Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze45.0ms (0.8%)

Memory

-11.0MiB live, 110.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
66.7%	49.9%	25%	0.1%	0%	25%	0%	7
66.7%	49.9%	25%	0.1%	0%	25%	0%	8
66.7%	49.9%	25%	0.1%	0%	25%	0%	9
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	10
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	11
80%	49.9%	12.5%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.7s (30.9%)

Memory

18.4MiB live, 912.5MiB allocated

Samples

895.0ms	8 256×	0	valid
200.0ms	2 130×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 499.0ms

ival-sqrt: 198.0ms (39.7% of total)

ival-mult: 139.0ms (27.9% of total)

ival-div: 92.0ms (18.5% of total)

ival-add: 48.0ms (9.6% of total)

exact: 10.0ms (2% of total)

ival-true: 8.0ms (1.6% of total)

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

Bogosity

explain118.0ms (2.1%)

Memory

-22.7MiB live, 150.2MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

50.0ms

512×

valid

Compiler

Compiled 104 to 44 computations (57.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (35.8% of total)

ival-sqrt: 4.0ms (23.9% of total)

ival-div: 3.0ms (17.9% of total)

ival-add: 2.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess54.0ms (1%)

Memory

6.2MiB live, 51.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	76
1	113	74
2	299	74
3	561	74
4	842	74
5	973	74
6	1016	74
7	1067	74
8	1097	74
9	1127	74
0	10	8
0	16	8
1	31	8
2	59	8
3	105	8
4	160	8
5	186	8
6	197	8
7	213	8
8	224	8
9	234	8
10	244	8
0	244	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))

Compiler

Compiled 10 to 10 computations (0% saved)

simplify18.0ms (0.3%)

Memory

-15.7MiB live, 23.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
0	16	26
1	31	26
2	59	26
3	105	26
4	160	26
5	186	26
6	197	26
7	213	26
8	224	26
9	234	26
10	244	26
0	244	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize24.0ms (0.4%)

Memory

16.1MiB live, 55.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.24609375	(*.f64 y (sqrt.f64 z))

Samples

18.0ms

256×

valid

Compiler

Compiled 62 to 22 computations (64.5% saved)

Precisions

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

ival-mult: 3.0ms (36.5% of total)

ival-div: 2.0ms (24.4% of total)

ival-sqrt: 2.0ms (24.4% of total)

ival-add: 1.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

5 → 23

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	z	@	inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	y	@	-inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	y	@	0	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms	y	@	inf	((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))

simplify152.0ms (2.7%)

Memory

2.5MiB live, 119.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	169
1	270	169
2	954	169
3	2978	161
4	6480	161
0	8086	148

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite235.0ms (4.2%)

Memory

-10.1MiB live, 264.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	16	21
1	46	21
2	259	21
3	2201	21
0	8582	19

Stop Event

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

Counts

5 → 387

Calls

Call 1

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

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

eval53.0ms (0.9%)

Memory: 6.4MiB live, 115.8MiB allocated
Compiler: Compiled 13 680 to 1 346 computations (90.2% saved)

prune16.0ms (0.3%)

Memory

-6.7MiB live, 41.1MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	386	11	397
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	387	11	398

Accuracy

100.0%

Counts

398 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
▶	51.1%	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
▶	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
	40.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 z y) (/.f64 y (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
	26.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (.f64 y y) (/.f64 z (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 x (/.f64 x (-.f64 (*.f64 (sqrt.f64 z) y) x)))))
	45.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
▶	59.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
▶	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	92.9%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 (fma.f64 (.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)))
	50.7%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y)))
▶	50.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 352 to 272 computations (22.7% saved)

simplify70.0ms (1.3%)

Memory

12.1MiB live, 51.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	160
0	52	157
1	93	157
2	155	157
3	330	157
4	783	157
5	1745	157
6	2438	157
7	2628	157
8	2663	157
9	2693	157
10	2693	157
11	2693	157
0	2693	157

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize108.0ms (1.9%)

