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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze62.0ms (1.6%)

Memory

-0.1MiB live, 44.0MiB 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)

sample780.0ms (20.4%)

Memory

-13.4MiB live, 885.9MiB allocated

Samples

431.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-sub: 86.0ms (43.1% of total)

ival-div: 59.0ms (29.6% of total)

ival-add: 45.0ms (22.6% of total)

ival-true: 6.0ms (3% of total)

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

Bogosity

explain100.0ms (2.6%)

Memory

3.5MiB live, 93.5MiB 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

40.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-div: 4.0ms (40.9% of total)

ival-sub: 3.0ms (30.7% of total)

ival-add: 2.0ms (20.5% of total)

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

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

preprocess57.0ms (1.5%)

Memory

-20.6MiB live, 39.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	58	71
2	107	71
3	141	71
4	191	71
5	249	71
6	304	71
7	336	71
8	357	71
9	373	71
10	388	71
11	401	71
12	412	71
13	415	71
0	6	7
0	9	7
1	13	7
2	17	7
3	18	7
4	20	7
5	21	7
6	23	7
0	23	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB 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	13	18
2	17	18
3	18	18
4	20	18
5	21	18
6	23	18
0	23	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

localize16.0ms (0.4%)

Memory

18.4MiB live, 18.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.00390625	(+.f64 x (/.f64 (-.f64 y x) z))
accuracy	0.01953125	(/.f64 (-.f64 y x) z)

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

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

ival-sub: 1.0ms (21.4% 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

7.4MiB live, 7.4MiB 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))

simplify183.0ms (4.8%)

Memory

-6.8MiB live, 38.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	181
1	193	157
2	557	123
3	1649	123
4	4565	123
5	6807	123
6	7802	123
0	8305	123

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

rewrite255.0ms (6.7%)

Memory

21.1MiB live, 202.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	39	15
2	293	15
3	4368	15
0	9504	15

Stop Event

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

Counts

3 → 156

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

eval26.0ms (0.7%)

Memory: -14.3MiB live, 24.4MiB allocated
Compiler: Compiled 4 628 to 635 computations (86.3% saved)

prune3.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	160	4	164
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	160	5	165

Accuracy

100.0%

Counts

165 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	63.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	40.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	61.1%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 53 to 39 computations (26.4% saved)

simplify4.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x z)
cost-diff	0	(-.f64 (/.f64 x z) x)
cost-diff	0	(/.f64 y z)
cost-diff	2	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
cost-diff	0	(/.f64 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: 0 (0.0ms)

Iter	Nodes	Cost
0	16	86
0	23	84
1	25	84
2	27	84
3	28	84
4	29	84
5	30	84
6	32	84
0	32	84

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (1.3%)

Memory

-14.6MiB live, 31.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y z)
accuracy	0.0	(/.f64 x z)
accuracy	0.0	(-.f64 (/.f64 x z) x)
accuracy	0.7031208716604116	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
accuracy	0.0	(-.f64 y x)
accuracy	0.01953125	(/.f64 (-.f64 y x) z)
accuracy	23.22982415666865	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
accuracy	0.0	(/.f64 y z)
accuracy	37.905684760459835	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
accuracy	0.0	(/.f64 x z)
accuracy	0.0	(-.f64 x (/.f64 x z))
accuracy	24.90806231405581	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Samples

41.0ms

256×

valid

Compiler

Compiled 72 to 13 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sub: 23.0ms (77% of total)

ival-div: 5.0ms (16.7% of total)

ival-add: 1.0ms (3.3% of total)

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

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

series8.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

10 → 36

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	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) (- (/ y z) (- (/ x z) x)) (- (/ x z) 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) (- (/ y z) (- (/ x z) x)) (- (/ x z) 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) (- (/ y z) (- (/ x z) x)) (- (/ x z) x))
1.0ms	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) (- (/ y z) (- (/ x z) x)) (- (/ x z) x))
1.0ms	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) (- (/ y z) (- (/ x z) x)) (- (/ x z) x))

simplify154.0ms (4%)

Memory

11.8MiB live, 67.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	224
1	245	224
2	671	170
3	2030	170
4	5569	170
5	7868	170
0	8065	170

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

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

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

rewrite206.0ms (5.4%)

