Metrics for Numeric.SpecFunctions:choose from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

analyze41.0ms (0.8%)

Memory

5.5MiB live, 100.3MiB allocated; 11ms collecting garbage

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
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample840.0ms (16.2%)

Memory

-6.3MiB live, 1 228.7MiB allocated; 224ms collecting garbage

Samples

524.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 217.0ms

ival-div: 91.0ms (42% of total)

ival-mult: 64.0ms (29.5% of total)

ival-add: 50.0ms (23.1% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain62.0ms (1.2%)

Memory

-8.1MiB live, 82.7MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
46	-	2	(-1.4360531292022917e-62 1.527831879853843e-293 -1.1651883592168746e-257)	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	0	-	`(+.f64 y z)`
0	-	0	-	`y`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x (+.f64 y z))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	o/n	39	0
↳	`(*.f64 x (+.f64 y z))`	overflow	61
`/.f64`	`(/.f64 (*.f64 x (+.f64 y z)) z)`	u/n	5	0
↳	`(*.f64 x (+.f64 y z))`	underflow	5

Confusion

	Predicted +	Predicted -
+	44	2
-	0	210

Precision

1.0

Recall

0.9565217391304348

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	44	0	2
-	0	0	210

Precision?

1.0

Recall?

0.9565217391304348

Freqs

test

number	freq
0	212
1	44

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 3.0ms (28.7% of total)

ival-add: 3.0ms (28.7% of total)

ival-mult: 3.0ms (28.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess239.0ms (4.6%)

Memory

29.1MiB live, 258.2MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	91	70
2	313	66
3	697	63
4	1224	63
5	4456	63
0	6	7
0	9	7
1	19	7
2	42	7
3	75	7
4	145	7
5	478	7
6	2092	7
7	5211	7
8	6647	7
0	8310	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.3%	(/.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify282.0ms (5.4%)

Memory

-47.5MiB live, 262.7MiB allocated; 78ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	42	18
3	75	18
4	145	18
5	478	18
6	2092	18
7	5211	18
8	6647	18
0	8310	17

Stop Event

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

Calls

Call 1

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

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

localize16.0ms (0.3%)

Memory

35.8MiB live, 35.8MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y z)
accuracy	0.01171875	(*.f64 x (+.f64 y z))
accuracy	10.66771834932505	(/.f64 (*.f64 x (+.f64 y z)) z)

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (38.3% of total)

ival-mult: 2.0ms (38.3% of total)

ival-add: 1.0ms (19.2% of total)

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

adjust: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Memory

-19.1MiB live, 24.3MiB allocated; 5ms collecting garbage

Counts

3 → 22

Calls

Call 1

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

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

Calls

9 calls:

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

simplify160.0ms (3.1%)

Memory

-7.6MiB live, 145.7MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	94
1	180	94
2	560	94
3	1615	94
4	3319	94
5	4802	94
6	5154	94
7	5670	94
0	8112	89

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 19

Calls

Call 1

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

Outputs
(/ (* x (+ y z)) z)
(fma.f64 (/.f64 y z) x x)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(* x z)
(*.f64 z x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
z
(+ y z)
(+.f64 z y)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* y (+ (/ x y) (/ x z)))
(fma.f64 (/.f64 y z) x x)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x z) y)))
(*.f64 (+.f64 z y) x)
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(fma.f64 (/.f64 y z) x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 z y) x)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(/ (+ (* x y) (* x z)) z)
(fma.f64 (/.f64 y z) x x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 (+.f64 z y) x)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)

rewrite177.0ms (3.4%)

Memory

11.1MiB live, 287.2MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	35	15
2	223	15
3	1885	15
0	8701	15

Stop Event

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

Counts

3 → 411

Calls

Call 1

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

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

eval48.0ms (0.9%)

Memory: 16.1MiB live, 116.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 12 886 to 1 526 computations (88.2% saved)

prune28.0ms (0.5%)

Memory

-22.6MiB live, 23.4MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	412	5	417
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	413	5	418

Accuracy

100.0%

Counts

418 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.7%	(/.f64 (*.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)) z)
▶	39.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
▶	46.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	85.8%	(*.f64 (/.f64 x z) (+.f64 z y))
▶	96.3%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify217.0ms (4.2%)

Memory

7.7MiB live, 194.8MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(*.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) z))
cost-diff	1	(/.f64 (*.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)) z)
cost-diff	3	(fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)
cost-diff	0	(+.f64 z y)
cost-diff	0	(/.f64 x z)
cost-diff	1	(*.f64 (/.f64 x z) (+.f64 z y))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 z x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (+ y z)) (*.f64 y x))
cost-diff	0	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) x x)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	122
0	37	111
1	69	111
2	138	110
3	323	110
4	516	110
5	1066	110
6	3312	110
7	5021	110
8	5276	110
9	5412	110
10	5710	110
11	6810	110
0	8895	110

