Metrics for Graphics.Rasterific.Svg.PathConverter:arcToSegments from rasterific-svg-0.2.3.1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze401.0ms (4.3%)

Memory

-19.8MiB live, 176.1MiB 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
25%	25%	74.9%	0.2%	0%	0%	0%	5
25%	25%	74.9%	0.2%	0%	0%	0%	6
37.5%	37.4%	62.4%	0.2%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.2%	0%	0%	0%	8
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	9
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	10
65.6%	65.5%	34.3%	0.2%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.2%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.1s (12.2%)

Memory

56.4MiB live, 1 391.6MiB allocated

Samples

772.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 502.0ms

ival-mult: 280.0ms (55.7% of total)

ival-div: 177.0ms (35.2% of total)

ival-add: 35.0ms (7% of total)

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

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

Bogosity

explain224.0ms (2.4%)

Memory

-12.8MiB live, 264.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
84	-	1	(-1.6907746283984802e+221 -1.9052823661158257e-12 -2.249458723215797e-161 6.120585528043203e-22)	`(/.f64 (.f64 z z) (.f64 t t))`
69	-	0	-	`(/.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`t`
0	-	0	-	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(*.f64 t t)`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/o	18	0
↳	`(*.f64 z z)`	overflow	60
↳	`(*.f64 t t)`	overflow	68
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/u	14	0
↳	`(*.f64 z z)`	underflow	65
↳	`(*.f64 t t)`	underflow	75
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/o	11	0
↳	`(*.f64 x x)`	overflow	58
↳	`(*.f64 y y)`	overflow	67
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/u	10	0
↳	`(*.f64 t t)`	underflow	75
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/u	8	0
↳	`(*.f64 x x)`	underflow	64
↳	`(*.f64 y y)`	underflow	65
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/u	7	0
↳	`(*.f64 y y)`	underflow	65
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	o/n	7	0
↳	`(*.f64 x x)`	overflow	58
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	u/n	6	0
↳	`(*.f64 x x)`	underflow	64
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	o/n	5	0
↳	`(*.f64 z z)`	overflow	60
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	u/n	4	0
↳	`(*.f64 z z)`	underflow	65
`/.f64`	`(/.f64 (.f64 z z) (.f64 t t))`	n/o	3	0
↳	`(*.f64 t t)`	overflow	68
`/.f64`	`(/.f64 (.f64 x x) (.f64 y y))`	n/o	2	0
↳	`(*.f64 y y)`	overflow	67

Confusion

	Predicted +	Predicted -
+	86	20
-	6	144

Precision

0.9347826086956522

Recall

0.8113207547169812

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	86	0	20
-	6	0	144

Precision?

0.9347826086956522

Recall?

0.8113207547169812

Freqs

test

number	freq
0	164
1	89
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

16.341552734375

Average Time

0.06383419036865234

Samples

22.0ms

256×

valid

Compiler

Compiled 152 to 46 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (59.2% of total)

ival-div: 4.0ms (29.6% of total)

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

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

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

preprocess273.0ms (2.9%)

Memory

-1.9MiB live, 36.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	214
1	175	214
2	626	214
3	2107	214
4	3907	214
5	4792	214
6	4924	214
7	4984	214
8	5060	214
9	5119	214
10	5791	214
11	6095	214
12	6095	214
13	6095	214
14	6463	214
15	6639	214
16	6799	214
17	6863	214
18	6863	214
0	11	15
0	18	15
1	31	15
2	43	15
3	43	15
0	43	14

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs t)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	18	45
1	31	45
2	43	45
3	43	45
0	43	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.5%)

Memory

-21.8MiB live, 51.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 t t)
accuracy	15.878636265344198	(/.f64 (.f64 x x) (.f64 y y))
accuracy	19.873758095362298	(/.f64 (.f64 z z) (.f64 t t))

Samples

43.0ms

256×

valid

Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions

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

ival-mult: 22.0ms (64% of total)

ival-div: 11.0ms (32% of total)

ival-add: 1.0ms (2.9% of total)

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

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

series16.0ms (0.2%)

Memory

-10.7MiB live, 27.6MiB allocated

Counts

7 → 11

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
2.0ms	z	@	0	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
2.0ms	x	@	0	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
2.0ms	x	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
1.0ms	z	@	inf	((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))

simplify129.0ms (1.4%)

Memory

3.5MiB live, 156.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	109
1	60	109
2	192	109
3	825	109
4	2854	109
5	3969	109
6	6263	109
7	7757	109
0	8061	104

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

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

Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(pow x 2)
(*.f64 x x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (.f64 (/.f64 (.f64 y y) t) z) (/.f64 z t) (.f64 x x)) (.f64 y y))
(pow y 2)
(*.f64 y y)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t))
(pow t 2)
(*.f64 t t)

rewrite281.0ms (3%)

Memory

-0.2MiB live, 155.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
0	18	41
1	69	33
2	813	33
0	8377	33

