Metrics for Graphics.Rendering.Plot.Render.Plot.Axis:tickPosition from plot-0.2.3.4

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze102.0ms (1.5%)

Memory

-0.3MiB live, 91.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
50%	49.9%	49.9%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
50%	49.9%	49.9%	0.2%	0%	0%	0%	8
75%	74.9%	25%	0.2%	0%	0%	0%	9
75%	74.9%	25%	0.2%	0%	0%	0%	10
75%	74.9%	25%	0.2%	0%	0%	0%	11
75%	74.9%	25%	0.2%	0%	0%	0%	12

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample970.0ms (14.7%)

Memory

-107.2MiB live, 1 093.8MiB allocated

Samples

553.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 239.0ms

ival-mult: 69.0ms (28.9% of total)

ival-div: 65.0ms (27.2% of total)

ival-sub: 52.0ms (21.7% of total)

ival-add: 43.0ms (18% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain106.0ms (1.6%)

Memory

1.5MiB live, 121.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
23	-	5	(3.3328433809039083e+59 -8.189091534644347e-142 1.7346433955858054e-264 3.25431933510335e+55)	`(*.f64 (-.f64 y x) (/.f64 z t))`
0	-	0	-	`(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))`
0	-	0	-	`(-.f64 y x)`
0	-	0	-	`y`
0	-	0	-	`(/.f64 z t)`
0	-	0	-	`t`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(*.f64 (-.f64 y x) (/.f64 z t))`	*no**	6	0
`*.f64`	`(*.f64 (-.f64 y x) (/.f64 z t))`	*nu**	3	0

Confusion

	Predicted +	Predicted -
+	8	1
-	1	246

Precision

0.8888888888888888

Recall

0.8888888888888888

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	8	0	1
-	1	0	246

Precision?

0.8888888888888888

Recall?

0.8888888888888888

Freqs

test

number	freq
0	247
1	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-div: 4.0ms (29.7% of total)

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

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

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

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

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

preprocess114.0ms (1.7%)

Memory

-6.8MiB live, 77.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	138
1	123	132
2	331	126
3	1218	126
4	4277	126
5	7290	126
0	8	9
0	12	9
1	18	9
2	31	9
3	72	9
4	138	9
5	235	9
6	387	9
7	728	9
8	1313	9
9	2169	9
10	2398	9
11	2431	9
12	2447	9
13	2448	9
0	2448	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.4%	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify60.0ms (0.9%)

Memory

-3.3MiB live, 34.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 z t)
cost-diff	0	(-.f64 y x)
cost-diff	0	(*.f64 (-.f64 y x) (/.f64 z t))
cost-diff	1	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	12	26
1	18	26
2	31	26
3	72	26
4	138	26
5	235	26
6	387	26
7	728	26
8	1313	26
9	2169	26
10	2398	26
11	2431	26
12	2447	26
13	2448	26
0	2448	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize56.0ms (0.8%)

Memory

-12.9MiB live, 25.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 z t)
accuracy	0.0	(-.f64 y x)
accuracy	0.00390625	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
accuracy	4.469722191805053	(*.f64 (-.f64 y x) (/.f64 z t))

Samples

51.0ms

256×

valid

Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sub: 4.0ms (47.2% of total)

ival-div: 2.0ms (23.6% of total)

ival-add: 1.0ms (11.8% of total)

ival-mult: 1.0ms (11.8% of total)

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

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

series12.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

4 → 33

Calls

Call 1

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

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

Calls

12 calls:

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

simplify114.0ms (1.7%)

Memory

6.2MiB live, 119.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	295
1	279	275
2	935	207
3	3020	207
4	6089	207
0	8048	196

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

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

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

rewrite294.0ms (4.5%)

Memory

-4.9MiB live, 193.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	12	22
1	49	22
2	399	22
3	5361	22
0	8383	21

Stop Event

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

Counts

4 → 349

Calls

Call 1

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

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

eval100.0ms (1.5%)

Memory: -22.7MiB live, 63.5MiB allocated
Compiler: Compiled 7 726 to 1 094 computations (85.8% saved)

prune9.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	350	9	359
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	351	9	360

Accuracy

100.0%

Counts

360 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.3%	(fma.f64 (/.f64 (-.f64 y x) t) z x)
▶	97.4%	(fma.f64 (/.f64 z t) (-.f64 y x) x)
▶	90.6%	(fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) (/.f64 #s(literal -1 binary64) t) x)
▶	60.9%	(fma.f64 z (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 (+.f64 y x) t)) x)
	97.4%	(+.f64 x (/.f64 (/.f64 z t) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
	97.1%	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
▶	55.0%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t))
▶	37.1%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 z y) t))
	65.7%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z t)) x))

