Metrics for SynthBasics:oscSampleBasedAux from YampaSynth-0.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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 8 computations (11.1% saved)

sample838.0ms (19%)

Memory

-7.9MiB live, 697.5MiB allocated

Samples

602.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-mult: 86.0ms (42.2% of total)

ival-add: 60.0ms (29.5% of total)

ival-sub: 49.0ms (24.1% of total)

ival-true: 6.0ms (2.9% of total)

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

Bogosity

explain59.0ms (1.3%)

Memory

20.3MiB live, 97.9MiB allocated

FPErrors

Click to see full error table

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

23.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-sub: 3.0ms (33.6% of total)

ival-mult: 3.0ms (33.6% of total)

ival-add: 2.0ms (22.4% of total)

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

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

preprocess72.0ms (1.6%)

Memory

-11.5MiB live, 34.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	68	63
2	208	63
3	752	63
4	1463	63
5	2204	63
6	2481	63
7	2529	63
8	2529	63
0	6	7
0	9	7
1	13	7
2	24	7
3	48	7
4	84	7
5	130	7
6	220	7
7	398	7
8	625	7
9	715	7
10	741	7
0	741	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify21.0ms (0.5%)

Memory

-18.6MiB live, 19.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 z x)
cost-diff	0	(*.f64 y (-.f64 z x))
cost-diff	128	(+.f64 x (*.f64 y (-.f64 z x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	398	18
8	625	18
9	715	18
10	741	18
0	741	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.3%)

Memory

20.4MiB live, 20.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 z x)
accuracy	0.00390625	(+.f64 x (*.f64 y (-.f64 z x)))
accuracy	0.0078125	(*.f64 y (-.f64 z x))

Samples

11.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 2.0ms (46.1% of total)

ival-sub: 1.0ms (23.1% of total)

ival-add: 1.0ms (23.1% of total)

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

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

series5.0ms (0.1%)

Memory

6.8MiB live, 6.9MiB allocated

Counts

3 → 29

Calls

Call 1

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

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

Calls

9 calls:

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

simplify131.0ms (3%)

Memory

-0.7MiB live, 116.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	185
1	242	137
2	753	137
3	2142	137
4	4521	137
5	6578	137
6	7957	137
0	8269	128

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 27

Calls

Call 1

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

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

rewrite216.0ms (4.9%)

Memory

-30.9MiB live, 179.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	36	15
2	286	15
3	3844	15
0	10923	14

