Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.4s (29.8%)

Memory

57.3MiB live, 1 705.9MiB allocated; 317ms collecting garbage

Samples

867.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 505.0ms

ival-mult: 245.0ms (48.5% of total)

ival-div: 141.0ms (27.9% of total)

ival-sub: 98.0ms (19.4% of total)

exact: 9.0ms (1.8% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 4.0ms (0.8% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain134.0ms (2.9%)

Memory

-12.2MiB live, 126.4MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 8 binary64)`
-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
-	-	`z`
-	-	`(*.f64 x y)`
-	-	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
-	-	`(/.f64 z #s(literal 8 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`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

64.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

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

ival-mult: 23.0ms (67.7% of total)

ival-div: 7.0ms (20.6% of total)

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

exact: 1.0ms (2.9% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess28.0ms (0.6%)

Memory

30.4MiB live, 30.4MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	90
1	52	88
2	70	84
3	80	84
4	81	84
0	9	9
0	13	9
1	18	9
2	23	9
3	24	9
0	24	9

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Symmetry

(sort x y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Compiler

Compiled 9 to 9 computations (0% saved)

simplify21.0ms (0.4%)

Memory

-42.5MiB live, 6.6MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 z #s(literal 8 binary64))
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 (*.f64 x y) #s(literal 2 binary64))
cost-diff	0	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	13	25
1	18	25
2	23	25
3	24	25
0	24	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)

localize38.0ms (0.8%)

Memory

38.9MiB live, 38.9MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 z #s(literal 8 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
accuracy	0.0078125	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Samples

27.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 7.0ms (52.4% of total)

ival-mult: 3.0ms (22.5% of total)

ival-sub: 2.0ms (15% of total)

exact: 1.0ms (7.5% of total)

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

adjust: 0.0ms (0% of total)

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

series33.0ms (0.7%)

Memory

-28.8MiB live, 14.9MiB allocated; 9ms collecting garbage

Counts

4 → 12

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(/.f64 z #s(literal 8 binary64))

Outputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
2.0ms	z	@	0	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
2.0ms	x	@	0	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
1.0ms	z	@	inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
1.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))

simplify268.0ms (5.7%)

Memory

7.2MiB live, 191.3MiB allocated; 79ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	86
1	128	86
2	433	86
3	1165	86
4	3282	86
5	6444	86
0	8044	78

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* x y)
(*.f64 y x)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))

rewrite158.0ms (3.4%)

Memory

8.7MiB live, 288.9MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
0	13	20
1	45	20
2	301	20
3	4767	20
0	8947	20

Stop Event

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

Counts

4 → 112

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(/.f64 z #s(literal 8 binary64))

