Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, A

analyze247.0ms (1.3%)

Memory

-7.1MiB live, 147.1MiB 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
50%	49.9%	49.9%	0.2%	0%	0%	0%	4
50%	49.9%	49.9%	0.2%	0%	0%	0%	5
50%	49.9%	49.9%	0.2%	0%	0%	0%	6
50%	49.9%	49.9%	0.2%	0%	0%	0%	7
66.7%	49.9%	25%	0.2%	0%	25%	0%	8
66.7%	49.9%	25%	0.2%	0%	25%	0%	9
66.7%	49.9%	25%	0.2%	0%	25%	0%	10
66.7%	49.9%	25%	0.2%	0%	25%	0%	11
80%	49.9%	12.5%	0.2%	0%	37.4%	0%	12

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample1.5s (7.6%)

Memory

42.8MiB live, 2 809.6MiB allocated

Samples

813.0ms	8 256×	0	valid
217.0ms	2 098×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 715.0ms

ival-mult: 371.0ms (51.9% of total)

ival-exp: 84.0ms (11.7% of total)

ival-sub: 83.0ms (11.6% of total)

ival-div: 83.0ms (11.6% of total)

ival-sqrt: 73.0ms (10.2% of total)

exact: 10.0ms (1.4% of total)

ival-true: 8.0ms (1.1% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

preprocess182.0ms (0.9%)

Memory

-1.2MiB live, 122.7MiB allocated

Algorithm

1×	egg-herbie

Rules

1 466×	`times-frac`
1 444×	`unsub-neg`
1 344×	`lower-fma.f64`
1 344×	`lower-fma.f32`
934×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	232
1	192	226
2	495	224
3	1536	224
4	4035	224
5	6477	224
0	15	17
0	24	16
1	36	16
2	58	16
3	115	16
4	246	16
5	375	16
6	507	16
7	817	16
8	1505	16
9	1943	16
10	2083	16
11	2101	16
12	2101	16
13	2121	16
14	2129	16
15	2129	16
0	2129	16

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Outputs

(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (sqrt.f64 (exp.f64 (*.f64 t t)))))

Symmetry

(abs t)

explain179.0ms (0.9%)

Memory

-20.4MiB live, 297.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
0	-	-	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
0	-	-	`t`
0	-	-	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
0	-	-	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
0	-	-	`z`
0	-	-	`(*.f64 x #s(literal 1/2 binary64))`
0	-	-	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
0	-	-	`(*.f64 t t)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 z #s(literal 2 binary64))`
0	-	-	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`	*uo**	1	0
↳	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`	underflow	1
↳	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`	overflow	126
↳	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`	overflow	57
↳	`(*.f64 t t)`	overflow	57

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms

512×

valid

Compiler

Compiled 170 to 64 computations (62.4% saved)

Precisions

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

ival-mult: 14.0ms (45% of total)

ival-sqrt: 5.0ms (16.1% of total)

ival-exp: 4.0ms (12.8% of total)

ival-sub: 3.0ms (9.6% of total)

ival-div: 3.0ms (9.6% of total)

exact: 1.0ms (3.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify89.0ms (0.5%)

Memory

1.2MiB live, 76.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
✓	cost-diff	64	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))

Rules

1 344×	`lower-fma.f64`
1 344×	`lower-fma.f32`
922×	`lower-*.f32`
912×	`lower-*.f64`
418×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	62
0	24	60
1	36	60
2	58	60
3	115	60
4	246	60
5	375	60
6	507	60
7	817	60
8	1505	60
9	1943	60
10	2083	60
11	2101	60
12	2101	60
13	2121	60
14	2129	60
15	2129	60
0	2129	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(/.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t t)
t

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

localize54.0ms (0.3%)

Memory

4.6MiB live, 52.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 (*.f64 t t) #s(literal 2 binary64))
✓	accuracy	99.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Samples

39.0ms

256×

valid

Compiler

Compiled 64 to 17 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sqrt: 13.0ms (45.4% of total)

ival-mult: 10.0ms (34.9% of total)

ival-div: 2.0ms (7% of total)

ival-exp: 2.0ms (7% of total)

ival-sub: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.2%)

Memory

-9.1MiB live, 29.3MiB allocated

Counts

5 → 132

Calls

Call 1

Inputs
#<alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))>
#<alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))>
#<alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))>
#<alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)>
#<alt (/.f64 (*.f64 t t) #s(literal 2 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))>
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (exp (* 1/2 (pow t 2)))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))>
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>
#<alt (* 1/2 (pow t 2))>

Calls

33 calls:

Time	Variable		Point	Expression
19.0ms	t	@	-inf	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
3.0ms	z	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
2.0ms	x	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
1.0ms	x	@	-inf	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))
1.0ms	y	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2)))

rewrite666.0ms (3.4%)

Memory

15.9MiB live, 398.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 922×	`lower-fma.f64`
6 922×	`lower-fma.f32`
4 292×	`lower-/.f32`
4 290×	`lower-/.f64`
3 846×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
0	24	41
1	63	40
2	285	40
3	2343	40
0	8616	40

Stop Event

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

Counts

5 → 443

Calls

Call 1

Inputs
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 (*.f64 t t) #s(literal 2 binary64))

Outputs
(exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (.f64 t t)))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 t (neg.f64 t)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (E.f64)) (.f64 (*.f64 t t) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (exp.f64 (.f64 t #s(literal 1/2 binary64)))) t))
(fabs.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))
(sqrt.f64 (exp.f64 (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 t t) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t (neg.f64 t))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 (.f64 t t) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (.f64 #s(literal 1 binary64) (.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (.f64 t t) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 (.f64 t t) #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 t t)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 t) (+.f64 (/.f64 (.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t t))
(pow.f64 (exp.f64 (*.f64 t (neg.f64 t))) #s(literal -1/2 binary64))
(pow.f64 (E.f64) (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64))) t)
(pow.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64))) (neg.f64 (neg.f64 t)))
(pow.f64 (exp.f64 (.f64 (.f64 t t) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (.f64 t (/.f64 (.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 t) #s(literal 1 binary64)) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 t t))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 t (neg.f64 t)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 t)) (neg.f64 t))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t))) t)
(pow.f64 (pow.f64 (E.f64) t) (*.f64 t #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (*.f64 t t))
(pow.f64 (pow.f64 (E.f64) (*.f64 t (neg.f64 t))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) (.f64 (.f64 t t) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal -1 binary64)) (.f64 (.f64 t t) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) (neg.f64 t)) (/.f64 t #s(literal -2 binary64)))
(pow.f64 (pow.f64 (E.f64) (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (*.f64 t (neg.f64 t)))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) (.f64 #s(literal 1 binary64) t)) (.f64 t #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (E.f64) (.f64 #s(literal 1 binary64) (.f64 t (neg.f64 t)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64))) (sqrt.f64 t)) (sqrt.f64 t))
(pow.f64 (.f64 (exp.f64 (.f64 t t)) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (exp.f64 t) (exp.f64 t)) (/.f64 (.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (.f64 t t) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (neg.f64 t)) (/.f64 t #s(literal -2 binary64)))
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 t (neg.f64 t)))
(pow.f64 (exp.f64 (pow.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (.f64 #s(literal 1 binary64) t)) (.f64 t #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (.f64 #s(literal 1 binary64) (.f64 t (neg.f64 t)))) #s(literal -1/2 binary64))
(.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/4 binary64))) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/4 binary64))))
(.f64 (exp.f64 (.f64 t (/.f64 (.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (exp.f64 (.f64 t (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (sqrt.f64 (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))))
(+.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y)))
(+.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (exp.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))))
(+.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))))
(fma.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (neg.f64 y))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
(fma.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 y)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) (.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 y (.f64 y y) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 1/4 binary64)))) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))))))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (.f64 (exp.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 1/4 binary64)))) (*.f64 y y))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 (neg.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))))
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(/.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/.f64 (*.f64 t (neg.f64 t)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 t #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 t t)))
(/.f64 (neg.f64 t) (neg.f64 (/.f64 #s(literal 2 binary64) t)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t))))
(/.f64 (neg.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 2 binary64) t))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 t (neg.f64 t))) #s(literal -2 binary64))
(/.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) t))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) t)) (neg.f64 (/.f64 #s(literal 2 binary64) t)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 t (neg.f64 t)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) t)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 t t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 t t) #s(literal -1/2 binary64)) (.f64 (.f64 t t) #s(literal -1/2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (*.f64 t t) #s(literal -1/2 binary64))))))
(pow.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 #s(literal 2 binary64) (*.f64 t t))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(.f64 t (.f64 t #s(literal 1/2 binary64)))
(.f64 (.f64 t t) #s(literal 1/2 binary64))
(.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(.f64 (.f64 t (neg.f64 t)) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 t t) #s(literal 1/2 binary64)))
(.f64 (.f64 t #s(literal 1/2 binary64)) t)
(.f64 (.f64 t #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 t) (/.f64 t #s(literal -2 binary64)))
(.f64 (neg.f64 t) (.f64 t #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 t (neg.f64 t)))
(.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 t t)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) t) (*.f64 t #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t))) #s(literal -1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 t t)) #s(literal -1 binary64)) #s(literal -1/2 binary64))

simplify1.4s (7%)

Memory

-12.3MiB live, 616.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18 902×	`lower-fma.f64`
18 902×	`lower-fma.f32`
6 248×	`lower-*.f64`
6 248×	`lower-*.f32`
4 670×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	2071
1	446	1592
2	1556	1499
3	4446	1496
0	8851	1484

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (pow t 2)))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(exp (* 1/2 (pow t 2)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z)))))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))
(* -1 (* (* y (sqrt 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))
(* 1/2 (pow t 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow t 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))
(fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(exp (* 1/2 (pow t 2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t)))
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z)))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
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(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))
(* 1/2 (pow t 2))
(.f64 #s(literal 1/2 binary64) (.f64 t t))

eval73.0ms (0.4%)

Memory: 9.8MiB live, 163.7MiB allocated
Compiler: Compiled 20 725 to 1 749 computations (91.6% saved)

prune135.0ms (0.7%)

Memory

-17.2MiB live, 189.9MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	561	14	575
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	562	14	576

Accuracy

100.0%

Counts

576 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.8%	(fma.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (.f64 (.f64 t t) (.f64 t t)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
	74.5%	(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 x #s(literal 1/2 binary64) y))
	99.8%	(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
	99.5%	(.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))
▶	83.0%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
▶	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	92.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	90.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	83.2%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
▶	56.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
▶	99.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
	62.4%	(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))
▶	90.9%	(.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
	56.5%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))