Stop Event

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

Counts

3 → 258

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) (+.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 (-.f64 z x) y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y)) (-.f64 (.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 z x) y) (fma.f64 (-.f64 z x) y x) (.f64 x x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 (.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (fma.f64 (-.f64 z x) y x))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x (.f64 (-.f64 z x) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 x (.f64 (-.f64 z x) y)) #s(literal -1 binary64)) (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) y x))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (.f64 (-.f64 z x) y)) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) (/.f64 (fma.f64 (-.f64 z x) y x) (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (*.f64 x x))))
(.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) (.f64 (fma.f64 (-.f64 z x) y x) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 (-.f64 z x) y) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (-.f64 x (*.f64 (-.f64 z x) y))))
(.f64 (fma.f64 (-.f64 z x) y x) (.f64 (-.f64 x (.f64 (-.f64 z x) y)) (pow.f64 (-.f64 x (.f64 (-.f64 z x) y)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (-.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)) (.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 z x) y (neg.f64 x))) (.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (.f64 x x))) (pow.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 (-.f64 x (.f64 (-.f64 z x) y)))) (.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) (neg.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))))) (.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y)))))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (-.f64 x (.f64 (-.f64 z x) y))) (.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (.f64 (neg.f64 (-.f64 x (.f64 (-.f64 z x) y))) (-.f64 x (*.f64 (-.f64 z x) y))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (.f64 (-.f64 z x) y)))) (.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (.f64 x x)) (neg.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))))) (.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (.f64 x x)) (neg.f64 (-.f64 x (.f64 (-.f64 z x) y)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (.f64 x x)) #s(literal 1 binary64))) (.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (.f64 x x)) (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x (.f64 (-.f64 z x) y))) (.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (.f64 x x)) (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 x (.f64 (-.f64 z x) y)) (.f64 x x)) (-.f64 x (.f64 (-.f64 z x) y))))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 x (.f64 (-.f64 z x) y)))) (.f64 (-.f64 x (.f64 (-.f64 z x) y)) (neg.f64 (pow.f64 (.f64 (-.f64 z x) y) #s(literal 2 binary64))))) (.f64 (-.f64 x (.f64 (-.f64 z x) y)) (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y)))))
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(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 z z (.f64 x x)) (pow.f64 z #s(literal 4 binary64))) (+.f64 z x)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 z x) #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (.f64 z z))))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z)))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 z z)) #s(literal 1 binary64)) (+.f64 z x))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 z x)) (.f64 (+.f64 z x) (.f64 x x))) (pow.f64 (+.f64 z x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z))) (.f64 (fma.f64 (+.f64 z x) x (.f64 z z)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 z x) (fma.f64 z z (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (fma.f64 (+.f64 z x) x (.f64 z z)) (+.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 z x) (fma.f64 (.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 z x) x (.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (+.f64 z x))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 z z) (.f64 (neg.f64 x) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z)))
(neg.f64 (neg.f64 (-.f64 z x)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (-.f64 (.f64 z z) (.f64 (+.f64 z x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z)))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 z x) x) (-.f64 (.f64 (+.f64 z x) x) (.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (/.f64 (.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (.f64 z z)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (/.f64 (.f64 z z) (fma.f64 (neg.f64 x) x (.f64 z z))) (-.f64 z x) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z)))))
(fma.f64 #s(literal -1 binary64) x z)
(fma.f64 (.f64 z z) (/.f64 z (fma.f64 (+.f64 z x) x (.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (.f64 z z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z)))))
(fma.f64 z (/.f64 (.f64 z z) (fma.f64 (+.f64 z x) x (.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 z (/.f64 z (+.f64 z x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 x #s(literal -1 binary64) z)
(-.f64 (+.f64 z #s(literal 0 binary64)) x)
(-.f64 #s(literal 0 binary64) (-.f64 x z))
(-.f64 (.f64 z (/.f64 z (+.f64 z x))) (.f64 x (/.f64 x (+.f64 z x))))
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z))))
(-.f64 z x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 z (/.f64 z (+.f64 z x))) (neg.f64 (.f64 x (/.f64 x (+.f64 z x)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (.f64 z z)))))
(+.f64 (neg.f64 x) z)
(+.f64 z (neg.f64 x))

eval34.0ms (0.8%)

Memory: 3.4MiB live, 40.9MiB allocated
Compiler: Compiled 6 918 to 970 computations (86% saved)

prune5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	260	5	265
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	261	5	266

Accuracy

100.0%

Counts

266 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 z x) y x)
▶	99.2%	(fma.f64 z y (fma.f64 (neg.f64 x) y x))
▶	98.8%	(+.f64 x (fma.f64 (neg.f64 x) y (*.f64 z y)))
▶	61.4%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
▶	42.1%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 94 to 72 computations (23.4% saved)

simplify20.0ms (0.4%)

Memory

12.7MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z y)
cost-diff	0	(neg.f64 x)
cost-diff	128	(+.f64 x (fma.f64 (neg.f64 x) y (*.f64 z y)))
cost-diff	320	(fma.f64 (neg.f64 x) y (*.f64 z y))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) y x)
cost-diff	320	(fma.f64 z y (fma.f64 (neg.f64 x) y x))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
cost-diff	0	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ x (* y (- z x))) (*.f64 z y))
cost-diff	0	(-.f64 z x)
cost-diff	0	(fma.f64 (-.f64 z x) y x)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	94
0	31	86
1	54	85
2	85	85
3	132	85
4	220	85
5	355	85
6	532	85
7	676	85
8	713	85
0	713	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (1.1%)

Memory

-16.5MiB live, 63.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z y)
accuracy	0.0	(neg.f64 x)
accuracy	0.00390625	(+.f64 x (fma.f64 (neg.f64 x) y (*.f64 z y)))
accuracy	0.7499917428166807	(fma.f64 (neg.f64 x) y (*.f64 z y))
accuracy	0.0	(fma.f64 (neg.f64 x) y x)
accuracy	0.0	(neg.f64 x)
accuracy	0.5039007452111204	(fma.f64 z y (fma.f64 (neg.f64 x) y x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	24.722490521313556	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy	0.0	(*.f64 z y)
accuracy	37.07460211484556	#s(approx (+ x (* y (- z x))) (*.f64 z y))
accuracy	0.0	(-.f64 z x)
accuracy	0.0078125	(fma.f64 (-.f64 z x) y x)

