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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze62.0ms (1.1%)

Memory

10.6MiB live, 49.1MiB 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)

sample918.0ms (15.9%)

Memory

-2.0MiB live, 832.4MiB allocated

Samples

549.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-div: 118.0ms (47.9% of total)

ival-sub: 84.0ms (34.1% of total)

ival-add: 36.0ms (14.6% of total)

ival-true: 6.0ms (2.4% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain103.0ms (1.8%)

Memory

-29.3MiB live, 135.7MiB 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

36.0ms

512×

valid

Compiler

Compiled 83 to 34 computations (59% saved)

Precisions

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

ival-sub: 6.0ms (47.9% of total)

ival-div: 4.0ms (31.9% of total)

ival-add: 2.0ms (16% of total)

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

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

preprocess119.0ms (2.1%)

Memory

13.4MiB live, 90.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	78	63
2	229	63
3	682	63
4	1689	63
5	3091	63
6	3495	63
7	3694	63
8	3817	63
9	3865	63
10	3865	63
0	6	7
0	9	7
1	15	7
2	26	7
3	45	7
4	88	7
5	158	7
6	350	7
7	636	7
8	905	7
9	986	7
10	1034	7
11	1073	7
0	1073	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify31.0ms (0.5%)

Memory

3.1MiB live, 39.7MiB 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	158	18
6	350	18
7	636	18
8	905	18
9	986	18
10	1034	18
11	1073	18
0	1073	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

localize18.0ms (0.3%)

Memory

1.8MiB live, 40.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y x)
accuracy	0.015625	(+.f64 x (/.f64 (-.f64 y x) z))
accuracy	0.01953125	(/.f64 (-.f64 y x) z)

Samples

13.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-sub: 3.0ms (52.4% of total)

ival-div: 2.0ms (34.9% of total)

ival-add: 1.0ms (17.5% of total)

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

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

series7.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB 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))

simplify174.0ms (3%)

Memory

-8.1MiB live, 150.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	173
1	198	125
2	553	125
3	1585	125
4	3532	125
5	5029	125
6	6483	125
7	6757	125
8	6857	125
9	6857	125
0	8119	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

rewrite212.0ms (3.7%)

Memory

-5.1MiB live, 206.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	46	15
2	408	15
3	5406	15
0	8250	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))

eval42.0ms (0.7%)

Memory: 6.1MiB live, 77.3MiB allocated
Compiler: Compiled 7 058 to 1 079 computations (84.7% saved)

prune10.0ms (0.2%)

Memory

-13.3MiB live, 25.0MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	339	8	347
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	339	9	348

Accuracy

100.0%

Counts

348 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.7%	(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
▶	98.8%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
	70.1%	(+.f64 x (/.f64 (fma.f64 z y (.f64 (neg.f64 z) x)) (.f64 z z)))
▶	71.2%	(+.f64 x (/.f64 (-.f64 (.f64 y (/.f64 z x)) z) (.f64 z (/.f64 z x))))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
	88.9%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
▶	63.9%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	39.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
	64.1%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 215 to 144 computations (33% saved)

simplify156.0ms (2.7%)

Memory

18.9MiB live, 225.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (/.f64 z x))
cost-diff	0	(-.f64 (*.f64 y (/.f64 z x)) z)
cost-diff	0	(+.f64 x (/.f64 (-.f64 (.f64 y (/.f64 z x)) z) (.f64 z (/.f64 z x))))
cost-diff	2048	(/.f64 (-.f64 (.f64 y (/.f64 z x)) z) (.f64 z (/.f64 z x)))
cost-diff	0	(*.f64 (+.f64 y x) z)
cost-diff	0	(-.f64 y x)
cost-diff	0	(+.f64 y x)
cost-diff	1280	(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y 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 y z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
cost-diff	0	(/.f64 x z)
cost-diff	0	(-.f64 (/.f64 x z) x)
cost-diff	0	(/.f64 y z)
cost-diff	704	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	151
0	41	126
1	73	126
2	178	126
3	473	126
4	1659	126
0	8102	126

Stop Event

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

Calls

Call 1

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

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

localize82.0ms (1.4%)

