Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 10 computations (9.1% saved)

sample1.2s (33.5%)

Memory

8.2MiB live, 1 366.7MiB allocated; 362ms collecting garbage

Samples

784.0ms	8 252×	0	valid
1.0ms	4×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 493.0ms

ival-add: 178.0ms (36.1% of total)

ival-mult: 154.0ms (31.3% of total)

ival-div: 144.0ms (29.2% of total)

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

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain131.0ms (3.8%)

Memory

19.5MiB live, 158.2MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

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

41.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-add: 5.0ms (38.3% of total)

ival-div: 4.0ms (30.7% of total)

ival-mult: 4.0ms (30.7% 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)

preprocess265.0ms (7.6%)

Memory

-17.7MiB live, 321.4MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	92	93
2	220	93
3	341	93
4	481	93
5	758	90
6	2221	90
7	5225	90
0	8	9
0	12	9
1	22	9
2	43	9
3	69	9
4	108	9
5	196	9
6	808	9
7	5265	9
0	8112	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

series11.0ms (0.3%)

Memory

-10.1MiB live, 33.3MiB allocated; 5ms collecting garbage

Counts

8 → 26

Calls

Call 1

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

Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y)))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))))

Calls

9 calls:

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

simplify116.0ms (3.3%)

Memory

-3.7MiB live, 193.3MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	334
1	236	334
2	676	334
3	2515	292
4	7510	292
0	8022	271

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y)))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))))

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

rewrite42.0ms (1.2%)

Memory

35.9MiB live, 87.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	12	26
1	51	26
0	418	24

Stop Event

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

Counts

8 → 47

Calls

Call 1

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

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

eval9.0ms (0.3%)

Memory: -19.3MiB live, 24.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 038 to 190 computations (81.7% saved)

prune5.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	56	7	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	7	64

Accuracy

100.0%

Counts

64 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(+.f64 (+.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)) (.f64 y x)) z)
	72.4%	(+.f64 #s(approx (+ (/ x 2) (* y x)) (*.f64 y x)) z)
▶	100.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
▶	63.3%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
▶	65.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
▶	38.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
▶	36.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 190 to 150 computations (21.1% saved)

series12.0ms (0.3%)

Memory

-15.0MiB live, 29.8MiB allocated; 4ms collecting garbage

Counts

15 → 47

Calls

Call 1

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

Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 z))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 z))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* x (+ 1/2 (/ z x)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (- y -1/2) #s(hole binary64 1/2))
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (- y -1/2) x) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x y)))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (- y -1/2) #s(hole binary64 y))
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y))))))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x y)))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* z (+ 1 (/ (* x (+ 1/2 y)) z)))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1)))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (- y -1/2) y -1/2 x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x))
1.0ms	x	@	-inf	((+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (- y -1/2) y -1/2 x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x))
1.0ms	y	@	-inf	((+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (- y -1/2) y -1/2 x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x))
1.0ms	x	@	inf	((+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (- y -1/2) y -1/2 x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x))
1.0ms	x	@	0	((+ (+ (/ x 2) (* y x)) z) (+ (* (- y -1/2) x) z) (- y -1/2) y -1/2 x z (+ (+ (/ x 2) (* y x)) z) (+ (+ (/ x 2) (* y x)) z) (* y x) (+ (+ (/ x 2) (* y x)) z) (+ (* 1/2 x) z) 1/2 (+ (+ (/ x 2) (* y x)) z) (* (- y -1/2) x))

simplify230.0ms (6.6%)

Memory

28.3MiB live, 171.6MiB allocated; 163ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	559
1	364	559
2	1015	559
3	3335	559
4	6104	559
0	8045	503

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

Calls

Call 1

Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 z))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 z))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* x (+ 1/2 (/ z x)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (- y -1/2) #s(hole binary64 1/2))
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (- y -1/2) x) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x y)))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (- y -1/2) #s(hole binary64 y))
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y))))))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x y)))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* z (+ 1 (/ (* x (+ 1/2 y)) z)))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))))
#s(approx (+ (* 1/2 x) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1)))))

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

rewrite62.0ms (1.8%)

Memory

-11.4MiB live, 75.9MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	95
0	26	95
1	103	95
0	789	90

Stop Event

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

Counts

15 → 53

Calls

Call 1

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

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

eval9.0ms (0.3%)

Memory: 21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 997 to 260 computations (87% saved)

prune14.0ms (0.4%)