Samples

38.0ms

256×

valid

Compiler

Compiled 186 to 39 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 12.0ms (47% of total)

ival-add: 6.0ms (23.5% of total)

ival-sub: 4.0ms (15.7% of total)

ival-neg: 3.0ms (11.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

12 → 42

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((+ (* (- z x) y) x) (- z x) (+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* z y) (+ (* (neg x) y) x)) (+ (* (neg x) y) x) (neg x) (+ (* (neg x) y) (* z y)) (+ x (+ (* (neg x) y) (* z y))))
1.0ms	x	@	inf	((+ (* (- z x) y) x) (- z x) (+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* z y) (+ (* (neg x) y) x)) (+ (* (neg x) y) x) (neg x) (+ (* (neg x) y) (* z y)) (+ x (+ (* (neg x) y) (* z y))))
1.0ms	x	@	0	((+ (* (- z x) y) x) (- z x) (+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* z y) (+ (* (neg x) y) x)) (+ (* (neg x) y) x) (neg x) (+ (* (neg x) y) (* z y)) (+ x (+ (* (neg x) y) (* z y))))
1.0ms	y	@	-inf	((+ (* (- z x) y) x) (- z x) (+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* z y) (+ (* (neg x) y) x)) (+ (* (neg x) y) x) (neg x) (+ (* (neg x) y) (* z y)) (+ x (+ (* (neg x) y) (* z y))))
1.0ms	y	@	0	((+ (* (- z x) y) x) (- z x) (+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* z y) (+ (* (neg x) y) x)) (+ (* (neg x) y) x) (neg x) (+ (* (neg x) y) (* z y)) (+ x (+ (* (neg x) y) (* z y))))

simplify104.0ms (2.3%)

Memory

-15.9MiB live, 93.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	195
1	328	195
2	979	195
3	2495	195
4	5144	195
5	7714	195
0	8085	183

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 40

Calls

Call 1

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

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

rewrite194.0ms (4.4%)

Memory

-5.4MiB live, 237.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	75
0	31	67
1	144	66
2	1183	66
0	8302	66

