Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, G

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

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 9 to 9 computations (0% saved)

sample826.0ms (14.8%)

Memory

79.2MiB live, 1 328.0MiB allocated

Samples

546.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-add: 135.0ms (59.7% of total)

ival-mult: 76.0ms (33.6% of total)

ival-true: 6.0ms (2.7% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 4.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain87.0ms (1.6%)

Memory

-11.7MiB live, 88.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
-	-	`(+.f64 z #s(literal 1 binary64))`
-	-	`y`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 x y)`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

32.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

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

ival-add: 6.0ms (59.7% of total)

ival-mult: 3.0ms (29.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess196.0ms (3.5%)

Memory

-13.5MiB live, 75.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	70
1	94	70
2	340	64
3	1743	63
4	3379	63
5	5333	63
6	6516	63
7	6908	63
8	6958	63
9	6986	63
10	7038	63
11	7038	63
12	7038	63
13	7710	63
0	7	7
0	10	7
1	21	7
2	59	7
3	311	7
4	652	7
5	1303	7
6	1728	7
7	1959	7
8	1993	7
0	1993	7

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

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

Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify82.0ms (1.5%)

Memory

-2.3MiB live, 51.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	21	17
2	59	17
3	311	17
4	652	17
5	1303	17
6	1728	17
7	1959	17
8	1993	17
0	1993	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
x
y
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)

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

localize17.0ms (0.3%)

Memory

21.7MiB live, 21.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 z #s(literal 1 binary64))
accuracy	0.0	(+.f64 x y)
accuracy	0.01171875	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Samples

12.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-add: 3.0ms (60.9% of total)

ival-mult: 2.0ms (40.6% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

3 → 22

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 z #s(literal 1 binary64))

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

Calls

9 calls:

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

simplify102.0ms (1.8%)

Memory

-21.4MiB live, 108.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	108
1	231	108
2	981	108
3	3476	108
0	8291	106

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 19

Calls

Call 1

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

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

rewrite305.0ms (5.5%)

Memory

13.0MiB live, 359.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	47	13
2	371	13
3	5412	13
0	8780	13

Stop Event

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

Counts

3 → 326

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 z #s(literal 1 binary64))

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

eval44.0ms (0.8%)

Memory: -9.6MiB live, 137.7MiB allocated
Compiler: Compiled 7 689 to 983 computations (87.2% saved)

prune7.0ms (0.1%)

Memory

-15.4MiB live, 31.1MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	330	5	335
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	331	5	336

Accuracy

100.0%

Counts

336 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
▶	51.8%	(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
▶	50.8%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
▶	53.3%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
▶	49.8%	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))

Compiler

Compiled 110 to 88 computations (20% saved)

simplify48.0ms (0.9%)

Memory

40.3MiB live, 85.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	100
0	30	100
1	55	98
2	129	98
3	457	98
4	1007	98
5	1589	98
6	2051	98
7	2281	98
8	2282	98
9	2282	98
0	2282	98

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize108.0ms (1.9%)

Memory

-28.7MiB live, 115.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x y)
accuracy	0.01171875	(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
accuracy	30.926933311237548	#s(approx (+ z 1) #s(literal 1 binary64))
accuracy	0.0	(+.f64 y x)
accuracy	0.0078125	(*.f64 (+.f64 y x) z)
accuracy	32.09579349585971	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
accuracy	0.0	(fma.f64 z y y)
accuracy	31.470787110653095	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
accuracy	0.0	(fma.f64 z x x)
accuracy	29.884530424584568	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
accuracy	0.0	(fma.f64 z x x)
accuracy	0.0	(+.f64 #s(literal 1 binary64) z)
accuracy	0.00390625	(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))

Samples

98.0ms

256×

valid

Compiler

Compiled 87 to 18 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 19.0ms (60.8% of total)

ival-mult: 12.0ms (38.4% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

28.7MiB live, 28.7MiB allocated

Counts

12 → 43

Calls

Call 1

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

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

Calls

9 calls:

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

simplify151.0ms (2.7%)

Memory

-34.2MiB live, 164.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	219
1	477	219
2	1637	219
3	5364	219
0	8213	209