Memory

2.6MiB live, 120.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy	0.24609375	(*.f64 (sqrt.f64 z) y)
accuracy	2.749985550307298	(fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x))
accuracy	30.97977906897661	(/.f64 (.f64 (fma.f64 (.f64 z y) y (.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (.f64 (sqrt.f64 z) y) x))
accuracy	0.0	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
accuracy	0.0	(*.f64 z y)
accuracy	0.11328125	(.f64 (.f64 z y) y)
accuracy	24.399091107426745	(sqrt.f64 (.f64 (.f64 z y) y))
accuracy	0.0	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.09765625	(fma.f64 (sqrt.f64 z) y x)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	31.80256900206862	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.24609375	(*.f64 y (sqrt.f64 z))

Samples

85.0ms

256×

valid

Compiler

Compiled 335 to 63 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 50.0ms (75.1% of total)

ival-sqrt: 6.0ms (9% of total)

ival-add: 5.0ms (7.5% of total)

ival-div: 3.0ms (4.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series63.0ms (1.1%)

Memory

6.6MiB live, 44.5MiB allocated

Counts

19 → 59

Calls

Call 1

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

Outputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* 1/2 (* (pow y 2) z))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(* (pow y 2) z)
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(+ (* -1 x) (* y (sqrt z)))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* -1 x)
(* x (- (* (/ y x) (sqrt z)) 1))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z))))))
(* y z)
(- (* y (sqrt z)) x)
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ (sqrt z) (* -1 (/ x y))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1/2 (* y (sqrt z)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (sqrt z)))))
(* -1 (* y (sqrt z)))
(* -1 (* y (+ (sqrt z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (/ x y))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	y	@	0	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* z y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x))
6.0ms	z	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* z y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x))
3.0ms	x	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* z y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x))
3.0ms	z	@	inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* z y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x))
2.0ms	y	@	-inf	((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ x (sqrt (* (* z y) y)))) (+ x (sqrt (* (* z y) y))) (sqrt (* (* z y) y)) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* z y) (* (* z y) y) (* (sqrt z) y) (- (* (sqrt z) y) x))

simplify124.0ms (2.2%)

Memory

-17.6MiB live, 214.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	836
1	702	755
2	2755	707
0	8038	680

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

Inputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* 1/2 x)
(* 1/2 (* (pow y 2) z))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(* (pow y 2) z)
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(+ (* -1 x) (* y (sqrt z)))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* -1 x)
(* x (- (* (/ y x) (sqrt z)) 1))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z))))))
(* y z)
(- (* y (sqrt z)) x)
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ (sqrt z) (* -1 (/ x y))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1/2 (* y (sqrt z)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (sqrt z)))))
(* -1 (* y (sqrt z)))
(* -1 (* y (+ (sqrt z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (/ x y))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))

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

rewrite281.0ms (5%)

Memory

-16.9MiB live, 328.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	128
0	52	106
1	155	106
2	885	106
0	9502	106

Stop Event

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

Counts

19 → 1 577

Calls

Call 1

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

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

eval116.0ms (2.1%)

Memory: -6.0MiB live, 191.5MiB allocated
Compiler: Compiled 26 099 to 2 624 computations (89.9% saved)

prune19.0ms (0.3%)

Memory

11.7MiB live, 51.3MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	774	9	783
Fresh	6	0	6
Picked	2	3	5
Done	0	0	0
Total	782	12	794

Accuracy

100.0%

Counts

794 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.4%	(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
	49.4%	(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
	51.5%	(/.f64 (.f64 (fma.f64 (sqrt.f64 z) y x) (.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) (-.f64 (.f64 (sqrt.f64 z) y) x))
▶	22.8%	(/.f64 (.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	45.5%	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
	59.6%	(.f64 #s(literal 1/2 binary64) (+.f64 x (sqrt.f64 (.f64 (*.f64 z y) y))))
▶	92.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)))
	88.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
▶	50.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
✓	50.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 311 to 238 computations (23.5% saved)

simplify38.0ms (0.7%)

Memory

3.0MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(sqrt.f64 z)
cost-diff	2	(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	4	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (.f64 y y) z)
cost-diff	0	#s(approx (+ (* (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z))
cost-diff	0	(.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
cost-diff	0	(*.f64 z y)
cost-diff	0	(sqrt.f64 (*.f64 z y))
cost-diff	0	(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	240
0	61	237
1	115	229
2	228	228
3	553	228
4	1149	228
5	1375	228
6	1404	228
7	1426	228
8	1445	228
9	1465	228
10	1475	228
0	1475	223

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize177.0ms (3.2%)