Stop Event

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

Counts

12 → 675

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 (neg.f64 y) z))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 z x) (neg.f64 x)))))
(.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (.f64 y (-.f64 z x))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 y (-.f64 z x))) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (.f64 x x)))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y z (.f64 y x)) x))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 (neg.f64 y) z)) (pow.f64 (.f64 y z) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 y (-.f64 z x) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (.f64 y (-.f64 z x))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 y z (.f64 y x)) x) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (.f64 y (-.f64 z x))) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 y z))))))
(.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 (neg.f64 y) z)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (fma.f64 y (-.f64 z x) (neg.f64 x))) (/.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (fma.f64 y (-.f64 z x) (neg.f64 x)))) (.f64 (/.f64 (.f64 x x) (fma.f64 y (-.f64 z x) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 y (-.f64 z x) (neg.f64 x))))) (+.f64 (/.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (fma.f64 y (-.f64 z x) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 y (-.f64 z x) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (-.f64 z x)))) (/.f64 (.f64 x x) (-.f64 x (.f64 y (-.f64 z x))))) (.f64 (/.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 x (.f64 y (-.f64 z x)))) (/.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 x (.f64 y (-.f64 z x)))))) (+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (-.f64 z x)))) (/.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 x (.f64 y (-.f64 z x))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (.f64 y x)) x)) (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (.f64 y x)) x))) (.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (.f64 y x)) x)) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (.f64 y x)) x)))) (+.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (.f64 y x)) x)) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (.f64 y x)) x))))
(/.f64 (-.f64 (.f64 (fma.f64 y z x) (fma.f64 y z x)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (fma.f64 y z x) (*.f64 (neg.f64 x) y)))
(/.f64 (-.f64 (.f64 (+.f64 x (.f64 y z)) (+.f64 x (.f64 y z))) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (+.f64 x (.f64 y z)) (.f64 (neg.f64 x) y)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 y z x) (fma.f64 y z x))) (-.f64 (*.f64 (neg.f64 x) y) (fma.f64 y z x)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (+.f64 x (.f64 y z)) (+.f64 x (.f64 y z)))) (-.f64 (.f64 (neg.f64 x) y) (+.f64 x (.f64 y z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (fma.f64 y (-.f64 z x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 y (-.f64 z x) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (fma.f64 y (-.f64 z x) (neg.f64 x))) (/.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (fma.f64 y (-.f64 z x) (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 y (-.f64 z x) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 y (-.f64 z x) (neg.f64 x))) (.f64 (/.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (fma.f64 y (-.f64 z x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y (-.f64 z x) (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (-.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 x (.f64 y (-.f64 z x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (-.f64 z x)))) (/.f64 (.f64 x x) (-.f64 x (.f64 y (-.f64 z x)))) (fma.f64 (/.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 x (.f64 y (-.f64 z x)))) (/.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 x (.f64 y (-.f64 z x)))) (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (-.f64 z x)))) (/.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (-.f64 x (*.f64 y (-.f64 z x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (.f64 y x)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (.f64 y x)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (.f64 y x)) x)) (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (.f64 y x)) x)) (fma.f64 (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (.f64 y x)) x)) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (.f64 y x)) x)) (.f64 (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (.f64 y x)) x)) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (*.f64 y x)) x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y z x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z x) (fma.f64 y z x) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 y z x) (.f64 (neg.f64 x) y)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (.f64 y z)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (+.f64 x (.f64 y z)) (+.f64 x (.f64 y z)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (+.f64 x (.f64 y z)) (.f64 (neg.f64 x) y)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 y z x) (fma.f64 y z x)) (.f64 (*.f64 (neg.f64 x) y) (fma.f64 y z x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 x (.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 x (.f64 y z)) (+.f64 x (.f64 y z))) (.f64 (.f64 (neg.f64 x) y) (+.f64 x (*.f64 y z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 (neg.f64 y) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 z x) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (*.f64 y (-.f64 z x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 y (-.f64 z x))) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y z (*.f64 y x)) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (fma.f64 y (-.f64 z x) (neg.f64 x))) (.f64 (fma.f64 y (-.f64 z x) (neg.f64 x)) (.f64 x x))) (*.f64 (fma.f64 y (-.f64 z x) (neg.f64 x)) (fma.f64 y (-.f64 z x) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 y (-.f64 z x)))) (.f64 (-.f64 x (.f64 y (-.f64 z x))) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)))) (.f64 (-.f64 x (.f64 y (-.f64 z x))) (-.f64 x (*.f64 y (-.f64 z x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (-.f64 (fma.f64 y z (.f64 y x)) x)) (.f64 (-.f64 (fma.f64 y z (.f64 y x)) x) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)))) (.f64 (-.f64 (fma.f64 y z (.f64 y x)) x) (-.f64 (fma.f64 y z (*.f64 y x)) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (fma.f64 y (-.f64 z x) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y (-.f64 z x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 y (-.f64 z x))) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 y z (*.f64 y x)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 y (-.f64 z x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y (-.f64 z x)) #s(literal 2 binary64))) (-.f64 x (*.f64 y (-.f64 z x))))
(/.f64 (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64))) (-.f64 (fma.f64 y z (*.f64 y x)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x))))
(/.f64 (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 y (-.f64 z x))) (pow.f64 (*.f64 y (-.f64 z x)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 y (-.f64 z x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (neg.f64 x)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y z)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 (neg.f64 y) z)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) x (.f64 (neg.f64 y) z)) (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (.f64 y z)))) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x)) #s(literal 1 binary64)))
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eval59.0ms (1.3%)

Memory: 32.0MiB live, 96.3MiB allocated
Compiler: Compiled 9 330 to 1 225 computations (86.9% saved)

prune35.0ms (0.8%)

Memory

-12.7MiB live, 41.8MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	398	4	402
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	400	7	407

Accuracy

100.0%

Counts

407 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
▶	98.8%	(fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 y z))
▶	65.9%	#s(approx (+ (* (- z x) y) x) (*.f64 (-.f64 z x) y))
✓	61.4%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
▶	27.5%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
▶	36.5%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	42.1%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 82 to 63 computations (23.2% saved)

simplify49.0ms (1.1%)

Memory

-2.7MiB live, 32.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y z)
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	320	(fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 y z))
cost-diff	0	(-.f64 z x)
cost-diff	0	(*.f64 (-.f64 z x) y)
cost-diff	0	#s(approx (+ (* (- z x) y) x) (*.f64 (-.f64 z x) y))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- 1 y) (neg.f64 y))
cost-diff	0	(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
cost-diff	0	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
cost-diff	0	#s(approx (- 1 y) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	105
0	32	105
1	48	105
2	65	104
3	112	104
4	201	104
5	263	104
6	432	104
7	660	104
8	839	104
9	885	104
10	975	104
11	1032	104
12	1038	104
13	1042	104
14	1048	104
15	1052	104
0	1052	100