Stop Event

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

Counts

7 → 418

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 z t))) (+.f64 (/.f64 x y) (/.f64 z t)))
(.f64 (.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (pow.f64 t #s(literal -2 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 t x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (.f64 t y) #s(literal 2 binary64)))))
(.f64 (fma.f64 (.f64 z (/.f64 z t)) y (.f64 t (.f64 x (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 t y)))
(.f64 (fma.f64 (.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) (neg.f64 y) (.f64 (.f64 t (neg.f64 x)) x)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 t (neg.f64 y)) y)))
(.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) y (.f64 t (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 t (*.f64 y y))))
(.f64 (+.f64 y (.f64 (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y)))
(.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (pow.f64 (.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))
(.f64 (fma.f64 (neg.f64 y) y (.f64 (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (neg.f64 y))))
(.f64 (fma.f64 y y (.f64 (.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) y)))
(.f64 (fma.f64 (neg.f64 z) (.f64 z y) (/.f64 (neg.f64 (pow.f64 (.f64 t x) #s(literal 2 binary64))) y)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) (*.f64 t y))))
(.f64 (fma.f64 (neg.f64 z) (.f64 z (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (.f64 (neg.f64 t) t)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
(.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (.f64 t x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (.f64 t y) #s(literal 2 binary64))))))
(.f64 (fma.f64 (.f64 z z) y (/.f64 (pow.f64 (.f64 t x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 t t) y)))
(.f64 (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (.f64 t t)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(.f64 (fma.f64 (.f64 x (/.f64 x y)) t (.f64 y (.f64 z (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 y t)))
(.f64 (fma.f64 (.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) (neg.f64 t) (.f64 (.f64 y (neg.f64 z)) z)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y (neg.f64 t)) t)))
(.f64 (fma.f64 (.f64 (.f64 x (/.f64 x y)) t) t (.f64 (.f64 y z) z)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y t) t)))
(.f64 (+.f64 t (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (/.f64 z t))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t)))
(.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))
(.f64 (fma.f64 (neg.f64 t) t (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (neg.f64 t))))
(.f64 (fma.f64 t t (.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) t)))
(.f64 (fma.f64 (neg.f64 x) (.f64 x t) (/.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) t)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (*.f64 y t))))
(.f64 (fma.f64 (neg.f64 x) (.f64 x (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))))
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eval42.0ms (0.5%)

Memory: 32.4MiB live, 69.4MiB allocated
Compiler: Compiled 8 601 to 1 111 computations (87.1% saved)

prune18.0ms (0.2%)

Memory

1.2MiB live, 38.2MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	410	17	427
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	410	18	428

Accuracy

100.0%

Counts

428 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
	89.1%	(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y y)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
	58.7%	(/.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) y (.f64 t (.f64 x x))) (.f64 t (.f64 y y)))
	78.5%	(/.f64 (fma.f64 (.f64 z (/.f64 z t)) y (.f64 t (.f64 x (/.f64 x y)))) (.f64 t y))
▶	74.2%	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
	71.8%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	82.2%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
▶	78.4%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	59.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
	82.2%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
	66.0%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
▶	71.5%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 x y) x))) (/.f64 (.f64 z z) (*.f64 t t)))
	74.1%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	71.8%	(+.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	72.0%	(+.f64 (.f64 x (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	60.3%	(.f64 (+.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 (.f64 t x) #s(literal 2 binary64))) (pow.f64 (.f64 y t) #s(literal -2 binary64)))
	92.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))
▶	56.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))

Compiler

Compiled 599 to 429 computations (28.4% saved)

simplify12.0ms (0.1%)

Memory

-36.7MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) x)
cost-diff	0	(/.f64 y (*.f64 (/.f64 x y) x))
cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 x y) x))) (/.f64 (.f64 z z) (*.f64 t t)))
cost-diff	0	(*.f64 z z)
cost-diff	0	(/.f64 y x)
cost-diff	0	(/.f64 x y)
cost-diff	128	(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (.f64 z z) (.f64 t t)))
cost-diff	0	(/.f64 (*.f64 (/.f64 z t) z) t)
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
cost-diff	0	(/.f64 z t)
cost-diff	0	(/.f64 (/.f64 z t) t)
cost-diff	0	(*.f64 (/.f64 (/.f64 z t) t) z)
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
cost-diff	0	(/.f64 x y)
cost-diff	0	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
cost-diff	0	(/.f64 z t)
cost-diff	0	(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	219
0	57	197
1	84	197
2	104	197
3	138	197
4	194	197
5	231	197
6	231	197
0	231	197

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize79.0ms (0.8%)

Memory

38.7MiB live, 154.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(*.f64 (/.f64 x y) x)
accuracy	0.7694577293999852	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 x y) x)))
accuracy	3.5666235875961037	(/.f64 y (*.f64 (/.f64 x y) x))
accuracy	19.873758095362298	(/.f64 (.f64 z z) (.f64 t t))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 t t)
accuracy	0.20150375976844204	(/.f64 (/.f64 x y) (/.f64 y x))
accuracy	19.873758095362298	(/.f64 (.f64 z z) (.f64 t t))
accuracy	0	(*.f64 x x)
accuracy	0.1640625	(*.f64 (/.f64 z t) z)
accuracy	4.177027571335694	(/.f64 (*.f64 (/.f64 z t) z) t)
accuracy	15.878636265344198	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0	(/.f64 z t)
accuracy	0.15234375	(/.f64 (/.f64 z t) t)
accuracy	4.637374851184761	(*.f64 (/.f64 (/.f64 z t) t) z)
accuracy	25.172771279565413	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
accuracy	0	(/.f64 z t)
accuracy	0	(/.f64 x y)
accuracy	0.125	(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
accuracy	0.236660009768442	(pow.f64 (/.f64 x y) #s(literal 2 binary64))

Samples

57.0ms

256×

valid

Compiler

Compiled 433 to 68 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 15.0ms (40.4% of total)

ival-mult: 11.0ms (29.6% of total)

ival-add: 7.0ms (18.8% of total)

ival-pow2: 3.0ms (8.1% of total)

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

exact: 0.0ms (0% of total)