Stop Event

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

Calls

Call 1

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

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

localize79.0ms (1.5%)

Memory

8.3MiB live, 114.0MiB allocated; 9ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 y)
accuracy	0.00390625	(*.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) z))
accuracy	0.078125	(fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)
accuracy	5.516739924908584	(/.f64 (*.f64 x (fma.f64 (sqrt.f64 y) (sqrt.f64 y) z)) z)
accuracy	0.0	(/.f64 x z)
accuracy	0.0	(+.f64 z y)
accuracy	3.554049173201222	(*.f64 (/.f64 x z) (+.f64 z y))
accuracy	0.0	(*.f64 z x)
accuracy	5.516739924908584	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
accuracy	11.89601735907828	#s(approx (* x (+ y z)) (*.f64 z x))
accuracy	0.0	(*.f64 y x)
accuracy	5.516739924908584	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
accuracy	14.63104243431022	#s(approx (* x (+ y z)) (*.f64 y x))
accuracy	0.0	(/.f64 y z)
accuracy	0.0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
accuracy	0.2685364865714553	(fma.f64 (/.f64 y z) x x)

Samples

28.0ms	116×	0	valid
20.0ms	140×	0	invalid

Compiler

Compiled 105 to 21 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 10.0ms (43.9% of total)

ival-div: 6.0ms (26.3% of total)

ival-add: 5.0ms (21.9% of total)

ival-sqrt: 2.0ms (8.8% of total)

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

adjust: 0.0ms (0% of total)

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

series19.0ms (0.4%)

Memory

-1.9MiB live, 43.3MiB allocated; 3ms collecting garbage

Counts

16 → 34

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (+ (* (sqrt y) (sqrt y)) z) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* x (+ (* (sqrt y) (sqrt y)) z)) (sqrt y))
3.0ms	x	@	inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (+ (* (sqrt y) (sqrt y)) z) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* x (+ (* (sqrt y) (sqrt y)) z)) (sqrt y))
3.0ms	y	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (+ (* (sqrt y) (sqrt y)) z) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* x (+ (* (sqrt y) (sqrt y)) z)) (sqrt y))
2.0ms	z	@	-inf	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (+ (* (sqrt y) (sqrt y)) z) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* x (+ (* (sqrt y) (sqrt y)) z)) (sqrt y))
2.0ms	x	@	0	((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (* (/ x z) (+ z y)) (/ x z) (+ z y) (+ (* (sqrt y) (sqrt y)) z) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* x (+ (* (sqrt y) (sqrt y)) z)) (sqrt y))

simplify181.0ms (3.5%)

Memory

12.6MiB live, 199.4MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	142
1	272	142
2	933	142
3	3096	142
4	6702	142
0	8272	134

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 31

Calls

Call 1

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

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

rewrite154.0ms (3%)

Memory

-28.3MiB live, 167.0MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	108
0	37	97
1	120	97
2	733	96
0	8186	96