Memory

-4.3MiB live, 160.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.0546875	(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.234375	(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
accuracy	0.13671875	(*.f64 (sqrt.f64 z) y)
accuracy	3.8726295236001675	(.f64 (.f64 y y) z)
accuracy	14.21037930729685	(/.f64 (.f64 #s(approx (+ ( (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
accuracy	14.67012497855648	#s(approx (+ (* (* z y) y) (* (neg x) x)) (.f64 (.f64 y y) z))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y) x))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.05859375	(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
accuracy	6.8864016383297235	(sqrt.f64 (*.f64 z y))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
accuracy	0.0	(sqrt.f64 z)
accuracy	0.13671875	(*.f64 (sqrt.f64 z) y)
accuracy	15.926499637100653	#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)))
accuracy	0.0	#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x))
accuracy	0.07421875	(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy	2.639260393952969	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)

Samples

80.0ms	129×	0	invalid
74.0ms	127×	0	valid

Compiler

Compiled 438 to 73 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 45.0ms (39.7% of total)

ival-div: 35.0ms (30.9% of total)

ival-add: 24.0ms (21.2% of total)

ival-sqrt: 6.0ms (5.3% of total)

ival-sub: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series55.0ms (1%)

Memory

-5.2MiB live, 33.3MiB allocated

Counts

19 → 59

Calls

Call 1

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

Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* (pow y 2) z))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(* (pow y 2) z)
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(sqrt (* y z))
(* y z)
(* 1/2 y)
(sqrt y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (* (sqrt z) (pow (sqrt -1) 2))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt z) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* -1/2 (* y (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt (/ 1 z))
(sqrt z)
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))

Calls

9 calls:

Time	Variable		Point	Expression
39.0ms	y	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* (* y y) z) (* (sqrt y) (* (sqrt y) 1/2)) (+ (* (sqrt z) (* (sqrt y) (* (sqrt y) 1/2))) (* 1/2 x)) (sqrt y))
3.0ms	z	@	-inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* (* y y) z) (* (sqrt y) (* (sqrt y) 1/2)) (+ (* (sqrt z) (* (sqrt y) (* (sqrt y) 1/2))) (* 1/2 x)) (sqrt y))
2.0ms	z	@	0	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* (* y y) z) (* (sqrt y) (* (sqrt y) 1/2)) (+ (* (sqrt z) (* (sqrt y) (* (sqrt y) 1/2))) (* 1/2 x)) (sqrt y))
2.0ms	y	@	inf	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* (* y y) z) (* (sqrt y) (* (sqrt y) 1/2)) (+ (* (sqrt z) (* (sqrt y) (* (sqrt y) 1/2))) (* 1/2 x)) (sqrt y))
2.0ms	y	@	0	((* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (sqrt (/ 1 z)) (* z y)) x) (sqrt (/ 1 z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt z) (* 1/2 (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* z y) (/ (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (- (* (sqrt z) y) x)) (* (+ (* (* z y) y) (* (neg x) x)) 1/2) (+ (* (* z y) y) (* (neg x) x)) (* (* y y) z) (* (sqrt y) (* (sqrt y) 1/2)) (+ (* (sqrt z) (* (sqrt y) (* (sqrt y) 1/2))) (* 1/2 x)) (sqrt y))

simplify621.0ms (11.1%)

Memory

2.7MiB live, 240.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	804
1	696	719
2	2754	674
0	8964	648

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* (pow y 2) z))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(* (pow y 2) z)
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(sqrt (* y z))
(* y z)
(* 1/2 y)
(sqrt y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (* (sqrt z) (pow (sqrt -1) 2))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt z) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* -1/2 (* y (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt (/ 1 z))
(sqrt z)
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))

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

rewrite174.0ms (3.1%)

Memory

7.3MiB live, 233.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	188
0	61	183
1	204	170
2	1251	162
0	8854	152