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

series106.0ms (1.1%)

Memory

-26.8MiB live, 57.4MiB allocated

Counts

23 → 18

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
59.0ms	x	@	0	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (/ 1 (/ y (* (/ x y) x))) (/ (* z z) (* t t))) (/ y (* (/ x y) x)) (* (/ x y) x) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t) (/ 1 (/ y (* (/ x y) x))))
25.0ms	z	@	-inf	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (/ 1 (/ y (* (/ x y) x))) (/ (* z z) (* t t))) (/ y (* (/ x y) x)) (* (/ x y) x) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t) (/ 1 (/ y (* (/ x y) x))))
3.0ms	x	@	-inf	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (/ 1 (/ y (* (/ x y) x))) (/ (* z z) (* t t))) (/ y (* (/ x y) x)) (* (/ x y) x) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t) (/ 1 (/ y (* (/ x y) x))))
2.0ms	z	@	inf	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (/ 1 (/ y (* (/ x y) x))) (/ (* z z) (* t t))) (/ y (* (/ x y) x)) (* (/ x y) x) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t) (/ 1 (/ y (* (/ x y) x))))
2.0ms	y	@	-inf	((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (/ 1 (/ y (* (/ x y) x))) (/ (* z z) (* t t))) (/ y (* (/ x y) x)) (* (/ x y) x) (/ (* x x) (* y y)) (* (/ z t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t) (/ 1 (/ y (* (/ x y) x))))

simplify132.0ms (1.4%)

Memory

9.3MiB live, 165.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	140
1	67	140
2	202	140
3	846	140
4	2869	140
5	3987	140
6	6332	140
7	7823	140
0	8127	135

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

Calls

Call 1

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

Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ x y)
(/.f64 x y)
(pow x 2)
(*.f64 x x)
(/ y x)
(/.f64 y x)
(/ (pow y 2) (pow x 2))
(*.f64 (/.f64 (/.f64 y x) x) y)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (.f64 (/.f64 y t) z) (.f64 (/.f64 y t) z) (.f64 x x)) (.f64 y y))
(pow y 2)
(*.f64 y y)
(/ z t)
(/.f64 z t)
(/ z (pow t 2))
(/.f64 (/.f64 z t) t)
(pow z 2)
(*.f64 z z)
(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (.f64 (/.f64 t y) x) (.f64 (/.f64 t y) x) (.f64 z z)) (.f64 t t))
(pow t 2)
(*.f64 t t)

rewrite385.0ms (4.1%)

Memory

29.4MiB live, 257.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	174
0	57	139
1	226	137
2	2897	137
0	8338	137

Stop Event

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

Counts

23 → 1 933

Calls

Call 1

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

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

eval204.0ms (2.2%)

Memory: -11.6MiB live, 296.4MiB allocated
Compiler: Compiled 19 812 to 2 775 computations (86% saved)

prune66.0ms (0.7%)

Memory

-16.8MiB live, 78.4MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	932	17	949
Fresh	7	5	12
Picked	3	2	5
Done	0	1	1
Total	942	25	967

Accuracy

100.0%

Counts

967 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
	82.2%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
▶	97.3%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
	89.1%	(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))) x))
	56.3%	(/.f64 (fma.f64 (.f64 (/.f64 z t) z) (.f64 (/.f64 y x) y) (.f64 t x)) (.f64 t (*.f64 (/.f64 y x) y)))
	78.5%	(/.f64 (fma.f64 (.f64 (/.f64 z t) z) y (.f64 t (.f64 (/.f64 x y) x))) (.f64 t y))
	58.7%	(/.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) y (.f64 t (.f64 x x))) (.f64 t (.f64 y y)))
	71.8%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	69.5%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
	78.4%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z (/.f64 t z)) t))
✓	59.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
▶	66.0%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
✓	71.5%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 x y) x))) (/.f64 (.f64 z z) (*.f64 t t)))
	74.1%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
▶	71.8%	(+.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
▶	60.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
	56.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
	56.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 (neg.f64 z) #s(literal 1 binary64)) (.f64 (neg.f64 t) (/.f64 t z))))
	42.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
✓	56.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
	56.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z))
	56.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (pow.f64 t #s(literal -1 binary64)) z) t) z))
▶	45.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
	60.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
	45.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 t t) z)) z))

Compiler

Compiled 907 to 611 computations (32.6% saved)

simplify252.0ms (2.7%)

Memory

16.6MiB live, 54.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 x) (/.f64 x y))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	128	(+.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (/.f64 x y)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (*.f64 y y) x)
cost-diff	0	(/.f64 x (/.f64 (*.f64 y y) x))
cost-diff	128	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
cost-diff	0	(/.f64 t z)
cost-diff	0	(/.f64 z t)
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
cost-diff	384	(/.f64 (/.f64 z t) (/.f64 t z))
cost-diff	-384	(/.f64 z (*.f64 t t))
cost-diff	0	(*.f64 t t)
cost-diff	0	(.f64 (/.f64 z (.f64 t t)) z)
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
cost-diff	0	(*.f64 (/.f64 y x) y)
cost-diff	0	(/.f64 x (*.f64 (/.f64 y x) y))
cost-diff	0	(/.f64 z t)
cost-diff	0	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	221
0	58	213
1	97	211
2	152	211
3	310	211
4	565	211
5	1095	211
6	2522	211
7	3276	211
8	3646	211
9	4182	211
10	4756	211
11	4835	211
12	4867	211
13	4907	211
14	5075	211
15	5272	211
16	5497	211
17	5690	211
18	5896	211
19	5948	211
20	5954	211
21	5978	211
22	5998	211
23	6006	211
24	6006	211
25	6030	211
26	6074	211
27	6074	211
0	6074	211

