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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze40.0ms (1%)

Memory

-12.7MiB live, 73.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample770.0ms (18.3%)

Memory

-10.8MiB live, 939.8MiB allocated

Samples

480.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-div: 90.0ms (46% of total)

ival-sub: 55.0ms (28.1% of total)

ival-add: 42.0ms (21.5% of total)

ival-true: 6.0ms (3.1% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain95.0ms (2.3%)

Memory

25.2MiB live, 99.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

38.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-div: 4.0ms (42.8% of total)

ival-sub: 3.0ms (32.1% of total)

ival-add: 2.0ms (21.4% of total)

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

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

preprocess129.0ms (3.1%)

Memory

1.3MiB live, 89.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify51.0ms (1.2%)

Memory

-25.7MiB live, 12.3MiB 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

18.5MiB live, 18.5MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (45.1% of total)

ival-sub: 1.0ms (22.6% of total)

ival-add: 1.0ms (22.6% of total)

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

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

series7.0ms (0.2%)

Memory

9.6MiB live, 9.7MiB 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))

simplify189.0ms (4.5%)

Memory

-2.3MiB live, 73.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 25

Calls

Call 1

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

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

rewrite211.0ms (5%)

Memory

-11.3MiB live, 106.2MiB 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))

eval102.0ms (2.4%)

Memory: -8.6MiB live, 74.7MiB allocated
Compiler: Compiled 7 058 to 1 079 computations (84.7% saved)

prune5.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	343	4	347
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	343	5	348

Accuracy

100.0%

Counts

348 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	86.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
▶	64.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	40.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	62.9%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 60 to 42 computations (30% saved)

simplify159.0ms (3.8%)

Memory

-25.7MiB live, 90.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	99
0	25	99
1	35	99
2	59	99
3	106	99
4	193	99
5	434	97
6	885	97
7	2072	97
8	3871	97
9	4579	97
10	4819	97
11	4890	97
12	4901	97
13	5740	97
14	7307	97
0	8229	97

Stop Event

1×	iter limit
1×	node limit
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
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
x
z
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(fma.f64 z x (-.f64 y x))
z
x
(-.f64 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
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
x
z
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 (-.f64 x y) z)))
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(fma.f64 z x (-.f64 y x))
z
x
(-.f64 y x)
y

localize77.0ms (1.8%)

Memory

4.8MiB live, 51.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 z x (-.f64 y x))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
accuracy	8.910375260204201	(/.f64 (fma.f64 z x (-.f64 y x)) z)
accuracy	0.0	(-.f64 y x)
accuracy	0.0078125	(/.f64 (-.f64 y x) z)
accuracy	22.629720456332855	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
accuracy	0.0	(/.f64 y z)
accuracy	38.04498720643982	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
accuracy	0.0	(/.f64 x z)
accuracy	0.015625	(-.f64 x (/.f64 x z))
accuracy	23.77577225915122	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Samples

68.0ms

256×

valid

Compiler

Compiled 177 to 31 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-add: 46.0ms (81% of total)

ival-div: 6.0ms (10.6% of total)

ival-sub: 2.0ms (3.5% of total)

ival-mult: 2.0ms (3.5% of total)

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

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

series13.0ms (0.3%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

11 → 46

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

Outputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(/ x z)
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(+ y (* x (- z 1)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 x)
(* x (- (/ y x) 1))
(/ (* x (- z 1)) z)
(* x (- z 1))
(* x (- (+ z (/ 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)))))
(* -1 (/ (* x (+ 1 (* -1 z))) z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(/ (- (* x z) x) z)
(- (* x z) x)
(- (+ y (* x z)) x)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ 1 (* -1 (/ x y))))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
x
(+ x (* -1 (/ x z)))
(* x z)
(* z (- (+ x (/ y z)) (/ x z)))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) 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) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x)))
2.0ms	z	@	-inf	((+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x)))
2.0ms	x	@	-inf	((+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x)))
1.0ms	x	@	inf	((+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x)))
1.0ms	z	@	0	((+ x (/ (- y x) z)) (- x (/ x z)) (/ x z) (+ x (/ (- y x) z)) (/ y z) (+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (/ (+ (* z x) (- y x)) z) (+ x (/ (- y x) z)) (+ (* z x) (- y x)))

simplify100.0ms (2.4%)