Stop Event

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

Counts

19 → 721

Calls

Call 1

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

Outputs
(.f64 #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)))
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x))
(.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)))) (/.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (-.f64 x (*.f64 (sqrt.f64 z) y))))
(.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (/.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y)))) (.f64 (/.f64 (.f64 (.f64 z y) y) (-.f64 x (.f64 (sqrt.f64 z) y))) (/.f64 (.f64 (.f64 z y) y) (-.f64 x (.f64 (sqrt.f64 z) y))))) (+.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (/.f64 (.f64 (.f64 z y) y) (-.f64 x (*.f64 (sqrt.f64 z) y)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 z y) y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 (.f64 z y) y) (-.f64 (.f64 (sqrt.f64 z) y) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 z) y) x)))) (+.f64 (/.f64 (.f64 (.f64 z y) y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x)))) (.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x))))) (fma.f64 (sqrt.f64 z) y x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))))) (-.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 z y) y) (-.f64 x (.f64 (sqrt.f64 z) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (/.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (fma.f64 (/.f64 (.f64 (.f64 z y) y) (-.f64 x (.f64 (sqrt.f64 z) y))) (/.f64 (.f64 (.f64 z y) y) (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (/.f64 (.f64 (.f64 z y) y) (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 z y) y) (-.f64 (.f64 (sqrt.f64 z) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 z) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 z y) y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 (.f64 z y) y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 (/.f64 (.f64 (.f64 z y) y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (sqrt.f64 z) y) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))))) (.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (sqrt.f64 z) y))) (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (.f64 (.f64 z y) y))) (.f64 (-.f64 x (.f64 (sqrt.f64 z) y)) (-.f64 x (.f64 (sqrt.f64 z) y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 z y) y) (-.f64 (.f64 (sqrt.f64 z) y) x)) (.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x))) (.f64 (-.f64 (.f64 (sqrt.f64 z) y) x) (-.f64 (.f64 (sqrt.f64 z) y) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x)) (.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x)) (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x)) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y)))) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (.f64 (sqrt.f64 z) y))))))
(/.f64 (fma.f64 (.f64 y y) z (.f64 (neg.f64 x) x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (fma.f64 (.f64 (neg.f64 z) y) y (.f64 x x)) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 z) y) (-.f64 (.f64 (sqrt.f64 z) y) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y y) z (.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))
(neg.f64 (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(fma.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (.f64 z y) #s(literal 1/4 binary64))) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (.f64 z y) #s(literal 1/4 binary64))) x)
(fma.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (.f64 (pow.f64 (.f64 z y) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))) x)
(fma.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y))) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y))) x)
(fma.f64 (.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) (.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 y)) x)
(fma.f64 (.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 z #s(literal 1/4 binary64))) (.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 z #s(literal 1/4 binary64))) x)
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eval101.0ms (1.8%)

Memory: 9.6MiB live, 127.4MiB allocated
Compiler: Compiled 19 532 to 2 254 computations (88.5% saved)

prune16.0ms (0.3%)

Memory

-0.6MiB live, 37.4MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	670	4	674
Fresh	4	0	4
Picked	2	3	5
Done	0	3	3
Total	676	10	686

Accuracy

100.0%

Counts

686 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.4%	(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
▶	49.4%	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	92.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)))
▶	44.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (.f64 (.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))))
▶	21.1%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y))))
✓	50.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
▶	16.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 z y) y))))
✓	50.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 132 to 111 computations (15.9% saved)

simplify83.0ms (1.5%)

Memory

-0.9MiB live, 45.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) (sqrt.f64 y))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x))
cost-diff	4	(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x)
cost-diff	0	(/.f64 (.f64 (.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (/.f64 (.f64 (.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (.f64 (.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))))
cost-diff	2	(.f64 (.f64 z y) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (*.f64 z y))
cost-diff	0	(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y))
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y))))
cost-diff	0	(.f64 (.f64 z y) y)
cost-diff	0	(sqrt.f64 (.f64 (.f64 z y) y))
cost-diff	0	#s(approx (+ x (* y (sqrt z))) (sqrt.f64 (.f64 (.f64 z y) y)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 z y) y))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	181
0	42	173
1	76	167
2	146	167
3	345	167
4	845	167
5	1300	167
6	1862	167
7	2111	167
8	2184	167
9	2228	167
10	2234	167
11	2234	167
12	2236	167
13	2273	167
14	2329	167
0	2329	159

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (1.2%)

