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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze60.0ms (1.7%)

Memory

-18.1MiB live, 20.8MiB 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)

sample874.0ms (24.1%)

Memory

23.0MiB live, 650.4MiB allocated

Samples

586.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 355.0ms

ival-sub: 168.0ms (47.3% of total)

ival-div: 100.0ms (28.2% of total)

ival-add: 77.0ms (21.7% of total)

ival-true: 6.0ms (1.7% of total)

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

Bogosity

explain81.0ms (2.2%)

Memory

-0.7MiB live, 74.1MiB 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

23.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-div: 4.0ms (42% of total)

ival-sub: 3.0ms (31.5% of total)

ival-add: 2.0ms (21% of total)

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

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

preprocess122.0ms (3.4%)

Memory

13.4MiB live, 57.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

simplify52.0ms (1.4%)

Memory

-2.2MiB live, 35.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.5%)

Memory

4.1MiB live, 40.3MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

15.0ms

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: 2.0ms (34.2% of total)

ival-div: 2.0ms (34.2% of total)

ival-add: 1.0ms (17.1% of total)

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

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

series7.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB 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))

simplify149.0ms (4.1%)

Memory

-12.0MiB live, 143.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 25

Calls

Call 1

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

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

rewrite183.0ms (5.1%)

Memory

-9.6MiB live, 237.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 338

Calls

Call 1

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

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

eval38.0ms (1.1%)

Memory: 8.7MiB live, 85.1MiB allocated
Compiler: Compiled 7 058 to 1 079 computations (84.7% saved)

prune6.0ms (0.2%)

Memory

-14.6MiB live, 23.9MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	344	3	347
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	344	4	348

Accuracy

100.0%

Counts

348 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	37.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	67.3%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 39 to 30 computations (23.1% saved)

simplify33.0ms (0.9%)

Memory

7.7MiB live, 50.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	57
0	22	57
1	34	57
2	68	56
3	132	56
4	267	56
5	488	56
6	733	56
7	1063	56
8	1160	56
9	1171	56
10	1172	56
0	1172	56

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (1%)

Memory

2.9MiB live, 78.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.0	(-.f64 x y)
accuracy	0.0859375	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
accuracy	0.0	(/.f64 y z)
accuracy	39.99410736224534	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
accuracy	0.0	(/.f64 x z)
accuracy	0.017910009768442016	(-.f64 x (/.f64 x z))
accuracy	20.916904656117698	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Samples

28.0ms

256×

valid

Compiler

Compiled 107 to 31 computations (71% saved)

Precisions

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

ival-div: 7.0ms (40.1% of total)

ival-sub: 7.0ms (40.1% of total)

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

ival-mult: 1.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

8 → 30

Calls

Call 1

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

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

Calls

9 calls:

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

simplify119.0ms (3.3%)

Memory

-10.7MiB live, 141.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	200
1	201	200
2	522	146
3	1620	146
4	4119	146
5	6237	146
6	7637	146
0	8008	146

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

Calls

Call 1

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

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

rewrite198.0ms (5.4%)

Memory

-34.4MiB live, 263.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	49
0	22	49
1	106	49
2	989	48
0	8867	48

Stop Event

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

Counts

8 → 290

Calls

Call 1

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

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

eval48.0ms (1.3%)

Memory: 15.2MiB live, 53.5MiB allocated
Compiler: Compiled 6 536 to 903 computations (86.2% saved)

prune5.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	299	2	301
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	300	5	305

Accuracy

100.0%

Counts

305 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	67.3%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
✓	37.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	67.3%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
▶	25.1%	#s(approx (+ x (/ (- y x) z)) #s(approx (- x (/ x z)) (/.f64 (neg.f64 x) z)))

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify49.0ms (1.3%)

Memory

-21.8MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	62
0	21	62
1	35	60
2	55	60
3	84	60
4	130	60
5	229	60
6	412	60
7	730	60
8	985	60
9	1063	60
10	1102	60
11	1128	60
0	1128	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (2%)

Memory

-2.8MiB live, 40.9MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.08431625976844201	(fma.f64 x (/.f64 #s(literal -1 binary64) z) x)
accuracy	20.916904656117698	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
accuracy	0.0	(/.f64 (neg.f64 x) z)
accuracy	0.0	(neg.f64 x)
accuracy	20.916904656117698	#s(approx (+ x (/ (- y x) z)) #s(approx (- x (/ x z)) (/.f64 (neg.f64 x) z)))
accuracy	34.72223487081985	#s(approx (- x (/ x z)) (/.f64 (neg.f64 x) z))

Samples

64.0ms

256×

valid

Compiler

Compiled 104 to 32 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-neg: 40.0ms (75.2% of total)

ival-div: 7.0ms (13.2% of total)

ival-sub: 3.0ms (5.6% of total)

ival-add: 2.0ms (3.8% of total)

ival-mult: 2.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

7 → 19

Calls

Call 1

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

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

Calls

9 calls:

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

simplify164.0ms (4.5%)

Memory

-10.6MiB live, 102.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	125
1	120	125
2	312	97
3	930	97
4	3216	97
5	7329	97
0	8239	97

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

Calls

Call 1

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

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

rewrite228.0ms (6.3%)

Memory

22.6MiB live, 97.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	57
0	21	57
1	100	55
2	812	55
0	9093	55