Memory

-12.1MiB live, 102.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.015625	(+.f64 x (/.f64 (-.f64 (.f64 y (/.f64 z x)) z) (.f64 z (/.f64 z x))))
accuracy	0.1015625	(*.f64 z (/.f64 z x))
accuracy	4.045525356050213	(*.f64 y (/.f64 z x))
accuracy	22.493429009572882	(/.f64 (-.f64 (.f64 y (/.f64 z x)) z) (.f64 z (/.f64 z x)))
accuracy	0	(+.f64 y x)
accuracy	0.01953125	(*.f64 (+.f64 y x) z)
accuracy	0.1328125	(fma.f64 (+.f64 y x) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z)) x)
accuracy	14.611348821982213	(/.f64 (-.f64 y x) (*.f64 (+.f64 y x) z))
accuracy	0	(-.f64 y x)
accuracy	0.01953125	(/.f64 (-.f64 y x) z)
accuracy	23.057521040435365	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
accuracy	0	(/.f64 y z)
accuracy	38.826606537495444	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
accuracy	0	(/.f64 y z)
accuracy	0	(/.f64 x z)
accuracy	0.015625	(-.f64 (/.f64 x z) x)
accuracy	0.6640604358302058	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))

Samples

67.0ms

256×

valid

Compiler

Compiled 295 to 47 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-sub: 28.0ms (55.9% of total)

ival-div: 12.0ms (24% of total)

ival-mult: 6.0ms (12% of total)

ival-add: 4.0ms (8% of total)

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

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

series120.0ms (2.1%)

Memory

-23.4MiB live, 67.4MiB allocated

Counts

17 → 84

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
85.0ms	z	@	-inf	((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (* (+ y x) z) (/ (- (* y (/ z x)) z) (* z (/ z x))) (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (- (* y (/ z x)) z) (* y (/ z x)) (/ (- y x) (* (+ y x) z)) (* z (/ z x)))
11.0ms	x	@	-inf	((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (* (+ y x) z) (/ (- (* y (/ z x)) z) (* z (/ z x))) (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (- (* y (/ z x)) z) (* y (/ z x)) (/ (- y x) (* (+ y x) z)) (* z (/ z x)))
6.0ms	z	@	0	((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (* (+ y x) z) (/ (- (* y (/ z x)) z) (* z (/ z x))) (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (- (* y (/ z x)) z) (* y (/ z x)) (/ (- y x) (* (+ y x) z)) (* z (/ z x)))
4.0ms	x	@	inf	((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (* (+ y x) z) (/ (- (* y (/ z x)) z) (* z (/ z x))) (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (- (* y (/ z x)) z) (* y (/ z x)) (/ (- y x) (* (+ y x) z)) (* z (/ z x)))
3.0ms	x	@	0	((- (/ y z) (- (/ x z) x)) (/ y z) (- (/ x z) x) (/ x z) (+ x (/ (- y x) z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (+ (* (+ y x) (/ (- y x) (* (+ y x) z))) x) (+ y x) (* (+ y x) z) (/ (- (* y (/ z x)) z) (* z (/ z x))) (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (- (* y (/ z x)) z) (* y (/ z x)) (/ (- y x) (* (+ y x) z)) (* z (/ z x)))

simplify189.0ms (3.3%)

Memory

30.4MiB live, 147.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1001
1	815	876
2	2310	807
3	6774	803
0	8170	763

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

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

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

rewrite238.0ms (4.1%)

Memory

8.7MiB live, 165.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	128
0	41	119
1	185	119
2	1959	115
0	8209	115

Stop Event

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

Counts

17 → 685

Calls

Call 1

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

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

eval83.0ms (1.4%)

Memory: -14.5MiB live, 178.2MiB allocated
Compiler: Compiled 15 408 to 1 969 computations (87.2% saved)

prune14.0ms (0.3%)

Memory

15.2MiB live, 53.4MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	672	7	679
Fresh	3	0	3
Picked	3	2	5
Done	0	1	1
Total	678	10	688

Accuracy

100.0%

Counts

688 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	88.9%	#s(approx (- (/ y z) (- (/ x z) x)) (/.f64 (fma.f64 x z (-.f64 y x)) z))
▶	64.1%	#s(approx (- (/ y z) (- (/ x z) x)) (-.f64 x (/.f64 x z)))
	84.1%	#s(approx (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (*.f64 (/.f64 (-.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y x))) z) x))
▶	48.0%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (.f64 z y) (.f64 z x)) (*.f64 z z)))
✓	63.9%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	29.2%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	39.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	63.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
	53.9%	#s(approx (+ x (/ (- y x) z)) #s(approx (/ (- y x) z) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x z))))