Compiler

Compiled 224 to 178 computations (20.5% saved)

simplify156.0ms (2.4%)

Memory

21.7MiB live, 95.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	163
0	50	150
1	85	150
2	176	150
3	483	149
4	1234	141
5	3398	141
6	6847	141
0	8126	141

Stop Event

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

Calls

Call 1

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

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

localize246.0ms (3.7%)

Memory

-28.5MiB live, 105.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 (+.f64 y x) t)
accuracy	0.7499917428166807	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	4.263102927150886	(fma.f64 z (/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 (+.f64 y x) t)) x)
accuracy	25.109481929495185	(/.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 (+.f64 y x) t))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(neg.f64 z)
accuracy	0.0078125	(*.f64 (neg.f64 z) (-.f64 y x))
accuracy	5.9998314438773335	(fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) (/.f64 #s(literal -1 binary64) t) x)
accuracy	0.0	(-.f64 y x)
accuracy	0.0078125	(*.f64 (-.f64 y x) z)
accuracy	6.46453845838839	(/.f64 (*.f64 (-.f64 y x) z) t)
accuracy	24.31191870510732	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t))
accuracy	0.0	(*.f64 z y)
accuracy	5.479733420150059	(/.f64 (*.f64 z y) t)
accuracy	36.93077435496966	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 z y) t))
accuracy	0.0	(/.f64 z t)
accuracy	0.0	(-.f64 y x)
accuracy	1.6511441208012734	(fma.f64 (/.f64 z t) (-.f64 y x) x)

Samples

162.0ms

256×

valid

Compiler

Compiled 157 to 31 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult: 91.0ms (63% of total)

ival-add: 41.0ms (28.4% of total)

ival-div: 9.0ms (6.2% of total)

ival-neg: 2.0ms (1.4% of total)

ival-sub: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

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

series95.0ms (1.4%)

Memory

-25.0MiB live, 59.3MiB allocated

Counts

17 → 81

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
47.0ms	y	@	inf	((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (+ x (* (- y x) (/ z t))) (/ (* z y) t) (* z y) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (+ (* (* (neg z) (- y x)) (/ -1 t)) x) (* (neg z) (- y x)) (neg z) (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (+ (* z (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* (+ y x) t))
21.0ms	t	@	-inf	((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (+ x (* (- y x) (/ z t))) (/ (* z y) t) (* z y) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (+ (* (* (neg z) (- y x)) (/ -1 t)) x) (* (neg z) (- y x)) (neg z) (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (+ (* z (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* (+ y x) t))
3.0ms	z	@	inf	((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (+ x (* (- y x) (/ z t))) (/ (* z y) t) (* z y) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (+ (* (* (neg z) (- y x)) (/ -1 t)) x) (* (neg z) (- y x)) (neg z) (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (+ (* z (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* (+ y x) t))
3.0ms	y	@	-inf	((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (+ x (* (- y x) (/ z t))) (/ (* z y) t) (* z y) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (+ (* (* (neg z) (- y x)) (/ -1 t)) x) (* (neg z) (- y x)) (neg z) (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (+ (* z (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* (+ y x) t))
3.0ms	z	@	-inf	((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (+ x (* (- y x) (/ z t))) (/ (* z y) t) (* z y) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (+ (* (* (neg z) (- y x)) (/ -1 t)) x) (* (neg z) (- y x)) (neg z) (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (+ (* z (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* (+ y x) t))

simplify134.0ms (2%)

Memory

15.7MiB live, 92.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	706
1	631	658
2	2059	536
3	5339	536
0	8325	517

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 79

Calls

Call 1

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

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

rewrite365.0ms (5.5%)

Memory

24.8MiB live, 141.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	128
0	50	115
1	188	107
2	1486	107
0	8178	107

Stop Event

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

Counts

17 → 1 058

Calls

Call 1

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

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

eval308.0ms (4.7%)

Memory: -2.3MiB live, 119.1MiB allocated
Compiler: Compiled 24 906 to 2 808 computations (88.7% saved)

prune102.0ms (1.6%)

Memory

-14.5MiB live, 60.8MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	964	11	975
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	971	13	984