Memory

-38.3MiB live, 17.8MiB allocated; 12ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	95	8	103

Accuracy

100.0%

Counts

103 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 #s(approx (/ x 2) (.f64 #s(literal 1/2 binary64) x)) (.f64 y x)) z)
✓	100.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
▶	72.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(approx (- y -1/2) y) x z))
✓	63.3%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	65.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
▶	28.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
✓	38.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓	36.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 117 to 92 computations (21.4% saved)

series7.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Counts

15 → 49

Calls

Call 1

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

Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 z))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (- y -1/2) x) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx (- y -1/2) #s(hole binary64 1/2))
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y)))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x y)))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y))))))
#s(approx (- y -1/2) #s(hole binary64 y))
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x y)))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y)))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* z (+ 1 (/ (* x (+ 1/2 y)) z)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))))

Calls

9 calls:

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

simplify181.0ms (5.2%)

Memory

-1.9MiB live, 130.4MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	589
1	327	589
2	935	589
3	3059	589
4	5698	589
0	8306	538

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 49

Calls

Call 1

Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 z))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (- y -1/2) x) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx (- y -1/2) #s(hole binary64 1/2))
#s(approx (- y -1/2) #s(hole binary64 (+ 1/2 y)))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* x y)))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* x y)))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* y (+ x (* 1/2 (/ x y))))))
#s(approx (- y -1/2) #s(hole binary64 y))
#s(approx (- y -1/2) #s(hole binary64 (* y (+ 1 (* 1/2 (/ 1 y))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* x y)))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* x y)))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* y (+ x (* 1/2 (/ x y))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (* (- y -1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (+ (/ x 2) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* z (+ 1 (/ (* x (+ 1/2 y)) z)))))
#s(approx (+ (+ (/ x 2) (* y x)) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))))
#s(approx (+ (* (- y -1/2) x) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))))

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

rewrite59.0ms (1.7%)

Memory

17.1MiB live, 68.4MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	101
0	29	101
1	120	101
0	936	97

Stop Event

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

Counts

15 → 65

Calls

Call 1

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

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

eval15.0ms (0.4%)

Memory: -20.1MiB live, 23.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 2 259 to 266 computations (88.2% saved)

prune5.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	98	8	106

Accuracy

100.0%

Counts

106 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z))
✓	100.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
✓	72.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(approx (- y -1/2) y) x z))
✓	63.3%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	65.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
✓	28.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
✓	38.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓	36.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 116 to 91 computations (21.6% saved)

series4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

8 → 26

Calls

Call 1

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

Outputs
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 z))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (/ x 2) z) #s(hole binary64 z))
#s(approx (+ (/ x 2) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (/ x 2) z) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (/ x 2) z) #s(hole binary64 (* x (+ 1/2 (/ z x)))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))))
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2)))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x y)))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))))
#s(approx (+ (/ x 2) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z))))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))))
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1)))))

Calls

9 calls:

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

simplify144.0ms (4.1%)

Memory

7.2MiB live, 153.9MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	314
1	239	314
2	648	314
3	2415	286
0	8334	251

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

Inputs
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 z))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* x (+ 1/2 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (/ x 2) z) #s(hole binary64 z))
#s(approx (+ (/ x 2) z) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (/ x 2) #s(hole binary64 (* 1/2 x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 y))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x (+ 1/2 (+ y (/ z x))))))
#s(approx (+ (/ x 2) z) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (/ x 2) z) #s(hole binary64 (* x (+ 1/2 (/ z x)))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (* -1 y) 1/2)))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))))
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ z x)) 1/2)))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (* 1/2 x))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ z (+ (* 1/2 x) (* x y)))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* x y)))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (+ (* 1/2 x) (* x y))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))))
#s(approx (+ (/ x 2) z) #s(hole binary64 (* z (+ 1 (* 1/2 (/ x z))))))
#s(approx (+ (* y x) (+ (/ x 2) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))))
#s(approx (+ (/ x 2) z) #s(hole binary64 (* -1 (* z (- (* -1/2 (/ x z)) 1)))))

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

rewrite53.0ms (1.5%)

Memory

-25.3MiB live, 113.9MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
0	14	35
1	51	35
0	375	35

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

8 → 37

Calls

Call 1

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

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

eval5.0ms (0.2%)

Memory: 16.5MiB live, 16.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 146 to 142 computations (87.6% saved)

prune23.0ms (0.7%)