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64)))) (fma.f64 (/.f64 z #s(literal 8 binary64)) (-.f64 (/.f64 z #s(literal 8 binary64)) (/.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (.f64 y #s(literal -8 binary64)) (.f64 (neg.f64 z) #s(literal -2 binary64)))) #s(literal 16 binary64))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) (.f64 #s(literal 8 binary64) y) (.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -8 binary64) (.f64 y x) (.f64 (neg.f64 z) #s(literal 2 binary64)))) #s(literal -16 binary64))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 z #s(literal 2 binary64)))) #s(literal 16 binary64))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (.f64 z (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 z #s(literal 2 binary64)))) #s(literal 128 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 z (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 z #s(literal 2 binary64)))) #s(literal 128 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 z (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 2097152 binary64)) (pow.f64 (/.f64 (.f64 y x) #s(literal -2 binary64)) #s(literal 6 binary64)))) (fma.f64 (/.f64 (.f64 z (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 z #s(literal 2 binary64)))) #s(literal 128 binary64)) (-.f64 (/.f64 (.f64 z (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 z #s(literal 2 binary64)))) #s(literal 128 binary64)) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 y x) #s(literal -2 binary64)) #s(literal 4 binary64))))
(.f64 (fma.f64 (/.f64 x #s(literal 2 binary64)) y (/.f64 z #s(literal 8 binary64))) (/.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 (/.f64 x #s(literal 2 binary64)) y (/.f64 z #s(literal 8 binary64)))))
(.f64 (fma.f64 (/.f64 (.f64 y z) #s(literal 16 binary64)) x (fma.f64 z (/.f64 z #s(literal 64 binary64)) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (.f64 z #s(literal 1/8 binary64))) (fma.f64 (/.f64 (.f64 y z) #s(literal 16 binary64)) x (fma.f64 z (/.f64 z #s(literal 64 binary64)) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y (/.f64 z #s(literal 8 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y (/.f64 z #s(literal 8 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y (/.f64 z #s(literal 8 binary64)))) (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y (/.f64 z #s(literal 8 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (.f64 y z) #s(literal 16 binary64)) x (fma.f64 z (/.f64 z #s(literal 64 binary64)) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (.f64 y z) #s(literal 16 binary64)) x (fma.f64 z (/.f64 z #s(literal 64 binary64)) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (.f64 y z) #s(literal 16 binary64)) x (fma.f64 z (/.f64 z #s(literal 64 binary64)) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (.f64 y z) #s(literal 16 binary64)) x (fma.f64 z (/.f64 z #s(literal 64 binary64)) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 1/8 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 x #s(literal 2 binary64)) y (/.f64 z #s(literal 8 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y (/.f64 z #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y (/.f64 z #s(literal 8 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y (/.f64 z #s(literal 8 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y (/.f64 z #s(literal 8 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y (/.f64 z #s(literal 8 binary64)))) (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x #s(literal 2 binary64)) y (/.f64 z #s(literal 8 binary64))))))))
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(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 x) y))) (exp.f64 (log.f64 #s(literal -2 binary64))))
(/.f64 (exp.f64 (log.f64 (*.f64 y x))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (neg.f64 z))) (exp.f64 (log.f64 #s(literal -8 binary64))))
(/.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 #s(literal 8 binary64))))
(/.f64 (neg.f64 z) #s(literal -8 binary64))
(/.f64 z #s(literal 8 binary64))
(neg.f64 (/.f64 z #s(literal -8 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(literal 8 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 z #s(literal 8 binary64))))
(+.f64 (cosh.f64 (log.f64 (/.f64 z #s(literal 8 binary64)))) (sinh.f64 (log.f64 (/.f64 z #s(literal 8 binary64)))))

eval17.0ms (0.4%)

Memory: 8.7MiB live, 62.9MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 921 to 432 computations (85.2% saved)

prune2.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	3	118

Accuracy

100.0%

Counts

118 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
▶	100.0%	#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
▶	47.1%	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Status

Accuracy

Program

▶

100.0%

(-.f64 (*.f64 (*.f64 y x) #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))

▶

100.0%

#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))

▶

47.1%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 40 to 36 computations (10% saved)

simplify11.0ms (0.2%)

Memory

-12.5MiB live, 33.1MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z #s(literal 1/8 binary64))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) #s(literal 1/2 binary64))
cost-diff	1	(-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
cost-diff	0	(*.f64 #s(literal -1/8 binary64) z)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
cost-diff	0	#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
cost-diff	0	(*.f64 #s(literal -1/8 binary64) z)
cost-diff	0	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	80
0	29	79
1	50	79
2	83	79
3	138	79
4	185	79
5	225	79
6	253	79
7	261	79
0	261	79

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
(-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(*.f64 y x)
y
x
#s(literal 1/2 binary64)
(*.f64 z #s(literal 1/8 binary64))
z
#s(literal 1/8 binary64)

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
y
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
(-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(*.f64 y x)
y
x
#s(literal 1/2 binary64)
(*.f64 z #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
z
#s(literal 1/8 binary64)

localize48.0ms (1%)

Memory

16.2MiB live, 161.0MiB allocated; 7ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z #s(literal 1/8 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
accuracy	0.0078125	(.f64 (.f64 y x) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	(*.f64 #s(literal -1/8 binary64) z)
accuracy	0.0	#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
accuracy	0.00390625	(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
accuracy	0.0	(*.f64 #s(literal -1/8 binary64) z)
accuracy	33.86910344172148	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Samples

34.0ms

256×

valid

Compiler

Compiled 70 to 22 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 12.0ms (60% of total)

ival-div: 3.0ms (15% of total)

ival-sub: 2.0ms (10% of total)

ival-add: 1.0ms (5% of total)

exact: 1.0ms (5% of total)