Accuracy

100.0%

Counts

984 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.4%	(fma.f64 (/.f64 z t) (-.f64 y x) x)
	56.1%	(fma.f64 z (/.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 y y)) (.f64 (+.f64 y x) t)) x)
▶	75.9%	(fma.f64 z #s(approx (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x)
	42.2%	#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y))
	65.7%	#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z t)) x))
	59.6%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (/.f64 z t) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
✓	37.1%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 z y) t))
	26.9%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 #s(approx (* (- y x) z) (*.f64 (neg.f64 x) z)) t))
	57.1%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 z (/.f64 t (-.f64 y x))))
▶	41.5%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 y (/.f64 t z)))
▶	59.7%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) (-.f64 y x)))
▶	37.8%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 y t) z))
▶	27.5%	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 (neg.f64 x) t) z)))

Compiler

Compiled 429 to 300 computations (30.1% saved)

simplify429.0ms (6.5%)

Memory

-4.9MiB live, 116.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	185
0	46	185
1	74	183
2	121	183
3	218	183
4	401	171
5	729	167
6	1596	167
7	4434	167
0	8439	163

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1.4%)

Memory

18.3MiB live, 96.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 t z)
accuracy	5.001682441916223	(/.f64 y (/.f64 t z))
accuracy	36.93077435496966	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 y (/.f64 t z)))
accuracy	0.0	(/.f64 z t)
accuracy	0.0	(-.f64 y x)
accuracy	4.469722191805053	(*.f64 (/.f64 z t) (-.f64 y x))
accuracy	24.31191870510732	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) (-.f64 y x)))
accuracy	0.0	(neg.f64 x)
accuracy	3.7487028865825085	(*.f64 (/.f64 (neg.f64 x) t) z)
accuracy	24.31191870510732	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 (neg.f64 x) t) z)))
accuracy	27.855484449233344	#s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 (neg.f64 x) t) z))
accuracy	0.0	(/.f64 y t)
accuracy	5.1559582405298325	(*.f64 (/.f64 y t) z)
accuracy	36.93077435496966	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 y t) z))
accuracy	0.0	(/.f64 y t)
accuracy	4.263102927150886	(fma.f64 z #s(approx (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x)
accuracy	29.335878920291258	#s(approx (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t))

Samples

81.0ms

256×

valid

Compiler

Compiled 138 to 28 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 44.0ms (67.1% of total)

ival-div: 11.0ms (16.8% of total)

ival-add: 7.0ms (10.7% of total)

ival-sub: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series49.0ms (0.7%)

Memory

-1.2MiB live, 83.5MiB allocated

Counts

17 → 52

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((+ (* z (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t))) x) (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/ y t) (+ x (* (- y x) (/ z t))) (* (/ y t) z) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (/ (neg x) t) z) (/ (neg x) t) (+ x (* (- y x) (/ z t))) (* (/ z t) (- y x)) (/ z t) (- y x) (+ x (* (- y x) (/ z t))) (/ y (/ t z)) (/ t z) (neg x))
9.0ms	t	@	-inf	((+ (* z (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t))) x) (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/ y t) (+ x (* (- y x) (/ z t))) (* (/ y t) z) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (/ (neg x) t) z) (/ (neg x) t) (+ x (* (- y x) (/ z t))) (* (/ z t) (- y x)) (/ z t) (- y x) (+ x (* (- y x) (/ z t))) (/ y (/ t z)) (/ t z) (neg x))
5.0ms	t	@	0	((+ (* z (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t))) x) (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/ y t) (+ x (* (- y x) (/ z t))) (* (/ y t) z) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (/ (neg x) t) z) (/ (neg x) t) (+ x (* (- y x) (/ z t))) (* (/ z t) (- y x)) (/ z t) (- y x) (+ x (* (- y x) (/ z t))) (/ y (/ t z)) (/ t z) (neg x))
3.0ms	t	@	inf	((+ (* z (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t))) x) (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/ y t) (+ x (* (- y x) (/ z t))) (* (/ y t) z) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (/ (neg x) t) z) (/ (neg x) t) (+ x (* (- y x) (/ z t))) (* (/ z t) (- y x)) (/ z t) (- y x) (+ x (* (- y x) (/ z t))) (/ y (/ t z)) (/ t z) (neg x))
2.0ms	z	@	0	((+ (* z (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t))) x) (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/ y t) (+ x (* (- y x) (/ z t))) (* (/ y t) z) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (/ (neg x) t) z) (/ (neg x) t) (+ x (* (- y x) (/ z t))) (* (/ z t) (- y x)) (/ z t) (- y x) (+ x (* (- y x) (/ z t))) (/ y (/ t z)) (/ t z) (neg x))

simplify128.0ms (1.9%)