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize181.0ms (1.9%)

Memory

1.0MiB live, 152.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.15234375	(*.f64 (neg.f64 x) (/.f64 x y))
accuracy	3.8732069915755925	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (/.f64 x y)))
accuracy	19.873758095362298	(/.f64 (.f64 z z) (.f64 t t))
accuracy	0	(*.f64 t t)
accuracy	4.425814297704576	(/.f64 x (/.f64 (*.f64 y y) x))
accuracy	6.962992736477914	(/.f64 (*.f64 y y) x)
accuracy	19.873758095362298	(/.f64 (.f64 z z) (.f64 t t))
accuracy	0	(/.f64 z t)
accuracy	0	(/.f64 t z)
accuracy	0.19921875	(/.f64 (/.f64 z t) (/.f64 t z))
accuracy	25.172771279565413	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
accuracy	0	(*.f64 t t)
accuracy	4.637374851184761	(.f64 (/.f64 z (.f64 t t)) z)
accuracy	11.343989482923412	(/.f64 z (*.f64 t t))
accuracy	25.172771279565413	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
accuracy	0	(/.f64 y x)
accuracy	0.125	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
accuracy	0.12890625	(*.f64 (/.f64 y x) y)
accuracy	4.425814297704576	(/.f64 x (*.f64 (/.f64 y x) y))

Samples

152.0ms

256×

valid

Compiler

Compiled 429 to 69 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-div: 84.0ms (62.7% of total)

ival-add: 36.0ms (26.9% of total)

ival-mult: 13.0ms (9.7% of total)

ival-neg: 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)

series58.0ms (0.6%)

Memory

11.0MiB live, 47.0MiB allocated

Counts

22 → 17

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
34.0ms	y	@	-inf	((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ -1 y) (* (neg x) (/ x y))) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (/ y x) (/ (* z z) (* t t)) (neg x))
5.0ms	y	@	inf	((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ -1 y) (* (neg x) (/ x y))) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (/ y x) (/ (* z z) (* t t)) (neg x))
2.0ms	x	@	-inf	((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ -1 y) (* (neg x) (/ x y))) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (/ y x) (/ (* z z) (* t t)) (neg x))
2.0ms	y	@	0	((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ -1 y) (* (neg x) (/ x y))) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (/ y x) (/ (* z z) (* t t)) (neg x))
2.0ms	z	@	-inf	((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ -1 y) (* (neg x) (/ x y))) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (/ y x) (/ (* z z) (* t t)) (neg x))

simplify122.0ms (1.3%)

Memory

-14.5MiB live, 71.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	133
1	76	133
2	216	133
3	864	133
4	2954	133
5	4233	133
6	7401	133
0	8178	128

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite528.0ms (5.7%)

Memory

-121.3MiB live, 243.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	179
0	58	154
1	224	138
2	3280	138
0	8545	138

Stop Event

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

Counts

22 → 1 681

Calls

Call 1

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

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

eval199.0ms (2.1%)

Memory: 20.0MiB live, 175.9MiB allocated
Compiler: Compiled 17 636 to 2 343 computations (86.7% saved)

prune33.0ms (0.3%)

Memory

-1.9MiB live, 78.9MiB allocated

Pruning

27 alts after pruning (19 fresh and 8 done)

	Pruned	Kept	Total
New	797	4	801
Fresh	2	15	17
Picked	0	5	5
Done	0	3	3
Total	799	27	826

Accuracy

100.0%

Counts

826 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
▶	82.2%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
✓	97.3%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
▶	89.1%	(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 (neg.f64 y) y)) (neg.f64 x)))
	56.3%	(/.f64 (fma.f64 (.f64 (/.f64 z t) z) (.f64 (/.f64 y x) y) (.f64 t x)) (.f64 t (*.f64 (/.f64 y x) y)))
	78.5%	(/.f64 (fma.f64 (.f64 (/.f64 z t) z) y (.f64 t (.f64 (/.f64 x y) x))) (.f64 t y))
	58.7%	(/.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) y (.f64 t (.f64 x x))) (.f64 t (.f64 y y)))
	71.8%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
	69.5%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 (*.f64 z z) t) t))
	78.4%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (/.f64 z (/.f64 t z)) t))
✓	59.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
✓	66.0%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
✓	71.5%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 x y) x))) (/.f64 (.f64 z z) (*.f64 t t)))
	74.1%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
✓	71.8%	(+.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
✓	60.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
	60.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t))))
	56.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
▶	42.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
	56.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
✓	56.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
	56.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z))
	56.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (pow.f64 t #s(literal -1 binary64)) z) t) z))
✓	45.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
	60.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
	45.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 t t) z)) z))
▶	55.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 t z) t)) z))

Compiler

Compiled 910 to 607 computations (33.3% saved)

simplify149.0ms (1.6%)