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

adjust: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-27.5MiB live, 19.3MiB allocated; 2ms collecting garbage

Counts

9 → 13

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(*.f64 y x)
(*.f64 z #s(literal 1/8 binary64))

Outputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 x)
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x) (- (* (* y x) 1/2) (* z 1/8)) (* (* y x) 1/2) (* y x) (* z 1/8))
1.0ms	x	@	0	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x) (- (* (* y x) 1/2) (* z 1/8)) (* (* y x) 1/2) (* y x) (* z 1/8))
1.0ms	x	@	inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x) (- (* (* y x) 1/2) (* z 1/8)) (* (* y x) 1/2) (* y x) (* z 1/8))
1.0ms	z	@	inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x) (- (* (* y x) 1/2) (* z 1/8)) (* (* y x) 1/2) (* y x) (* z 1/8))
1.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (- (/ (* x y) 2) (/ z 8)) (+ (* (* 1/2 x) y) (* -1/8 z)) (* 1/2 x) (- (* (* y x) 1/2) (* z 1/8)) (* (* y x) 1/2) (* y x) (* z 1/8))

simplify262.0ms (5.6%)

Memory

17.1MiB live, 305.2MiB allocated; 129ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	89
1	128	89
2	434	89
3	1166	89
4	3274	89
5	6465	89
0	8065	81

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 x)
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))

rewrite185.0ms (3.9%)

Memory

-10.4MiB live, 274.2MiB allocated; 88ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	65
0	29	64
1	105	64
2	681	64
0	8589	64

Stop Event

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

Counts

9 → 171

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(*.f64 y x)
(*.f64 z #s(literal 1/8 binary64))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (neg.f64 z))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(neg.f64 (*.f64 #s(literal 1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y)))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (*.f64 #s(literal 1/2 binary64) x) y)))))
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(fma.f64 y (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) z))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 #s(literal -1/8 binary64) z))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) (*.f64 #s(literal -1/8 binary64) z))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z (fma.f64 #s(literal 1/64 binary64) z (.f64 (.f64 y x) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z (fma.f64 #s(literal 1/64 binary64) z (.f64 (*.f64 y x) #s(literal -1/16 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal -1/8 binary64) z))
(-.f64 (.f64 #s(literal 1/8 binary64) z) (.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) (.f64 #s(literal -1/16 binary64) z))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) (*.f64 #s(literal -1/16 binary64) z))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) (.f64 #s(literal -1/16 binary64) z))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/64 binary64) z) z (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) (*.f64 #s(literal -1/16 binary64) z))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z (fma.f64 #s(literal 1/64 binary64) z (.f64 (.f64 y x) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z (fma.f64 #s(literal 1/64 binary64) z (.f64 (*.f64 y x) #s(literal -1/16 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z (fma.f64 #s(literal 1/64 binary64) z (.f64 (.f64 y x) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z (fma.f64 #s(literal 1/64 binary64) z (.f64 (*.f64 y x) #s(literal -1/16 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))) (/.f64 (.f64 (neg.f64 z) (.f64 #s(literal 1/64 binary64) z)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal 1/8 binary64) z))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (.f64 #s(literal 1/8 binary64) z) (.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) y))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(.f64 x (.f64 y #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal -1/8 binary64) (neg.f64 z))
(*.f64 z #s(literal 1/8 binary64))
(neg.f64 (*.f64 #s(literal -1/8 binary64) z))

eval17.0ms (0.4%)

Memory: -8.1MiB live, 37.5MiB allocated; 7ms collecting garbage
Compiler: Compiled 3 205 to 351 computations (89% saved)

prune10.0ms (0.2%)

Memory

29.9MiB live, 29.9MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	113	2	115

Accuracy

100.0%

Counts

115 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)))
✓	47.1%	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify14.0ms (0.3%)

Memory

-27.7MiB live, 18.1MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal -1/8 binary64) z)
cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
cost-diff	0	#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
0	19	37
1	34	37
2	58	37
3	99	37
4	153	37
5	189	37
6	225	37
7	235	37
0	235	37

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
x
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z)))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
y
#s(literal 1/2 binary64)
x
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z

localize35.0ms (0.7%)

Memory

19.8MiB live, 76.2MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
accuracy	0.0	(*.f64 y #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 #s(literal -1/8 binary64) z)
accuracy	0.0	#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)))