Memory

7.3MiB live, 162.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	530
1	464	515
2	1484	399
3	4656	399
4	7727	399
0	8331	380

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 50

Calls

Call 1

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

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

rewrite156.0ms (2.4%)

Memory

6.2MiB live, 241.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	165
0	46	165
1	161	147
2	1157	147
0	8395	143

Stop Event

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

Counts

17 → 682

Calls

Call 1

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

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

eval106.0ms (1.6%)

Memory: -19.4MiB live, 225.0MiB allocated
Compiler: Compiled 19 118 to 2 194 computations (88.5% saved)

prune20.0ms (0.3%)

Memory

20.2MiB live, 58.3MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	659	3	662
Fresh	2	4	6
Picked	0	5	5
Done	0	2	2
Total	661	14	675

Accuracy

100.0%

Counts

675 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.4%	(fma.f64 (/.f64 z t) (-.f64 y x) x)
	56.1%	(fma.f64 z (/.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 y y)) (.f64 (+.f64 y x) t)) x)
✓	75.9%	(fma.f64 z #s(approx (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x)
▶	42.2%	#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y))
▶	65.7%	#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z t)) x))
✓	37.1%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 z y) t))
▶	26.9%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 #s(approx (* (- y x) z) (*.f64 (neg.f64 x) z)) t))
✓	41.5%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 y (/.f64 t z)))
✓	59.7%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) (-.f64 y x)))
	37.0%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) t)))
✓	37.8%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 y t) z))
▶	27.5%	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (/.f64 (neg.f64 z) (/.f64 t x))))
✓	27.5%	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 (neg.f64 x) t) z)))
▶	28.2%	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (neg.f64 x) (/.f64 z t))))

Compiler

Compiled 399 to 273 computations (31.6% saved)

simplify100.0ms (1.5%)

Memory

-6.0MiB live, 77.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	219
0	44	219
1	76	219
2	131	219
3	209	219
4	355	219
5	599	219
6	1065	219
7	1532	219
8	2089	219
9	2405	219
10	2511	219
11	2605	219
12	2621	219
13	2623	219
14	2626	219
15	2627	219
0	2627	214

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (1%)

Memory

-9.0MiB live, 104.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 z)
accuracy	4.099514832354998	(/.f64 (neg.f64 z) (/.f64 t x))
accuracy	24.31191870510732	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (/.f64 (neg.f64 z) (/.f64 t x))))
accuracy	27.855484449233344	#s(approx (/ (* (- y x) z) t) (/.f64 (neg.f64 z) (/.f64 t x)))
accuracy	0.0	(neg.f64 x)
accuracy	6.46453845838839	(/.f64 #s(approx (* (- y x) z) (*.f64 (neg.f64 x) z)) t)
accuracy	24.31191870510732	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 #s(approx (* (- y x) z) (*.f64 (neg.f64 x) z)) t))
accuracy	29.95269065326811	#s(approx (* (- y x) z) (*.f64 (neg.f64 x) z))
accuracy	0.0	(neg.f64 x)
accuracy	5.396681133999146	(*.f64 (neg.f64 x) (/.f64 z t))
accuracy	24.31191870510732	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (neg.f64 x) (/.f64 z t))))
accuracy	27.855484449233344	#s(approx (/ (* (- y x) z) t) (*.f64 (neg.f64 x) (/.f64 z t)))
accuracy	0.0	(/.f64 z t)
accuracy	4.590408347639192	(*.f64 (/.f64 z t) y)
accuracy	36.93077435496966	#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y))
accuracy	0.0	(/.f64 z t)
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 z t))
accuracy	3.8692449461782603	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z t)) x)
accuracy	21.9455426789731	#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z t)) x))

Samples

51.0ms

256×

valid

Compiler

Compiled 140 to 24 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 14.0ms (40.4% of total)

ival-div: 7.0ms (20.2% of total)

ival-neg: 6.0ms (17.3% of total)

ival-add: 5.0ms (14.4% of total)

ival-sub: 2.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.4%)