Compiler

Compiled 692 to 460 computations (33.5% saved)

simplify527.0ms (2.7%)

Memory

-0.6MiB live, 871.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
✓	cost-diff	0	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
✓	cost-diff	0	(sqrt.f64 z)
✓	cost-diff	0	(.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
✓	cost-diff	128	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	1344	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
✓	cost-diff	0	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
✓	cost-diff	0	(*.f64 t t)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	320	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	0	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))

Rules

16 356×	`lower-fma.f32`
16 348×	`lower-fma.f64`
6 178×	`lower-*.f32`
6 142×	`lower-*.f64`
4 332×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	355
0	71	353
1	145	353
2	463	341
3	2192	341
4	3909	341
0	8595	337

Stop Event

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

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))
(.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))
#s(literal 2 binary64)
(.f64 z (exp.f64 (.f64 t t)))
z
(exp.f64 (*.f64 t t))
(*.f64 t t)
t
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 t t)
t
#s(literal 1 binary64)
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(sqrt.f64 z)
z
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
x
(neg.f64 y)
y
(.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(sqrt.f64 z)
z
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
#s(literal 1/2 binary64)
x
(neg.f64 y)
y
(.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(*.f64 t t)
t
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(*.f64 t #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 z)
z
(sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))
(.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))
#s(literal 2 binary64)
(exp.f64 (*.f64 t t))
(*.f64 t t)
t

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))
(sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z)))
(.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))
(.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z))
#s(literal 2 binary64)
(.f64 z (exp.f64 (.f64 t t)))
z
(exp.f64 (*.f64 t t))
(*.f64 t t)
t
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 t t)
t
#s(literal 1 binary64)
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 z)
z
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
x
(neg.f64 y)
y
(.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(sqrt.f64 z)
z
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
#s(literal 1/2 binary64)
x
(neg.f64 y)
y
(.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal -1/2 binary64) y) (fma.f64 (*.f64 t t) #s(literal -1/8 binary64) #s(literal -1/2 binary64)))))
(*.f64 t t)
t
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 x #s(literal -1/2 binary64) y) (fma.f64 (*.f64 t t) #s(literal -1/8 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(*.f64 t #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 z)
z
(sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t))))
(.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))
#s(literal 2 binary64)
(exp.f64 (*.f64 t t))
(*.f64 t t)
t

localize154.0ms (0.8%)

Memory

26.3MiB live, 427.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 z)
✓	accuracy	100.0%	(exp.f64 (*.f64 t t))
✓	accuracy	99.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
✓	accuracy	99.4%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
✓	accuracy	98.5%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	97.9%	(.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
✓	accuracy	90.7%	(.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.5%	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
✓	accuracy	98.8%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
✓	accuracy	100.0%	(*.f64 z #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))
✓	accuracy	100.0%	(exp.f64 (*.f64 t t))
✓	accuracy	100.0%	(.f64 z (exp.f64 (.f64 t t)))
✓	accuracy	99.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))

Samples

79.0ms

256×

valid

Compiler

Compiled 378 to 43 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 30.0ms (60.5% of total)

ival-sqrt: 8.0ms (16.1% of total)

ival-add: 4.0ms (8.1% of total)

ival-neg: 3.0ms (6.1% of total)

ival-exp: 2.0ms (4% of total)

ival-sub: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series154.0ms (0.8%)

Memory

0.7MiB live, 158.2MiB allocated

Counts

23 → 636

Calls

Call 1

Inputs
#<alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))>
#<alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))>
#<alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))>
#<alt (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))>
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))>
#<alt (*.f64 t t)>
#<alt (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))>
#<alt (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))>
#<alt (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))>
#<alt (.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))>
#<alt (sqrt.f64 z)>
#<alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))>
#<alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))>
#<alt (.f64 z (exp.f64 (.f64 t t)))>
#<alt (exp.f64 (*.f64 t t))>
#<alt (sqrt.f64 (*.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 z #s(literal 2 binary64))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))>
#<alt (neg.f64 y)>
#<alt (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))>

Outputs
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (- (* 1/2 x) y)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* x (+ 1/2 (* -1 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* -1 (* x (- (/ y x) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (+ (* -1 y) (* 1/2 x))>
#<alt (* -1 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* y (- (* 1/2 (/ x y)) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))>
#<alt (* (sqrt z) (sqrt 2))>
#<alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))>
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))>
#<alt (+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
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#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* -1 (* y (sqrt 2)))>
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))>
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))>
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))>
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))>
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))>
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))>
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))>
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))>
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))>
#<alt (* -1 (* y (sqrt 2)))>
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))>
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))>
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))>
#<alt (* -1 (* y (sqrt 2)))>
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))>
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))>
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))>
#<alt (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))>
#<alt (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))>
#<alt (* 1/8 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* 1/8 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))>
#<alt (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))>
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))>
#<alt (* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x))))>
#<alt (* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x))))>
#<alt (* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x))))>
#<alt (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))>
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))>
#<alt (* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y))))>
#<alt (* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y))))>
#<alt (* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y))))>
#<alt (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))>
#<alt (* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>
#<alt (* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))>

Calls

159 calls:

Time	Variable		Point	Expression
90.0ms	z	@	0	(* z 2)
7.0ms	z	@	0	(* (sqrt z) (+ (* (sqrt 2) (+ (* 1/2 x) (neg y))) (* (* t t) (* (* (sqrt 2) (+ (* 1/2 x) (neg y))) (+ (* t (* t 1/8)) 1/2)))))
3.0ms	t	@	0	(* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t))))))
3.0ms	y	@	-inf	(* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t))))))
2.0ms	x	@	inf	(* (+ (* 1/2 (* t t)) 1) (* (sqrt z) (* (sqrt 2) (+ (* 1/2 x) (neg y)))))

rewrite486.0ms (2.5%)

Memory

-17.5MiB live, 699.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 340×	`lower-fma.f32`
7 332×	`lower-fma.f64`
4 922×	`lower-*.f32`
4 886×	`lower-*.f64`
2 548×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	236
0	71	231
1	224	231
2	1512	215
0	8889	215

Stop Event

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

Counts

23 → 1 035

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(*.f64 t t)
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(sqrt.f64 z)
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))
(.f64 z (exp.f64 (.f64 t t)))
(exp.f64 (*.f64 t t))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))
(neg.f64 y)
(.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))

Outputs
(+.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) y) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z))) y))
(+.f64 (.f64 y (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))) (.f64 y (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))
(+.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 z) y)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 z) (.f64 x #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (*.f64 (sqrt.f64 z) y)))
(+.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (.f64 y (sqrt.f64 z))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z))))
(+.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (*.f64 y (sqrt.f64 z))))
(fma.f64 y (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))))
(fma.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) y (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (.f64 x #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) y))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 z) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 z) (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 z) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 z) y)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (.f64 y (sqrt.f64 z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (.f64 t t)))) (.f64 y (sqrt.f64 z))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (.f64 y (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))))
(/.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
(/.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)))) (fma.f64 x #s(literal -1/2 binary64) y))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 (exp.f64 (.f64 t t)) (.f64 #s(literal 2 binary64) z))))) (fma.f64 x #s(literal -1/2 binary64) y))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/8 binary64)) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/8 binary64)) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (.f64 (.f64 t t) #s(literal 1/8 binary64)) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/8 binary64)) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 t t) (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 t t) #s(literal 1/8 binary64)))) (.f64 (.f64 t t) (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 t t) #s(literal 1/8 binary64))))) (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (-.f64 (.f64 (.f64 t t) (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 t t) #s(literal 1/8 binary64)))) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 t t) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 t t) #s(literal 1/8 binary64))))) (-.f64 (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 t t) #s(literal 1/8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 t t) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 t t) #s(literal 1/8 binary64)))) (.f64 (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 t t) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 t t) #s(literal 1/8 binary64))) (.f64 t t)) (.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 t t) #s(literal 1/8 binary64))) (.f64 t t))) (.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 t t)) (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 t t)))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 t t) #s(literal 1/8 binary64))) (.f64 t t)) (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (.f64 t t))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/8 binary64)) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (.f64 (.f64 t t) #s(literal 1/8 binary64)) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (.f64 (.f64 t t) #s(literal 1/8 binary64)) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/8 binary64)) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (.f64 (.f64 t t) #s(literal 1/8 binary64)) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))))) (-.f64 (.f64 (.f64 (.f64 t t) #s(literal 1/8 binary64)) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))))))
(.f64 t (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 t t) (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (*.f64 t t)))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)))
(.f64 (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 t t) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (*.f64 t t))
(.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) t)
(.f64 (.f64 (.f64 t t) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (.f64 (*.f64 t t) #s(literal -1/16 binary64)))))
(.f64 (.f64 (.f64 (.f64 t t) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/64 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))

simplify505.0ms (2.6%)

Memory

20.9MiB live, 763.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 490×	`lower-fma.f64`
13 490×	`lower-fma.f32`
8 698×	`lower-*.f64`
8 698×	`lower-*.f32`
2 290×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	435	12466
1	1584	11023
2	5960	10839
0	8365	10359

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 635

Calls

Call 1

Inputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(* -1 y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(- (* 1/2 x) y)
(* 1/2 x)
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* x (+ 1/2 (* -1 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* -1 (* x (- (/ y x) 1/2)))
(* 1/2 x)
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(+ (* -1 y) (* 1/2 x))
(* -1 y)
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* y (- (* 1/2 (/ x y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))
(* (sqrt z) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
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(* -1 (* y (sqrt z)))
(* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))
(* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))
(* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))
(* (sqrt z) (- (* 1/2 x) y))
(* (sqrt z) (- (* 1/2 x) y))
(* (sqrt z) (- (* 1/2 x) y))
(* (sqrt z) (- (* 1/2 x) y))
(* (sqrt z) (- (* 1/2 x) y))
(* (sqrt z) (- (* 1/2 x) y))
(* (sqrt z) (- (* 1/2 x) y))
(* (sqrt z) (- (* 1/2 x) y))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
z
(+ z (* (pow t 2) z))
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z))))))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
(* z (exp (pow t 2)))
1
(+ 1 (pow t 2))
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(exp (pow t 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* (sqrt z) (sqrt 2))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* -1 (* y (sqrt 2)))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(* 1/2 (* x (sqrt 2)))
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))
(* 1/2 (* x (sqrt 2)))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))
(* 1/2 (* x (sqrt 2)))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))
(* -1 (* y (sqrt 2)))
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))
(* -1 (* y (sqrt 2)))
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))
(* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))
(* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))
(* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))
(* 1/8 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))))
(* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))
(* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))
(* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))
(* 1/8 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))))
(* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))
(* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))
(* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))
(* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))
(* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))
(* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x))))
(* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x))))
(* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x))))
(* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))
(* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y))))
(* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y))))
(* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y))))
(* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))
(* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))

Outputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 y (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(.f64 x (fma.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (neg.f64 (.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(.f64 x (fma.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (neg.f64 (.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(.f64 x (fma.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (neg.f64 (.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(.f64 x (fma.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (neg.f64 (.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(.f64 x (fma.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (neg.f64 (.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))
(.f64 x (fma.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (neg.f64 (.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 y (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(.f64 (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(.f64 (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))
(.f64 (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 y (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))
(.f64 (.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))
(.f64 (sqrt.f64 (.f64 z (exp.f64 (.f64 t t)))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y)) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))
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(.f64 y (fma.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 x y)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 t t)))))
(* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y))))
(.f64 y (fma.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 x y)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 t t)))))
(* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 t t)))
(* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(.f64 y (fma.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 x y)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 t t)))))
(* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(.f64 y (fma.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 x y)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 t t)))))
(* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))
(.f64 y (fma.f64 (.f64 (.f64 t t) #s(literal 1/2 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (/.f64 x y)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 t t)))))

eval377.0ms (1.9%)

Memory: 21.6MiB live, 600.3MiB allocated
Compiler: Compiled 68 489 to 3 985 computations (94.2% saved)

prune535.0ms (2.7%)

Memory

7.3MiB live, 581.3MiB allocated

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	2 118	35	2 153
Fresh	5	4	9
Picked	4	1	5
Done	0	0	0
Total	2 127	40	2 167

Accuracy

100.0%

Counts

2 167 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.8%	(fma.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (.f64 (.f64 t t) (.f64 t t)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
	28.6%	(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
	9.1%	(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
	28.1%	(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
▶	54.9%	(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
	58.8%	(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x))) (neg.f64 x))
	43.1%	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
▶	28.1%	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
▶	42.7%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
	83.0%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	47.7%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
	48.6%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))))
	83.0%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 y (sqrt.f64 #s(literal 2 binary64))))))
	41.6%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 y (.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))))))
	83.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
	56.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
	80.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))
	90.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
▶	93.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
	28.1%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
	43.0%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)))
	43.8%	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
▶	43.7%	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
	92.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	90.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	83.2%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
✓	56.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	56.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
	58.5%	(.f64 (.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	56.3%	(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	29.4%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	29.4%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
	30.1%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.0%	(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))
	60.5%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
	85.5%	(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
	43.8%	(.f64 (sqrt.f64 z) (.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/8 binary64)))))
	38.5%	(.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64)))))
	60.2%	(.f64 (neg.f64 y) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))
	62.4%	(.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))

Compiler

Compiled 1 672 to 1 173 computations (29.8% saved)

simplify394.0ms (2%)

Memory

-33.0MiB live, 502.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y))
✓	cost-diff	(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
✓	cost-diff	(neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
✓	cost-diff	(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
✓	cost-diff	(*.f64 t t)
✓	cost-diff	(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
✓	cost-diff	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
✓	cost-diff	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
✓	cost-diff	(*.f64 t t)
✓	cost-diff	(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
✓	cost-diff	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
✓	cost-diff	(*.f64 #s(literal 2 binary64) z)
✓	cost-diff	(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
✓	cost-diff	(fma.f64 x #s(literal 1/2 binary64) y)
✓	cost-diff	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
✓	cost-diff	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
✓	cost-diff	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))

Rules

11 364×	`lower-fma.f32`
11 350×	`lower-fma.f64`
4 852×	`lower-+.f64`
4 852×	`lower-+.f32`
3 942×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	362
0	74	362
1	144	362
2	378	362
3	1380	362
4	3747	362
5	6000	362
6	7614	362
0	8062	352

Stop Event

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

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(literal 2 binary64)
(.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
z
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(fma.f64 x #s(literal 1/2 binary64) y)
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 t t)
t
#s(literal 1 binary64)
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(fma.f64 x #s(literal 1/2 binary64) y)
x
y
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 t t)
t
#s(literal 1 binary64)
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) y)
x
y
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 z)
z
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y))
#s(literal 1/4 binary64)
(*.f64 x x)
x
(*.f64 y y)
y
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(fma.f64 x #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 z (fma.f64 (.f64 t t) (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) t)) z))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 z (fma.f64 (.f64 t t) (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) t)) z)))
(.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (fma.f64 t (.f64 z (fma.f64 (.f64 t t) (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) t)) z))
#s(literal 2 binary64)
(.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 t (.f64 z (fma.f64 (.f64 t t) (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) t)) z)
z
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 t (fma.f64 (.f64 t t) (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) t) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(fma.f64 x #s(literal 1/2 binary64) y)
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 t t)
t
#s(literal 1 binary64)
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(fma.f64 x #s(literal 1/2 binary64) y)
x
y
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 t t)
t
#s(literal 1 binary64)
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) y)
x
y
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 z)
z
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)) (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y)))
(fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y))
(fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y))
#s(literal 1/4 binary64)
(*.f64 x x)
x
(*.f64 y y)
y
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(fma.f64 x #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)

localize209.0ms (1.1%)

Memory

-2.0MiB live, 269.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
✓	accuracy	100.0%	(neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
✓	accuracy	93.6%	(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
✓	accuracy	65.9%	(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.4%	(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	98.5%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	97.5%	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) z)
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
✓	accuracy	99.6%	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
✓	accuracy	98.8%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
✓	accuracy	100.0%	(fma.f64 x #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) z)
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
✓	accuracy	99.6%	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
✓	accuracy	99.9%	(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.0%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
✓	accuracy	97.8%	(.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	91.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))

Samples

88.0ms

256×

valid

Compiler

Compiled 403 to 47 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 37.0ms (59.2% of total)

ival-add: 8.0ms (12.8% of total)

ival-sqrt: 6.0ms (9.6% of total)

const: 4.0ms (6.4% of total)

ival-neg: 3.0ms (4.8% of total)

ival-div: 2.0ms (3.2% of total)

ival-sub: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

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

series66.0ms (0.3%)

Memory

0.4MiB live, 129.2MiB allocated

Counts

21 → 540

Calls

Call 1

Inputs
#<alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))>
#<alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))>
#<alt (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))>
#<alt (fma.f64 x #s(literal 1/2 binary64) y)>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z))>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))>
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))>
#<alt (*.f64 t t)>
#<alt (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))>
#<alt (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))>
#<alt (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))>
#<alt (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y))>
#<alt (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>

Outputs
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))>
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))>
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))>
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))>
#<alt (* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))>
#<alt (* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))>
#<alt (* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))>
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))>
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))>
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))>
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))>
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))>
#<alt (+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z)))))))))>
#<alt (* (* (pow t 3) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z))>
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#<alt (* (pow y 2) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))>
#<alt (* (pow y 2) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))>
#<alt (* (* (pow y 2) (sqrt 2)) (sqrt z))>
#<alt (* (pow y 2) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))>
#<alt (* (pow y 2) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))>
#<alt (* (pow y 2) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))>
#<alt (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ (* 1/4 (pow x 2)) (pow y 2))))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ (* 1/4 (pow x 2)) (pow y 2))))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ (* 1/4 (pow x 2)) (pow y 2))))))>
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ (* 1/4 (pow x 2)) (pow y 2))))))>
#<alt (pow y 2)>
#<alt (+ (* 1/4 (pow x 2)) (pow y 2))>
#<alt (+ (* 1/4 (pow x 2)) (pow y 2))>
#<alt (+ (* 1/4 (pow x 2)) (pow y 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (/ (pow y 2) (pow x 2))))>
#<alt (* 1/4 (pow x 2))>
#<alt (+ (* 1/4 (pow x 2)) (pow y 2))>
#<alt (+ (* 1/4 (pow x 2)) (pow y 2))>
#<alt (+ (* 1/4 (pow x 2)) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt z>
#<alt (+ z (* (pow t 2) z))>
#<alt (+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))>
#<alt (+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z))))))>
#<alt (* 1/6 (* (pow t 6) z))>
#<alt (* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2)))))>
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4)))))>
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6))))))>
#<alt (* 1/6 (* (pow t 6) z))>
#<alt (* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2)))))>
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4)))))>
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (pow t 2)))>
#<alt (+ 1/2 (* 1/6 (pow t 2)))>
#<alt (+ 1/2 (* 1/6 (pow t 2)))>
#<alt (* 1/6 (pow t 2))>
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* 1/6 (pow t 2))>
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* y (sqrt 2))>
#<alt (+ (* 1/2 (* x (sqrt 2))) (* y (sqrt 2)))>
#<alt (+ (* 1/2 (* x (sqrt 2))) (* y (sqrt 2)))>
#<alt (+ (* 1/2 (* x (sqrt 2))) (* y (sqrt 2)))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* x (+ (* 1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))>
#<alt (* x (+ (* 1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))>
#<alt (* x (+ (* 1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* -1/2 (sqrt 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* -1/2 (sqrt 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* -1/2 (sqrt 2)))))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (+ (* 1/2 (* x (sqrt 2))) (* y (sqrt 2)))>
#<alt (+ (* 1/2 (* x (sqrt 2))) (* y (sqrt 2)))>
#<alt (+ (* 1/2 (* x (sqrt 2))) (* y (sqrt 2)))>
#<alt (* y (sqrt 2))>
#<alt (* y (+ (sqrt 2) (* 1/2 (/ (* x (sqrt 2)) y))))>
#<alt (* y (+ (sqrt 2) (* 1/2 (/ (* x (sqrt 2)) y))))>
#<alt (* y (+ (sqrt 2) (* 1/2 (/ (* x (sqrt 2)) y))))>
#<alt (* y (sqrt 2))>
#<alt (* -1 (* y (+ (* -1 (sqrt 2)) (* -1/2 (/ (* x (sqrt 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt 2)) (* -1/2 (/ (* x (sqrt 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt 2)) (* -1/2 (/ (* x (sqrt 2)) y)))))>