Stop Event

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

Counts

16 → 918

Calls

Call 1

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

Outputs
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
(.f64 (/.f64 (/.f64 (.f64 (fma.f64 z z (.f64 y y)) x) z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 z y) z (.f64 y y)))
(.f64 (/.f64 (/.f64 (.f64 (fma.f64 z z (.f64 y y)) x) z) (fma.f64 z z (.f64 y y))) (-.f64 z y))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 y z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 z y) z (*.f64 y y)))
(.f64 (/.f64 (.f64 (fma.f64 (/.f64 y z) x x) (-.f64 y z)) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 z y))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 z y) z) #s(literal 2 binary64)))) (fma.f64 (neg.f64 z) z (.f64 y (-.f64 z y))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (+.f64 (pow.f64 (.f64 (-.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 z y) z) (fma.f64 (-.f64 z y) z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 z y)) #s(literal 2 binary64)))) (fma.f64 (-.f64 z y) z (.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z)) (+.f64 (pow.f64 (.f64 y (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (.f64 y (-.f64 z y)) (-.f64 (.f64 y (-.f64 z y)) (.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 z z (.f64 y y)) x) (pow.f64 (.f64 (-.f64 z y) z) #s(literal 2 binary64))) (*.f64 (-.f64 z y) z))
(.f64 (/.f64 (.f64 (fma.f64 z z (.f64 y y)) x) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 z y) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z z) y) (-.f64 y z) (pow.f64 z #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)))) (fma.f64 (/.f64 y z) x x))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 (/.f64 y z) x x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 y z) x x) x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 (/.f64 y z) x x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x z) y) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 (/.f64 y z) x x) x) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 z y) z) x)
(*.f64 (-.f64 y z) (/.f64 (neg.f64 x) z))
(.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (/.f64 (/.f64 x z) (-.f64 y z)))
(.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (/.f64 (neg.f64 x) (*.f64 (-.f64 y z) (neg.f64 z))))
(.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (/.f64 x (*.f64 (-.f64 y z) z)))
(.f64 (fma.f64 z z (.f64 y y)) (/.f64 (/.f64 x z) (-.f64 z y)))
(.f64 (fma.f64 z z (.f64 y y)) (/.f64 (neg.f64 x) (*.f64 (neg.f64 z) (-.f64 z y))))
(.f64 (fma.f64 z z (.f64 y y)) (/.f64 x (*.f64 (-.f64 z y) z)))
(.f64 (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 y z) x x) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 x z) (fma.f64 (-.f64 z y) z (.f64 y y))))
(.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (neg.f64 x) (.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (neg.f64 z))))
(.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) z)))
(.f64 (neg.f64 x) (/.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (*.f64 (-.f64 y z) (neg.f64 z))))
(.f64 (neg.f64 x) (/.f64 (fma.f64 z z (.f64 y y)) (*.f64 (neg.f64 z) (-.f64 z y))))
(.f64 (neg.f64 x) (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (neg.f64 z))))
(*.f64 (neg.f64 x) (/.f64 (-.f64 z y) (neg.f64 z)))
(*.f64 (-.f64 z y) (/.f64 x z))
(*.f64 (/.f64 x z) (-.f64 z y))
(.f64 (fma.f64 (/.f64 y z) x x) (/.f64 (-.f64 (.f64 (/.f64 x z) y) x) (-.f64 (*.f64 (/.f64 x z) y) x)))
(*.f64 x (/.f64 (-.f64 z y) z))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x z)) (fma.f64 (neg.f64 z) z (.f64 y (-.f64 z y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y z)))
(/.f64 (.f64 (/.f64 x z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (neg.f64 z) z (.f64 y (-.f64 z y))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y z)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x x)) (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x x))) (.f64 (.f64 x (/.f64 x (-.f64 (.f64 (/.f64 x z) y) x))) (.f64 x (/.f64 x (-.f64 (.f64 (/.f64 x z) y) x))))) (-.f64 (*.f64 (/.f64 x z) y) x))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 y z) (/.f64 x z)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)))))) (-.f64 (*.f64 (/.f64 x z) y) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 (/.f64 x z) y) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x x)) (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x x)) (fma.f64 (.f64 x (/.f64 x (-.f64 (.f64 (/.f64 x z) y) x))) (.f64 x (/.f64 x (-.f64 (.f64 (/.f64 x z) y) x))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)) (fma.f64 (/.f64 y z) x x)) (.f64 x (/.f64 x (-.f64 (*.f64 (/.f64 x z) y) x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (/.f64 (.f64 (fma.f64 z z (.f64 y y)) x) z)) (-.f64 y z))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 y z) x x) (-.f64 y z))) (-.f64 z y))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x z))) (fma.f64 (neg.f64 z) z (.f64 y (-.f64 z y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (/.f64 x z) y) (.f64 (-.f64 y z) (/.f64 x z)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 (.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (neg.f64 z))))
(/.f64 (neg.f64 (fma.f64 x x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64)))) (.f64 (-.f64 y z) (/.f64 x z)))
(/.f64 (.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)) (.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 (/.f64 y z) x x) x (pow.f64 (.f64 (/.f64 x z) y) #s(literal 2 binary64))))
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(fma.f64 y x (neg.f64 (*.f64 (neg.f64 x) z)))
(fma.f64 y x (*.f64 z x))
(fma.f64 x (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) (.f64 x (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (*.f64 y y)))))
(fma.f64 x (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) (.f64 x (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (*.f64 y y)))))
(fma.f64 x z (*.f64 y x))
(fma.f64 x y (neg.f64 (*.f64 (neg.f64 x) z)))
(fma.f64 x y (*.f64 z x))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 y z) x)) (/.f64 (pow.f64 (.f64 z x) #s(literal 2 binary64)) (.f64 (-.f64 y z) x)))
(-.f64 (.f64 y x) (.f64 (neg.f64 x) z))
(-.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) x) (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) x))
(+.f64 (.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) x) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y))) x))
(+.f64 (.f64 x (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y)))) (.f64 x (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y)))))
(+.f64 (.f64 x (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y)))) (.f64 x (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z y) z (.f64 y y)))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 z x) (.f64 (-.f64 z y) x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 z x) #s(literal 3 binary64)) (fma.f64 (.f64 z x) (.f64 (-.f64 z y) x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(+.f64 (.f64 y x) (neg.f64 (.f64 (neg.f64 x) z)))
(+.f64 (.f64 y x) (.f64 z x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(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 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y))))

eval64.0ms (1.2%)

Memory: 16.7MiB live, 61.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 11 666 to 1 454 computations (87.5% saved)

prune9.0ms (0.2%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	451	4	455
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	453	7	460