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (1.2%)

Memory

-6.3MiB live, 67.6MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0	(*.f64 y z)
accuracy	0.7538979928166807	(fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 y z))
accuracy	0.0	(-.f64 z x)
accuracy	0.0078125	(*.f64 (-.f64 z x) y)
accuracy	21.797174506298415	#s(approx (+ (* (- z x) y) x) (*.f64 (-.f64 z x) y))
accuracy	0.0	(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
accuracy	0.0	(neg.f64 y)
accuracy	24.722490521313556	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
accuracy	32.19770733618866	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.0	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
accuracy	24.722490521313556	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
accuracy	30.828143513571153	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

35.0ms

256×

valid

Compiler

Compiled 180 to 40 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 15.0ms (63.8% of total)

ival-add: 4.0ms (17% of total)

ival-sub: 2.0ms (8.5% of total)

ival-neg: 1.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

13 → 47

Calls

Call 1

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

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

Calls

9 calls:

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

simplify111.0ms (2.5%)

Memory

6.6MiB live, 130.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	230
1	387	230
2	1186	230
3	2929	230
4	5813	230
0	8164	213

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

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

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

rewrite201.0ms (4.6%)

Memory

0.4MiB live, 195.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	94
0	32	94
1	110	94
2	698	93
0	8698	89

Stop Event

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

Counts

13 → 427

Calls

Call 1

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

Outputs
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(.f64 (.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) y)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 0 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
(.f64 (/.f64 (.f64 (+.f64 z x) (.f64 (-.f64 z x) y)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (.f64 x (-.f64 x z))))
(.f64 (/.f64 (.f64 (+.f64 z x) (.f64 (-.f64 z x) y)) (.f64 (+.f64 z x) (-.f64 z x))) (-.f64 z x))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x (+.f64 z x)) #s(literal 2 binary64)))) (-.f64 (.f64 z z) (*.f64 x (+.f64 z x))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x (+.f64 z x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 z x)) (-.f64 (.f64 x (+.f64 z x)) (*.f64 z z)))))
(.f64 (/.f64 (.f64 (.f64 y (+.f64 z x)) (-.f64 z x)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (.f64 x (-.f64 x z))))
(.f64 (/.f64 (.f64 (.f64 y (+.f64 z x)) (-.f64 z x)) (.f64 (+.f64 z x) (-.f64 z x))) (-.f64 z x))
(.f64 (/.f64 (.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x (+.f64 z x)) #s(literal 2 binary64)))) (-.f64 (.f64 z z) (*.f64 x (+.f64 z x))))
(.f64 (/.f64 (.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 x (+.f64 z x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 (.f64 x (+.f64 z x)) (-.f64 (.f64 x (+.f64 z x)) (*.f64 z z)))))
(.f64 (.f64 (-.f64 z x) #s(literal 1 binary64)) y)
(.f64 (.f64 (+.f64 z x) (*.f64 (-.f64 z x) y)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
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(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 y y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (fma.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (.f64 (+.f64 #s(literal 1 binary64) y) (.f64 y y))) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (fma.f64 y y y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) y) (neg.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 1 binary64) y))))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))
(+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(.f64 (.f64 z #s(literal 1 binary64)) y)
(.f64 (.f64 z y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 z y))
(*.f64 z y)
(.f64 y (.f64 #s(literal 1 binary64) z))
(*.f64 y z)

eval85.0ms (1.9%)

Memory: -12.3MiB live, 107.4MiB allocated
Compiler: Compiled 12 173 to 1 388 computations (88.6% saved)

prune8.0ms (0.2%)

Memory

23.4MiB live, 23.4MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	438	1	439
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	439	7	446

Accuracy

100.0%

Counts

446 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
▶	64.8%	#s(approx (+ (* (- z x) y) x) (fma.f64 (neg.f64 y) x (*.f64 z y)))
✓	65.9%	#s(approx (+ (* (- z x) y) x) (*.f64 (-.f64 z x) y))
✓	61.4%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
✓	27.5%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
✓	36.5%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	42.1%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 89 to 66 computations (25.8% saved)

simplify36.0ms (0.8%)