Calls

135 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(/ (neg (* (+ (* 1/4 (* x x)) (* y y)) (sqrt (* 2 z)))) (+ (* x -1/2) y))
4.0ms	t	@	inf	(* (+ (* 1/2 (* t t)) 1) (* (+ (* x 1/2) y) (sqrt (* 2 z))))
2.0ms	t	@	inf	(* (- (* x 1/2) y) (sqrt (* 2 (* z (+ (* (* t t) (+ (* t (* t (+ (* (* t t) 1/6) 1/2))) 1)) 1)))))
1.0ms	z	@	-inf	(/ (neg (* (+ (* 1/4 (* x x)) (* y y)) (sqrt (* 2 z)))) (+ (* x -1/2) y))
1.0ms	z	@	0	(* (- (* x 1/2) y) (sqrt (* 2 (* z (+ (* (* t t) (+ (* t (* t (+ (* (* t t) 1/6) 1/2))) 1)) 1)))))

rewrite408.0ms (2.1%)

Memory

17.8MiB live, 655.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 440×	`lower-fma.f32`
6 426×	`lower-fma.f64`
4 594×	`lower-/.f32`
4 592×	`lower-/.f64`
4 334×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	219
0	74	218
1	244	218
2	1816	218
0	8766	212

Stop Event

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

Counts

21 → 933

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(fma.f64 x #s(literal 1/2 binary64) y)
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(*.f64 t t)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y))
(.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))

Outputs
(+.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z))) (.f64 x #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z))) (neg.f64 y)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z)))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z)))))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z))) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z)))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z))) (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z))) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z))))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z)))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z)))) (fma.f64 x #s(literal 1/2 binary64) y))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y))))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) z))) (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))
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(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))

simplify431.0ms (2.2%)

Memory

12.7MiB live, 547.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 760×	`lower-fma.f64`
9 760×	`lower-fma.f32`
7 650×	`lower-*.f64`
7 650×	`lower-*.f32`
2 884×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	557	11569
1	1994	10049
2	6560	9880
0	8161	9130

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 536

Calls

Call 1

Inputs
(* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))
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(* (pow y 2) (- (* -1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))
(* -1 (* (* (pow y 2) (sqrt 2)) (sqrt z)))
(* (pow y 2) (- (* -1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))
(* (pow y 2) (- (* -1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))
(* (pow y 2) (- (* -1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))
(* -1 (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2)))))
(* -1 (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2)))))
(* -1 (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2)))))
(* -1 (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2)))))
(* -1 (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2)))))
(* -1 (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2)))))
(* -1 (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2)))))
(* -1 (* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2)))))
(* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ (* 1/4 (pow x 2)) (pow y 2)))))
(* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ (* 1/4 (pow x 2)) (pow y 2)))))
(* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ (* 1/4 (pow x 2)) (pow y 2)))))
(* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ (* 1/4 (pow x 2)) (pow y 2)))))
(* (* (pow y 2) (sqrt 2)) (sqrt z))
(+ (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) (* (* (pow y 2) (sqrt 2)) (sqrt z)))
(+ (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) (* (* (pow y 2) (sqrt 2)) (sqrt z)))
(+ (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) (* (* (pow y 2) (sqrt 2)) (sqrt z)))
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))
(* (pow x 2) (+ (* 1/4 (* (sqrt z) (sqrt 2))) (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))
(* (pow x 2) (+ (* 1/4 (* (sqrt z) (sqrt 2))) (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))
(* (pow x 2) (+ (* 1/4 (* (sqrt z) (sqrt 2))) (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))
(* (pow x 2) (+ (* 1/4 (* (sqrt z) (sqrt 2))) (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))
(* (pow x 2) (+ (* 1/4 (* (sqrt z) (sqrt 2))) (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))
(* (pow x 2) (+ (* 1/4 (* (sqrt z) (sqrt 2))) (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))
(* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))
(+ (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) (* (* (pow y 2) (sqrt 2)) (sqrt z)))
(+ (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) (* (* (pow y 2) (sqrt 2)) (sqrt z)))
(+ (* 1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) (* (* (pow y 2) (sqrt 2)) (sqrt z)))
(* (* (pow y 2) (sqrt 2)) (sqrt z))
(* (pow y 2) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))
(* (pow y 2) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))
(* (pow y 2) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))
(* (* (pow y 2) (sqrt 2)) (sqrt z))
(* (pow y 2) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))
(* (pow y 2) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))
(* (pow y 2) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (* (sqrt z) (sqrt 2))))
(* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))
(* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))
(* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))
(* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))
(* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))
(* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))
(* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))
(* (sqrt z) (* (sqrt 2) (+ (* 1/4 (pow x 2)) (pow y 2))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ (* 1/4 (pow x 2)) (pow y 2))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ (* 1/4 (pow x 2)) (pow y 2))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ (* 1/4 (pow x 2)) (pow y 2))))))
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ (* 1/4 (pow x 2)) (pow y 2))))))
(pow y 2)
(+ (* 1/4 (pow x 2)) (pow y 2))
(+ (* 1/4 (pow x 2)) (pow y 2))
(+ (* 1/4 (pow x 2)) (pow y 2))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1/4 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1/4 (/ (pow y 2) (pow x 2))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1/4 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1/4 (/ (pow y 2) (pow x 2))))
(* 1/4 (pow x 2))
(+ (* 1/4 (pow x 2)) (pow y 2))
(+ (* 1/4 (pow x 2)) (pow y 2))
(+ (* 1/4 (pow x 2)) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* 1/4 (/ (pow x 2) (pow y 2)))))
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
z
(+ z (* (pow t 2) z))
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z))))))
(* 1/6 (* (pow t 6) z))
(* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2)))))
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4)))))
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6))))))
(* 1/6 (* (pow t 6) z))
(* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2)))))
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4)))))
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6))))))
1/2
(+ 1/2 (* 1/6 (pow t 2)))
(+ 1/2 (* 1/6 (pow t 2)))
(+ 1/2 (* 1/6 (pow t 2)))
(* 1/6 (pow t 2))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(* 1/6 (pow t 2))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(* y (sqrt 2))
(+ (* 1/2 (* x (sqrt 2))) (* y (sqrt 2)))
(+ (* 1/2 (* x (sqrt 2))) (* y (sqrt 2)))
(+ (* 1/2 (* x (sqrt 2))) (* y (sqrt 2)))
(* 1/2 (* x (sqrt 2)))
(* x (+ (* 1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))
(* x (+ (* 1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))
(* x (+ (* 1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))
(* 1/2 (* x (sqrt 2)))
(* -1 (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* -1/2 (sqrt 2)))))
(* -1 (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* -1/2 (sqrt 2)))))
(* -1 (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* -1/2 (sqrt 2)))))
(* 1/2 (* x (sqrt 2)))
(+ (* 1/2 (* x (sqrt 2))) (* y (sqrt 2)))
(+ (* 1/2 (* x (sqrt 2))) (* y (sqrt 2)))
(+ (* 1/2 (* x (sqrt 2))) (* y (sqrt 2)))
(* y (sqrt 2))
(* y (+ (sqrt 2) (* 1/2 (/ (* x (sqrt 2)) y))))
(* y (+ (sqrt 2) (* 1/2 (/ (* x (sqrt 2)) y))))
(* y (+ (sqrt 2) (* 1/2 (/ (* x (sqrt 2)) y))))
(* y (sqrt 2))
(* -1 (* y (+ (* -1 (sqrt 2)) (* -1/2 (/ (* x (sqrt 2)) y)))))
(* -1 (* y (+ (* -1 (sqrt 2)) (* -1/2 (/ (* x (sqrt 2)) y)))))
(* -1 (* y (+ (* -1 (sqrt 2)) (* -1/2 (/ (* x (sqrt 2)) y)))))

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

eval552.0ms (2.8%)

Memory: -140.2MiB live, 471.7MiB allocated
Compiler: Compiled 66 817 to 4 298 computations (93.6% saved)

prune323.0ms (1.6%)

Memory

15.0MiB live, 577.2MiB allocated

Pruning

46 alts after pruning (44 fresh and 2 done)

	Pruned	Kept	Total
New	1 968	16	1 984
Fresh	6	28	34
Picked	4	1	5
Done	0	1	1
Total	1 978	46	2 024

Accuracy

100.0%

Counts

2 024 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.8%	(fma.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (.f64 (.f64 t t) (.f64 t t)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
	32.7%	(fma.f64 (neg.f64 y) (.f64 (sqrt.f64 z) (.f64 y (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -4 binary64)))) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x y))))
	9.1%	(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
	28.1%	(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
	42.7%	(/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
	32.5%	(/.f64 (neg.f64 (.f64 (.f64 y y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
	30.5%	(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
	58.8%	(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x))) (neg.f64 x))
	30.0%	(.f64 (fma.f64 y (/.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
▶	43.1%	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
✓	28.1%	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	83.0%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	47.7%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
	48.6%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))))
	47.8%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
	83.0%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 y (sqrt.f64 #s(literal 2 binary64))))))
	41.6%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 y (.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))))))
	37.6%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y y)) (/.f64 #s(literal 4 binary64) x) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))) (neg.f64 x))
	12.1%	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal -1/2 binary64))))))
	83.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
	56.5%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
	80.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))
	90.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
	43.8%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	28.1%	(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
▶	48.8%	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
▶	92.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	90.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	83.2%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
✓	56.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	56.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
	56.3%	(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	29.4%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
	30.0%	(.f64 (.f64 (neg.f64 y) (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	30.1%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.0%	(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))
	29.4%	(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
▶	55.6%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
	60.5%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
▶	29.4%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	85.5%	(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
	43.8%	(.f64 (sqrt.f64 z) (.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/8 binary64)))))
	38.5%	(.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64)))))
	60.2%	(.f64 (neg.f64 y) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))
	57.9%	(.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
	62.4%	(.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))

Compiler

Compiled 1 975 to 1 367 computations (30.8% saved)

simplify415.0ms (2.1%)

Memory

25.0MiB live, 605.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	cost-diff	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
✓	cost-diff	(*.f64 t t)
✓	cost-diff	(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
✓	cost-diff	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
✓	cost-diff	(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
✓	cost-diff	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
✓	cost-diff	(fma.f64 x #s(literal 1/2 binary64) y)
✓	cost-diff	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
✓	cost-diff	(*.f64 #s(literal 2 binary64) z)
✓	cost-diff	(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
✓	cost-diff	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓	cost-diff	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	cost-diff	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Rules

16 486×	`lower-fma.f32`
16 470×	`lower-fma.f64`
5 544×	`lower-+.f64`
5 544×	`lower-+.f32`
4 156×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	368
0	79	368
1	187	368
2	548	368
3	1985	368
4	2870	368
5	5122	368
0	8147	358

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(fma.f64 x #s(literal 1/2 binary64) y)
x
#s(literal 1/2 binary64)
y
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(*.f64 t t)
t
#s(literal 1 binary64)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 t t)
t
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 z)
z
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(literal 2 binary64)
(.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
z
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)

Outputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (.f64 (fma.f64 x #s(literal -1/2 binary64) y) (.f64 (fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
#s(literal 1/48 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
z
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(fma.f64 x #s(literal 1/2 binary64) y)
x
#s(literal 1/2 binary64)
y
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
z
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(*.f64 t t)
t
#s(literal 1 binary64)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 t t)
t
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 z)
z
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 z (fma.f64 (fma.f64 t (.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 t (*.f64 t t)) t)) z))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 t (.f64 z (fma.f64 (fma.f64 t (.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 t (*.f64 t t)) t)) z)))
(.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (fma.f64 t (.f64 z (fma.f64 (fma.f64 t (.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 t (*.f64 t t)) t)) z))
#s(literal 2 binary64)
(.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 t (.f64 z (fma.f64 (fma.f64 t (.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 t (.f64 t t)) t)) z)
z
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 t (fma.f64 (fma.f64 t (.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 t (*.f64 t t)) t) #s(literal 1 binary64))
(*.f64 t t)
t
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 t (fma.f64 t (.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize408.0ms (2.1%)

Memory

9.6MiB live, 270.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	97.8%	(.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	accuracy	96.5%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
✓	accuracy	91.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.3%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	97.5%	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
✓	accuracy	93.7%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) z)
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
✓	accuracy	98.4%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
✓	accuracy	98.3%	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) z)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
✓	accuracy	99.7%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
✓	accuracy	99.9%	(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
✓	accuracy	99.6%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
✓	accuracy	98.2%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Samples

227.0ms

256×

valid

Compiler

Compiled 406 to 50 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-mult: 96.0ms (51.2% of total)

ival-sqrt: 75.0ms (40% of total)

ival-add: 9.0ms (4.8% of total)

const: 7.0ms (3.7% of total)

ival-sub: 1.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

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

series242.0ms (1.2%)

Memory

-27.9MiB live, 106.1MiB allocated

Counts

24 → 516

Calls

Call 1

Inputs
#<alt (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))>
#<alt (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))>
#<alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z))>
#<alt (*.f64 #s(literal 2 binary64) z)>
#<alt (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))>
#<alt (fma.f64 x #s(literal 1/2 binary64) y)>
#<alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))>
#<alt (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))>
#<alt (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))>
#<alt (*.f64 t t)>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))>
#<alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))>
#<alt (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))>
#<alt (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))>
#<alt (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))>

Outputs
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))>
#<alt (* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))>
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))>
#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))>
#<alt (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))>
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))>
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))>
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#<alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* 1/2 (* x (sqrt 2)))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))>
#<alt z>
#<alt (+ z (* (pow t 2) z))>
#<alt (+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))>
#<alt (+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z))))))>
#<alt (* 1/6 (* (pow t 6) z))>
#<alt (* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2)))))>
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4)))))>
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6))))))>
#<alt (* 1/6 (* (pow t 6) z))>
#<alt (* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2)))))>
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4)))))>
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (pow t 2)))>
#<alt (+ 1/2 (* 1/6 (pow t 2)))>
#<alt (+ 1/2 (* 1/6 (pow t 2)))>
#<alt (* 1/6 (pow t 2))>
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* 1/6 (pow t 2))>
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))>

Calls

129 calls:

Time	Variable		Point	Expression
74.0ms	z	@	0	(* (* (+ (* 1/2 (* t t)) 1) (* (* 1/2 x) (sqrt 2))) (sqrt z))
53.0ms	x	@	-inf	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1))
16.0ms	x	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1))
1.0ms	z	@	0	(* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1))
1.0ms	x	@	0	(* (* 1/2 x) (sqrt (* 2 (* z (+ (* (* t t) (+ (* t (* t (+ (* (* t t) 1/6) 1/2))) 1)) 1)))))

rewrite731.0ms (3.7%)

Memory

15.4MiB live, 530.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 566×	`lower-fma.f32`
5 550×	`lower-fma.f64`
4 638×	`lower-*.f32`
4 604×	`lower-*.f64`
3 912×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	247
0	79	247
1	296	246
2	2134	246
0	8248	238

Stop Event

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

Counts

24 → 705

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 x #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(literal 1/2 binary64) x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 2 binary64) z)
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(fma.f64 x #s(literal 1/2 binary64) y)
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))
(*.f64 t t)
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))

Outputs
(+.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))) (/.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (-.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))))
(fma.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 t (.f64 (.f64 t (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (.f64 t t) (.f64 (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 t t) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) t) (.f64 t (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 t t)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (.f64 t t) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))
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(fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t #s(literal 1/6 binary64)) t #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) #s(literal 1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (.f64 t (.f64 t t)) (.f64 (.f64 t (.f64 t t)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 t t) #s(literal 1/12 binary64)))))
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(.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
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simplify500.0ms (2.5%)

Memory

-7.9MiB live, 738.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 286×	`lower-fma.f64`
11 286×	`lower-fma.f32`
9 138×	`lower-*.f64`
9 138×	`lower-*.f32`
2 524×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	457	9812
1	1632	8971
2	6232	8811
0	8089	8138

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 512

Calls

Call 1

Inputs
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z)))))
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
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(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))
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(* 1/4 (* (pow t 2) (* x (sqrt 2))))
(* (pow t 2) (+ (* 1/4 (* x (sqrt 2))) (* 1/2 (/ (* x (sqrt 2)) (pow t 2)))))
(* (pow t 2) (+ (* 1/4 (* x (sqrt 2))) (* 1/2 (/ (* x (sqrt 2)) (pow t 2)))))
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(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))
1
(+ 1 (* 1/2 (pow t 2)))
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(* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))
(* 1/2 (pow t 2))
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))
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(pow t 2)
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(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))
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(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))
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(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))
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(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))
(* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))
(* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))
(* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))
(* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))
(* 1/2 (* (* x (sqrt 2)) (sqrt z)))
(+ (* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* 1/4 (* (* (pow t 2) (* x (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/4 (* (* x (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))) (* 1/4 (* (* (pow t 2) (* x (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z))))))) (sqrt (/ 1 z)))))))))
(* 1/2 (* (* (pow t 3) (* x (* (sqrt 1/6) (sqrt 2)))) (sqrt z)))
(* (pow t 3) (+ (* 1/8 (* (/ (* x (sqrt 2)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 1/6) (sqrt 2))) (sqrt z)))))
(* (pow t 3) (+ (* 1/8 (* (/ (* x (sqrt 2)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/4 (* (/ (* x (* (sqrt 2) (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (* 1/2 (* (* x (* (sqrt 1/6) (sqrt 2))) (sqrt z))))))
(* (pow t 3) (+ (* 1/8 (* (/ (* x (sqrt 2)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/4 (* (/ (* x (* (sqrt 2) (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (+ (* 1/4 (* (/ (* x (* (sqrt 2) (- z (* 1/4 (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (pow (sqrt 1/6) 2)))))) (* (pow t 6) (sqrt 1/6))) (sqrt (/ 1 z)))) (* 1/2 (* (* x (* (sqrt 1/6) (sqrt 2))) (sqrt z)))))))
(* -1/2 (* (* (pow t 3) (* x (* (sqrt 1/6) (sqrt 2)))) (sqrt z)))
(* -1 (* (pow t 3) (+ (* 1/8 (* (/ (* x (sqrt 2)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 1/6) (sqrt 2))) (sqrt z))))))
(* -1 (* (pow t 3) (+ (* 1/8 (* (/ (* x (sqrt 2)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/4 (* (/ (* x (* (sqrt 2) (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (* 1/2 (* (* x (* (sqrt 1/6) (sqrt 2))) (sqrt z)))))))
(* -1 (* (pow t 3) (+ (* 1/8 (* (/ (* x (sqrt 2)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/4 (* (/ (* x (* (sqrt 2) (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (+ (* 1/4 (* (/ (* x (* (sqrt 2) (- z (* 1/4 (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (pow (sqrt 1/6) 2)))))) (* (pow t 6) (sqrt 1/6))) (sqrt (/ 1 z)))) (* 1/2 (* (* x (* (sqrt 1/6) (sqrt 2))) (sqrt z))))))))
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (sqrt -1))))
(* (sqrt z) (sqrt 2))
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))))))
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z)))))))))
(* (* (pow t 3) (* (sqrt 1/6) (sqrt 2))) (sqrt z))
(* (pow t 3) (+ (* 1/4 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* (sqrt z) (* (sqrt 1/6) (sqrt 2)))))
(* (pow t 3) (+ (* 1/4 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/16 (/ z (pow (sqrt 1/6) 2))))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (sqrt 2))))))
(* (pow t 3) (+ (* 1/4 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/16 (/ z (pow (sqrt 1/6) 2))))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/4 (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (pow (sqrt 1/6) 2))))) (* (pow t 6) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (sqrt 2)))))))
(* -1 (* (* (pow t 3) (* (sqrt 1/6) (sqrt 2))) (sqrt z)))
(* -1 (* (pow t 3) (+ (* 1/4 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* (sqrt z) (* (sqrt 1/6) (sqrt 2))))))
(* -1 (* (pow t 3) (+ (* 1/4 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/16 (/ z (pow (sqrt 1/6) 2))))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (sqrt 2)))))))
(* -1 (* (pow t 3) (+ (* 1/4 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/16 (/ z (pow (sqrt 1/6) 2))))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/4 (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (pow (sqrt 1/6) 2))))) (* (pow t 6) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (sqrt 2))))))))
(* 2 (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))
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(* 2 (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))
(* 2 (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))
(* 2 z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(* 1/3 (* (pow t 6) z))
(* (pow t 6) (+ (* 1/3 z) (/ z (pow t 2))))
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(* (pow t 6) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (+ (* 2 (/ z (pow t 6))) (/ z (pow t 2))))))
(* 1/3 (* (pow t 6) z))
(* (pow t 6) (+ (* 1/3 z) (/ z (pow t 2))))
(* (pow t 6) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (/ z (pow t 2)))))
(* (pow t 6) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (+ (* 2 (/ z (pow t 6))) (/ z (pow t 2))))))
1/8
(+ 1/8 (* 1/48 (pow t 2)))
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(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* 1/48 (pow t 2))
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1/2
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(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
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(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
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(* 1/2 (* x (sqrt 2)))
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(* 1/2 (* x (sqrt 2)))
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(* 1/2 (* x (sqrt 2)))
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(* 1/2 (* x (sqrt 2)))
(* 1/2 (* x (sqrt 2)))
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
z
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(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))
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(* 1/6 (* (pow t 6) z))
(* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2)))))
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4)))))
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6))))))
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(* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2)))))
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4)))))
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6))))))
1/2
(+ 1/2 (* 1/6 (pow t 2)))
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(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(* 1/6 (pow t 2))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))

