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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze39.0ms (0.9%)

Memory

-30.5MiB live, 86.9MiB 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)

sample680.0ms (16%)

Memory

60.0MiB live, 957.9MiB allocated

Samples

446.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-sub: 113.0ms (44.4% of total)

ival-div: 95.0ms (37.3% of total)

ival-add: 37.0ms (14.5% of total)

ival-true: 7.0ms (2.7% of total)

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

Bogosity

explain113.0ms (2.7%)

Memory

-30.3MiB live, 71.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

63.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-add: 42.0ms (85.2% of total)

ival-div: 4.0ms (8.1% of total)

ival-sub: 3.0ms (6.1% of total)

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

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

preprocess213.0ms (5%)

Memory

-20.8MiB live, 57.0MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

simplify95.0ms (2.2%)

Memory

-8.1MiB live, 37.4MiB 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

localize15.0ms (0.4%)

Memory

21.5MiB live, 21.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-sub: 2.0ms (42.7% of total)

ival-div: 2.0ms (42.7% of total)

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

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

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

series7.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB 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))

simplify142.0ms (3.3%)

Memory

3.1MiB live, 42.2MiB 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 (4.3%)

Memory

7.3MiB live, 121.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 338

Calls

Call 1

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

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

eval63.0ms (1.5%)

Memory: -10.4MiB live, 65.6MiB allocated
Compiler: Compiled 7 058 to 1 079 computations (84.7% saved)

prune37.0ms (0.9%)

Memory

-17.0MiB live, 22.7MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Accuracy

100.0%

Counts

348 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
▶	69.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	48.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	56.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 115 to 88 computations (23.5% saved)

simplify47.0ms (1.1%)

Memory

1.7MiB live, 43.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	109
0	34	112
1	51	112
2	93	104
3	195	104
4	446	104
5	752	104
6	1046	104
7	1445	104
8	1590	104
9	1621	104
10	1636	104
11	1648	104
0	1648	104

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize77.0ms (1.8%)

Memory

22.5MiB live, 61.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.0	(-.f64 x y)
accuracy	0.109375	(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
accuracy	0.0	(-.f64 y x)
accuracy	0.00390625	(/.f64 (-.f64 y x) z)
accuracy	19.360528158139452	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
accuracy	0.0	(/.f64 x z)
accuracy	0.01171875	(-.f64 x (/.f64 x z))
accuracy	28.173864827306936	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
accuracy	0.0	(/.f64 y z)
accuracy	32.95804937260403	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
accuracy	0.0	(-.f64 y x)
accuracy	0.00390625	(/.f64 z (-.f64 y x))
accuracy	0.00390625	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))

Samples

31.0ms

256×

valid

Compiler

Compiled 96 to 20 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 10.0ms (53.6% of total)

ival-sub: 4.0ms (21.5% of total)

ival-add: 3.0ms (16.1% of total)

ival-mult: 2.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.4%)

Memory

-7.5MiB live, 31.4MiB allocated

Counts

14 → 64

Calls

Call 1

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

Outputs
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y 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
(+ y (* -1 x))
(* x (- 1 (/ 1 z)))
(/ x z)
(* -1 y)
(- x y)
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (+ 1 (/ 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)
(* x (- (/ y x) 1))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (/ (+ 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 (* -1 (/ y x)))))
(* -1 (* x (- (/ y x) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(+ (* -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 x)
(+ x (* -1 (/ x z)))
(+ x (+ (* -1 (/ x z)) (/ y z)))
(+ x (* -1 y))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ (+ 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 (+ 1 (* -1 (/ x y))))
(* y (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x y))))
(* y (- (/ x y) 1))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (/ (+ (* -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 (- (/ x y) 1)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ z (- y x))
(/ (- (* 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
4.0ms	y	@	0	((/ 1 (/ z (- y x))) (+ x (/ 1 (/ z (- y x)))) (/ z (- y x)) (- y x) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y))
2.0ms	z	@	-inf	((/ 1 (/ z (- y x))) (+ x (/ 1 (/ z (- y x)))) (/ z (- y x)) (- y x) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y))
2.0ms	x	@	inf	((/ 1 (/ z (- y x))) (+ x (/ 1 (/ z (- y x)))) (/ z (- y x)) (- y x) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y))
2.0ms	z	@	0	((/ 1 (/ z (- y x))) (+ x (/ 1 (/ z (- y x)))) (/ z (- y x)) (- y x) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y))
2.0ms	z	@	inf	((/ 1 (/ z (- y x))) (+ x (/ 1 (/ z (- y x)))) (/ z (- y x)) (- y x) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ (- y x) z) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y))

simplify168.0ms (4%)