Memory

-29.6MiB live, 9.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z y)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (+ (* (- z x) y) x) (fma.f64 (neg.f64 y) x (*.f64 z y)))
cost-diff	320	(fma.f64 (neg.f64 y) x (*.f64 z y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
0	14	30
1	27	26
2	44	26
3	78	26
4	131	26
5	226	26
6	412	26
7	594	26
8	689	26
9	700	26
0	700	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.5%)

Memory

27.2MiB live, 27.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z y)
accuracy	0.0	(neg.f64 y)
accuracy	0.7499917428166807	(fma.f64 (neg.f64 y) x (*.f64 z y))
accuracy	21.797174506298415	#s(approx (+ (* (- z x) y) x) (fma.f64 (neg.f64 y) x (*.f64 z y)))

Samples

17.0ms

256×

valid

Compiler

Compiled 55 to 22 computations (60% saved)

Precisions

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

ival-mult: 5.0ms (53.2% of total)

ival-add: 2.0ms (21.3% of total)

ival-sub: 1.0ms (10.6% of total)

ival-neg: 1.0ms (10.6% of total)

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

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

series5.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

4 → 24

Calls

Call 1

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

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

Calls

9 calls:

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

simplify109.0ms (2.5%)

Memory

-18.7MiB live, 71.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	158
1	220	128
2	668	128
3	1803	128
4	4791	128
5	7270	128
0	8226	119

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

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

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

rewrite365.0ms (8.3%)

Memory

6.8MiB live, 202.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
0	14	27
1	62	23
2	477	23
3	6851	23
0	8340	22

Stop Event

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

Counts

4 → 125

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 z z)) y) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z z (.f64 x (-.f64 x z))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 z z)) y) (fma.f64 (neg.f64 x) x (.f64 z z))) (-.f64 z x))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (-.f64 (.f64 z z) (*.f64 (+.f64 z x) x)))
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(fma.f64 y z (*.f64 x (neg.f64 y)))
(-.f64 (fma.f64 z y #s(literal 0 binary64)) (*.f64 x y))
(-.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 y (+.f64 z x))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 y (+.f64 z x))))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (neg.f64 y) (+.f64 z x))) (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (neg.f64 y) (+.f64 z x))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 x y) (.f64 z y)))
(-.f64 (.f64 z y) (.f64 x y))
(+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (neg.f64 y) (+.f64 z x))) (neg.f64 (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (neg.f64 y) (+.f64 z x)))))
(+.f64 (.f64 x (neg.f64 y)) (.f64 z y))
(+.f64 (.f64 z y) (.f64 x (neg.f64 y)))
#s(approx (+ (* (- z x) y) x) (*.f64 (-.f64 z x) y))
(.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 y y)) (-.f64 #s(literal 0 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 y y)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 y y))
(neg.f64 y)
(fma.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y y)))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(*.f64 z y)
(*.f64 y z)

eval39.0ms (0.9%)

Memory: -17.5MiB live, 21.2MiB allocated
Compiler: Compiled 3 833 to 492 computations (87.2% saved)

prune5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	131	7	138

Accuracy

100.0%

Counts

138 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 z x) y x)
✓	64.8%	#s(approx (+ (* (- z x) y) x) (fma.f64 (neg.f64 y) x (*.f64 z y)))
✓	65.9%	#s(approx (+ (* (- z x) y) x) (*.f64 (-.f64 z x) y))
✓	61.4%	#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
✓	27.5%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
✓	36.5%	#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
✓	42.1%	#s(approx (+ x (* y (- z x))) (*.f64 z y))

Compiler

Compiled 210 to 104 computations (50.5% saved)

regimes15.0ms (0.3%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs
(fma.f64 (-.f64 z x) y x)

Calls

4 calls:

4.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Results

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

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes19.0ms (0.4%)

Memory

-40.9MiB live, 10.5MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Results

Accuracy	Segments	Branch
85.7%	3	`x`
87.8%	3	`y`
84.7%	3	`z`
73.8%	3	`(+.f64 x (*.f64 y (-.f64 z x)))`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
81.7%	3	`z`
80.5%	3	`x`
63.4%	2	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes7.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

3 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.8%	4	`y`
52.2%	4	`(+.f64 x (*.f64 y (-.f64 z x)))`
64.5%	4	`x`
66.0%	4	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
64.1%	3	`y`
60.9%	3	`z`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes17.0ms (0.4%)

Memory

-26.8MiB live, 10.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
42.1%	1	`(+.f64 x (*.f64 y (-.f64 z x)))`
42.1%	1	`z`
42.1%	1	`x`
42.1%	1	`y`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch30.0ms (0.7%)