Memory

0.3MiB live, 44.1MiB allocated

Counts

18 → 45

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	z	@	inf	((+ (* (/ z t) (- y x)) x) (* (- 1 (/ z t)) x) (- 1 (/ z t)) (/ z t) (+ (* (/ z t) (- y x)) x) (* (/ z t) y) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (neg x) (/ z t)) (neg x) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (* (neg x) z) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (/ (neg z) (/ t x)) (neg z))
2.0ms	z	@	-inf	((+ (* (/ z t) (- y x)) x) (* (- 1 (/ z t)) x) (- 1 (/ z t)) (/ z t) (+ (* (/ z t) (- y x)) x) (* (/ z t) y) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (neg x) (/ z t)) (neg x) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (* (neg x) z) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (/ (neg z) (/ t x)) (neg z))
2.0ms	x	@	inf	((+ (* (/ z t) (- y x)) x) (* (- 1 (/ z t)) x) (- 1 (/ z t)) (/ z t) (+ (* (/ z t) (- y x)) x) (* (/ z t) y) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (neg x) (/ z t)) (neg x) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (* (neg x) z) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (/ (neg z) (/ t x)) (neg z))
2.0ms	z	@	0	((+ (* (/ z t) (- y x)) x) (* (- 1 (/ z t)) x) (- 1 (/ z t)) (/ z t) (+ (* (/ z t) (- y x)) x) (* (/ z t) y) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (neg x) (/ z t)) (neg x) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (* (neg x) z) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (/ (neg z) (/ t x)) (neg z))
2.0ms	t	@	-inf	((+ (* (/ z t) (- y x)) x) (* (- 1 (/ z t)) x) (- 1 (/ z t)) (/ z t) (+ (* (/ z t) (- y x)) x) (* (/ z t) y) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (neg x) (/ z t)) (neg x) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (* (- y x) z) (* (neg x) z) (+ x (* (- y x) (/ z t))) (/ (* (- y x) z) t) (/ (neg z) (/ t x)) (neg z))

simplify127.0ms (1.9%)

Memory

12.0MiB live, 121.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	375
1	355	278
2	1107	278
3	3199	278
4	6700	278
0	8602	267

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 44

Calls

Call 1

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

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

rewrite164.0ms (2.5%)

Memory

4.7MiB live, 213.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	192
0	44	192
1	155	192
2	1024	192
0	8695	187

Stop Event

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

Counts

18 → 330

Calls

Call 1

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

Outputs
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z t)) x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) x) (pow.f64 (+.f64 (/.f64 z t) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z t)) x)
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eval41.0ms (0.6%)

Memory: -6.3MiB live, 68.0MiB allocated
Compiler: Compiled 9 252 to 1 293 computations (86% saved)

prune18.0ms (0.3%)

Memory

-0.5MiB live, 37.7MiB allocated

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	348	1	349
Fresh	0	2	2
Picked	0	5	5
Done	0	7	7
Total	348	15	363

Accuracy

100.0%

Counts

363 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.4%	(fma.f64 (/.f64 z t) (-.f64 y x) x)
	56.1%	(fma.f64 z (/.f64 #s(approx (+ (* (neg x) x) (* y y)) (.f64 y y)) (.f64 (+.f64 y x) t)) x)
✓	75.9%	(fma.f64 z #s(approx (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x)
✓	42.2%	#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y))
✓	65.7%	#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z t)) x))
	40.9%	#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 #s(approx (- 1 (/ z t)) #s(literal 1 binary64)) x))
✓	37.1%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 (*.f64 z y) t))
✓	26.9%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 #s(approx (* (- y x) z) (*.f64 (neg.f64 x) z)) t))
✓	41.5%	#s(approx (+ x (* (- y x) (/ z t))) (/.f64 y (/.f64 t z)))
✓	59.7%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) (-.f64 y x)))
	37.0%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) t)))
✓	37.8%	#s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 y t) z))
✓	27.5%	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (/.f64 (neg.f64 z) (/.f64 t x))))
✓	27.5%	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 (neg.f64 x) t) z)))
✓	28.2%	#s(approx (+ x (* (- y x) (/ z t))) #s(approx (/ (* (- y x) z) t) (*.f64 (neg.f64 x) (/.f64 z t))))

Compiler

Compiled 686 to 288 computations (58% saved)

regimes51.0ms (0.8%)

Memory

-12.1MiB live, 71.3MiB allocated

Counts

25 → 2

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	y
10.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
8.0ms	t
7.0ms	x
7.0ms	z

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`y`
97.4%	1	`z`
97.4%	1	`t`
99.3%	2	`(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))`
97.4%	1	`(/.f64 z t)`

Compiler

Compiled 16 to 29 computations (-81.3% saved)

regimes28.0ms (0.4%)

Memory

2.0MiB live, 39.8MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

(fma.f64 z #s(approx (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x)