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 40

Calls

Call 1

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

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

rewrite269.0ms (4.8%)

Memory

28.1MiB live, 399.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	82
0	30	82
1	129	80
2	1256	80
0	8966	80

Stop Event

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

Counts

12 → 1 092

Calls

Call 1

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

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

eval208.0ms (3.7%)

Memory: -17.7MiB live, 210.6MiB allocated
Compiler: Compiled 39 468 to 3 167 computations (92% saved)

prune57.0ms (1%)

Memory

13.6MiB live, 75.7MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 083	3	1 086
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 084	7	1 091

Accuracy

100.0%

Counts

1 091 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.8%	(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
▶	49.9%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
✓	50.8%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓	53.3%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
✓	49.8%	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
▶	26.3%	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
▶	28.6%	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))

Compiler

Compiled 94 to 71 computations (24.5% saved)

simplify46.0ms (0.8%)

Memory

-13.3MiB live, 31.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	88
0	21	88
1	40	86
2	83	86
3	322	86
4	740	86
5	1336	86
6	1817	86
7	2076	86
8	2111	86
0	2111	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
#s(approx (* (+ y x) z) (*.f64 x z))
#s(approx (* (+ y x) z) (*.f64 z x))
(*.f64 x z)
(*.f64 z x)
x
z
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
#s(approx (* (+ y x) z) (*.f64 y z))
#s(approx (* (+ y x) z) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
(fma.f64 z y (*.f64 x z))
(*.f64 z (+.f64 y x))
z
y
(*.f64 x z)
(*.f64 z x)
x

localize46.0ms (0.8%)

Memory

9.8MiB live, 52.1MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 z y (*.f64 x z))
accuracy	0.0	(*.f64 x z)
accuracy	32.09579349585971	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
accuracy	0.0	(*.f64 y z)
accuracy	30.796766454168377	#s(approx (* (+ y x) z) (*.f64 y z))
accuracy	32.09579349585971	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
accuracy	0.0	(*.f64 x z)
accuracy	28.559540727628118	#s(approx (* (+ y x) z) (*.f64 x z))
accuracy	32.09579349585971	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))

Samples

26.0ms

256×

valid

Compiler

Compiled 56 to 15 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (64.7% of total)

ival-add: 5.0ms (32.3% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

8 → 20

Calls

Call 1

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

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

Calls

9 calls:

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

simplify146.0ms (2.6%)

Memory

15.2MiB live, 196.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	110
1	275	110
2	1040	110
3	4195	110
4	7915	110
0	8216	108

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

Calls

Call 1

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

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

rewrite258.0ms (4.6%)

Memory

-28.3MiB live, 360.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	78
0	21	78
1	86	76
2	673	76
0	8367	76

Stop Event

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

Counts

8 → 120

Calls

Call 1

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

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

eval16.0ms (0.3%)

Memory: -3.9MiB live, 42.1MiB allocated
Compiler: Compiled 3 621 to 438 computations (87.9% saved)

prune4.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	0	3	3
Done	1	3	4
Total	133	7	140

Accuracy

100.0%

Counts

140 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.9%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
✓	50.8%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓	53.3%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
▶	51.8%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
✓	49.8%	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
✓	26.3%	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
✓	28.6%	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))

Compiler

Compiled 96 to 71 computations (26% saved)

simplify82.0ms (1.5%)

Memory

-14.5MiB live, 56.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
0	10	16
1	21	16
2	59	16
3	305	16
4	636	16
5	1287	16
6	1709	16
7	1941	16
8	1973	16
0	1973	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.6%)

Memory

-14.9MiB live, 28.6MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 y x)
accuracy	30.839763363166853	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

Samples

13.0ms

256×

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

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

ival-add: 4.0ms (67.7% of total)

ival-mult: 2.0ms (33.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

2 → 18

Calls

Call 1

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

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

Calls

9 calls:

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

simplify123.0ms (2.2%)

Memory

28.1MiB live, 216.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	100
1	220	100
2	963	100
3	3541	100
4	7600	100
0	8056	98

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 16

Calls

Call 1

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

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

rewrite270.0ms (4.8%)