Compiler

Compiled 297 to 189 computations (36.4% saved)

simplify155.0ms (2.7%)

Memory

-26.4MiB live, 171.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (.f64 z y) (.f64 z x)) (*.f64 z z)))
cost-diff	320	(-.f64 (.f64 z y) (.f64 z x))
cost-diff	640	(/.f64 (-.f64 (.f64 z y) (.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	704	(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
cost-diff	0	(/.f64 x z)
cost-diff	0	(-.f64 x (/.f64 x z))
cost-diff	0	#s(approx (- (/ y z) (- (/ x z) x)) (-.f64 x (/.f64 x z)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
cost-diff	0	(-.f64 y x)
cost-diff	0	(fma.f64 x z (-.f64 y x))
cost-diff	0	#s(approx (- (/ y z) (- (/ x z) x)) (/.f64 (fma.f64 x z (-.f64 y x)) z))
cost-diff	192	(/.f64 (fma.f64 x z (-.f64 y x)) z)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	180
0	47	166
1	82	166
2	154	158
3	348	156
4	912	156
5	2922	156
6	5990	156
7	7691	156
0	8104	156

Stop Event

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

Calls

Call 1

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

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

localize72.0ms (1.2%)

Memory

12.9MiB live, 94.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z x)
accuracy	1.2109292433208234	(-.f64 (.f64 z y) (.f64 z x))
accuracy	23.057521040435365	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (.f64 z y) (.f64 z x)) (*.f64 z z)))
accuracy	23.589613924448123	(/.f64 (-.f64 (.f64 z y) (.f64 z x)) (*.f64 z z))
accuracy	0	(-.f64 y x)
accuracy	0.01953125	(/.f64 z (-.f64 y x))
accuracy	0.6198973888035132	(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
accuracy	23.057521040435365	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
accuracy	0	(/.f64 x z)
accuracy	0.015625	(-.f64 x (/.f64 x z))
accuracy	22.965328310314735	#s(approx (- (/ y z) (- (/ x z) x)) (-.f64 x (/.f64 x z)))
accuracy	0	(neg.f64 x)
accuracy	0.01953125	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy	23.057521040435365	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
accuracy	31.194796367285146	#s(approx (- y x) (neg.f64 x))
accuracy	0	(fma.f64 x z (-.f64 y x))
accuracy	0	(-.f64 y x)
accuracy	0	#s(approx (- (/ y z) (- (/ x z) x)) (/.f64 (fma.f64 x z (-.f64 y x)) z))
accuracy	7.1226473967611055	(/.f64 (fma.f64 x z (-.f64 y x)) z)

Samples

56.0ms

256×

valid

Compiler

Compiled 314 to 56 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 19.0ms (55.8% of total)

ival-mult: 6.0ms (17.6% of total)

ival-sub: 5.0ms (14.7% of total)

ival-add: 2.0ms (5.9% of total)

ival-neg: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.4%)