Memory

6.7MiB live, 82.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	292
1	334	242
2	964	242
3	2854	242
4	6856	242
0	8295	234

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 44

Calls

Call 1

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

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

rewrite164.0ms (3.9%)

Memory

-14.0MiB live, 176.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	86
0	25	86
1	102	86
2	911	86
0	8654	86

Stop Event

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

Counts

11 → 497

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

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

eval74.0ms (1.8%)

Memory: 26.5MiB live, 147.2MiB allocated
Compiler: Compiled 15 106 to 1 842 computations (87.8% saved)

prune13.0ms (0.3%)

Memory

-1.1MiB live, 35.5MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	559	1	560
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	559	6	565

Accuracy

100.0%

Counts

565 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	86.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
✓	64.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	28.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	40.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	62.9%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 76 to 52 computations (31.6% saved)

simplify45.0ms (1.1%)

Memory

-25.4MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
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: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
0	12	34
1	21	34
2	32	34
3	54	34
4	96	34
5	178	34
6	361	34
7	681	34
8	981	34
9	1086	34
10	1149	34
11	1213	34
12	1232	34
13	1245	34
14	1269	34
15	1278	34
0	1278	34

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

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

localize20.0ms (0.5%)

Memory

15.3MiB live, 54.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.0078125	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy	22.629720456332855	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
accuracy	29.87612834657404	#s(approx (- y x) (neg.f64 x))

Samples

15.0ms

256×

valid

Compiler

Compiled 55 to 19 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 3.0ms (45.2% of total)

ival-div: 2.0ms (30.1% of total)

ival-add: 1.0ms (15.1% of total)

ival-neg: 1.0ms (15.1% of total)

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

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

series5.0ms (0.1%)

Memory

-24.8MiB live, 14.1MiB allocated

Counts

4 → 27

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)

Outputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(* -1 x)
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* 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
2.0ms	y	@	inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x))
1.0ms	x	@	inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x))
1.0ms	x	@	-inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x))
0.0ms	z	@	0	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x))
0.0ms	x	@	0	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x))

simplify148.0ms (3.5%)

Memory

-8.8MiB live, 125.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	155
1	198	125
2	555	125
3	1593	125
4	3692	125
5	5288	125
6	6752	125
7	7023	125
8	7121	125
9	7121	125
0	8396	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))
(* -1 x)
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* 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 (/.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)
(* 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)
(* -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)
(- 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)
(* 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)
(* -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)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
x

rewrite123.0ms (2.9%)

Memory

11.8MiB live, 166.4MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	12	32
1	57	32
2	451	32
3	5752	28
0	9039	28

Stop Event

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

Counts

4 → 60

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)

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

eval7.0ms (0.2%)

Memory: 16.0MiB live, 16.0MiB allocated
Compiler: Compiled 1 258 to 236 computations (81.2% saved)

prune5.0ms (0.1%)

Memory

-30.6MiB live, 8.6MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	68	7	75

Accuracy

100.0%

Counts

75 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	86.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
✓	64.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	28.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
▶	4.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z))
✓	40.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	62.9%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 91 to 61 computations (33% saved)

simplify44.0ms (1%)

Memory

9.2MiB live, 48.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	10	29
1	16	29
2	27	29
3	46	29
4	89	29
5	161	29
6	354	29
7	674	29
8	970	29
9	1090	29
10	1152	29
11	1216	29
12	1235	29
13	1248	29
14	1272	29
15	1281	29
0	1281	29

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

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

localize16.0ms (0.4%)

Memory

26.9MiB live, 26.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 #s(approx (- y x) x) z)
accuracy	22.629720456332855	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z))
accuracy	62.558167420398604	#s(approx (- y x) x)