Memory

-0.5MiB live, 120.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(/.f64 x (*.f64 (neg.f64 y) y))
cost-diff	0	(/.f64 z t)
cost-diff	0	(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 (neg.f64 y) y)) (neg.f64 x)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 z t)
cost-diff	0	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
cost-diff	0	(*.f64 (/.f64 t z) t)
cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 t z) t)) z)
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 t z) t)) z))
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t))
cost-diff	-384	(/.f64 (.f64 z z) (.f64 t t))
cost-diff	0	(*.f64 t t)
cost-diff	0	(*.f64 z z)
cost-diff	0	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
cost-diff	0	(*.f64 (/.f64 x y) x)
cost-diff	0	(/.f64 (*.f64 (/.f64 x y) x) y)
cost-diff	0	(/.f64 z t)
cost-diff	0	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	206
0	57	196
1	96	196
2	164	194
3	377	194
4	893	194
5	1862	194
6	2041	194
7	2367	194
8	3134	194
9	3492	194
10	3665	194
11	3725	194
12	3765	194
13	3775	194
14	3775	194
15	3775	194
16	3775	194
17	3775	194
0	3775	194

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize120.0ms (1.3%)

Memory

-37.0MiB live, 131.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.125	(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 (neg.f64 y) y)) (neg.f64 x)))
accuracy	4.131430361016144	(.f64 (/.f64 x (.f64 (neg.f64 y) y)) (neg.f64 x))
accuracy	7.222448067620968	(/.f64 x (*.f64 (neg.f64 y) y))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0.125	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
accuracy	15.878636265344198	(/.f64 (.f64 x x) (.f64 y y))
accuracy	0.13671875	(*.f64 (/.f64 t z) t)
accuracy	0.6105923177750161	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t z) t))
accuracy	4.637374851184761	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 t z) t)) z)
accuracy	25.172771279565413	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 t z) t)) z))
accuracy	0	(*.f64 z z)
accuracy	0	(*.f64 t t)
accuracy	19.873758095362298	(/.f64 (.f64 z z) (.f64 t t))
accuracy	25.172771279565413	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
accuracy	0	(/.f64 x y)
accuracy	0.125	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
accuracy	0.15234375	(*.f64 (/.f64 x y) x)
accuracy	3.8263319915755925	(/.f64 (*.f64 (/.f64 x y) x) y)

Samples

76.0ms

256×

valid

Compiler

Compiled 399 to 67 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 23.0ms (47.4% of total)

ival-mult: 19.0ms (39.1% of total)

ival-add: 4.0ms (8.2% of total)

ival-neg: 2.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.3%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

22 → 19

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ 1 (* (/ t z) t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ 1 (* (/ t z) t)) z) (* (/ t z) t) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (+ (* (/ z t) (/ z t)) (* (/ x (* (neg y) y)) (neg x))) (/ x (* (neg y) y)) (* (neg y) y) (/ x y) (/ (* x x) (* y y)) (* (/ x (* (neg y) y)) (neg x)) (neg x))
2.0ms	x	@	-inf	((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ 1 (* (/ t z) t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ 1 (* (/ t z) t)) z) (* (/ t z) t) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (+ (* (/ z t) (/ z t)) (* (/ x (* (neg y) y)) (neg x))) (/ x (* (neg y) y)) (* (neg y) y) (/ x y) (/ (* x x) (* y y)) (* (/ x (* (neg y) y)) (neg x)) (neg x))
2.0ms	z	@	-inf	((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ 1 (* (/ t z) t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ 1 (* (/ t z) t)) z) (* (/ t z) t) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (+ (* (/ z t) (/ z t)) (* (/ x (* (neg y) y)) (neg x))) (/ x (* (neg y) y)) (* (neg y) y) (/ x y) (/ (* x x) (* y y)) (* (/ x (* (neg y) y)) (neg x)) (neg x))
2.0ms	y	@	-inf	((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ 1 (* (/ t z) t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ 1 (* (/ t z) t)) z) (* (/ t z) t) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (+ (* (/ z t) (/ z t)) (* (/ x (* (neg y) y)) (neg x))) (/ x (* (neg y) y)) (* (neg y) y) (/ x y) (/ (* x x) (* y y)) (* (/ x (* (neg y) y)) (neg x)) (neg x))
2.0ms	x	@	0	((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ 1 (* (/ t z) t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ 1 (* (/ t z) t)) z) (* (/ t z) t) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (+ (* (/ z t) (/ z t)) (* (/ x (* (neg y) y)) (neg x))) (/ x (* (neg y) y)) (* (neg y) y) (/ x y) (/ (* x x) (* y y)) (* (/ x (* (neg y) y)) (neg x)) (neg x))

simplify158.0ms (1.7%)

Memory

-0.2MiB live, 157.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	142
1	77	142
2	227	142
3	894	142
4	2970	142
5	4120	142
6	6624	142
0	8471	137

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

rewrite319.0ms (3.4%)

Memory

19.4MiB live, 241.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	178
0	57	153
1	197	137
2	2046	137
0	8312	137

Stop Event

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

Counts

22 → 1 748

Calls

Call 1

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

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

eval183.0ms (2%)

Memory: -25.8MiB live, 231.3MiB allocated
Compiler: Compiled 21 228 to 2 505 computations (88.2% saved)

prune47.0ms (0.5%)

Memory

9.3MiB live, 86.2MiB allocated

Pruning

29 alts after pruning (16 fresh and 13 done)

	Pruned	Kept	Total
New	994	4	998
Fresh	2	12	14
Picked	0	5	5
Done	0	8	8
Total	996	29	1 025