Outputs
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (sqrt.f64 z) y)))
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(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)))
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))))
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(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))
(.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
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(.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 t t) z) z))
(* 2 (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))
(.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 t t) z) z))
(* 2 (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))
(.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 t t) z) z))
(* 2 (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))
(.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 t t) z) z))
(* 2 (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))
(.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 t t) z) z))
(* 2 (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))
(.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 t t) z) z))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(+ (* 2 z) (* 2 (* (pow t 2) z)))
(.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))
(fma.f64 #s(literal 2 binary64) z (.f64 (.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64)))))
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))
(fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 (.f64 t t) z) #s(literal 1/3 binary64) z)) (.f64 #s(literal 2 binary64) z)) (.f64 #s(literal 2 binary64) z))
(* 1/3 (* (pow t 6) z))
(.f64 #s(literal 1/3 binary64) (.f64 z (pow.f64 t #s(literal 6 binary64))))
(* (pow t 6) (+ (* 1/3 z) (/ z (pow t 2))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 z #s(literal 1/3 binary64) (/.f64 z (.f64 t t))))
(* (pow t 6) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (/ z (pow t 2)))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 z (.f64 (.f64 t t) (.f64 t t))) (fma.f64 z #s(literal 1/3 binary64) (/.f64 z (*.f64 t t)))))
(* (pow t 6) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (+ (* 2 (/ z (pow t 6))) (/ z (pow t 2))))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 z (.f64 (.f64 t t) (.f64 t t))) (/.f64 z (pow.f64 t #s(literal 6 binary64)))) (fma.f64 z #s(literal 1/3 binary64) (/.f64 z (*.f64 t t)))))
(* 1/3 (* (pow t 6) z))
(.f64 #s(literal 1/3 binary64) (.f64 z (pow.f64 t #s(literal 6 binary64))))
(* (pow t 6) (+ (* 1/3 z) (/ z (pow t 2))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 z #s(literal 1/3 binary64) (/.f64 z (.f64 t t))))
(* (pow t 6) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (/ z (pow t 2)))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 z (.f64 (.f64 t t) (.f64 t t))) (fma.f64 z #s(literal 1/3 binary64) (/.f64 z (*.f64 t t)))))
(* (pow t 6) (+ (* 1/3 z) (+ (* 2 (/ z (pow t 4))) (+ (* 2 (/ z (pow t 6))) (/ z (pow t 2))))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 z (.f64 (.f64 t t) (.f64 t t))) (/.f64 z (pow.f64 t #s(literal 6 binary64)))) (fma.f64 z #s(literal 1/3 binary64) (/.f64 z (*.f64 t t)))))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(+ 1/8 (* 1/48 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(* 1/48 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(* 1/48 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/48 binary64))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))
(fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(* 1/48 (pow t 4))
(.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/48 binary64)))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(.f64 (.f64 (.f64 t t) (.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(.f64 (.f64 (.f64 t t) (.f64 t t)) (+.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 t t))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 t t)))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(.f64 (.f64 (.f64 t t) (.f64 t t)) (+.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 t t))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 t t)))))
(* 1/48 (pow t 4))
(.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 1/48 binary64)))
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))
(.f64 (.f64 (.f64 t t) (.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(.f64 (.f64 (.f64 t t) (.f64 t t)) (+.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 t t))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 t t)))))
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))
(.f64 (.f64 (.f64 t t) (.f64 t t)) (+.f64 (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 t t))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 t t) (.f64 t t)))))
(* 1/2 (* x (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(* 1/2 (* x (sqrt 2)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 t t) z) z)
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 t t) z) z)
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 t t) z) z)
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 t t) z) z)
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 t t) z) z)
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 t t) z) z)
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 t t) z) z)
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 t t) z) z)
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 t t) z) z)
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 t t) z) z)
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 t t) z) z)
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))
(fma.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 t t) z) z)
z
(+ z (* (pow t 2) z))
(fma.f64 (*.f64 t t) z z)
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))
(fma.f64 (.f64 t t) (fma.f64 z (.f64 (*.f64 t t) #s(literal 1/2 binary64)) z) z)
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z))))))
(fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (.f64 z (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) z) z)
(* 1/6 (* (pow t 6) z))
(.f64 #s(literal 1/6 binary64) (.f64 z (pow.f64 t #s(literal 6 binary64))))
(* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2)))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 z (.f64 t t)) (*.f64 z #s(literal 1/6 binary64))))
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4)))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 z (.f64 t t)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 z (.f64 (.f64 t t) (*.f64 t t))))))
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6))))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 z (.f64 t t)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 z (.f64 (.f64 t t) (*.f64 t t))))) (/.f64 z (pow.f64 t #s(literal 6 binary64)))))
(* 1/6 (* (pow t 6) z))
(.f64 #s(literal 1/6 binary64) (.f64 z (pow.f64 t #s(literal 6 binary64))))
(* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2)))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 z (.f64 t t)) (*.f64 z #s(literal 1/6 binary64))))
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4)))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 z (.f64 t t)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 z (.f64 (.f64 t t) (*.f64 t t))))))
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6))))))
(.f64 (pow.f64 t #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 z (.f64 t t)) (fma.f64 z #s(literal 1/6 binary64) (/.f64 z (.f64 (.f64 t t) (*.f64 t t))))) (/.f64 z (pow.f64 t #s(literal 6 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/6 binary64))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* 1/6 (pow t 2))
(.f64 (.f64 t t) #s(literal 1/6 binary64))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))

eval256.0ms (1.3%)

Memory: 19.3MiB live, 556.0MiB allocated
Compiler: Compiled 48 314 to 3 369 computations (93% saved)

prune633.0ms (3.2%)

Memory

-21.8MiB live, 581.4MiB allocated

Pruning

59 alts after pruning (56 fresh and 3 done)

	Pruned	Kept	Total
New	1 443	29	1 472
Fresh	12	27	39
Picked	4	1	5
Done	0	2	2
Total	1 459	59	1 518

Accuracy

100.0%

Counts

1 518 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(fma.f64 (neg.f64 y) (.f64 (sqrt.f64 z) (.f64 y (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -4 binary64)))) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x y))))
	32.7%	(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
	28.1%	(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
	42.7%	(/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
	32.5%	(/.f64 (neg.f64 (.f64 (.f64 y y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
	30.5%	(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
	58.8%	(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x))) (neg.f64 x))
	30.0%	(.f64 (fma.f64 y (/.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
✓	28.1%	(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
	83.0%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
	48.6%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))))
	47.8%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
	83.0%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 y (sqrt.f64 #s(literal 2 binary64))))))
	41.6%	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 y (.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))))))
	56.5%	(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
	37.6%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y y)) (/.f64 #s(literal 4 binary64) x) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))) (neg.f64 x))
	12.1%	(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal -1/2 binary64))))))
	83.8%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
	80.9%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))
	90.7%	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
	93.4%	(.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	55.2%	(.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
	92.2%	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	92.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	70.4%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (/.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64) #s(literal -1/64 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	90.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	92.3%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 (.f64 t #s(literal 1/48 binary64)) (.f64 t t)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
	59.0%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (/.f64 (fma.f64 (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 t t) (.f64 t t))) #s(literal -1/4 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
	83.2%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
	90.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	56.7%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	56.5%	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
	70.0%	(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
	48.8%	(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 z))
	56.3%	(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	48.9%	(.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
	29.4%	(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
	26.3%	(.f64 (.f64 (.f64 t t) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) (sqrt.f64 z))
	54.5%	(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	57.1%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (sqrt.f64 z) y)))
	29.4%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z))
	57.1%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 (sqrt.f64 z) y))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	30.0%	(.f64 (.f64 (neg.f64 y) (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	57.1%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
	30.1%	(.f64 (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
	30.0%	(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))
	48.6%	(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
	29.4%	(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
	52.3%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) z (.f64 (.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64)))))))
	47.4%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z))))
	55.6%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
	54.9%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
	60.5%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
✓	29.4%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
	27.6%	(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))))))
	85.5%	(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
	60.2%	(.f64 (neg.f64 y) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))
	57.9%	(.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
	62.4%	(.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))

Compiler

Compiled 3 192 to 1 299 computations (59.3% saved)

regimes395.0ms (2%)

Memory

27.3MiB live, 606.6MiB allocated

Counts

95 → 1

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z))
(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(.f64 (fma.f64 y (/.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (neg.f64 y) (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 t t) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) (sqrt.f64 z))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) z (.f64 (.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64)))))))
(.f64 (.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/8 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 y) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 y (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 (sqrt.f64 z) y))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (sqrt.f64 z) y)))
(.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 (.f64 t #s(literal 1/48 binary64)) (.f64 t t)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x))) (neg.f64 x))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 y (.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))))))
(.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 y) (.f64 (sqrt.f64 z) (.f64 y (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -4 binary64)))) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x y))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (/.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64) #s(literal -1/64 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal -1/2 binary64))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y y)) (/.f64 #s(literal 4 binary64) x) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))) (neg.f64 x))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (/.f64 (fma.f64 (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 t t) (.f64 t t))) #s(literal -1/4 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (.f64 (.f64 t t) (.f64 t t)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
(.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(.f64 (.f64 (.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) x) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (exp.f64 (/.f64 (.f64 t t) #s(literal 2 binary64))))

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))

Calls

13 calls:

41.0ms	x
40.0ms	t
37.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
29.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
29.0ms	z

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`t`
99.8%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
99.8%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
99.8%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
99.8%	1	`(*.f64 x #s(literal 1/2 binary64))`
99.8%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
99.8%	1	`(*.f64 z #s(literal 2 binary64))`
99.8%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
99.8%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
99.8%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes450.0ms (2.3%)

Memory

49.6MiB live, 732.4MiB allocated

Counts

88 → 3

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z))
(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(.f64 (fma.f64 y (/.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (neg.f64 y) (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 t t) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) (sqrt.f64 z))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) z (.f64 (.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64)))))))
(.f64 (.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/8 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 y) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 y (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 (sqrt.f64 z) y))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (sqrt.f64 z) y)))
(.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 (.f64 t #s(literal 1/48 binary64)) (.f64 t t)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x))) (neg.f64 x))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 y (.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))))))
(.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 y) (.f64 (sqrt.f64 z) (.f64 y (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -4 binary64)))) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x y))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (/.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64) #s(literal -1/64 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal -1/2 binary64))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y y)) (/.f64 #s(literal 4 binary64) x) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))) (neg.f64 x))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (/.f64 (fma.f64 (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 t t) (.f64 t t))) #s(literal -1/4 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (.f64 (.f64 t t) (.f64 t t)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))
(.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))