Memory

-2.2MiB live, 34.3MiB allocated

Counts

19 → 79

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	((/ (+ (* x z) (- y x)) z) (- (/ y z) (- (/ x z) x)) (+ (* x z) (- y x)) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (- (/ y z) (- (/ x z) x)) (- x (/ x z)) (/ x z) (/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (/ (- (* z y) (* z x)) (* z z)) (- (* z y) (* z x)) (+ x (/ (- y x) z)) (* z y) (* z x))
3.0ms	z	@	-inf	((/ (+ (* x z) (- y x)) z) (- (/ y z) (- (/ x z) x)) (+ (* x z) (- y x)) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (- (/ y z) (- (/ x z) x)) (- x (/ x z)) (/ x z) (/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (/ (- (* z y) (* z x)) (* z z)) (- (* z y) (* z x)) (+ x (/ (- y x) z)) (* z y) (* z x))
2.0ms	x	@	-inf	((/ (+ (* x z) (- y x)) z) (- (/ y z) (- (/ x z) x)) (+ (* x z) (- y x)) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (- (/ y z) (- (/ x z) x)) (- x (/ x z)) (/ x z) (/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (/ (- (* z y) (* z x)) (* z z)) (- (* z y) (* z x)) (+ x (/ (- y x) z)) (* z y) (* z x))
2.0ms	x	@	inf	((/ (+ (* x z) (- y x)) z) (- (/ y z) (- (/ x z) x)) (+ (* x z) (- y x)) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (- (/ y z) (- (/ x z) x)) (- x (/ x z)) (/ x z) (/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (/ (- (* z y) (* z x)) (* z z)) (- (* z y) (* z x)) (+ x (/ (- y x) z)) (* z y) (* z x))
2.0ms	y	@	-inf	((/ (+ (* x z) (- y x)) z) (- (/ y z) (- (/ x z) x)) (+ (* x z) (- y x)) (- y x) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (- (/ y z) (- (/ x z) x)) (- x (/ x z)) (/ x z) (/ 1 (/ z (- y x))) (+ x (/ (- y x) z)) (/ z (- y x)) (/ (- (* z y) (* z x)) (* z z)) (- (* z y) (* z x)) (+ x (/ (- y x) z)) (* z y) (* z x))

simplify406.0ms (7.1%)

Memory

-57.9MiB live, 158.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	733
1	765	663
2	2147	617
3	6515	615
0	8190	579

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 77

Calls

Call 1

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

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

rewrite251.0ms (4.4%)

Memory

21.4MiB live, 219.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	160
0	47	138
1	207	138
2	1812	138
0	8526	138

Stop Event

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

Counts

19 → 721

Calls

Call 1

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

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

eval109.0ms (1.9%)

Memory: -30.6MiB live, 134.1MiB allocated
Compiler: Compiled 14 861 to 2 214 computations (85.1% saved)

prune16.0ms (0.3%)

Memory

-0.1MiB live, 45.4MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	579	2	581
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	579	12	591

Accuracy

100.0%

Counts

591 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	88.9%	#s(approx (- (/ y z) (- (/ x z) x)) (/.f64 (fma.f64 x z (-.f64 y x)) z))
▶	53.0%	#s(approx (- (/ y z) (- (/ x z) x)) (/.f64 #s(approx (+ (* x z) (- y x)) (fma.f64 z x (neg.f64 x))) z))
✓	64.1%	#s(approx (- (/ y z) (- (/ x z) x)) (-.f64 x (/.f64 x z)))
▶	84.1%	#s(approx (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (*.f64 (/.f64 (-.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y x))) z) x))
✓	48.0%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (.f64 z y) (.f64 z x)) (*.f64 z z)))
✓	63.9%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	24.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- (* z y) (* z x)) (.f64 (neg.f64 x) z)) (.f64 z z)))
✓	29.2%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	39.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	63.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
▶	53.9%	#s(approx (+ x (/ (- y x) z)) #s(approx (/ (- y x) z) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x z))))

Compiler

Compiled 213 to 136 computations (36.2% saved)

simplify99.0ms (1.7%)

Memory

36.9MiB live, 150.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 z x (neg.f64 x))
cost-diff	0	#s(approx (+ (* x z) (- y x)) (fma.f64 z x (neg.f64 x)))
cost-diff	0	(/.f64 #s(approx (+ (* x z) (- y x)) (fma.f64 z x (neg.f64 x))) z)
cost-diff	0	#s(approx (- (/ y z) (- (/ x z) x)) (/.f64 #s(approx (+ (* x z) (- y x)) (fma.f64 z x (neg.f64 x))) z))
cost-diff	0	(-.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y x)))
cost-diff	0	(/.f64 (-.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y x))) z)
cost-diff	0	#s(approx (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (*.f64 (/.f64 (-.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y x))) z) x))
cost-diff	1024	(*.f64 (/.f64 (-.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y x))) z) x)
cost-diff	0	(*.f64 (neg.f64 x) z)
cost-diff	0	#s(approx (- (* z y) (* z x)) (*.f64 (neg.f64 x) z))
cost-diff	0	(/.f64 #s(approx (- (* z y) (* z x)) (.f64 (neg.f64 x) z)) (.f64 z z))
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- (* z y) (* z x)) (.f64 (neg.f64 x) z)) (.f64 z z)))
cost-diff	0	(-.f64 (/.f64 y x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- y x) z) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x z)))
cost-diff	0	#s(approx (+ x (/ (- y x) z)) #s(approx (/ (- y x) z) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x z))))
cost-diff	1024	(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	253
0	57	245
1	118	245
2	229	229
3	517	217
4	1854	217
5	5864	217
0	8312	214