Memory

14.9MiB live, 49.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.5169991201488943e-70	9.196601176728589e-63
13.0ms	-1.2257618675776841e-49	-3.1081794010514336e-87

Samples

12.0ms

320×

valid

Compiler

Compiled 570 to 472 computations (17.2% saved)

Precisions

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

ival-sub: 2.0ms (36.6% of total)

ival-mult: 2.0ms (36.6% of total)

ival-add: 1.0ms (18.3% of total)

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

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

bsearch26.0ms (0.6%)

Memory

4.9MiB live, 42.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.663728171104945e-41	7.852119209537008e-19
9.0ms	-1.100273358612224e+93	-1.653844026382395e+90

Samples

12.0ms

304×

valid

Compiler

Compiled 466 to 392 computations (15.9% saved)

Precisions

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

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

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

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

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

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

bsearch25.0ms (0.6%)

Memory

25.1MiB live, 25.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	4.663728171104945e-41	7.852119209537008e-19
7.0ms	-6.956609583004283e-289	-5.0599718601814025e-290
5.0ms	-1.5260648247649618e+56	-8.785644780612285e+55

Samples

11.0ms

304×

valid

Compiler

Compiled 597 to 498 computations (16.6% saved)

Precisions

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

ival-sub: 2.0ms (39.9% of total)

ival-mult: 2.0ms (39.9% of total)

ival-add: 1.0ms (19.9% of total)

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

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

bsearch30.0ms (0.7%)

Memory

-37.8MiB live, 9.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.5169991201488943e-70	9.196601176728589e-63
22.0ms	-1.2257618675776841e-49	-3.1081794010514336e-87

Samples

5.0ms

128×

valid

Compiler

Compiled 530 to 452 computations (14.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (47.1% of total)

ival-add: 1.0ms (47.1% of total)

ival-mult: 1.0ms (47.1% of total)

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

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

simplify81.0ms (1.8%)

Memory

19.5MiB live, 55.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	187
1	77	187
2	93	187
3	124	187
4	165	187
5	228	187
6	415	187
7	2209	187
8	5852	187

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (-.f64 z x) y x)
(if (<=.f64 y #s(literal -4742843975160471/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (+ (* (- z x) y) x) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 8726832914295267/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ ( (- z x) y) x) (*.f64 (-.f64 z x) y))))
(if (<=.f64 z #s(literal -16500000000000000860465511627861814488753571122566883461151748356096632462001718340423254016 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 z #s(literal 6646139978924579/41538374868278621028243970633760768 binary64)) #s(approx (+ x ( y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y))))
(if (<=.f64 z #s(literal -91999999999999994952656508069069748810607280045867139072 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 z #s(literal -2413894590269223/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 1062769888367475/87112285931760246646623899502532662132736 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y)))))
(if (<=.f64 y #s(literal -1600709841616659/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 5767298273795133/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y))))
#s(approx (+ x (* y (- z x))) (*.f64 z y))

Outputs
(fma.f64 (-.f64 z x) y x)
(if (<=.f64 y #s(literal -4742843975160471/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) #s(approx (+ (* (- z x) y) x) (.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 8726832914295267/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ ( (- z x) y) x) (*.f64 (-.f64 z x) y))))
(if (or (<=.f64 y #s(literal -4742843975160471/474284397516047136454946754595585670566993857190463750305618264096412179005177856 binary64)) (not (<=.f64 y #s(literal 8726832914295267/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 binary64)))) #s(approx (+ x (* y (- z x))) (.f64 (-.f64 z x) y)) #s(approx (+ x ( y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))
(if (<=.f64 z #s(literal -16500000000000000860465511627861814488753571122566883461151748356096632462001718340423254016 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 z #s(literal 6646139978924579/41538374868278621028243970633760768 binary64)) #s(approx (+ x ( y (- z x))) (.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y))))
(if (or (<=.f64 z #s(literal -16500000000000000860465511627861814488753571122566883461151748356096632462001718340423254016 binary64)) (not (<=.f64 z #s(literal 6646139978924579/41538374868278621028243970633760768 binary64)))) #s(approx (+ x (* y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(if (<=.f64 z #s(literal -91999999999999994952656508069069748810607280045867139072 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 z #s(literal -2413894590269223/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 1062769888367475/87112285931760246646623899502532662132736 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y)))))
(if (<=.f64 y #s(literal -1600709841616659/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) #s(approx (+ x (* y (- z x))) (.f64 z y)) (if (<=.f64 y #s(literal 5767298273795133/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) #s(approx (+ x ( y (- z x))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x ( y (- z x))) (*.f64 z y))))
(if (or (<=.f64 y #s(literal -1600709841616659/118571099379011784113736688648896417641748464297615937576404566024103044751294464 binary64)) (not (<=.f64 y #s(literal 5767298273795133/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)))) #s(approx (+ x (* y (- z x))) (.f64 z y)) #s(approx (+ x ( y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)))
#s(approx (+ x (* y (- z x))) (*.f64 z y))