Memory

-3.6MiB live, 137.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
0	10	14
1	55	14
2	496	14
3	6526	14
0	8592	14

Stop Event

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

Counts

2 → 93

Calls

Call 1

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

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

eval102.0ms (1.8%)

Memory: -15.7MiB live, 27.7MiB allocated
Compiler: Compiled 3 270 to 394 computations (88% saved)

prune5.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	100	7	107

Accuracy

100.0%

Counts

107 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.9%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
✓	50.8%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓	53.3%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
✓	51.8%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
✓	49.8%	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
✓	26.3%	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
✓	28.6%	#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))

Compiler

Compiled 217 to 104 computations (52.1% saved)

regimes118.0ms (2.1%)

Memory

20.8MiB live, 63.3MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

101.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(+.f64 x y)
3.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

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

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes61.0ms (1.1%)

Memory

-27.4MiB live, 84.4MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

24.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
23.0ms	z
3.0ms	(+.f64 x y)
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes133.0ms (2.4%)

Memory

-11.9MiB live, 79.2MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))

Calls

6 calls:

97.0ms	y
24.0ms	(+.f64 z #s(literal 1 binary64))
3.0ms	(+.f64 x y)
3.0ms	x
3.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.2%	3	`(+.f64 z #s(literal 1 binary64))`
98.3%	2	`(+.f64 x y)`
84.5%	4	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
85.1%	2	`x`
85.1%	2	`y`
98.2%	3	`z`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes36.0ms (0.7%)

Memory

7.1MiB live, 53.0MiB allocated

Counts

4 → 5

Calls

Call 1

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

Outputs
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))

Calls

6 calls:

27.0ms	y
2.0ms	z
2.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
2.0ms	(+.f64 x y)
2.0ms	x

Results

Accuracy	Segments	Branch
70.0%	3	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
68.6%	2	`y`
69.2%	2	`x`
81.7%	5	`(+.f64 z #s(literal 1 binary64))`
81.7%	5	`z`
76.2%	2	`(+.f64 x y)`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes3.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

3 → 4

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
1.0ms	(+.f64 z #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
79.7%	4	`(+.f64 z #s(literal 1 binary64))`
79.7%	4	`z`

Compiler

Compiled 4 to 8 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	z
1.0ms	(+.f64 x y)
1.0ms	(+.f64 z #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
57.0%	2	`(+.f64 x y)`
77.2%	3	`(+.f64 z #s(literal 1 binary64))`
77.2%	3	`z`

Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes163.0ms (2.9%)

Memory

-52.2MiB live, 23.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

145.0ms	(+.f64 z #s(literal 1 binary64))
1.0ms	x
1.0ms	(+.f64 x y)
1.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
1.0ms	y

Results

Accuracy	Segments	Branch
51.8%	1	`(+.f64 x y)`
51.8%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
51.8%	1	`y`
51.8%	1	`x`
51.8%	1	`(+.f64 z #s(literal 1 binary64))`
51.8%	1	`z`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.873351903667115e-285	9.860502144879587e-241

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch152.0ms (2.7%)

Memory

-2.5MiB live, 47.7MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	2.308053098562619e+100	5.045362299228032e+104
115.0ms	2.184931173874053e+41	4.476828732205075e+50
11.0ms	1.0084747140809284e-10	0.00023679794091274102
11.0ms	-3.809307723751345e-15	-1.3382908794089917e-20

Samples

23.0ms

560×

valid

Compiler

Compiled 957 to 788 computations (17.7% saved)

Precisions

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

ival-add: 6.0ms (59% of total)

ival-mult: 3.0ms (29.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch55.0ms (1%)

Memory

-12.2MiB live, 33.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
32.0ms	2.308053098562619e+100	5.045362299228032e+104
10.0ms	2.184931173874053e+41	4.476828732205075e+50
10.0ms	-657.2275850628375	-0.43679787427499583

Samples

11.0ms

256×

valid

Compiler

Compiled 758 to 612 computations (19.3% saved)

Precisions

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

ival-add: 3.0ms (63.6% of total)

ival-mult: 2.0ms (42.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.00023679794091274102	193.36048444578984
1.0ms	-657.2275850628375	-0.43679787427499583