Samples

27.0ms

256×

valid

Compiler

Compiled 31 to 17 computations (45.2% saved)

Precisions

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

ival-mult: 7.0ms (52% of total)

ival-div: 3.0ms (22.3% of total)

ival-sub: 1.0ms (7.4% of total)

ival-add: 1.0ms (7.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

4 → 11

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal -1/8 binary64) z)

Outputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* 1/2 y)
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	((- (/ (* x y) 2) (/ z 8)) (+ (* (* y 1/2) x) (* -1/8 z)) (* y 1/2) (* -1/8 z))
0.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (+ (* (* y 1/2) x) (* -1/8 z)) (* y 1/2) (* -1/8 z))
0.0ms	z	@	inf	((- (/ (* x y) 2) (/ z 8)) (+ (* (* y 1/2) x) (* -1/8 z)) (* y 1/2) (* -1/8 z))
0.0ms	z	@	-inf	((- (/ (* x y) 2) (/ z 8)) (+ (* (* y 1/2) x) (* -1/8 z)) (* y 1/2) (* -1/8 z))
0.0ms	y	@	0	((- (/ (* x y) 2) (/ z 8)) (+ (* (* y 1/2) x) (* -1/8 z)) (* y 1/2) (* -1/8 z))

simplify254.0ms (5.4%)

Memory

-31.5MiB live, 255.4MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	83
1	128	83
2	434	83
3	1167	83
4	3266	83
5	6443	83
0	8043	75

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* 1/2 y)
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))

rewrite210.0ms (4.5%)

Memory

40.2MiB live, 228.7MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	32
0	19	32
1	73	32
2	509	31
3	7311	31
0	8320	31

Stop Event

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

Counts

4 → 169

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal -1/8 binary64) z)

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z)))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (.f64 z z))) (+.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (/.f64 z #s(literal 8 binary64)) (-.f64 (/.f64 z #s(literal 8 binary64)) (/.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (.f64 z z))) (fma.f64 (neg.f64 x) (.f64 y #s(literal -8 binary64)) (.f64 (neg.f64 z) #s(literal -2 binary64)))) #s(literal 16 binary64))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (.f64 z z))) (fma.f64 (neg.f64 x) (.f64 #s(literal 8 binary64) y) (.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (.f64 z z))) (fma.f64 #s(literal -8 binary64) (.f64 y x) (.f64 (neg.f64 z) #s(literal 2 binary64)))) #s(literal -16 binary64))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (.f64 z z))) (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 z #s(literal 2 binary64)))) #s(literal 16 binary64))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 z #s(literal 8 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 z #s(literal 8 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 z #s(literal 8 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 z #s(literal 8 binary64))) (-.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 z #s(literal 8 binary64))) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal -1/64 binary64) (.f64 z z))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (.f64 #s(literal 1/512 binary64) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z (fma.f64 #s(literal 1/64 binary64) z (.f64 (.f64 y x) #s(literal -1/16 binary64))))))
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(fma.f64 x (/.f64 (.f64 #s(literal 8 binary64) y) #s(literal 16 binary64)) (/.f64 (.f64 #s(literal -2 binary64) z) #s(literal 16 binary64)))
(fma.f64 x (/.f64 (.f64 #s(literal 8 binary64) y) #s(literal 16 binary64)) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (/.f64 (.f64 (pow.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (neg.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) z (.f64 (*.f64 #s(literal 1/2 binary64) y) x))))
(fma.f64 x (/.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (neg.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) z (.f64 (*.f64 #s(literal 1/2 binary64) y) x))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 z) #s(literal 1/8 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (/.f64 (.f64 #s(literal -2 binary64) z) #s(literal 16 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/8 binary64) z))
(-.f64 (/.f64 (.f64 (neg.f64 x) (.f64 y #s(literal -8 binary64))) #s(literal 16 binary64)) (/.f64 (*.f64 (neg.f64 z) #s(literal -2 binary64)) #s(literal 16 binary64)))
(-.f64 (/.f64 (.f64 #s(literal -8 binary64) (.f64 y x)) #s(literal -16 binary64)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal -1/2 binary64) (.f64 y x)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z (-.f64 (.f64 #s(literal 1/64 binary64) z) (.f64 (.f64 y x) #s(literal -1/16 binary64)))))) (/.f64 (.f64 #s(literal 1/512 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z (-.f64 (.f64 #s(literal 1/64 binary64) z) (.f64 (*.f64 y x) #s(literal -1/16 binary64)))))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x))) (.f64 (.f64 #s(literal 1/64 binary64) z) (/.f64 z (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x)))) (/.f64 (.f64 z z) (.f64 #s(literal 64 binary64) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 z #s(literal 8 binary64)) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x)) (/.f64 z #s(literal 8 binary64)) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 #s(literal -2 binary64) z) #s(literal -16 binary64)))
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(-.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z (-.f64 (.f64 #s(literal 1/64 binary64) z) (.f64 (.f64 y x) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z (-.f64 (.f64 #s(literal 1/64 binary64) z) (.f64 (*.f64 y x) #s(literal -1/16 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z (-.f64 (.f64 #s(literal 1/64 binary64) z) (.f64 (.f64 y x) #s(literal -1/16 binary64)))))) (/.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 z (-.f64 (.f64 #s(literal 1/64 binary64) z) (.f64 (*.f64 y x) #s(literal -1/16 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x))) (/.f64 (neg.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) z (.f64 (*.f64 #s(literal 1/2 binary64) y) x))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x)))) (/.f64 (neg.f64 (pow.f64 (/.f64 z #s(literal 8 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) z (.f64 (.f64 #s(literal 1/2 binary64) y) x))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (*.f64 (neg.f64 z) #s(literal 1/8 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (/.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 16 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) y)) x))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) y)))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))