Memory

-46.2MiB live, 17.6MiB allocated; 26ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	0	0
Picked	1	0	1
Done	0	7	7
Total	50	8	58

Accuracy

100.0%

Counts

58 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.1%	(fma.f64 y x #s(approx (+ (/ x 2) z) (*.f64 #s(literal 1/2 binary64) x)))
✓	100.0%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
✓	72.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(approx (- y -1/2) y) x z))
✓	63.3%	#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z))
✓	65.1%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) x))
✓	28.4%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x))
✓	38.7%	#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
✓	36.5%	#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Compiler

Compiled 279 to 134 computations (52% saved)

regimes30.0ms (0.9%)

Memory

36.0MiB live, 84.9MiB allocated; 3ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	x
4.0ms	z
4.0ms	y
4.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
4.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes19.0ms (0.6%)

Memory

-29.8MiB live, 61.8MiB allocated; 4ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	z
4.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
3.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Results

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

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes13.0ms (0.4%)

Memory

34.3MiB live, 34.3MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

3.0ms	z
3.0ms	x
2.0ms	y
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Results

Accuracy	Segments	Branch
89.8%	4	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
82.0%	3	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
87.1%	3	`x`
98.8%	3	`y`
87.8%	3	`z`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes31.0ms (0.9%)

Memory

-39.7MiB live, 10.1MiB allocated; 7ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))

Results

Accuracy	Segments	Branch
78.9%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
87.9%	3	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB allocated; 0ms collecting garbage

Counts

3 → 4

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
65.3%	4	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
54.7%	5	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
62.4%	4	`x`
60.3%	6	`z`
65.8%	4	`y`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes3.0ms (0.1%)

Memory

8.4MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))
#s(approx (+ (+ (/ x 2) (* y x)) z) z)
#s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))

Calls

2 calls:

1.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms	y

Results

Accuracy	Segments	Branch
61.6%	3	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
61.3%	3	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Outputs
#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
36.5%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
36.5%	1	`z`
36.5%	1	`x`
36.5%	1	`y`
36.5%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch50.0ms (1.4%)

Memory

-36.8MiB live, 54.4MiB allocated; 15ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.555739693637706e-14	3.708796705904214e-13
14.0ms	-17.00809741897907	-6.398453580301701e-11

Samples

12.0ms

256×

valid

Compiler

Compiled 524 to 430 computations (17.9% saved)

Precisions

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

ival-div: 2.0ms (30.9% of total)

ival-add: 2.0ms (30.9% of total)

ival-mult: 2.0ms (30.9% 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)

bsearch39.0ms (1.1%)

Memory

3.1MiB live, 50.2MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	6.393644036923973e+65	6.835745545802611e+68
14.0ms	-8.326306127283783e+22	-11744998.310128063

Samples

25.0ms

288×

valid

Compiler

Compiled 498 to 428 computations (14.1% saved)

Precisions

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

ival-add: 3.0ms (42.2% of total)

ival-div: 2.0ms (28.2% of total)

ival-mult: 2.0ms (28.2% 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)

bsearch48.0ms (1.4%)

Memory

-9.6MiB live, 42.9MiB allocated; 12ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.393644036923973e+65	6.835745545802611e+68
12.0ms	6.073595248213298e-28	2.2130564457763486e-20
8.0ms	-2.054631491156693e-13	-1.2903679674823729e-14

Samples

11.0ms

240×

valid

Compiler

Compiled 636 to 563 computations (11.5% saved)

Precisions

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

ival-div: 2.0ms (35.3% of total)

ival-add: 2.0ms (35.3% of total)

ival-mult: 2.0ms (35.3% 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)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.7544902973253375e-35	5.155241765182267e-33
0.0ms	-3.16881747201018e+179	-1.8634391700651855e+175

Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify80.0ms (2.3%)

Memory

13.7MiB live, 55.7MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	227
1	78	227
2	103	227
3	131	227
4	182	227
5	510	227
6	3667	227

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
(if (<=.f64 y #s(literal -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(approx (- y -1/2) y) x z)) (if (<=.f64 y #s(literal 3565267313141895/9903520314283042199192993792 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(approx (- y -1/2) y) x z))))
(if (<=.f64 y #s(literal -900000000000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 729999999999999973180358394305525088873058097253406841123219963904 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (<=.f64 y #s(literal -3961408125713217/19807040628566084398385987584 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 8014330305721943/348449143727040986586495598010130648530944 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (if (<=.f64 y #s(literal 719999999999999956890636193571049019909512358661613975440218652672 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -199999999999999996091099546963028318915752778493452543828291966300228010772656544918538878468995967298844297195887900676839994006336880488768194581630088140609089562433891216654336 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 y x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 4676805239458889/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
#s(approx (+ (+ (/ x 2) (* y x)) z) z)