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

Calls

6 calls:

6.0ms	z
4.0ms	t
4.0ms	y
4.0ms	x
4.0ms	(/.f64 z t)

Results

Accuracy	Segments	Branch
87.5%	3	`x`
85.0%	3	`y`
85.1%	3	`z`
88.0%	3	`t`
95.5%	3	`(/.f64 z t)`
88.4%	3	`(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))`

Compiler

Compiled 16 to 29 computations (-81.3% saved)

regimes14.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

(fma.f64 z #s(approx (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x)

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

Calls

4 calls:

4.0ms	t
3.0ms	x
3.0ms	(/.f64 z t)
3.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Results

Accuracy	Segments	Branch
87.5%	3	`x`
79.4%	3	`t`
78.3%	2	`(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))`
75.9%	1	`(/.f64 z t)`

Compiler

Compiled 14 to 21 computations (-50% saved)

regimes18.0ms (0.3%)

Memory

-8.8MiB live, 29.2MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

(fma.f64 z #s(approx (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x)

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

(fma.f64 z #s(approx (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x)

Calls

5 calls:

5.0ms	x
3.0ms	t
3.0ms	y
3.0ms	z
3.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

Results

Accuracy	Segments	Branch
79.1%	3	`t`
75.9%	1	`(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))`
75.9%	1	`y`
75.9%	1	`z`
75.9%	1	`x`

Compiler

Compiled 13 to 24 computations (-84.6% saved)

regimes3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
75.9%	1	`t`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes17.0ms (0.3%)

Memory

-8.3MiB live, 33.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

7.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
2.0ms	t
2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
71.9%	3	`(/.f64 z t)`
55.9%	3	`x`
60.3%	3	`y`
64.2%	3	`z`
59.0%	3	`(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))`
61.1%	3	`t`

Compiler

Compiled 16 to 29 computations (-81.3% saved)

regimes2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

(/.f64 z t)

Results

Accuracy	Segments	Branch
69.4%	3	`(/.f64 z t)`

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes10.0ms (0.1%)

Memory

-13.5MiB live, 25.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

3.0ms	t
1.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(/.f64 z t)

Results

Accuracy	Segments	Branch
40.9%	1	`x`
40.9%	1	`(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))`
40.9%	1	`y`
40.9%	1	`t`
40.9%	1	`z`
40.9%	1	`(/.f64 z t)`

Compiler

Compiled 16 to 29 computations (-81.3% saved)

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-inf	-2.8276765339970207e+298

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.2885536242419757e-20	1.5316479702769346e-19
0.0ms	-6166449242.887002	-1169.0119471336448

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch24.0ms (0.4%)

Memory

13.8MiB live, 52.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	17864387844.801064	15874927871770.191
11.0ms	-4.1385158244162694e+58	-5.316738828093865e+57

Samples

13.0ms

224×

valid

Compiler

Compiled 544 to 421 computations (22.6% saved)

Precisions

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

ival-div: 2.0ms (36.8% of total)

ival-sub: 1.0ms (18.4% of total)

ival-add: 1.0ms (18.4% of total)

ival-mult: 1.0ms (18.4% of total)

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

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

bsearch41.0ms (0.6%)

Memory

-38.2MiB live, 58.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-5.98487975282405e-247	-5.711505839384233e-263
15.0ms	-8.586101914876383e-126	-9.54486100746266e-143

Samples

27.0ms

320×

valid

Compiler

Compiled 872 to 615 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 12.0ms (65.5% of total)

ival-div: 3.0ms (16.4% of total)

ival-sub: 2.0ms (10.9% of total)

ival-add: 1.0ms (5.5% of total)

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

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

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.2885536242419757e-20	1.5316479702769346e-19
0.0ms	-3.2344344179593526e-6	-5.78354383269385e-14

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.2885536242419757e-20	1.5316479702769346e-19
0.0ms	-3.2344344179593526e-6	-5.78354383269385e-14

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify65.0ms (1%)

Memory

9.0MiB live, 47.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	75	321
1	118	317
2	170	317
3	276	317
4	464	293
5	964	285
6	4163	285