Accuracy

100.0%

Counts

1 025 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.9%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y))
✓	82.2%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
✓	97.3%	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
✓	89.1%	(fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 (neg.f64 y) y)) (neg.f64 x)))
	56.3%	(/.f64 (fma.f64 (.f64 (/.f64 z t) z) (.f64 (/.f64 y x) y) (.f64 t x)) (.f64 t (*.f64 (/.f64 y x) y)))
	78.5%	(/.f64 (fma.f64 (.f64 (/.f64 z t) z) y (.f64 t (.f64 (/.f64 x y) x))) (.f64 t y))
	58.7%	(/.f64 (fma.f64 (.f64 (.f64 z (/.f64 z t)) y) y (.f64 t (.f64 x x))) (.f64 t (.f64 y y)))
	71.8%	(+.f64 (/.f64 (.f64 (/.f64 x y) x) y) (/.f64 (.f64 z z) (*.f64 t t)))
✓	59.9%	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
✓	66.0%	(+.f64 (/.f64 x (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
✓	71.5%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (/.f64 x y) x))) (/.f64 (.f64 z z) (*.f64 t t)))
	74.1%	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
✓	71.8%	(+.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
✓	60.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
	60.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t))))
	56.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
✓	42.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (.f64 z z) (.f64 t t)))
	56.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
	56.0%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 t) (/.f64 t z)) (.f64 z #s(literal -1 binary64)))))
	56.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 (/.f64 z t) (neg.f64 z)))))
✓	56.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
	56.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z))
	56.6%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 (.f64 (pow.f64 t #s(literal -1 binary64)) z) t) z))
✓	45.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))
	56.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (neg.f64 (/.f64 t z))) (/.f64 #s(literal -1 binary64) t)))
	60.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
	45.5%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 t t) z)) z))
✓	55.7%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 t z) t)) z))
	50.3%	#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (.f64 z z) (neg.f64 t))))

Compiler

Compiled 1 452 to 572 computations (60.6% saved)

regimes285.0ms (3.1%)

Memory

-5.2MiB live, 274.9MiB allocated

Counts

43 → 1

Calls

Call 1

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

Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))

Calls

11 calls:

75.0ms	t
62.0ms	x
44.0ms	(/.f64 (.f64 x x) (.f64 y y))
19.0ms	(*.f64 x x)
13.0ms	(/.f64 (.f64 z z) (.f64 t t))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`t`
99.6%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
99.6%	1	`(/.f64 (.f64 x x) (.f64 y y))`
99.6%	1	`(*.f64 x x)`
99.6%	1	`(*.f64 y y)`
99.6%	1	`(/.f64 (.f64 z z) (.f64 t t))`
99.6%	1	`(*.f64 z z)`
99.6%	1	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes348.0ms (3.7%)

Memory

6.0MiB live, 127.0MiB allocated

Counts

39 → 2

Calls

Call 1

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

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

Calls

11 calls:

166.0ms	(/.f64 (.f64 x x) (.f64 y y))
67.0ms	z
32.0ms	(*.f64 z z)
11.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
99.1%	2	`y`
97.3%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
97.3%	1	`(*.f64 y y)`
97.3%	1	`x`
97.3%	1	`z`
97.3%	1	`t`
97.3%	1	`(/.f64 (.f64 x x) (.f64 y y))`
97.3%	1	`(*.f64 x x)`
97.3%	1	`(/.f64 (.f64 z z) (.f64 t t))`
97.3%	1	`(*.f64 z z)`
97.3%	1	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes288.0ms (3.1%)

Memory

23.6MiB live, 98.4MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

11 calls:

197.0ms	(*.f64 z z)
21.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
8.0ms	z
8.0ms	y
8.0ms	x

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`z`
97.3%	1	`t`
97.3%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
97.3%	1	`(/.f64 (.f64 x x) (.f64 y y))`
97.3%	1	`(*.f64 x x)`
97.3%	1	`(*.f64 y y)`
97.3%	1	`(/.f64 (.f64 z z) (.f64 t t))`
97.3%	1	`(*.f64 z z)`
97.3%	1	`(*.f64 t t)`
97.3%	1	`y`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes153.0ms (1.6%)

Memory

-13.6MiB live, 77.0MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x)))

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

Calls

11 calls:

49.0ms	(*.f64 t t)
37.0ms	(/.f64 (.f64 x x) (.f64 y y))
8.0ms	z
8.0ms	y
8.0ms	t

Results

Accuracy	Segments	Branch
92.7%	1	`x`
92.7%	1	`y`
92.7%	1	`z`
94.5%	2	`t`
92.7%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
97.0%	2	`(/.f64 (.f64 x x) (.f64 y y))`
92.7%	1	`(*.f64 x x)`
92.7%	1	`(*.f64 y y)`
95.3%	2	`(/.f64 (.f64 z z) (.f64 t t))`
92.7%	1	`(*.f64 z z)`
94.5%	2	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes23.0ms (0.3%)

Memory

-9.1MiB live, 27.5MiB allocated

Counts

25 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	(/.f64 (.f64 x x) (.f64 y y))
7.0ms	(/.f64 (.f64 z z) (.f64 t t))

Results

Accuracy	Segments	Branch
95.3%	2	`(/.f64 (.f64 z z) (.f64 t t))`
95.1%	2	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes125.0ms (1.3%)

Memory

-11.2MiB live, 109.8MiB allocated

Counts

24 → 2

Calls

Call 1

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

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

Calls

11 calls:

31.0ms	(/.f64 (.f64 x x) (.f64 y y))
29.0ms	z
11.0ms	(*.f64 x x)
7.0ms	t
7.0ms	y

Results

Accuracy	Segments	Branch
89.0%	4	`y`
88.8%	3	`x`
86.9%	3	`z`
82.2%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
86.4%	3	`(*.f64 y y)`
86.9%	3	`(*.f64 z z)`
88.4%	3	`(*.f64 x x)`
89.3%	3	`t`
89.3%	3	`(*.f64 t t)`
91.1%	2	`(/.f64 (.f64 x x) (.f64 y y))`
92.2%	2	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes42.0ms (0.4%)