Memory

4.3MiB live, 118.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 z)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.05859375	(fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x)
accuracy	0.18816376953688402	(*.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (.f64 (.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))))
accuracy	0.0	(sqrt.f64 z)
accuracy	4.211944238666374	(/.f64 (.f64 (.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z))
accuracy	15.926499637100653	#s(approx (+ x (* y (sqrt z))) (/.f64 (.f64 (.f64 z y) #s(literal 1 binary64)) (sqrt.f64 z)))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.12109375	(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y))
accuracy	6.8864016383297235	(sqrt.f64 (*.f64 z y))
accuracy	15.926499637100653	#s(approx (+ x (* y (sqrt z))) (.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 y)))
accuracy	0.0	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 z y) y))))
accuracy	0.06640625	(.f64 (.f64 z y) y)
accuracy	11.504324635701733	(sqrt.f64 (.f64 (.f64 z y) y))
accuracy	15.926499637100653	#s(approx (+ x (* y (sqrt z))) (sqrt.f64 (.f64 (.f64 z y) y)))

Samples

26.0ms	127×	0	valid
22.0ms	129×	0	invalid

Compiler

Compiled 318 to 49 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 15.0ms (53.1% of total)

ival-sqrt: 6.0ms (21.2% of total)

ival-add: 5.0ms (17.7% of total)

ival-div: 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)

series12.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

17 → 32

Calls

Call 1

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

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

Calls

9 calls:

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

simplify107.0ms (1.9%)

Memory

-29.2MiB live, 87.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	208
1	327	208
2	1180	208
3	3421	200
4	7217	200
0	8298	185

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

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

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

rewrite166.0ms (3%)

Memory

27.7MiB live, 182.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	154
0	42	140
1	109	118
2	578	118
3	4776	118
0	8498	110

Stop Event

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

Counts

17 → 716

Calls

Call 1

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

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

eval81.0ms (1.5%)

Memory: 6.5MiB live, 129.0MiB allocated
Compiler: Compiled 13 139 to 2 159 computations (83.6% saved)

prune19.0ms (0.3%)

Memory

6.7MiB live, 43.5MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	629	2	631
Fresh	0	0	0
Picked	3	1	4
Done	0	6	6
Total	632	9	641

Accuracy

100.0%

Counts

641 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.4%	(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
✓	99.8%	(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
✓	99.9%	(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
✓	92.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 z y) x)))
	44.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (/.f64 (*.f64 z y) (sqrt.f64 z))))
	43.6%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)))
✓	50.7%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (*.f64 (sqrt.f64 z) y)))
✓	16.9%	(.f64 #s(literal 1/2 binary64) #s(approx (+ x ( y (sqrt z))) (sqrt.f64 (.f64 (.f64 z y) y))))
✓	50.3%	#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 534 to 208 computations (61% saved)

regimes58.0ms (1%)

Memory

-10.2MiB live, 73.4MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

7 calls:

11.0ms	z
10.0ms	(sqrt.f64 z)
7.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
7.0ms	y
7.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
99.9%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
99.9%	1	`(*.f64 y (sqrt.f64 z))`
99.9%	1	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes17.0ms (0.3%)

Memory

-12.7MiB live, 25.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

5.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	(sqrt.f64 z)
2.0ms	x
2.0ms	z

Results

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

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes12.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

7 calls:

2.0ms	z
2.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
2.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms	(*.f64 y (sqrt.f64 z))
2.0ms	x

Results

Accuracy	Segments	Branch
76.6%	3	`x`
72.9%	3	`y`
66.0%	2	`z`
56.9%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
56.9%	2	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
75.7%	3	`(*.f64 y (sqrt.f64 z))`
66.0%	2	`(sqrt.f64 z)`

Compiler

Compiled 25 to 34 computations (-36% saved)

regimes10.0ms (0.2%)

Memory

-19.3MiB live, 19.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

3.0ms	x
1.0ms	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))
1.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
1.0ms	(*.f64 y (sqrt.f64 z))
1.0ms	(sqrt.f64 z)

Results

Accuracy	Segments	Branch
50.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (.f64 y (sqrt.f64 z))))`
50.3%	1	`(+.f64 x (*.f64 y (sqrt.f64 z)))`
50.3%	1	`z`
50.3%	1	`(sqrt.f64 z)`
50.3%	1	`y`
50.3%	1	`(*.f64 y (sqrt.f64 z))`
50.3%	1	`x`

Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch30.0ms (0.5%)

Memory

23.2MiB live, 61.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.8472423500178114e+63	1.3491409696339375e+73
13.0ms	-1.1584313597435698e+75	-1.6098183842386197e+72