Memory

9.7MiB live, 195.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	70
0	23	68
1	85	68
2	704	68
0	8814	68

Stop Event

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

Counts

10 → 169

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

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

eval54.0ms (1.4%)

Memory: -22.2MiB live, 23.9MiB allocated
Compiler: Compiled 6 795 to 681 computations (90% saved)

prune5.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	183	7	190

Accuracy

100.0%

Counts

190 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	63.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	25.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	40.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	62.5%	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
✓	61.1%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 84 to 59 computations (29.8% saved)

simplify4.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
0	19	61
1	21	61
2	25	61
3	26	61
4	28	61
5	29	61
6	31	61
0	31	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize380.0ms (9.9%)

Memory

-78.6MiB live, 23.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.01953125	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy	23.22982415666865	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
accuracy	31.544223512101983	#s(approx (- y x) (neg.f64 x))
accuracy	0.0	(/.f64 y z)
accuracy	0.0	(/.f64 x z)
accuracy	0.7226521216604116	(-.f64 (/.f64 y z) (/.f64 x z))
accuracy	23.22982415666865	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))

Samples

20.0ms

256×

valid

Compiler

Compiled 44 to 12 computations (72.7% saved)

Precisions

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

ival-div: 5.0ms (48.2% of total)

ival-sub: 3.0ms (28.9% of total)

ival-add: 1.0ms (9.6% of total)

ival-neg: 1.0ms (9.6% of total)

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

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

series7.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

8 → 30

Calls

Call 1

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

Calls

9 calls:

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

simplify170.0ms (4.4%)

Memory

8.8MiB live, 158.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	170
1	207	170
2	591	136
3	1789	136
4	5002	136
5	7251	136
0	8030	136

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 28

Calls

Call 1

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

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

rewrite206.0ms (5.4%)

Memory

13.5MiB live, 246.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
0	19	56
1	69	56
2	601	56
0	9201	56

Stop Event

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

Counts

8 → 62

Calls

Call 1

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

eval9.0ms (0.2%)

Memory: -18.6MiB live, 26.4MiB allocated
Compiler: Compiled 2 104 to 277 computations (86.8% saved)

prune4.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	70	7	77

Accuracy

100.0%

Counts

77 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	63.7%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	25.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	40.8%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	62.5%	#s(approx (+ x (/ (- y x) z)) (-.f64 (/.f64 y z) (/.f64 x z)))
✓	61.1%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 168 to 82 computations (51.2% saved)

regimes50.0ms (1.3%)

Memory

-13.7MiB live, 53.2MiB 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) (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 (/.f64 y z) (/.f64 x z)))
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))

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

Calls

4 calls:

42.0ms	y
3.0ms	x
3.0ms	z
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes21.0ms (0.6%)

Memory

-32.1MiB live, 15.8MiB 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

4 calls:

15.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
74.8%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`
82.4%	3	`x`
79.6%	3	`y`
89.4%	3	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
78.0%	3	`y`
77.0%	3	`x`
71.2%	5	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
44.4%	3	`z`
40.8%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
49.5%	3	`x`
57.8%	3	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes3.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB 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

3 calls:

1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
40.8%	1	`z`
40.8%	1	`x`
40.8%	1	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

bsearch21.0ms (0.5%)

Memory

-5.4MiB live, 40.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	421471688933163.25	1676802115048744.0
13.0ms	-1.2112655306094122e+24	-1357020338998323.5

Samples

11.0ms

224×

valid

Compiler

Compiled 374 to 292 computations (21.9% saved)

Precisions

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

ival-div: 2.0ms (47.6% of total)

ival-sub: 1.0ms (23.8% of total)

ival-add: 1.0ms (23.8% of total)

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

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

bsearch22.0ms (0.6%)

Memory

6.5MiB live, 53.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.002099478243616294	1.8996128399186327
10.0ms	-9.06151060829023e+76	-1.181721116768176e+75

Samples

11.0ms

240×

valid

Compiler

Compiled 370 to 297 computations (19.7% saved)

Precisions

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

ival-sub: 3.0ms (50.6% of total)

ival-div: 2.0ms (33.7% of total)

ival-add: 1.0ms (16.9% of total)

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

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

bsearch34.0ms (0.9%)