Memory

2.3MiB live, 39.2MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	t
6.0ms	x
5.0ms	(*.f64 t t)
5.0ms	(/.f64 (.f64 z z) (.f64 t t))
5.0ms	(/.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
85.0%	2	`x`
82.2%	1	`t`
82.2%	1	`(*.f64 t t)`
87.1%	2	`(/.f64 (.f64 x x) (.f64 y y))`
82.2%	1	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes193.0ms (2.1%)

Memory

9.2MiB live, 133.5MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

11 calls:

104.0ms	(*.f64 z z)
36.0ms	(/.f64 (.f64 z z) (.f64 t t))
10.0ms	(*.f64 y y)
6.0ms	z
6.0ms	t

Results

Accuracy	Segments	Branch
72.8%	3	`t`
77.5%	3	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
78.2%	2	`(/.f64 (.f64 z z) (.f64 t t))`
70.7%	2	`(*.f64 t t)`
72.4%	2	`(*.f64 y y)`
70.7%	2	`x`
68.5%	2	`z`
68.1%	2	`(*.f64 z z)`
72.4%	2	`y`
70.7%	2	`(*.f64 x x)`
79.3%	3	`(/.f64 (.f64 x x) (.f64 y y))`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes60.0ms (0.6%)

Memory

-6.9MiB live, 71.4MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

11 calls:

11.0ms	x
6.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
5.0ms	z
5.0ms	y
5.0ms	t

Results

Accuracy	Segments	Branch
60.5%	1	`(*.f64 z z)`
60.5%	1	`z`
63.1%	2	`x`
63.1%	2	`(*.f64 x x)`
60.5%	1	`(*.f64 t t)`
60.5%	1	`t`
62.8%	2	`y`
62.8%	2	`(*.f64 y y)`
60.5%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
62.7%	2	`(/.f64 (.f64 x x) (.f64 y y))`
60.5%	1	`(/.f64 (.f64 z z) (.f64 t t))`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes48.0ms (0.5%)

Memory

-5.0MiB live, 34.2MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

7 calls:

28.0ms	(/.f64 (.f64 x x) (.f64 y y))
3.0ms	x
3.0ms	y
3.0ms	t
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
60.5%	1	`t`
60.5%	1	`(*.f64 t t)`
60.5%	1	`(/.f64 (.f64 x x) (.f64 y y))`
60.5%	1	`y`
60.5%	1	`(*.f64 y y)`
60.5%	1	`x`
60.5%	1	`(*.f64 x x)`

Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes59.0ms (0.6%)

Memory

10.0MiB live, 50.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

11 calls:

30.0ms	z
3.0ms	x
3.0ms	t
3.0ms	y
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
60.5%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
60.5%	1	`(/.f64 (.f64 z z) (.f64 t t))`
60.5%	1	`(*.f64 z z)`
60.5%	1	`x`
60.5%	1	`z`
60.5%	1	`(/.f64 (.f64 x x) (.f64 y y))`
60.5%	1	`(*.f64 x x)`
60.5%	1	`y`
60.5%	1	`t`
60.5%	1	`(*.f64 y y)`
60.5%	1	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes29.0ms (0.3%)

Memory

-8.1MiB live, 31.2MiB allocated

Accuracy

Total -2.4b remaining (-6.8%)

Threshold costs -2.4b (-6.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

11 calls:

14.0ms	z
2.0ms	t
2.0ms	x
2.0ms	y
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
45.5%	1	`(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))`
45.5%	1	`(/.f64 (.f64 z z) (.f64 t t))`
45.5%	1	`(*.f64 z z)`
45.5%	1	`x`
45.5%	1	`z`
45.5%	1	`(/.f64 (.f64 x x) (.f64 y y))`
45.5%	1	`(*.f64 x x)`
45.5%	1	`y`
45.5%	1	`t`
45.5%	1	`(*.f64 y y)`
45.5%	1	`(*.f64 t t)`

Compiler

Compiled 45 to 61 computations (-35.6% saved)

bsearch4.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	3.837034946101604e-233	2.0993230720788653e-230

Samples

2.0ms

32×

valid

Compiler

Compiled 74 to 58 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (79.1% of total)

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

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

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

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.705823373608239e+301	6.35473646306555e+303

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.213305506768784e+250	1.8401624932485953e+283

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.213305506768784e+250	1.8401624932485953e+283

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch9.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-failed

Steps

Time	Left	Right
8.0ms	+inf	NaN

Samples

5.0ms

101×

invalid

Compiler

Compiled 18 to 18 computations (0% saved)

Precisions

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

ival-div: 1.0ms (40.8% of total)

ival-mult: 1.0ms (40.8% of total)

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

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

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8401624932485953e+283	2.3233058111800795e+293

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch38.0ms (0.4%)

Memory

-16.3MiB live, 22.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	9.230227069374492e+292	1.3074417144625038e+300

Samples

31.0ms

144×

valid

Compiler

Compiled 459 to 333 computations (27.5% saved)

Precisions

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

ival-mult: 3.0ms (59.6% of total)

ival-div: 2.0ms (39.7% of total)

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

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

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

simplify53.0ms (0.6%)

Memory

21.7MiB live, 61.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	413
1	98	413
2	122	409
3	160	409
4	210	409
5	270	409
6	345	409
7	509	409
8	626	409
9	696	409
10	739	409
11	752	409
12	753	409

