms	-3.3037353291433304e-51	-1.999105831487417e-59

Samples

11.0ms

272×

valid

Compiler

Compiled 452 to 352 computations (22.1% saved)

Precisions

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

ival-div: 2.0ms (41.3% of total)

ival-sub: 1.0ms (20.7% of total)

ival-add: 1.0ms (20.7% of total)

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

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

bsearch45.0ms (0.9%)

Memory

-8.5MiB live, 30.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	3.763320805554414e-16	1.2253981962423356e-14
9.0ms	-1.4624647787457786e+40	-3.739742321209089e+36

Samples

35.0ms

240×

valid

Compiler

Compiled 370 to 297 computations (19.7% saved)

Precisions

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

ival-div: 2.0ms (46.4% of total)

ival-sub: 1.0ms (23.2% of total)

ival-add: 1.0ms (23.2% of total)

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

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

bsearch25.0ms (0.5%)

Memory

5.5MiB live, 42.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.763320805554414e-16	1.2253981962423356e-14
16.0ms	-8.006773521443213e-156	-1.170711643772099e-175

Samples

11.0ms

272×

valid

Compiler

Compiled 496 to 372 computations (25% saved)

Precisions

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

ival-div: 2.0ms (40.7% of total)

ival-sub: 1.0ms (20.3% of total)

ival-add: 1.0ms (20.3% of total)

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

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

simplify62.0ms (1.3%)

Memory

11.6MiB live, 48.3MiB 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	530	122
7	1993	122
8	3320	122
9	7022	122

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 x #s(literal -1010998000018149/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 349999999999999999665913983316344938893090672568999106788942881071805303224072131769103942680576 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 y #s(literal -33000000000000000957159175573563506688 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 2535301200456459/633825300114114700748351602688 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (<=.f64 y #s(literal -7342621293732791/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 602134035108409/633825300114114700748351602688 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))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 x #s(literal -1010998000018149/421249166674228746791672110734681729275580381602196445017243910144 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 349999999999999999665913983316344938893090672568999106788942881071805303224072131769103942680576 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 -1010998000018149/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (not (<=.f64 x #s(literal 349999999999999999665913983316344938893090672568999106788942881071805303224072131769103942680576 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 y #s(literal -33000000000000000957159175573563506688 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 2535301200456459/633825300114114700748351602688 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (or (<=.f64 y #s(literal -33000000000000000957159175573563506688 binary64)) (not (<=.f64 y #s(literal 2535301200456459/633825300114114700748351602688 binary64)))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))))
(if (<=.f64 y #s(literal -7342621293732791/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 602134035108409/633825300114114700748351602688 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))))
(if (or (<=.f64 y #s(literal -7342621293732791/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (not (<=.f64 y #s(literal 602134035108409/633825300114114700748351602688 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))

soundness903.0ms (18.4%)

Memory

-9.1MiB live, 273.0MiB 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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 151 to 75 computations (50.3% saved)

preprocess57.0ms (1.2%)

Memory: -14.3MiB live, 65.2MiB allocated
Compiler: Compiled 258 to 92 computations (64.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze60.0ms (1.2%)

sample877.0ms (17.9%)

explain211.0ms (4.3%)

preprocess151.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify33.0ms (0.7%)

localize24.0ms (0.5%)

series7.0ms (0.1%)

simplify140.0ms (2.9%)

rewrite153.0ms (3.1%)

eval39.0ms (0.8%)

prune26.0ms (0.5%)

simplify32.0ms (0.6%)

localize44.0ms (0.9%)

series18.0ms (0.4%)

simplify99.0ms (2%)

rewrite162.0ms (3.3%)

eval55.0ms (1.1%)

prune15.0ms (0.3%)

simplify114.0ms (2.3%)

localize75.0ms (1.5%)

series25.0ms (0.5%)

simplify243.0ms (5%)

rewrite229.0ms (4.7%)

eval125.0ms (2.5%)

prune35.0ms (0.7%)

simplify37.0ms (0.8%)

localize87.0ms (1.8%)

series9.0ms (0.2%)

simplify241.0ms (4.9%)

rewrite233.0ms (4.7%)

eval41.0ms (0.8%)

prune7.0ms (0.1%)

regimes107.0ms (2.2%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes12.0ms (0.2%)

bsearch22.0ms (0.5%)

bsearch45.0ms (0.9%)

bsearch25.0ms (0.5%)

simplify62.0ms (1.3%)

soundness903.0ms (18.4%)

preprocess57.0ms (1.2%)

end0.0ms (0%)

Profiling