Memory

24.8MiB live, 174.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	704
1	605	638
2	1736	592
3	6097	586
0	8131	553

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 62

Calls

Call 1

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

rewrite204.0ms (4.8%)

Memory

-10.2MiB live, 237.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	91
0	34	86
1	139	86
2	1161	86
0	8982	86

Stop Event

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

Counts

14 → 966

Calls

Call 1

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

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

eval162.0ms (3.8%)

Memory: 7.8MiB live, 202.8MiB allocated
Compiler: Compiled 14 686 to 2 245 computations (84.7% saved)

prune34.0ms (0.8%)

Memory

1.1MiB live, 38.1MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	714	3	717
Fresh	0	0	0
Picked	1	4	5
Done	1	0	1
Total	716	7	723

Accuracy

100.0%

Counts

723 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.0%	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
✓	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
▶	78.1%	(+.f64 x #s(approx (/ 1 (/ z (- y x))) (/.f64 y z)))
✓	69.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	26.2%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	48.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	56.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 86 to 63 computations (26.7% saved)

simplify68.0ms (1.6%)

Memory

-8.8MiB live, 30.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	90
0	30	90
1	48	90
2	78	86
3	142	85
4	329	85
5	491	85
6	797	85
7	1212	85
8	1695	85
9	1918	85
10	2058	85
11	2128	85
12	2142	85
13	2144	85
14	2147	85
15	2148	85
0	2148	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (1.3%)

Memory

-7.9MiB live, 83.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.0	(neg.f64 y)
accuracy	0.109375	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
accuracy	28.00721523414479	#s(approx (- x y) (neg.f64 y))
accuracy	0.0	(/.f64 y z)
accuracy	0.00390625	(+.f64 x #s(approx (/ 1 (/ z (- y x))) (/.f64 y z)))
accuracy	26.546593075381786	#s(approx (/ 1 (/ z (- y x))) (/.f64 y z))
accuracy	0.0	(neg.f64 x)
accuracy	0.00390625	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy	19.360528158139452	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
accuracy	34.5362048314838	#s(approx (- y x) (neg.f64 x))

Samples

44.0ms

256×

valid

Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions

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

ival-div: 12.0ms (52.5% of total)

ival-sub: 3.0ms (13.1% of total)

ival-add: 3.0ms (13.1% of total)

ival-mult: 2.0ms (8.7% of total)

ival-neg: 2.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-19.3MiB live, 17.8MiB allocated

Counts

11 → 41

Calls

Call 1

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

Outputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(* -1 x)
(* -1 y)
(- x y)
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y x) 1))
x
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (- (/ y x) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(+ x (* -1 (/ x z)))
(+ x (+ (* -1 (/ x z)) (/ y z)))
(+ x (* -1 y))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ 1 (* -1 (/ x y))))
(* 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 (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(/ (- y x) z)
(/ (- (+ y (* 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
3.0ms	z	@	inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ 1 (/ z (- y x)))) (/ 1 (/ z (- y x))) (/ y z) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y))
1.0ms	y	@	inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ 1 (/ z (- y x)))) (/ 1 (/ z (- y x))) (/ y z) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y))
1.0ms	x	@	inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ 1 (/ z (- y x)))) (/ 1 (/ z (- y x))) (/ y z) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y))
1.0ms	z	@	0	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ 1 (/ z (- y x)))) (/ 1 (/ z (- y x))) (/ y z) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y))
1.0ms	y	@	-inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ 1 (/ z (- y x)))) (/ 1 (/ z (- y x))) (/ y z) (+ (* (/ -1 z) (- x y)) x) (/ -1 z) (- x y) (neg y))

simplify167.0ms (3.9%)