Outputs

(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))

(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Calls

13 calls:

77.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
52.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
39.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
35.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
33.0ms	(*.f64 x #s(literal 1/2 binary64))

Results

Accuracy	Segments	Branch
93.4%	1	`x`
93.4%	1	`y`
93.4%	1	`z`
96.6%	3	`t`
93.4%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
93.4%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
93.4%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
93.4%	1	`(*.f64 x #s(literal 1/2 binary64))`
93.4%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
93.4%	1	`(*.f64 z #s(literal 2 binary64))`
93.4%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
96.6%	3	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
96.6%	3	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes307.0ms (1.6%)

Memory

-28.2MiB live, 522.6MiB allocated

Counts

86 → 1

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z))
(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(.f64 (fma.f64 y (/.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (neg.f64 y) (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 t t) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) (sqrt.f64 z))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) z (.f64 (.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64)))))))
(.f64 (.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/8 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 y) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 y (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (.f64 (sqrt.f64 z) y))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (sqrt.f64 z) y)))
(.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (sqrt.f64 (.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 t (.f64 (.f64 t #s(literal 1/48 binary64)) (.f64 t t)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 y y) (fma.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x))) (neg.f64 x))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (.f64 #s(literal 1/4 binary64) (.f64 x x))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (.f64 y (.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))))))
(.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (.f64 t t) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (neg.f64 y) (.f64 (sqrt.f64 z) (.f64 y (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -4 binary64)))) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x y))))
(.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y y)) (.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (/.f64 (fma.f64 (.f64 (.f64 t t) (.f64 t t)) #s(literal 1/2304 binary64) #s(literal -1/64 binary64)) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y y))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 1/4 binary64)) (.f64 y (-.f64 y (.f64 x #s(literal -1/2 binary64))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 y y)) (/.f64 #s(literal 4 binary64) x) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) x))) (neg.f64 x))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (/.f64 (fma.f64 (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (.f64 (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 t t) (.f64 t t))) #s(literal -1/4 binary64)) (fma.f64 (.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (.f64 (sqrt.f64 z) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (.f64 (.f64 t t) (.f64 t t)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))

Outputs

(*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Calls

10 calls:

57.0ms	(*.f64 t t)
52.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
29.0ms	z
26.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
25.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
93.4%	1	`z`
93.4%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
93.4%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
93.4%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
93.4%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
93.4%	1	`(*.f64 z #s(literal 2 binary64))`
93.4%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
93.4%	1	`t`
93.4%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
93.4%	1	`(*.f64 t t)`

Compiler

Compiled 95 to 74 computations (22.1% saved)

regimes333.0ms (1.7%)

Memory

-17.8MiB live, 464.3MiB allocated

Counts

65 → 1

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z))
(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(.f64 (fma.f64 y (/.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (neg.f64 y) (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 t t) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) (sqrt.f64 z))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) z (.f64 (.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64)))))))
(.f64 (.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/8 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 y) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) t #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Outputs

(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

Calls

13 calls:

64.0ms	t
44.0ms	(*.f64 x #s(literal 1/2 binary64))
31.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
23.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
20.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
92.3%	1	`x`
92.3%	1	`y`
92.3%	1	`(*.f64 x #s(literal 1/2 binary64))`
92.3%	1	`z`
92.3%	1	`t`
92.3%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
92.3%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
92.3%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
92.3%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
92.3%	1	`(*.f64 z #s(literal 2 binary64))`
92.3%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
92.3%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
92.3%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes2.0s (10.1%)

Memory

20.0MiB live, 500.1MiB allocated

Counts

63 → 1

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z))
(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(.f64 (fma.f64 y (/.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (neg.f64 y) (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 t t) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) (sqrt.f64 z))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) z (.f64 (.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64)))))))
(.f64 (.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 z) (.f64 (.f64 (.f64 t t) (.f64 t t)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/8 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 y) (.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))

Outputs

(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Calls

13 calls:

905.0ms	y
865.0ms	(*.f64 z #s(literal 2 binary64))
37.0ms	(*.f64 t t)
23.0ms	(*.f64 x #s(literal 1/2 binary64))
21.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
90.7%	1	`x`
90.7%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
90.7%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
90.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
90.7%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
90.7%	1	`z`
90.7%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
90.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
90.7%	1	`(*.f64 z #s(literal 2 binary64))`
90.7%	1	`y`
90.7%	1	`t`
90.7%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
90.7%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes412.0ms (2.1%)

Memory

-10.6MiB live, 340.9MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z))
(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(.f64 (fma.f64 y (/.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (neg.f64 y) (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 t t) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) (sqrt.f64 z))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) z (.f64 (.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64)))))))
(.f64 (.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))

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

Calls

13 calls:

184.0ms	(*.f64 t t)
33.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
30.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
18.0ms	z
18.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
85.5%	1	`y`
85.5%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
85.5%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
85.5%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
85.5%	1	`x`
85.5%	1	`z`
85.5%	1	`t`
85.5%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
85.5%	1	`(*.f64 x #s(literal 1/2 binary64))`
85.5%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
85.5%	1	`(*.f64 z #s(literal 2 binary64))`
85.5%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
85.5%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes209.0ms (1.1%)

Memory

34.8MiB live, 410.5MiB allocated

Counts

47 → 2

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z))
(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(.f64 (fma.f64 y (/.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (neg.f64 y) (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 t t) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) (sqrt.f64 z))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) z (.f64 (.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64)))))))
(.f64 (.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)))
(.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))

Outputs

(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))

(*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64)))))

Calls

13 calls:

25.0ms	(*.f64 x #s(literal 1/2 binary64))
22.0ms	x
16.0ms	(*.f64 z #s(literal 2 binary64))
16.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
16.0ms	y

Results

Accuracy	Segments	Branch
83.2%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
85.7%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
83.2%	1	`x`
83.2%	1	`y`
83.2%	1	`z`
85.7%	2	`t`
83.2%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
83.2%	1	`(*.f64 x #s(literal 1/2 binary64))`
83.2%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
83.2%	1	`(*.f64 z #s(literal 2 binary64))`
85.7%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
85.7%	2	`(*.f64 t t)`
83.2%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes77.0ms (0.4%)

Memory

-15.9MiB live, 104.5MiB allocated

Counts

45 → 3

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z))
(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(.f64 (fma.f64 y (/.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (neg.f64 y) (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 t t) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) (sqrt.f64 z))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) z (.f64 (.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64)))))))
(.f64 (.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (sqrt.f64 z)))

Outputs

(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))

(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))

(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))

Calls

4 calls:

30.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
21.0ms	t
13.0ms	(*.f64 t t)
12.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
83.2%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
86.7%	3	`t`
86.7%	3	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
86.7%	3	`(*.f64 t t)`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes88.0ms (0.4%)

Memory

6.1MiB live, 123.5MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 z))
(.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z))))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))))
(.f64 (fma.f64 x #s(literal 1/2 binary64) y) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))))
(.f64 (fma.f64 y (/.f64 (.f64 #s(literal 1/2 binary64) x) y) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))
(.f64 (.f64 (neg.f64 y) (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (sqrt.f64 (.f64 (.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))))))
(.f64 (.f64 (.f64 t t) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) (sqrt.f64 z))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 z))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (fma.f64 #s(literal 2 binary64) z (.f64 (.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64)))))))
(.f64 (.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal -1/2 binary64) y))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))

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

Calls

5 calls:

37.0ms	(/.f64 (*.f64 t t) #s(literal 2 binary64))
13.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
12.0ms	(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))
12.0ms	t
11.0ms	(*.f64 t t)

Results

Accuracy	Segments	Branch
83.2%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
83.2%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
83.2%	1	`t`
83.2%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
83.2%	1	`(*.f64 t t)`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes126.0ms (0.6%)

Memory

-55.0MiB live, 235.0MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))

Calls

13 calls:

17.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
11.0ms	x
10.0ms	(*.f64 z #s(literal 2 binary64))
10.0ms	t
9.0ms	y

Results

Accuracy	Segments	Branch
82.7%	2	`x`
80.9%	1	`y`
80.9%	1	`z`
80.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
82.7%	2	`(*.f64 x #s(literal 1/2 binary64))`
80.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
80.9%	1	`(*.f64 z #s(literal 2 binary64))`
80.9%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
80.9%	1	`t`
80.9%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
80.9%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
80.9%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
80.9%	1	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes94.0ms (0.5%)

Memory

4.6MiB live, 124.4MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))

Calls

11 calls:

22.0ms	z
16.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
8.0ms	(*.f64 t t)
6.0ms	(*.f64 x #s(literal 1/2 binary64))
6.0ms	t

Results

Accuracy	Segments	Branch
80.9%	1	`z`
80.9%	1	`t`
80.9%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
80.9%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
80.9%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
80.9%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
80.9%	1	`(*.f64 z #s(literal 2 binary64))`
80.9%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
80.9%	1	`(*.f64 t t)`
80.9%	1	`x`
80.9%	1	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 97 to 76 computations (21.6% saved)

regimes152.0ms (0.8%)

Memory

-2.2MiB live, 118.1MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) z z))))

Calls

13 calls:

66.0ms	z
23.0ms	x
11.0ms	(sqrt.f64 (*.f64 z #s(literal 2 binary64)))
5.0ms	(*.f64 z #s(literal 2 binary64))
5.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
64.8%	3	`x`
63.2%	3	`y`
64.8%	3	`(*.f64 x #s(literal 1/2 binary64))`
72.6%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
56.7%	1	`z`
73.5%	2	`t`
68.4%	3	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
56.7%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
60.0%	3	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
56.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
56.7%	1	`(*.f64 z #s(literal 2 binary64))`
73.5%	2	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
73.5%	2	`(*.f64 t t)`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes68.0ms (0.3%)

Memory

35.2MiB live, 72.3MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

12 calls:

24.0ms	(*.f64 x #s(literal 1/2 binary64))
4.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)
4.0ms	z
4.0ms	(*.f64 z #s(literal 2 binary64))
4.0ms	x