eval76.0ms (1.6%)

Memory: -13.8MiB live, 84.4MiB allocated; 20ms collecting garbage
Compiler: Compiled 7 695 to 714 computations (90.7% saved)

prune7.0ms (0.2%)

Memory

-26.5MiB live, 16.8MiB allocated; 6ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	172	3	175

Accuracy

100.0%

Counts

175 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/8 binary64) z)))

▶

55.1%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))

✓

47.1%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 46 to 40 computations (13% saved)

simplify4.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y x))
cost-diff	0	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
0	15	26
1	23	26
2	35	26
3	38	26
0	38	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
#s(literal 1/2 binary64)
(*.f64 y x)
y
x

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 y x)
y
x

localize26.0ms (0.6%)

Memory

24.5MiB live, 70.6MiB allocated; 3ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0078125	(.f64 #s(literal 1/2 binary64) (.f64 y x))
accuracy	28.76221668587713	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

Samples

19.0ms

256×

valid

Compiler

Compiled 22 to 14 computations (36.4% saved)

Precisions

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

ival-mult: 5.0ms (48.8% of total)

ival-div: 3.0ms (29.3% of total)

ival-sub: 1.0ms (9.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series38.0ms (0.8%)

Memory

-28.4MiB live, 16.2MiB allocated; 5ms collecting garbage

Counts

3 → 11

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 y x)

Outputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	y	@	inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
1.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
0.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
0.0ms	x	@	0	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
0.0ms	x	@	inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))

simplify281.0ms (6%)

Memory

31.1MiB live, 357.4MiB allocated; 104ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	83
1	128	83
2	433	83
3	1164	83
4	3281	83
5	6436	83
0	8036	75

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))

rewrite225.0ms (4.8%)

Memory

-12.4MiB live, 324.6MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
0	15	23
1	51	23
2	314	23
3	4782	23
0	8960	23

Stop Event

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

Counts

3 → 21

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 y x)

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 #s(literal 1/2 binary64) y) x))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(.f64 #s(literal 8 binary64) (/.f64 (.f64 y x) #s(literal 16 binary64)))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(.f64 y (/.f64 (.f64 #s(literal 8 binary64) x) #s(literal 16 binary64)))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 x (/.f64 (.f64 #s(literal 8 binary64) y) #s(literal 16 binary64)))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(/.f64 (.f64 (neg.f64 x) (.f64 #s(literal 8 binary64) y)) #s(literal -16 binary64))
(/.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 16 binary64))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))

eval3.0ms (0.1%)