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (2.4%)

Memory

-17.6MiB live, 103.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (- (/ y z) (- (/ x z) x)) (/.f64 #s(approx (+ (* x z) (- y x)) (fma.f64 z x (neg.f64 x))) z))
accuracy	7.1226473967611055	(/.f64 #s(approx (+ (* x z) (- y x)) (fma.f64 z x (neg.f64 x))) z)
accuracy	23.514306158248786	#s(approx (+ (* x z) (- y x)) (fma.f64 z x (neg.f64 x)))
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy	0	#s(approx (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (*.f64 (/.f64 (-.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y x))) z) x))
accuracy	2.1830727338830918	(/.f64 (-.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y x))) z)
accuracy	7.983715427549846	(*.f64 (/.f64 (-.f64 z (-.f64 #s(literal 1 binary64) (/.f64 y x))) z) x)
accuracy	0	(neg.f64 x)
accuracy	23.057521040435365	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- (* z y) (* z x)) (.f64 (neg.f64 x) z)) (.f64 z z)))
accuracy	23.589613924448123	(/.f64 #s(approx (- (* z y) (* z x)) (.f64 (neg.f64 x) z)) (.f64 z z))
accuracy	28.907219417294552	#s(approx (- (* z y) (* z x)) (*.f64 (neg.f64 x) z))
accuracy	0	(-.f64 (/.f64 y x) #s(literal 1 binary64))
accuracy	0	#s(approx (/ (- y x) z) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x z)))
accuracy	8.635406271472904	(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x z))
accuracy	23.057521040435365	#s(approx (+ x (/ (- y x) z)) #s(approx (/ (- y x) z) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x z))))

Samples

109.0ms

256×

valid

Compiler

Compiled 416 to 80 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 26.0ms (47.8% of total)

ival-mult: 13.0ms (23.9% of total)

ival-sub: 9.0ms (16.6% of total)

ival-add: 4.0ms (7.4% of total)

ival-neg: 1.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series98.0ms (1.7%)

Memory

-12.7MiB live, 25.3MiB allocated

Counts

18 → 92

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
70.0ms	z	@	inf	((* (- (/ y x) 1) (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- (/ y x) 1) (+ x (/ (- y x) z)) (/ (- (* z y) (* z x)) (* z z)) (- (* z y) (* z x)) (* (neg x) z) (* (/ (- z (- 1 (/ y x))) z) x) (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (/ (- z (- 1 (/ y x))) z) (- z (- 1 (/ y x))) (- (/ y z) (- (/ x z) x)) (/ (+ (* x z) (- y x)) z) (+ (* x z) (- y x)) (+ (* z x) (neg x)) (neg x) (- 1 (/ y x)))
8.0ms	y	@	0	((* (- (/ y x) 1) (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- (/ y x) 1) (+ x (/ (- y x) z)) (/ (- (* z y) (* z x)) (* z z)) (- (* z y) (* z x)) (* (neg x) z) (* (/ (- z (- 1 (/ y x))) z) x) (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (/ (- z (- 1 (/ y x))) z) (- z (- 1 (/ y x))) (- (/ y z) (- (/ x z) x)) (/ (+ (* x z) (- y x)) z) (+ (* x z) (- y x)) (+ (* z x) (neg x)) (neg x) (- 1 (/ y x)))
4.0ms	z	@	-inf	((* (- (/ y x) 1) (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- (/ y x) 1) (+ x (/ (- y x) z)) (/ (- (* z y) (* z x)) (* z z)) (- (* z y) (* z x)) (* (neg x) z) (* (/ (- z (- 1 (/ y x))) z) x) (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (/ (- z (- 1 (/ y x))) z) (- z (- 1 (/ y x))) (- (/ y z) (- (/ x z) x)) (/ (+ (* x z) (- y x)) z) (+ (* x z) (- y x)) (+ (* z x) (neg x)) (neg x) (- 1 (/ y x)))
3.0ms	x	@	-inf	((* (- (/ y x) 1) (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- (/ y x) 1) (+ x (/ (- y x) z)) (/ (- (* z y) (* z x)) (* z z)) (- (* z y) (* z x)) (* (neg x) z) (* (/ (- z (- 1 (/ y x))) z) x) (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (/ (- z (- 1 (/ y x))) z) (- z (- 1 (/ y x))) (- (/ y z) (- (/ x z) x)) (/ (+ (* x z) (- y x)) z) (+ (* x z) (- y x)) (+ (* z x) (neg x)) (neg x) (- 1 (/ y x)))
3.0ms	y	@	-inf	((* (- (/ y x) 1) (/ x z)) (+ x (/ (- y x) z)) (/ (- y x) z) (- (/ y x) 1) (+ x (/ (- y x) z)) (/ (- (* z y) (* z x)) (* z z)) (- (* z y) (* z x)) (* (neg x) z) (* (/ (- z (- 1 (/ y x))) z) x) (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (/ (- z (- 1 (/ y x))) z) (- z (- 1 (/ y x))) (- (/ y z) (- (/ x z) x)) (/ (+ (* x z) (- y x)) z) (+ (* x z) (- y x)) (+ (* z x) (neg x)) (neg x) (- 1 (/ y x)))