Memory

18.8MiB live, 140.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	236
1	238	184
2	660	184
3	1811	184
4	4257	184
5	5964	184
6	6953	184
7	7386	184
8	7447	184
9	7447	184
0	8125	184

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 39

Calls

Call 1

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

rewrite233.0ms (5.5%)

Memory

19.6MiB live, 169.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	81
0	30	77
1	129	77
2	1046	77
0	8515	77

Stop Event

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

Counts

11 → 177

Calls

Call 1

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

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

eval33.0ms (0.8%)

Memory: -8.9MiB live, 28.6MiB allocated
Compiler: Compiled 4 748 to 565 computations (88.1% saved)

prune6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	190	7	197

Accuracy

100.0%

Counts

197 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.0%	(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
✓	99.8%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
✓	78.1%	(+.f64 x #s(approx (/ 1 (/ z (- y x))) (/.f64 y z)))
✓	69.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	26.2%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	48.5%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	56.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 187 to 99 computations (47.1% saved)

regimes20.0ms (0.5%)

Memory

-14.1MiB live, 23.9MiB allocated

Counts

9 → 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))
(+.f64 x #s(approx (/ 1 (/ z (- y x))) (/.f64 y z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (- x y) (neg.f64 y)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))

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

Calls

4 calls:

10.0ms	z
3.0ms	y
3.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
3.0ms	x

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

18.9MiB live, 18.9MiB 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))
(+.f64 x #s(approx (/ 1 (/ z (- y x))) (/.f64 y z)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
89.1%	3	`x`
86.9%	3	`y`
98.9%	3	`z`
88.3%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes10.0ms (0.2%)

Memory

-40.2MiB live, 7.3MiB allocated

Counts

4 → 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))

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

2 calls:

7.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
82.5%	3	`x`
88.3%	3	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes7.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
75.5%	3	`x`
76.8%	3	`y`
58.7%	2	`(+.f64 x (/.f64 (-.f64 y x) z))`
70.4%	5	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.5%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
51.7%	3	`z`
58.9%	3	`x`
57.0%	3	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB 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:

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

Results

Accuracy	Segments	Branch
48.5%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
48.5%	1	`z`
48.5%	1	`y`
48.5%	1	`x`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch25.0ms (0.6%)

Memory

-0.6MiB live, 37.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.0040557350707964e-38	2.7027290655733464e-33
12.0ms	-165.24617846732576	-0.6372332050226106

Samples

13.0ms

272×

valid

Compiler

Compiled 452 to 369 computations (18.4% saved)

Precisions

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

ival-sub: 2.0ms (39.6% of total)

ival-div: 2.0ms (39.6% of total)

ival-add: 1.0ms (19.8% of total)

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

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

bsearch32.0ms (0.8%)

Memory

-29.6MiB live, 44.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.4631736576302054e+32	1.0024243444104928e+51
15.0ms	-3076595022689831400.0	-25674264942.844177

Samples

16.0ms

304×

valid

Compiler

Compiled 504 to 392 computations (22.2% saved)

Precisions

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

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

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

ival-add: 1.0ms (17.4% of total)

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

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

bsearch45.0ms (1.1%)

Memory

3.0MiB live, 51.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.047186722840099e-22	1.3526388653483472e-15
10.0ms	-5.6581371865513316e+23	-5.294535946479742e+19

Samples

11.0ms

272×

valid

Compiler

Compiled 418 to 335 computations (19.9% saved)

Precisions

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

ival-sub: 2.0ms (39.9% of total)

ival-div: 2.0ms (39.9% of total)

ival-add: 1.0ms (20% of total)

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

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

bsearch27.0ms (0.6%)

Memory

2.2MiB live, 40.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.7933328244574723e+112	2.8297790493876304e+138
8.0ms	-6.863688947786046e+75	-5.0120422492441584e+73

Samples

15.0ms

288×

valid

Compiler

Compiled 496 to 372 computations (25% saved)

Precisions

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

ival-sub: 2.0ms (37.8% of total)

ival-div: 2.0ms (37.8% of total)

ival-add: 1.0ms (18.9% of total)

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

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

simplify67.0ms (1.6%)

Memory

5.4MiB live, 42.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	157
1	75	157
2	100	155
3	151	155
4	283	155
5	438	155
6	930	155
7	3617	155
8	6090	155