soundness1.1s (25.4%)

Memory

24.5MiB live, 414.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	185
1	242	137
2	753	137
3	2142	137
4	4521	137
5	6578	137
6	7957	137
0	8269	128
0	6	15
0	9	15
1	36	15
2	286	15
3	3844	15
0	10923	14
0	98	195
1	328	195
2	979	195
3	2495	195
4	5144	195
5	7714	195
0	8085	183

Stop Event

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

Compiler

Compiled 288 to 150 computations (47.9% saved)

preprocess62.0ms (1.4%)

Memory: -23.4MiB live, 101.5MiB allocated
Compiler: Compiled 388 to 122 computations (68.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	398	18
8	625	18
9	715	18
10	741	18
0	741	17

Iter	Nodes	Cost
0	19	94
0	31	86
1	54	85
2	85	85
3	132	85
4	220	85
5	355	85
6	532	85
7	676	85
8	713	85
0	713	85

Iter	Nodes	Cost
0	10	30
0	14	30
1	27	26
2	44	26
3	78	26
4	131	26
5	226	26
6	412	26
7	594	26
8	689	26
9	700	26
0	700	25

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	398	18
8	625	18
9	715	18
10	741	18
0	741	17

Iter	Nodes	Cost
0	19	94
0	31	86
1	54	85
2	85	85
3	132	85
4	220	85
5	355	85
6	532	85
7	676	85
8	713	85
0	713	85

Iter	Nodes	Cost
0	10	30
0	14	30
1	27	26
2	44	26
3	78	26
4	131	26
5	226	26
6	412	26
7	594	26
8	689	26
9	700	26
0	700	25

start0.0ms (0%)

analyze0.0ms (0%)

sample838.0ms (19%)

explain59.0ms (1.3%)

preprocess72.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.5%)

localize15.0ms (0.3%)

series5.0ms (0.1%)

simplify131.0ms (3%)

rewrite216.0ms (4.9%)

eval34.0ms (0.8%)

prune5.0ms (0.1%)

simplify20.0ms (0.4%)

localize50.0ms (1.1%)

series11.0ms (0.3%)

simplify104.0ms (2.3%)

rewrite194.0ms (4.4%)

eval59.0ms (1.3%)

prune35.0ms (0.8%)

simplify49.0ms (1.1%)

localize55.0ms (1.2%)

series7.0ms (0.2%)

simplify111.0ms (2.5%)

rewrite201.0ms (4.6%)

eval85.0ms (1.9%)

prune8.0ms (0.2%)

simplify36.0ms (0.8%)

localize23.0ms (0.5%)

series5.0ms (0.1%)

simplify109.0ms (2.5%)

rewrite365.0ms (8.3%)

eval39.0ms (0.9%)

prune5.0ms (0.1%)

regimes15.0ms (0.3%)

regimes19.0ms (0.4%)

regimes6.0ms (0.1%)

regimes7.0ms (0.2%)

regimes3.0ms (0.1%)

regimes17.0ms (0.4%)

bsearch30.0ms (0.7%)

bsearch26.0ms (0.6%)

bsearch25.0ms (0.6%)

bsearch30.0ms (0.7%)

simplify81.0ms (1.8%)

soundness1.1s (25.4%)

preprocess62.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	48	18
4	84	18
5	130	18
6	220	18
7	398	18
8	625	18
9	715	18
10	741	18
0	741	17

Iter	Nodes	Cost
0	19	94
0	31	86
1	54	85
2	85	85
3	132	85
4	220	85
5	355	85
6	532	85
7	676	85
8	713	85
0	713	85

Iter	Nodes	Cost
0	10	30
0	14	30
1	27	26
2	44	26
3	78	26
4	131	26
5	226	26
6	412	26
7	594	26
8	689	26
9	700	26
0	700	25