Stop Event

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

Counts

7 → 151

Calls

Call 1

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

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

eval16.0ms (0.5%)

Memory: 18.9MiB live, 18.9MiB allocated
Compiler: Compiled 3 938 to 567 computations (85.6% saved)

prune101.0ms (2.8%)

Memory

-28.4MiB live, 9.7MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	159	5	164

Accuracy

100.0%

Counts

164 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	67.3%	#s(approx (+ x (/ (- y x) z)) (fma.f64 x (/.f64 #s(literal -1 binary64) z) x))
✓	37.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	67.3%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
✓	25.1%	#s(approx (+ x (/ (- y x) z)) #s(approx (- x (/ x z)) (/.f64 (neg.f64 x) z)))

Compiler

Compiled 134 to 71 computations (47% saved)

regimes10.0ms (0.3%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.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)

regimes8.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
80.7%	3	`x`
80.7%	3	`y`
72.9%	3	`z`
67.3%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.5%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
43.9%	3	`z`
50.9%	3	`y`
46.8%	3	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes24.0ms (0.7%)

Memory

-31.2MiB live, 7.5MiB 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:

20.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
37.5%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
37.5%	1	`z`
37.5%	1	`x`
37.5%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch20.0ms (0.6%)

Memory

25.7MiB live, 25.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.133961896235764e-52	1.0659067752862078e-39
6.0ms	-4.2095722825861586e-44	-1.1215083252968458e-44

Samples

10.0ms

240×

valid

Compiler

Compiled 370 to 297 computations (19.7% saved)

Precisions

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

ival-div: 2.0ms (46% of total)

ival-sub: 1.0ms (23% of total)

ival-add: 1.0ms (23% of total)

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

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

bsearch69.0ms (1.9%)

Memory

-24.6MiB live, 25.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.277622853525236e-59	4.197039141514614e-55
57.0ms	-1.4728283511983384e-24	-1.7385156321323752e-32

Samples

57.0ms

272×

valid

Compiler

Compiled 503 to 386 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-sub: 33.0ms (91.5% of total)

ival-div: 2.0ms (5.5% of total)

ival-add: 1.0ms (2.8% of total)

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

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

simplify61.0ms (1.7%)

Memory

8.4MiB live, 45.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	89
1	53	89
2	73	89
3	103	89
4	155	89
5	257	89
6	532	89
7	1772	89
8	4643	89

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 x #s(literal -4619946877244597/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 1090146769225299/51422017416287688817342786954917203280710495801049370729644032 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 y #s(literal -178405961588245/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 8480865910936245/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (+ x (/ (- y x) z)) #s(approx (- x (/ x z)) (/.f64 (neg.f64 x) z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 x #s(literal -4619946877244597/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 x #s(literal 1090146769225299/51422017416287688817342786954917203280710495801049370729644032 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (or (<=.f64 x #s(literal -4619946877244597/401734511064747568885490523085290650630550748445698208825344 binary64)) (not (<=.f64 x #s(literal 1090146769225299/51422017416287688817342786954917203280710495801049370729644032 binary64)))) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)))
(if (<=.f64 y #s(literal -178405961588245/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 8480865910936245/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (+ x (/ (- y x) z)) #s(approx (- x (/ x z)) (/.f64 (neg.f64 x) z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (or (<=.f64 y #s(literal -178405961588245/713623846352979940529142984724747568191373312 binary64)) (not (<=.f64 y #s(literal 8480865910936245/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) #s(approx (- x (/ x z)) (/.f64 (neg.f64 x) z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

soundness705.0ms (19.4%)

Memory

-12.5MiB live, 232.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	173
1	198	125
2	553	125
3	1600	125
4	3692	125
5	5299	125
6	6767	125
7	7045	125
8	7147	125
9	7147	125
0	8403	124
0	75	200
1	201	200
2	522	146
3	1620	146
4	4119	146
5	6237	146
6	7637	146
0	8008	146

Stop Event

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

Compiler

Compiled 108 to 59 computations (45.4% saved)

preprocess48.0ms (1.3%)

Memory: 11.6MiB live, 51.7MiB allocated
Compiler: Compiled 192 to 80 computations (58.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze60.0ms (1.7%)

sample874.0ms (24.1%)

explain81.0ms (2.2%)

preprocess122.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify52.0ms (1.4%)

localize19.0ms (0.5%)

series7.0ms (0.2%)

simplify149.0ms (4.1%)

rewrite183.0ms (5.1%)

eval38.0ms (1.1%)

prune6.0ms (0.2%)

simplify33.0ms (0.9%)

localize37.0ms (1%)

series10.0ms (0.3%)

simplify119.0ms (3.3%)

rewrite198.0ms (5.4%)

eval48.0ms (1.3%)

prune5.0ms (0.1%)

simplify49.0ms (1.3%)

localize72.0ms (2%)

series5.0ms (0.1%)

simplify164.0ms (4.5%)

rewrite228.0ms (6.3%)

eval16.0ms (0.5%)

prune101.0ms (2.8%)

regimes10.0ms (0.3%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

regimes24.0ms (0.7%)

bsearch20.0ms (0.6%)

bsearch69.0ms (1.9%)

simplify61.0ms (1.7%)

soundness705.0ms (19.4%)

preprocess48.0ms (1.3%)

end0.0ms (0%)

Profiling