Memory: 7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 411 to 87 computations (78.8% saved)

prune4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	25	3	28

Accuracy

100.0%

Counts

28 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/8 binary64) z)))

✓

55.1%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))

✓

47.1%

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 128 to 72 computations (43.8% saved)

regimes24.0ms (0.5%)

Memory

-7.2MiB live, 39.3MiB allocated; 4ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)))
(-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)))

Calls

7 calls:

10.0ms	x
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	z
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 z #s(literal 8 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes26.0ms (0.5%)

Memory

-15.3MiB live, 30.0MiB allocated; 4ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))

#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z)))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))

Calls

7 calls:

16.0ms	(*.f64 x y)
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	z
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 z #s(literal 8 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes9.0ms (0.2%)

Memory

26.7MiB live, 26.7MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

Outputs

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))

Calls

7 calls:

1.0ms	(/.f64 z #s(literal 8 binary64))
1.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
72.9%	3	`(/.f64 z #s(literal 8 binary64))`
82.7%	3	`(*.f64 x y)`
82.7%	3	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
68.8%	7	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
70.4%	3	`x`
76.9%	3	`y`
72.9%	3	`z`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes16.0ms (0.3%)

Memory

-31.4MiB live, 23.2MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Calls

7 calls:

10.0ms	(/.f64 z #s(literal 8 binary64))
1.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
47.1%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
47.1%	1	`x`
47.1%	1	`(/.f64 z #s(literal 8 binary64))`
47.1%	1	`z`
47.1%	1	`y`
47.1%	1	`(*.f64 x y)`
47.1%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.235399997953248e-10	1.2193234952975828e-9
0.0ms	-5.5103116869357614e-86	-3.20973233004036e-86

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify41.0ms (0.9%)

Memory

13.5MiB live, 59.1MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	94
1	38	94
2	43	94
3	47	94
4	54	94
5	76	94
6	234	94
7	1899	94
8	3567	94

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
(if (<=.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -3499601159652819/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (if (<=.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 7737125245533627/38685626227668133590597632 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 #s(literal -1/8 binary64) z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z)))
(if (<=.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -3499601159652819/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (if (<=.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 7737125245533627/38685626227668133590597632 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ ( x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(if (or (<=.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -3499601159652819/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (not (<=.f64 (/.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 7737125245533627/38685626227668133590597632 binary64)))) #s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

derivations692.0ms (14.7%)

Memory

11.2MiB live, 435.2MiB allocated; 102ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	86
1	128	86
2	433	86
3	1165	86
4	3282	86
5	6444	86
0	8044	78
0	21	65
0	29	64
1	105	64
2	681	64
0	8589	64
0	42	83
1	128	83
2	434	83
3	1167	83
4	3266	83
5	6443	83
0	8043	75

Stop Event

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

Compiler

Compiled 94 to 32 computations (66% saved)

preprocess62.0ms (1.3%)

Memory: -3.7MiB live, 40.5MiB allocated; 11ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 242 to 112 computations (53.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (29.8%)

explain134.0ms (2.9%)

preprocess28.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.4%)

localize38.0ms (0.8%)

series33.0ms (0.7%)

simplify268.0ms (5.7%)

rewrite158.0ms (3.4%)

eval17.0ms (0.4%)

prune2.0ms (0.1%)

simplify11.0ms (0.2%)

localize48.0ms (1%)

series9.0ms (0.2%)

simplify262.0ms (5.6%)

rewrite185.0ms (3.9%)

eval17.0ms (0.4%)

prune10.0ms (0.2%)

simplify14.0ms (0.3%)

localize35.0ms (0.7%)

series4.0ms (0.1%)

simplify254.0ms (5.4%)

rewrite210.0ms (4.5%)

eval76.0ms (1.6%)

prune7.0ms (0.2%)

simplify4.0ms (0.1%)

localize26.0ms (0.6%)

series38.0ms (0.8%)

simplify281.0ms (6%)

rewrite225.0ms (4.8%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

regimes24.0ms (0.5%)

regimes26.0ms (0.5%)

regimes9.0ms (0.2%)

regimes16.0ms (0.3%)

bsearch1.0ms (0%)

simplify41.0ms (0.9%)

derivations692.0ms (14.7%)

preprocess62.0ms (1.3%)

end0.0ms (0%)

Profiling