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 x (.f64 (-.f64 y x) (/.f64 z t))) #s(literal -inf.0 binary64)) #s(approx (+ x ( (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t)) (fma.f64 (/.f64 z t) (-.f64 y x) x))
(if (<=.f64 (/.f64 z t) #s(literal -5000000000 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (/.f64 z t) (-.f64 y x))) (if (<=.f64 (/.f64 z t) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)) (fma.f64 z #s(approx (/ (+ ( (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x) #s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) (-.f64 y x)))))
(if (<=.f64 x #s(literal -5500000000000000178794520703784878169782272149865166274560 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z t)) x)) (if (<=.f64 x #s(literal 15500000000000 binary64)) (fma.f64 z #s(approx (/ (+ ( (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x) #s(approx (+ x (* (- y x) (/ z t))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z t)) x))))
(if (<=.f64 t #s(literal -697206012357015/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) (fma.f64 z #s(approx (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x) (if (<=.f64 t #s(literal -5020235006913509/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (/.f64 #s(approx (* (- y x) z) (.f64 (neg.f64 x) z)) t)) (fma.f64 z #s(approx (/ (+ ( (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x)))
(fma.f64 z #s(approx (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x)
(if (<=.f64 (/.f64 z t) #s(literal -4722366482869645/2361183241434822606848 binary64)) #s(approx (+ (* (/ z t) (- y x)) x) (.f64 (/.f64 z t) y)) (if (<=.f64 (/.f64 z t) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)) #s(approx (+ ( (/ z t) (- y x)) x) (.f64 #s(approx (- 1 (/ z t)) #s(literal 1 binary64)) x)) #s(approx (+ ( (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y))))
(if (<=.f64 (/.f64 z t) #s(literal -4722366482869645/2361183241434822606848 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (/.f64 y t) z)) (if (<=.f64 (/.f64 z t) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)) #s(approx (+ ( (/ z t) (- y x)) x) (.f64 #s(approx (- 1 (/ z t)) #s(literal 1 binary64)) x)) #s(approx (+ x ( (- y x) (/ z t))) (*.f64 (/.f64 y t) z))))
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 #s(approx (- 1 (/ z t)) #s(literal 1 binary64)) x))

Outputs
(if (<=.f64 (+.f64 x (.f64 (-.f64 y x) (/.f64 z t))) #s(literal -inf.0 binary64)) #s(approx (+ x ( (- y x) (/ z t))) (/.f64 (*.f64 (-.f64 y x) z) t)) (fma.f64 (/.f64 z t) (-.f64 y x) x))
(if (<=.f64 (+.f64 x (.f64 (-.f64 y x) (/.f64 z t))) #s(literal -inf.0 binary64)) #s(approx (+ ( (/ z t) (- y x)) x) (/.f64 (*.f64 (-.f64 y x) z) t)) (fma.f64 (/.f64 z t) (-.f64 y x) x))
(if (<=.f64 (/.f64 z t) #s(literal -5000000000 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (/.f64 z t) (-.f64 y x))) (if (<=.f64 (/.f64 z t) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)) (fma.f64 z #s(approx (/ (+ ( (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x) #s(approx (+ x (* (- y x) (/ z t))) (*.f64 (/.f64 z t) (-.f64 y x)))))
(if (or (<=.f64 (/.f64 z t) #s(literal -5000000000 binary64)) (not (<=.f64 (/.f64 z t) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)))) #s(approx (+ (* (/ z t) (- y x)) x) (.f64 (/.f64 z t) (-.f64 y x))) (fma.f64 z #s(approx (/ (+ ( (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x))
(if (<=.f64 x #s(literal -5500000000000000178794520703784878169782272149865166274560 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z t)) x)) (if (<=.f64 x #s(literal 15500000000000 binary64)) (fma.f64 z #s(approx (/ (+ ( (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x) #s(approx (+ x (* (- y x) (/ z t))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z t)) x))))
(if (or (<=.f64 x #s(literal -5500000000000000178794520703784878169782272149865166274560 binary64)) (not (<=.f64 x #s(literal 15500000000000 binary64)))) #s(approx (+ (* (/ z t) (- y x)) x) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z t)) x)) (fma.f64 z #s(approx (/ (+ ( (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x))
(if (<=.f64 t #s(literal -697206012357015/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) (fma.f64 z #s(approx (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x) (if (<=.f64 t #s(literal -5020235006913509/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (/.f64 #s(approx (* (- y x) z) (.f64 (neg.f64 x) z)) t)) (fma.f64 z #s(approx (/ (+ ( (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x)))
(if (or (<=.f64 t #s(literal -697206012357015/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) (not (<=.f64 t #s(literal -5020235006913509/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096 binary64)))) (fma.f64 z #s(approx (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x) #s(approx (+ (* (/ z t) (- y x)) x) (/.f64 #s(approx (* (- y x) z) (*.f64 (neg.f64 x) z)) t)))
(fma.f64 z #s(approx (/ (+ (* (neg x) x) (* y y)) (* (+ y x) t)) (/.f64 y t)) x)
(if (<=.f64 (/.f64 z t) #s(literal -4722366482869645/2361183241434822606848 binary64)) #s(approx (+ (* (/ z t) (- y x)) x) (.f64 (/.f64 z t) y)) (if (<=.f64 (/.f64 z t) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)) #s(approx (+ ( (/ z t) (- y x)) x) (.f64 #s(approx (- 1 (/ z t)) #s(literal 1 binary64)) x)) #s(approx (+ ( (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y))))
(if (or (<=.f64 (/.f64 z t) #s(literal -4722366482869645/2361183241434822606848 binary64)) (not (<=.f64 (/.f64 z t) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)))) #s(approx (+ (* (/ z t) (- y x)) x) (.f64 (/.f64 z t) y)) #s(approx (+ ( (/ z t) (- y x)) x) (*.f64 #s(approx (- 1 (/ z t)) #s(literal 1 binary64)) x)))
(if (<=.f64 (/.f64 z t) #s(literal -4722366482869645/2361183241434822606848 binary64)) #s(approx (+ x (* (- y x) (/ z t))) (.f64 (/.f64 y t) z)) (if (<=.f64 (/.f64 z t) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)) #s(approx (+ ( (/ z t) (- y x)) x) (.f64 #s(approx (- 1 (/ z t)) #s(literal 1 binary64)) x)) #s(approx (+ x ( (- y x) (/ z t))) (*.f64 (/.f64 y t) z))))
(if (or (<=.f64 (/.f64 z t) #s(literal -4722366482869645/2361183241434822606848 binary64)) (not (<=.f64 (/.f64 z t) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)))) #s(approx (+ (* (/ z t) (- y x)) x) (.f64 (/.f64 y t) z)) #s(approx (+ ( (/ z t) (- y x)) x) (*.f64 #s(approx (- 1 (/ z t)) #s(literal 1 binary64)) x)))
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 #s(approx (- 1 (/ z t)) #s(literal 1 binary64)) x))