Outputs
(fma.f64 y x (+.f64 #s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) z))
#s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 (-.f64 y #s(literal -1/2 binary64)) x z))
(if (<=.f64 y #s(literal -1/2 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(approx (- y -1/2) y) x z)) (if (<=.f64 y #s(literal 3565267313141895/9903520314283042199192993792 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(approx (- y -1/2) y) x z))))
(if (or (<=.f64 y #s(literal -1/2 binary64)) (not (<=.f64 y #s(literal 3565267313141895/9903520314283042199192993792 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(approx (- y -1/2) y) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)))
(if (<=.f64 y #s(literal -900000000000000000000 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 729999999999999973180358394305525088873058097253406841123219963904 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (or (<=.f64 y #s(literal -900000000000000000000 binary64)) (not (<=.f64 y #s(literal 729999999999999973180358394305525088873058097253406841123219963904 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) #s(approx (+ (+ (/ x 2) ( y x)) z) (fma.f64 #s(literal 1/2 binary64) x z)))
(if (<=.f64 y #s(literal -3961408125713217/19807040628566084398385987584 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) (if (<=.f64 y #s(literal 8014330305721943/348449143727040986586495598010130648530944 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 #s(approx (- y -1/2) #s(literal 1/2 binary64)) x)) (if (<=.f64 y #s(literal 719999999999999956890636193571049019909512358661613975440218652672 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x)))))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -199999999999999996091099546963028318915752778493452543828291966300228010772656544918538878468995967298844297195887900676839994006336880488768194581630088140609089562433891216654336 binary64)) #s(approx (+ (+ (/ x 2) ( y x)) z) (.f64 y x)) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 4676805239458889/93536104789177786765035829293842113257979682750464 binary64)) #s(approx (+ (+ (/ x 2) (* y x)) z) z) #s(approx (+ (+ (/ x 2) (* y x)) z) (*.f64 y x))))
(if (or (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal -199999999999999996091099546963028318915752778493452543828291966300228010772656544918538878468995967298844297195887900676839994006336880488768194581630088140609089562433891216654336 binary64)) (not (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (.f64 y x)) #s(literal 4676805239458889/93536104789177786765035829293842113257979682750464 binary64)))) #s(approx (+ (+ (/ x 2) (* y x)) z) (.f64 y x)) #s(approx (+ (+ (/ x 2) ( y x)) z) z))
#s(approx (+ (+ (/ x 2) (* y x)) z) z)

derivations544.0ms (15.6%)

Memory

-12.0MiB live, 375.7MiB allocated; 55ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 227 to 62 computations (72.7% saved)

preprocess45.0ms (1.3%)

Memory: 4.6MiB live, 95.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 472 to 140 computations (70.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (33.5%)

explain131.0ms (3.8%)

preprocess265.0ms (7.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series11.0ms (0.3%)

simplify116.0ms (3.3%)

rewrite42.0ms (1.2%)

eval9.0ms (0.3%)

prune5.0ms (0.1%)

series12.0ms (0.3%)

simplify230.0ms (6.6%)

rewrite62.0ms (1.8%)

eval9.0ms (0.3%)

prune14.0ms (0.4%)

series7.0ms (0.2%)

simplify181.0ms (5.2%)

rewrite59.0ms (1.7%)

eval15.0ms (0.4%)

prune5.0ms (0.1%)

series4.0ms (0.1%)

simplify144.0ms (4.1%)

rewrite53.0ms (1.5%)

eval5.0ms (0.2%)

prune23.0ms (0.7%)

regimes30.0ms (0.9%)

regimes19.0ms (0.6%)

regimes13.0ms (0.4%)

regimes31.0ms (0.9%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

regimes5.0ms (0.2%)

bsearch50.0ms (1.4%)

bsearch39.0ms (1.1%)

bsearch48.0ms (1.4%)

bsearch1.0ms (0%)

simplify80.0ms (2.3%)

derivations544.0ms (15.6%)

preprocess45.0ms (1.3%)

end0.0ms (0%)

Profiling