Samples

11.0ms

256×

valid

Compiler

Compiled 48 to 17 computations (64.6% saved)

Precisions

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

ival-div: 2.0ms (44.3% of total)

ival-sub: 1.0ms (22.1% of total)

ival-add: 1.0ms (22.1% of total)

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

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

series9.0ms (0.2%)

Memory

-32.8MiB live, 12.0MiB allocated

Counts

3 → 27

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z))
(/.f64 #s(approx (- y x) x) z)
#s(approx (- y x) 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
3.0ms	y	@	inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
3.0ms	y	@	0	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
0.0ms	x	@	inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
0.0ms	x	@	-inf	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
0.0ms	z	@	0	((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))

simplify151.0ms (3.6%)

Memory

29.7MiB live, 106.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	155
1	198	125
2	555	125
3	1593	125
4	3692	125
5	5288	125
6	6752	125
7	7023	125
8	7121	125
9	7121	125
0	8396	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 (/.f64 (-.f64 y x) z) x)
(+ (* -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 (/.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)
(* -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 (/.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)
(- 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)
(* 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)
(* -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)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
x

rewrite166.0ms (4%)

Memory

-6.6MiB live, 148.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	10	27
1	52	27
2	436	27
3	5565	27
0	8410	27

Stop Event

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

Counts

3 → 35

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 9.2MiB live, 9.2MiB allocated
Compiler: Compiled 775 to 127 computations (83.6% saved)

prune20.0ms (0.5%)

Memory

-30.4MiB live, 8.6MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	44	7	51

Accuracy

100.0%

Counts

51 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	86.1%	#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))
✓	64.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	28.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	4.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) x) z))
✓	40.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	62.9%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 182 to 86 computations (52.7% saved)

regimes11.0ms (0.3%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

7 → 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) x) 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 (/.f64 (-.f64 y x) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 (fma.f64 z x (-.f64 y x)) z))

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

Calls

4 calls:

3.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(+.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)

regimes14.0ms (0.3%)

Memory

-28.5MiB live, 17.7MiB 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) x) 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

4 calls:

7.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
82.2%	3	`x`
82.8%	3	`y`
86.0%	3	`z`
73.2%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes51.0ms (1.2%)

Memory

15.7MiB live, 55.3MiB 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) x) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

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

Calls

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
77.6%	3	`x`
80.9%	3	`y`
66.3%	3	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes7.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB 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) x) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
49.5%	5	`z`
42.2%	2	`(+.f64 x (/.f64 (-.f64 y x) z))`
52.0%	3	`x`
55.0%	3	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes11.0ms (0.3%)

Memory

-26.7MiB live, 12.6MiB allocated

Accuracy

Total -23.4b remaining (-61.5%)

Threshold costs -23.4b (-61.5%)

Counts

2 → 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) x) z))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.6%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
40.6%	1	`z`
40.6%	1	`x`
40.6%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch42.0ms (1%)

Memory

0.8MiB live, 38.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.0627498141544567e+65	1.6539699299231646e+74
11.0ms	-1.8835635409798188e+65	-9.77244588511844e+58

Samples

11.0ms

288×

valid

Compiler

Compiled 478 to 372 computations (22.2% saved)

Precisions

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

ival-sub: 2.0ms (40.4% of total)

ival-div: 2.0ms (40.4% of total)

ival-add: 1.0ms (20.2% of total)

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

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

bsearch21.0ms (0.5%)

Memory

33.2MiB live, 33.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	9.36819859918548e+76	2.3711876538580816e+79
11.0ms	-5.213087174483659e+100	-1.9729434007951013e+91

Samples

10.0ms

256×

valid

Compiler

Compiled 394 to 316 computations (19.8% saved)

Precisions

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

ival-div: 2.0ms (45.4% of total)

ival-sub: 1.0ms (22.7% of total)

ival-add: 1.0ms (22.7% of total)