Samples

6.0ms

144×

valid

Compiler

Compiled 486 to 404 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 1.0ms (37.6% of total)

ival-mult: 1.0ms (37.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify58.0ms (1%)

Memory

-7.6MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	253
1	67	253
2	101	253
3	339	253
4	821	253
5	1469	253
6	1805	253
7	1845	253

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -5357543035931337/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 z #s(literal -602134035108409/158456325028528675187087900672 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 z #s(literal 3771848557197643/2417851639229258349412352 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 z #s(literal 34999999999999997478122585847332822622741410611200 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 z #s(literal 48000000000000002317473887049059322983701406565752475984875843518901243107867756883028084096279511040 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 y z))) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))))))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 x z))) (if (<=.f64 z #s(literal 219999999999999989758331150789272225710080 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 z #s(literal 48000000000000002317473887049059322983701406565752475984875843518901243107867756883028084096279511040 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 y z))) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z))))))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 x z))) (if (<=.f64 z #s(literal 3602879701896397/562949953421312 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

Outputs
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -5357543035931337/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 z #s(literal -602134035108409/158456325028528675187087900672 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 z #s(literal 3771848557197643/2417851639229258349412352 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 z #s(literal 34999999999999997478122585847332822622741410611200 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 z #s(literal 48000000000000002317473887049059322983701406565752475984875843518901243107867756883028084096279511040 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 y z))) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))))))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 x z))) (if (<=.f64 z #s(literal 219999999999999989758331150789272225710080 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 z #s(literal 48000000000000002317473887049059322983701406565752475984875843518901243107867756883028084096279511040 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 y z))) #s(approx ( (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z))))))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 x z))) (if (<=.f64 z #s(literal 3602879701896397/562949953421312 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))))
(if (or (<=.f64 z #s(literal -1 binary64)) (not (<=.f64 z #s(literal 3602879701896397/562949953421312 binary64)))) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (.f64 x z))) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

soundness993.0ms (17.8%)

Memory

32.9MiB live, 692.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	110
1	275	110
2	1040	110
3	4195	110
4	7915	110
0	8216	108
0	59	108
1	231	108
2	981	108
3	3476	108
0	8291	106
0	120	219
1	477	219
2	1637	219
3	5364	219
0	8213	209
0	7	13
0	10	13
1	47	13
2	371	13
3	5412	13
0	8780	13

Stop Event

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

Compiler

Compiled 338 to 163 computations (51.8% saved)

preprocess115.0ms (2.1%)

Memory: 4.7MiB live, 147.2MiB allocated
Compiler: Compiled 556 to 148 computations (73.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample826.0ms (14.8%)

explain87.0ms (1.6%)

preprocess196.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify82.0ms (1.5%)

localize17.0ms (0.3%)

series4.0ms (0.1%)

simplify102.0ms (1.8%)

rewrite305.0ms (5.5%)

eval44.0ms (0.8%)

prune7.0ms (0.1%)

simplify48.0ms (0.9%)

localize108.0ms (1.9%)

series11.0ms (0.2%)

simplify151.0ms (2.7%)

rewrite269.0ms (4.8%)

eval208.0ms (3.7%)

prune57.0ms (1%)

simplify46.0ms (0.8%)

localize46.0ms (0.8%)

series7.0ms (0.1%)

simplify146.0ms (2.6%)

rewrite258.0ms (4.6%)

eval16.0ms (0.3%)

prune4.0ms (0.1%)

simplify82.0ms (1.5%)

localize33.0ms (0.6%)

series2.0ms (0%)

simplify123.0ms (2.2%)

rewrite270.0ms (4.8%)

eval102.0ms (1.8%)

prune5.0ms (0.1%)

regimes118.0ms (2.1%)

regimes61.0ms (1.1%)

regimes133.0ms (2.4%)

regimes36.0ms (0.7%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

regimes163.0ms (2.9%)

bsearch1.0ms (0%)

bsearch152.0ms (2.7%)

bsearch55.0ms (1%)

bsearch14.0ms (0.2%)

simplify58.0ms (1%)

soundness993.0ms (17.8%)

preprocess115.0ms (2.1%)

end0.0ms (0%)

Profiling