Samples

16.0ms

272×

valid

Compiler

Compiled 540 to 526 computations (2.6% saved)

Precisions

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

ival-mult: 3.0ms (34.6% of total)

ival-div: 2.0ms (23.1% of total)

ival-sqrt: 2.0ms (23.1% of total)

ival-add: 1.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify17.0ms (0.3%)

Memory

-5.5MiB live, 37.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	63
1	46	63
2	71	63
3	119	63
4	181	63
5	207	63
6	218	63
7	236	63
8	247	63
9	257	63
10	267	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -1620000000000000077656042875564250587059543837719326793852283275102388224 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 619999999999999968344713513253682860300840776465384431484334187216896 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 x #s(literal -1620000000000000077656042875564250587059543837719326793852283275102388224 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 619999999999999968344713513253682860300840776465384431484334187216896 binary64)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))))
(if (or (<=.f64 x #s(literal -1620000000000000077656042875564250587059543837719326793852283275102388224 binary64)) (not (<=.f64 x #s(literal 619999999999999968344713513253682860300840776465384431484334187216896 binary64)))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) x)) #s(approx ( (/ 1 2) (+ x (* y (sqrt z)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 z) y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

soundness437.0ms (7.8%)

Memory

-24.1MiB live, 247.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	169
1	270	169
2	954	169
3	2978	161
4	6480	161
0	8086	148
0	10	21
0	16	21
1	46	21
2	259	21
3	2201	21
0	8582	19

Stop Event

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

Compiler

Compiled 135 to 73 computations (45.9% saved)

preprocess59.0ms (1.1%)

Memory: 12.2MiB live, 63.4MiB allocated
Compiler: Compiled 158 to 78 computations (50.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	26
0	16	26
1	31	26
2	59	26
3	105	26
4	160	26
5	186	26
6	197	26
7	213	26
8	224	26
9	234	26
10	244	26
0	244	24

Iter	Nodes	Cost
0	28	63
1	46	63
2	71	63
3	119	63
4	181	63
5	207	63
6	218	63
7	236	63
8	247	63
9	257	63
10	267	63

Iter	Nodes	Cost
0	10	26
0	16	26
1	31	26
2	59	26
3	105	26
4	160	26
5	186	26
6	197	26
7	213	26
8	224	26
9	234	26
10	244	26
0	244	24

Iter	Nodes	Cost
0	28	63
1	46	63
2	71	63
3	119	63
4	181	63
5	207	63
6	218	63
7	236	63
8	247	63
9	257	63
10	267	63

start0.0ms (0%)

analyze45.0ms (0.8%)

sample1.7s (30.9%)

explain118.0ms (2.1%)

preprocess54.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.3%)

localize24.0ms (0.4%)

series7.0ms (0.1%)

simplify152.0ms (2.7%)

rewrite235.0ms (4.2%)

eval53.0ms (0.9%)

prune16.0ms (0.3%)

simplify70.0ms (1.3%)

localize108.0ms (1.9%)

series63.0ms (1.1%)

simplify124.0ms (2.2%)

rewrite281.0ms (5%)

eval116.0ms (2.1%)

prune19.0ms (0.3%)

simplify38.0ms (0.7%)

localize177.0ms (3.2%)

series55.0ms (1%)

simplify621.0ms (11.1%)

rewrite174.0ms (3.1%)

eval101.0ms (1.8%)

prune16.0ms (0.3%)

simplify83.0ms (1.5%)

localize64.0ms (1.2%)

series12.0ms (0.2%)

simplify107.0ms (1.9%)

rewrite166.0ms (3%)

eval81.0ms (1.5%)

prune19.0ms (0.3%)

regimes58.0ms (1%)

regimes17.0ms (0.3%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

bsearch30.0ms (0.5%)

simplify17.0ms (0.3%)

soundness437.0ms (7.8%)

preprocess59.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	26
0	16	26
1	31	26
2	59	26
3	105	26
4	160	26
5	186	26
6	197	26
7	213	26
8	224	26
9	234	26
10	244	26
0	244	24

Iter	Nodes	Cost
0	28	63
1	46	63
2	71	63
3	119	63
4	181	63
5	207	63
6	218	63
7	236	63
8	247	63
9	257	63
10	267	63