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

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

bsearch35.0ms (0.8%)

Memory

-2.6MiB live, 37.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.020854859096901e-205	1.5071875856598815e-189
21.0ms	-5.54858959655157e+78	-1.3476228353826739e+75

Samples

23.0ms

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 (40.1% of total)

ival-div: 2.0ms (40.1% of total)

ival-add: 1.0ms (20.1% of total)

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

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

simplify84.0ms (2%)

Memory

-14.0MiB live, 64.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	122
1	59	122
2	75	122
3	99	122
4	147	122
5	227	122
6	530	122
7	1993	122
8	3320	122
9	7022	122

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -9800000000000000503067310805497301637043899722578014184144896 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 22000000000000000063196059527754314417137209861914299402661501236936704 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 -229999999999999998397569380430793254499668963870155256385109504983250463018868254725191499776 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 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 -1349999999999999991218969577817821545972252034709678039678491066985586098176 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 3762342382584839/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -9800000000000000503067310805497301637043899722578014184144896 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 22000000000000000063196059527754314417137209861914299402661501236936704 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 -9800000000000000503067310805497301637043899722578014184144896 binary64)) (not (<=.f64 z #s(literal 22000000000000000063196059527754314417137209861914299402661501236936704 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 -229999999999999998397569380430793254499668963870155256385109504983250463018868254725191499776 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 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 -229999999999999998397569380430793254499668963870155256385109504983250463018868254725191499776 binary64)) (not (<=.f64 y #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 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 -1349999999999999991218969577817821545972252034709678039678491066985586098176 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 3762342382584839/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (or (<=.f64 y #s(literal -1349999999999999991218969577817821545972252034709678039678491066985586098176 binary64)) (not (<=.f64 y #s(literal 3762342382584839/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088 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))

soundness912.0ms (21.7%)

Memory

-2.7MiB live, 234.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	292
1	334	242
2	964	242
3	2854	242
4	6856	242
0	8295	234
0	71	173
1	198	125
2	553	125
3	1600	125
4	3692	125
5	5299	125
6	6767	125
7	7045	125
8	7147	125
9	7147	125
0	8403	124

Stop Event

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

Compiler

Compiled 151 to 75 computations (50.3% saved)

preprocess34.0ms (0.8%)

Memory: 6.6MiB live, 43.4MiB allocated
Compiler: Compiled 258 to 92 computations (64.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze40.0ms (1%)

sample770.0ms (18.3%)

explain95.0ms (2.3%)

preprocess129.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify51.0ms (1.2%)

localize15.0ms (0.4%)

series7.0ms (0.2%)

simplify189.0ms (4.5%)

rewrite211.0ms (5%)

eval102.0ms (2.4%)

prune5.0ms (0.1%)

simplify159.0ms (3.8%)

localize77.0ms (1.8%)

series13.0ms (0.3%)

simplify100.0ms (2.4%)

rewrite164.0ms (3.9%)

eval74.0ms (1.8%)

prune13.0ms (0.3%)

simplify45.0ms (1.1%)

localize20.0ms (0.5%)

series5.0ms (0.1%)

simplify148.0ms (3.5%)

rewrite123.0ms (2.9%)

eval7.0ms (0.2%)

prune5.0ms (0.1%)

simplify44.0ms (1%)

localize16.0ms (0.4%)

series9.0ms (0.2%)

simplify151.0ms (3.6%)

rewrite166.0ms (4%)

eval5.0ms (0.1%)

prune20.0ms (0.5%)

regimes11.0ms (0.3%)

regimes14.0ms (0.3%)

regimes51.0ms (1.2%)

regimes7.0ms (0.2%)

regimes11.0ms (0.3%)

bsearch42.0ms (1%)

bsearch21.0ms (0.5%)

bsearch35.0ms (0.8%)

simplify84.0ms (2%)

soundness912.0ms (21.7%)

preprocess34.0ms (0.8%)

end0.0ms (0%)

Profiling