Results

Accuracy	Segments	Branch
56.7%	1	`z`
56.7%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
56.7%	1	`(*.f64 z #s(literal 2 binary64))`
56.7%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
56.7%	1	`y`
56.7%	1	`x`
56.7%	1	`(*.f64 x #s(literal 1/2 binary64))`
56.7%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
56.7%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
56.7%	1	`t`
56.7%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
56.7%	1	`(*.f64 t t)`

Compiler

Compiled 98 to 77 computations (21.4% saved)

regimes94.0ms (0.5%)

Memory

-17.9MiB live, 96.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))

(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))

(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))

Calls

13 calls:

56.0ms	(*.f64 z #s(literal 2 binary64))
9.0ms	x
5.0ms	t
3.0ms	(*.f64 x #s(literal 1/2 binary64))
2.0ms	(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)

Results

Accuracy	Segments	Branch
35.0%	3	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
32.0%	2	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
48.3%	3	`x`
42.1%	3	`y`
32.6%	2	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
48.3%	3	`(*.f64 x #s(literal 1/2 binary64))`
36.3%	4	`t`
32.8%	2	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
33.9%	3	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
33.9%	3	`(*.f64 t t)`
37.4%	4	`z`
37.4%	4	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
37.4%	4	`(*.f64 z #s(literal 2 binary64))`

Compiler

Compiled 112 to 88 computations (21.4% saved)

regimes25.0ms (0.1%)

Memory

-10.7MiB live, 67.0MiB allocated

Accuracy

Total -0.8b remaining (-1.8%)

Threshold costs -0.8b (-1.8%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))

Calls

13 calls:

4.0ms	z
2.0ms	(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))
2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	t
2.0ms	(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
29.4%	1	`(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))`
29.4%	1	`(/.f64 (*.f64 t t) #s(literal 2 binary64))`
29.4%	1	`(*.f64 t t)`
29.4%	1	`(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))`
29.4%	1	`(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))`
29.4%	1	`t`
29.4%	1	`(-.f64 (*.f64 x #s(literal 1/2 binary64)) y)`
29.4%	1	`z`
29.4%	1	`(sqrt.f64 (*.f64 z #s(literal 2 binary64)))`
29.4%	1	`(*.f64 z #s(literal 2 binary64))`
29.4%	1	`y`
29.4%	1	`x`
29.4%	1	`(*.f64 x #s(literal 1/2 binary64))`

Compiler

Compiled 112 to 88 computations (21.4% saved)

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.431374561688751e+98	3.2775841053937167e+98
0.0ms	7.772909129893217	10398.723131373094

Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.187351064178678e+36	2.2467600362394946e+38

Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.150149291784774e+282	1.6020018586529807e+289
0.0ms	1.7071554065086393e+131	6.186560952002967e+133

Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.057993601379417e+153	-1.4800806784809269e+150

Compiler

Compiled 24 to 22 computations (8.3% saved)

bsearch18.0ms (0.1%)

Memory

4.4MiB live, 43.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.7071554065086393e+131	6.186560952002967e+133

Samples

11.0ms

128×

valid

Compiler

Compiled 288 to 230 computations (20.1% saved)

Precisions

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

ival-mult: 4.0ms (54.9% of total)

ival-sub: 1.0ms (13.7% of total)

ival-div: 1.0ms (13.7% of total)

ival-exp: 1.0ms (13.7% of total)

ival-sqrt: 1.0ms (13.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.891157657184547e+21	1.198934588399894e+27
0.0ms	-2.6496777900081646e+56	-4.25546816988094e+47

Compiler

Compiled 24 to 22 computations (8.3% saved)

simplify22.0ms (0.1%)

Memory

-13.8MiB live, 33.9MiB allocated

Algorithm

1×	egg-herbie

Rules

88×	`*-commutative_binary64`
34×	`neg-mul-1_binary64`
22×	`unsub-neg_binary64`
16×	`sub-neg_binary64`
16×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	441
1	158	441
2	177	441
3	197	441
4	205	441
5	210	441
6	229	441
7	257	441

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(if (<=.f64 (.f64 t t) #s(literal 10 binary64)) (.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (if (<=.f64 (.f64 t t) #s(literal 300000000000000014484211794056620768648133791035952974905474021993132769424173480518925525601746944 binary64)) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 t t) #s(literal 2000000000000000084841274748035923968 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 t t) #s(literal 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (if (<=.f64 (.f64 t t) #s(literal 9999999999999999553953517735361344274271821018911312812290573026184540102343798495987494338396687059809772796632907678097570555865109868753376103147668407754403581309634554796258176084383892202112976392797308495024959839786965342632596166187964530344229899589832462449290116390191104 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))
(if (<=.f64 (.f64 t t) #s(literal 2600000000000000007678480203254902435408415090069351815222431205318297128689193777519289045562776572092378862165090467730274994094080 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) z z)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -200000000000000018380567016286756476168068919431369064448 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 10000000000000000000000 binary64)) (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))

Outputs
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (*.f64 t t))))))
(if (<=.f64 (.f64 t t) #s(literal 10 binary64)) (.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (if (<=.f64 (.f64 t t) #s(literal 300000000000000014484211794056620768648133791035952974905474021993132769424173480518925525601746944 binary64)) (.f64 (neg.f64 y) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t)))))) (.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (.f64 z #s(literal 2 binary64))))))
(if (<=.f64 (.f64 t t) #s(literal 10 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (if (<=.f64 (.f64 t t) #s(literal 300000000000000014484211794056620768648133791035952974905474021993132769424173480518925525601746944 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (exp.f64 (.f64 t t))))) (neg.f64 y)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))))
(.f64 (.f64 (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 (.f64 t t) (fma.f64 (.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 t (.f64 t (fma.f64 t (.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 z) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 (.f64 t t) #s(literal 2000000000000000084841274748035923968 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 t t) #s(literal 2000000000000000084841274748035923968 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (.f64 (sqrt.f64 z) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 x #s(literal 1/2 binary64)) y))))))
(if (<=.f64 (.f64 t t) #s(literal 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (if (<=.f64 (.f64 t t) #s(literal 9999999999999999553953517735361344274271821018911312812290573026184540102343798495987494338396687059809772796632907678097570555865109868753376103147668407754403581309634554796258176084383892202112976392797308495024959839786965342632596166187964530344229899589832462449290116390191104 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))))
(if (<=.f64 (.f64 t t) #s(literal 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (if (<=.f64 (.f64 t t) #s(literal 9999999999999999553953517735361344274271821018911312812290573026184540102343798495987494338396687059809772796632907678097570555865109868753376103147668407754403581309634554796258176084383892202112976392797308495024959839786965342632596166187964530344229899589832462449290116390191104 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 z (fma.f64 (.f64 t t) (fma.f64 t (.f64 #s(literal 1/2 binary64) t) #s(literal 1 binary64)) #s(literal 1 binary64)))))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z)))))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 t t) #s(literal 1 binary64)))) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z)))))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 z (.f64 t t) z))))
(if (<=.f64 (.f64 t t) #s(literal 2600000000000000007678480203254902435408415090069351815222431205318297128689193777519289045562776572092378862165090467730274994094080 binary64)) (.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) z z)))))
(if (<=.f64 (.f64 t t) #s(literal 2600000000000000007678480203254902435408415090069351815222431205318297128689193777519289045562776572092378862165090467730274994094080 binary64)) (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) z z)))))
(.f64 (.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -200000000000000018380567016286756476168068919431369064448 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 10000000000000000000000 binary64)) (.f64 (.f64 (neg.f64 y) (sqrt.f64 (.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))
(if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -200000000000000018380567016286756476168068919431369064448 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z))) (if (<=.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 10000000000000000000000 binary64)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) z)))))
(.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))
(.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))

soundness1.8s (9.3%)

Memory

14.1MiB live, 1 526.7MiB allocated

Rules

18 902×	`lower-fma.f64`
18 902×	`lower-fma.f32`
13 490×	`lower-fma.f64`
13 490×	`lower-fma.f32`
11 286×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	236
0	71	231
1	224	231
2	1512	215
0	8889	215
0	133	2071
1	446	1592
2	1556	1499
3	4446	1496
0	8851	1484
0	457	9812
1	1632	8971
2	6232	8811
0	8089	8138
0	435	12466
1	1584	11023
2	5960	10839
0	8365	10359
0	15	43
0	24	41
1	63	40
2	285	40
3	2343	40
0	8616	40
0	557	11569
1	1994	10049
2	6560	9880
0	8161	9130
0	41	247
0	79	247
1	296	246
2	2134	246
0	8248	238

Stop Event

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

Compiler

Compiled 1 251 to 657 computations (47.5% saved)

preprocess108.0ms (0.5%)

Memory: 0.8MiB live, 233.3MiB allocated
Remove: (abs t)
Compiler: Compiled 1 282 to 478 computations (62.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze247.0ms (1.3%)

sample1.5s (7.6%)

preprocess182.0ms (0.9%)

explain179.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify89.0ms (0.5%)

localize54.0ms (0.3%)

series37.0ms (0.2%)

rewrite666.0ms (3.4%)

simplify1.4s (7%)

eval73.0ms (0.4%)

prune135.0ms (0.7%)

simplify527.0ms (2.7%)

localize154.0ms (0.8%)

series154.0ms (0.8%)

rewrite486.0ms (2.5%)

simplify505.0ms (2.6%)

eval377.0ms (1.9%)

prune535.0ms (2.7%)

simplify394.0ms (2%)

localize209.0ms (1.1%)

series66.0ms (0.3%)

rewrite408.0ms (2.1%)

simplify431.0ms (2.2%)

eval552.0ms (2.8%)

prune323.0ms (1.6%)

simplify415.0ms (2.1%)

localize408.0ms (2.1%)

series242.0ms (1.2%)

rewrite731.0ms (3.7%)

simplify500.0ms (2.5%)

eval256.0ms (1.3%)

prune633.0ms (3.2%)

regimes395.0ms (2%)

regimes450.0ms (2.3%)

regimes307.0ms (1.6%)

regimes333.0ms (1.7%)

regimes2.0s (10.1%)

regimes412.0ms (2.1%)

regimes209.0ms (1.1%)

regimes77.0ms (0.4%)

regimes88.0ms (0.4%)

regimes126.0ms (0.6%)

regimes94.0ms (0.5%)

regimes152.0ms (0.8%)

regimes68.0ms (0.3%)

regimes94.0ms (0.5%)

regimes25.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch18.0ms (0.1%)

bsearch0.0ms (0%)

simplify22.0ms (0.1%)

soundness1.8s (9.3%)

preprocess108.0ms (0.5%)

end0.0ms (0%)

Profiling