simplify134.0ms (2.3%)

Memory

8.1MiB live, 85.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	630
1	596	536
2	1746	536
3	5563	536
0	8553	525

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 89

Calls

Call 1

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

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

rewrite243.0ms (4.2%)

Memory

13.4MiB live, 176.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	227
0	57	219
1	301	219
2	2762	211
0	9138	208

Stop Event

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

Counts

18 → 438

Calls

Call 1

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

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

eval64.0ms (1.1%)

Memory: 13.0MiB live, 88.1MiB allocated
Compiler: Compiled 16 187 to 2 128 computations (86.9% saved)

prune22.0ms (0.4%)

Memory

-17.2MiB live, 28.7MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	489	1	490
Fresh	0	0	0
Picked	1	3	4
Done	0	8	8
Total	490	12	502

Accuracy

100.0%

Counts

502 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	88.9%	#s(approx (- (/ y z) (- (/ x z) x)) (/.f64 (fma.f64 x z (-.f64 y x)) z))
✓	53.0%	#s(approx (- (/ y z) (- (/ x z) x)) (/.f64 #s(approx (+ (* x z) (- y x)) (fma.f64 z x (neg.f64 x))) z))
✓	64.1%	#s(approx (- (/ y z) (- (/ x z) x)) (-.f64 x (/.f64 x z)))
	48.1%	#s(approx (+ x (/ (- (* y (/ z x)) z) (* z (/ z x)))) (*.f64 #s(approx (/ (- z (- 1 (/ y x))) z) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) z)) x))
✓	48.0%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (.f64 z y) (.f64 z x)) (*.f64 z z)))
✓	63.9%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	24.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- (* z y) (* z x)) (.f64 (neg.f64 x) z)) (.f64 z z)))
✓	29.2%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	39.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	63.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
✓	53.9%	#s(approx (+ x (/ (- y x) z)) #s(approx (/ (- y x) z) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x z))))

Compiler

Compiled 549 to 236 computations (57% saved)

regimes68.0ms (1.2%)

Memory

-5.2MiB live, 33.7MiB allocated

Counts

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

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

Calls

4 calls:

50.0ms	z
6.0ms	y
6.0ms	x
6.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes10.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB 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 (- (/ y z) (- (/ x z) x)) (-.f64 x (/.f64 x z)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
81.7%	3	`x`
80.9%	3	`y`
88.1%	3	`z`
82.0%	5	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes8.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB 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 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
69.1%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`
77.0%	3	`y`
77.8%	3	`x`
64.1%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes161.0ms (2.8%)

Memory

-30.5MiB live, 8.6MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

155.0ms	x
2.0ms	y
1.0ms	z
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
43.2%	3	`z`
45.8%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`
51.2%	3	`y`
52.4%	3	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
39.3%	1	`z`
39.3%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
39.3%	1	`y`
39.3%	1	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch24.0ms (0.4%)