soundness1.4s (20.5%)

Memory

4.2MiB live, 635.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
0	12	22
1	49	22
2	399	22
3	5361	22
0	8383	21
0	88	295
1	279	275
2	935	207
3	3020	207
4	6089	207
0	8048	196
0	110	375
1	355	278
2	1107	278
3	3199	278
4	6700	278
0	8602	267
0	188	706
1	631	658
2	2059	536
3	5339	536
0	8325	517
0	29	128
0	50	115
1	188	107
2	1486	107
0	8178	107

Stop Event

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

Compiler

Compiled 660 to 330 computations (50% saved)

preprocess91.0ms (1.4%)

Memory: 23.2MiB live, 61.8MiB allocated
Compiler: Compiled 754 to 206 computations (72.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze102.0ms (1.5%)

sample970.0ms (14.7%)

explain106.0ms (1.6%)

preprocess114.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify60.0ms (0.9%)

localize56.0ms (0.8%)

series12.0ms (0.2%)

simplify114.0ms (1.7%)

rewrite294.0ms (4.5%)

eval100.0ms (1.5%)

prune9.0ms (0.1%)

simplify156.0ms (2.4%)

localize246.0ms (3.7%)

series95.0ms (1.4%)

simplify134.0ms (2%)

rewrite365.0ms (5.5%)

eval308.0ms (4.7%)

prune102.0ms (1.6%)

simplify429.0ms (6.5%)

localize95.0ms (1.4%)

series49.0ms (0.7%)

simplify128.0ms (1.9%)

rewrite156.0ms (2.4%)

eval106.0ms (1.6%)

prune20.0ms (0.3%)

simplify100.0ms (1.5%)

localize66.0ms (1%)

series27.0ms (0.4%)

simplify127.0ms (1.9%)

rewrite164.0ms (2.5%)

eval41.0ms (0.6%)

prune18.0ms (0.3%)

regimes51.0ms (0.8%)

regimes28.0ms (0.4%)

regimes14.0ms (0.2%)

regimes18.0ms (0.3%)

regimes3.0ms (0.1%)

regimes17.0ms (0.3%)

regimes2.0ms (0%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch24.0ms (0.4%)

bsearch41.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify65.0ms (1%)

soundness1.4s (20.5%)

preprocess91.0ms (1.4%)

end0.0ms (0%)

Profiling