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal 3495959950985713/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 (/.f64 x y) x) y)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (.f64 (/.f64 y x) y))))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 (neg.f64 y) y)) (neg.f64 x))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (*.f64 y y))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208 binary64)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (.f64 x x) #s(literal 51999999999999997214925054365727438374974780306176690725032376992570607215988146413369225669011598769579995867980059770615510275472227111001385870777315132063609740867229999681356183857082299790193645967961836447565638520718935969664946797388055129619818941936413073718453781887907160452296081408 binary64)) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (.f64 z z) (neg.f64 t)))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))

Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 y #s(literal 3495959950985713/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 (/.f64 x y) x) y)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (.f64 (/.f64 y x) y))))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 (neg.f64 y) y)) (neg.f64 x))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (.f64 y y)) x)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (.f64 (/.f64 x (*.f64 y y)) x)))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352 binary64)) (+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (*.f64 y y))))
(if (<=.f64 (/.f64 (.f64 x x) (.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (/.f64 (.f64 z z) (.f64 t t)) #s(literal 19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208 binary64)) (+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))
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(if (<=.f64 (.f64 x x) #s(literal 51999999999999997214925054365727438374974780306176690725032376992570607215988146413369225669011598769579995867980059770615510275472227111001385870777315132063609740867229999681356183857082299790193645967961836447565638520718935969664946797388055129619818941936413073718453781887907160452296081408 binary64)) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (.f64 z z) (neg.f64 t)))))
(if (<=.f64 (.f64 x x) #s(literal 51999999999999997214925054365727438374974780306176690725032376992570607215988146413369225669011598769579995867980059770615510275472227111001385870777315132063609740867229999681356183857082299790193645967961836447565638520718935969664946797388055129619818941936413073718453781887907160452296081408 binary64)) #s(approx (+ (/ ( x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 t)) (/.f64 (.f64 z z) t))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (.f64 (/.f64 z (.f64 t t)) z))

soundness1.4s (14.8%)

Memory

2.8MiB live, 599.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	109
1	60	109
2	192	109
3	825	109
4	2854	109
5	3969	109
6	6263	109
7	7757	109
0	8061	104
0	36	179
0	58	154
1	224	138
2	3280	138
0	8545	138
0	11	41
0	18	41
1	69	33
2	813	33
0	8377	33
0	36	174
0	57	139
1	226	137
2	2897	137
0	8338	137
0	36	178
0	57	153
1	197	137
2	2046	137
0	8312	137

Stop Event

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

Compiler

Compiled 1 286 to 537 computations (58.2% saved)

preprocess251.0ms (2.7%)

Memory

1.3MiB live, 120.7MiB allocated

Remove

(abs x)

(abs y)

(abs z)

(abs t)

Compiler

Compiled 966 to 262 computations (72.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	219
0	57	197
1	84	197
2	104	197
3	138	197
4	194	197
5	231	197
6	231	197
0	231	197

Iter	Nodes	Cost
0	77	413
1	98	413
2	122	409
3	160	409
4	210	409
5	270	409
6	345	409
7	509	409
8	626	409
9	696	409
10	739	409
11	752	409
12	753	409

Iter	Nodes	Cost
0	36	219
0	57	197
1	84	197
2	104	197
3	138	197
4	194	197
5	231	197
6	231	197
0	231	197

Iter	Nodes	Cost
0	77	413
1	98	413
2	122	409
3	160	409
4	210	409
5	270	409
6	345	409
7	509	409
8	626	409
9	696	409
10	739	409
11	752	409
12	753	409

start0.0ms (0%)

analyze401.0ms (4.3%)

sample1.1s (12.2%)

explain224.0ms (2.4%)

preprocess273.0ms (2.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize50.0ms (0.5%)

series16.0ms (0.2%)

simplify129.0ms (1.4%)

rewrite281.0ms (3%)

eval42.0ms (0.5%)

prune18.0ms (0.2%)

simplify12.0ms (0.1%)

localize79.0ms (0.8%)

series106.0ms (1.1%)

simplify132.0ms (1.4%)

rewrite385.0ms (4.1%)

eval204.0ms (2.2%)

prune66.0ms (0.7%)

simplify252.0ms (2.7%)

localize181.0ms (1.9%)

series58.0ms (0.6%)

simplify122.0ms (1.3%)

rewrite528.0ms (5.7%)

eval199.0ms (2.1%)

prune33.0ms (0.3%)

simplify149.0ms (1.6%)

localize120.0ms (1.3%)

series24.0ms (0.3%)

simplify158.0ms (1.7%)

rewrite319.0ms (3.4%)

eval183.0ms (2%)

prune47.0ms (0.5%)

regimes285.0ms (3.1%)

regimes348.0ms (3.7%)

regimes288.0ms (3.1%)

regimes153.0ms (1.6%)

regimes23.0ms (0.3%)

regimes125.0ms (1.3%)

regimes42.0ms (0.4%)

regimes193.0ms (2.1%)

regimes60.0ms (0.6%)

regimes48.0ms (0.5%)

regimes59.0ms (0.6%)

regimes29.0ms (0.3%)

bsearch4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch38.0ms (0.4%)

simplify53.0ms (0.6%)

soundness1.4s (14.8%)

preprocess251.0ms (2.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	219
0	57	197
1	84	197
2	104	197
3	138	197
4	194	197
5	231	197
6	231	197
0	231	197

Iter	Nodes	Cost
0	77	413
1	98	413
2	122	409
3	160	409
4	210	409
5	270	409
6	345	409
7	509	409
8	626	409
9	696	409
10	739	409
11	752	409
12	753	409