Memory

23.4MiB live, 23.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.92562383256038e+31	1.1688064587962137e+36
12.0ms	-5.019388361115183e+24	-959154888955.8591

Samples

11.0ms

288×

valid

Compiler

Compiled 478 to 372 computations (22.2% saved)

Precisions

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

ival-sub: 2.0ms (38.4% of total)

ival-div: 2.0ms (38.4% of total)

ival-add: 1.0ms (19.2% of total)

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

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

bsearch38.0ms (0.7%)

Memory

-16.2MiB live, 21.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.764430960667471e-104	2.4476391103844955e-103
29.0ms	-1.8876663968558282e-187	-1.9364547959191242e-190

Samples

28.0ms

224×

valid

Compiler

Compiled 346 to 278 computations (19.7% saved)

Precisions

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

ival-div: 2.0ms (48.5% of total)

ival-sub: 1.0ms (24.2% of total)

ival-add: 1.0ms (24.2% of total)

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

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

bsearch45.0ms (0.8%)

Memory

-13.7MiB live, 29.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	8.216893837819554e-34	644.1679252162296
13.0ms	-8.568962253020534e+34	-1971291.7258448359

Samples

30.0ms

352×

valid

Compiler

Compiled 604 to 452 computations (25.2% saved)

Precisions

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

ival-sub: 2.0ms (31.9% of total)

ival-div: 2.0ms (31.9% of total)

ival-add: 2.0ms (31.9% of total)

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

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

simplify25.0ms (0.4%)

Memory

3.6MiB live, 41.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	161
1	45	161
2	54	161
3	59	161
4	62	161
5	63	161

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -259999999999999991611392 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 44999999999999996109733513658368 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 x #s(literal -8308506094874853/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 3833027162785255/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 x #s(literal -9200000000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (if (<=.f64 x #s(literal 1080863910568919/144115188075855872 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(if (<=.f64 z #s(literal -259999999999999991611392 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 44999999999999996109733513658368 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 x #s(literal -8308506094874853/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 3833027162785255/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 x #s(literal -9200000000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (if (<=.f64 x #s(literal 1080863910568919/144115188075855872 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))

soundness938.0ms (16.3%)

Memory

-4.4MiB live, 309.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	173
1	198	125
2	553	125
3	1585	125
4	3532	125
5	5029	125
6	6483	125
7	6757	125
8	6857	125
9	6857	125
0	8119	124
0	257	1001
1	815	876
2	2310	807
3	6774	803
0	8170	763

Stop Event

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

Compiler

Compiled 190 to 72 computations (62.1% saved)

preprocess29.0ms (0.5%)

Memory: 22.2MiB live, 60.4MiB allocated
Compiler: Compiled 336 to 86 computations (74.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze62.0ms (1.1%)

sample918.0ms (15.9%)

explain103.0ms (1.8%)

preprocess119.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify31.0ms (0.5%)

localize18.0ms (0.3%)

series7.0ms (0.1%)

simplify174.0ms (3%)

rewrite212.0ms (3.7%)

eval42.0ms (0.7%)

prune10.0ms (0.2%)

simplify156.0ms (2.7%)

localize82.0ms (1.4%)

series120.0ms (2.1%)

simplify189.0ms (3.3%)

rewrite238.0ms (4.1%)

eval83.0ms (1.4%)

prune14.0ms (0.3%)

simplify155.0ms (2.7%)

localize72.0ms (1.2%)

series24.0ms (0.4%)

simplify406.0ms (7.1%)

rewrite251.0ms (4.4%)

eval109.0ms (1.9%)

prune16.0ms (0.3%)

simplify99.0ms (1.7%)

localize140.0ms (2.4%)

series98.0ms (1.7%)

simplify134.0ms (2.3%)

rewrite243.0ms (4.2%)

eval64.0ms (1.1%)

prune22.0ms (0.4%)

regimes68.0ms (1.2%)

regimes10.0ms (0.2%)

regimes8.0ms (0.1%)

regimes161.0ms (2.8%)

regimes5.0ms (0.1%)

bsearch24.0ms (0.4%)

bsearch38.0ms (0.7%)

bsearch45.0ms (0.8%)

simplify25.0ms (0.4%)

soundness938.0ms (16.3%)

preprocess29.0ms (0.5%)

end0.0ms (0%)

Profiling