Memory

-8.5MiB live, 42.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.2921446015256975e-55	9.520350048698286e-53
22.0ms	-4.489718863477202e+55	-4.595187948416043e+46

Samples

22.0ms

272×

valid

Compiler

Compiled 469 to 352 computations (24.9% saved)

Precisions

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

ival-sub: 2.0ms (39.4% of total)

ival-div: 2.0ms (39.4% of total)

ival-add: 1.0ms (19.7% of total)

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

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

simplify14.0ms (0.4%)

Memory

-28.5MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	122
1	58	122
2	69	122
3	74	122
4	77	122
5	78	122
6	80	122

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -6200000000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 900000000000000 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 -84000000000000002667500862248867225055530977953149616402178765066911027822592 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 2116691824864133/1125899906842624 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 -46000000000000001205612395927438261355276140544 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 1725436586697641/1725436586697640946858688965569256363112777243042596638790631055949824 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 -6200000000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 900000000000000 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 -6200000000000000000 binary64)) (not (<=.f64 z #s(literal 900000000000000 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 -84000000000000002667500862248867225055530977953149616402178765066911027822592 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 2116691824864133/1125899906842624 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 -84000000000000002667500862248867225055530977953149616402178765066911027822592 binary64)) (not (<=.f64 y #s(literal 2116691824864133/1125899906842624 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 -46000000000000001205612395927438261355276140544 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 1725436586697641/1725436586697640946858688965569256363112777243042596638790631055949824 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 -46000000000000001205612395927438261355276140544 binary64)) (not (<=.f64 y #s(literal 1725436586697641/1725436586697640946858688965569256363112777243042596638790631055949824 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))

soundness848.0ms (22.2%)

Memory

15.4MiB live, 338.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	181
1	193	157
2	557	123
3	1649	123
4	4565	123
5	6807	123
6	7802	123
0	8305	123
0	88	224
1	245	224
2	671	170
3	2030	170
4	5569	170
5	7868	170
0	8065	170

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)

preprocess49.0ms (1.3%)

Memory: -1.4MiB live, 46.0MiB allocated
Compiler: Compiled 258 to 92 computations (64.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	27	72
1	58	71
2	107	71
3	141	71
4	191	71
5	249	71
6	304	71
7	336	71
8	357	71
9	373	71
10	388	71
11	401	71
12	412	71
13	415	71
0	6	7
0	9	7
1	13	7
2	17	7
3	18	7
4	20	7
5	21	7
6	23	7
0	23	7

Iter	Nodes	Cost
0	27	72
1	58	71
2	107	71
3	141	71
4	191	71
5	249	71
6	304	71
7	336	71
8	357	71
9	373	71
10	388	71
11	401	71
12	412	71
13	415	71
0	6	7
0	9	7
1	13	7
2	17	7
3	18	7
4	20	7
5	21	7
6	23	7
0	23	7

start0.0ms (0%)

analyze62.0ms (1.6%)

sample780.0ms (20.4%)

explain100.0ms (2.6%)

preprocess57.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize16.0ms (0.4%)

series7.0ms (0.2%)

simplify183.0ms (4.8%)

rewrite255.0ms (6.7%)

eval26.0ms (0.7%)

prune3.0ms (0.1%)

simplify4.0ms (0.1%)

localize49.0ms (1.3%)

series8.0ms (0.2%)

simplify154.0ms (4%)

rewrite206.0ms (5.4%)

eval54.0ms (1.4%)

prune5.0ms (0.1%)

simplify4.0ms (0.1%)

localize380.0ms (9.9%)

series7.0ms (0.2%)

simplify170.0ms (4.4%)

rewrite206.0ms (5.4%)

eval9.0ms (0.2%)

prune4.0ms (0.1%)

regimes50.0ms (1.3%)

regimes21.0ms (0.6%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch21.0ms (0.5%)

bsearch22.0ms (0.6%)

bsearch34.0ms (0.9%)

simplify14.0ms (0.4%)

soundness848.0ms (22.2%)

preprocess49.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	27	72
1	58	71
2	107	71
3	141	71
4	191	71
5	249	71
6	304	71
7	336	71
8	357	71
9	373	71
10	388	71
11	401	71
12	412	71
13	415	71
0	6	7
0	9	7
1	13	7
2	17	7
3	18	7
4	20	7
5	21	7
6	23	7
0	23	7