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 x #s(approx (/ 1 (/ z (- y x))) (/.f64 y z))) (if (<=.f64 z #s(literal 1973027210396719/730750818665451459101842416358141509827966271488 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (+.f64 x #s(approx (/ 1 (/ z (- y x))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -17000000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 15000000000000000913010721715912704 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 y #s(literal -35000000000000002097152 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 2535301200456459/5070602400912917605986812821504 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (<=.f64 x #s(literal -89999999999999996903757277699849130863834366364245302870957226680091934720 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (if (<=.f64 x #s(literal 31000000000000002330409094412064467451614300994924654617970182173090743682514871344600774134030499098276244606204428316127002624 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 x #s(approx (/ 1 (/ z (- y x))) (/.f64 y z))) (if (<=.f64 z #s(literal 1973027210396719/730750818665451459101842416358141509827966271488 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (+.f64 x #s(approx (/ 1 (/ z (- y x))) (/.f64 y z)))))
(if (or (<=.f64 z #s(literal -1 binary64)) (not (<=.f64 z #s(literal 1973027210396719/730750818665451459101842416358141509827966271488 binary64)))) (+.f64 x #s(approx (/ 1 (/ z (- y x))) (/.f64 y z))) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)))
(if (<=.f64 z #s(literal -17000000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 15000000000000000913010721715912704 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (or (<=.f64 z #s(literal -17000000000000000 binary64)) (not (<=.f64 z #s(literal 15000000000000000913010721715912704 binary64)))) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)))
(if (<=.f64 y #s(literal -35000000000000002097152 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 2535301200456459/5070602400912917605986812821504 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (or (<=.f64 y #s(literal -35000000000000002097152 binary64)) (not (<=.f64 y #s(literal 2535301200456459/5070602400912917605986812821504 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 -89999999999999996903757277699849130863834366364245302870957226680091934720 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (if (<=.f64 x #s(literal 31000000000000002330409094412064467451614300994924654617970182173090743682514871344600774134030499098276244606204428316127002624 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))))
(if (or (<=.f64 x #s(literal -89999999999999996903757277699849130863834366364245302870957226680091934720 binary64)) (not (<=.f64 x #s(literal 31000000000000002330409094412064467451614300994924654617970182173090743682514871344600774134030499098276244606204428316127002624 binary64)))) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

soundness1.1s (25.9%)

Memory

3.5MiB live, 399.5MiB 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	6	15
0	9	15
1	46	15
2	408	15
3	5424	15
0	8212	15
0	212	704
1	605	638
2	1736	592
3	6097	586
0	8131	553

Stop Event

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

Compiler

Compiled 212 to 107 computations (49.5% saved)

preprocess32.0ms (0.8%)

Memory: 17.5MiB live, 55.4MiB allocated
Compiler: Compiled 328 to 116 computations (64.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze39.0ms (0.9%)

sample680.0ms (16%)

explain113.0ms (2.7%)

preprocess213.0ms (5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify95.0ms (2.2%)

localize15.0ms (0.4%)

series7.0ms (0.2%)

simplify142.0ms (3.3%)

rewrite183.0ms (4.3%)

eval63.0ms (1.5%)

prune37.0ms (0.9%)

simplify47.0ms (1.1%)

localize77.0ms (1.8%)

series17.0ms (0.4%)

simplify168.0ms (4%)

rewrite204.0ms (4.8%)

eval162.0ms (3.8%)

prune34.0ms (0.8%)

simplify68.0ms (1.6%)

localize54.0ms (1.3%)

series10.0ms (0.2%)

simplify167.0ms (3.9%)

rewrite233.0ms (5.5%)

eval33.0ms (0.8%)

prune6.0ms (0.1%)

regimes20.0ms (0.5%)

regimes10.0ms (0.2%)

regimes10.0ms (0.2%)

regimes7.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch25.0ms (0.6%)

bsearch32.0ms (0.8%)

bsearch45.0ms (1.1%)

bsearch27.0ms (0.6%)

simplify67.0ms (1.6%)

soundness1.1s (25.9%)

preprocess32.0ms (0.8%)

end0.0ms (0%)

Profiling