Accuracy

100.0%

Counts

460 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	46.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	47.2%	#s(approx (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (*.f64 (/.f64 x z) y))
▶	47.5%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) (/.f64 (.f64 (.f64 (/.f64 x z) y) x) (-.f64 (.f64 (/.f64 x z) y) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 (/.f64 x z) y) x))))
✓	96.3%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	43.0%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (*.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) z) x))
▶	47.5%	#s(approx (/ (* x (+ y z)) z) (.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (/.f64 x (*.f64 (-.f64 y z) z))))

Compiler

Compiled 133 to 78 computations (41.4% saved)

simplify185.0ms (3.6%)

Memory

-20.4MiB live, 80.5MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x z)
cost-diff	0	(*.f64 (/.f64 x z) y)
cost-diff	0	#s(approx (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (*.f64 (/.f64 x z) y))
cost-diff	0	(/.f64 (.f64 (.f64 (/.f64 x z) y) x) (-.f64 (*.f64 (/.f64 x z) y) x))
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) (/.f64 (.f64 (.f64 (/.f64 x z) y) x) (-.f64 (.f64 (/.f64 x z) y) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 (/.f64 x z) y) x))))
cost-diff	10	(fma.f64 (/.f64 y z) (/.f64 (.f64 (.f64 (/.f64 x z) y) x) (-.f64 (.f64 (/.f64 x z) y) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 (/.f64 x z) y) x)))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(*.f64 (sqrt.f64 y) x)
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (*.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) z) x))
cost-diff	4	(fma.f64 (*.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) z) x)
cost-diff	0	(neg.f64 z)
cost-diff	0	(fma.f64 (neg.f64 z) z (*.f64 y y))
cost-diff	0	#s(approx (/ (* x (+ y z)) z) (.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (/.f64 x (*.f64 (-.f64 y z) z))))
cost-diff	1	(.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (/.f64 x (*.f64 (-.f64 y z) z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	268
0	60	264
1	117	244
2	314	238
3	1255	238
4	4241	238
0	8133	230

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (2.4%)

Memory

-10.1MiB live, 83.8MiB allocated; 3ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x z)
accuracy	1.537085032969635	(*.f64 (/.f64 x z) y)
accuracy	15.442583366056757	#s(approx (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (*.f64 (/.f64 x z) y))
accuracy	0.2724427365714553	(fma.f64 (/.f64 y z) (/.f64 (.f64 (.f64 (/.f64 x z) y) x) (-.f64 (.f64 (/.f64 x z) y) x)) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 (/.f64 x z) y) x)))
accuracy	1.537085032969635	(*.f64 (/.f64 x z) y)
accuracy	9.697524850425205	(/.f64 (.f64 (.f64 (/.f64 x z) y) x) (-.f64 (*.f64 (/.f64 x z) y) x))
accuracy	12.289886741602679	(/.f64 (.f64 (neg.f64 x) x) (-.f64 (.f64 (/.f64 x z) y) x))
accuracy	0.0	#s(approx (/ (* x (+ y z)) z) (fma.f64 (*.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) z) x))
accuracy	0.078125	(/.f64 (sqrt.f64 y) z)
accuracy	0.11328125	(*.f64 (sqrt.f64 y) x)
accuracy	1.458021814007787	(fma.f64 (*.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) z) x)
accuracy	0.00390625	(*.f64 (-.f64 y z) z)
accuracy	0.7499917428166807	(fma.f64 (neg.f64 z) z (*.f64 y y))
accuracy	4.259927034130621	(/.f64 x (*.f64 (-.f64 y z) z))
accuracy	15.17946986728509	(.f64 (fma.f64 (neg.f64 z) z (.f64 y y)) (/.f64 x (*.f64 (-.f64 y z) z)))

Samples

70.0ms	116×	0	valid
32.0ms	140×	0	invalid

Compiler

Compiled 209 to 36 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 40.0ms (62.5% of total)

ival-div: 12.0ms (18.7% of total)

ival-add: 6.0ms (9.4% of total)

ival-sub: 2.0ms (3.1% of total)

ival-sqrt: 2.0ms (3.1% of total)

ival-neg: 2.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

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

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

series72.0ms (1.4%)

Memory

0.8MiB live, 46.3MiB allocated; 6ms collecting garbage

Counts

19 → 94

Calls

Call 1

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

Outputs
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z)))
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(* x (sqrt y))
(* x (- (/ (pow y 2) (* (pow z 2) (- (/ y z) 1))) (/ 1 (- (/ y z) 1))))
(/ (* x y) (* z (- (/ y z) 1)))
(/ (* x y) z)
(/ x z)
(/ x (* z (- y z)))
(* -1 (/ x (- (/ y z) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (/ (pow y 2) (* (pow z 2) (+ 1 (* -1 (/ y z))))) (/ 1 (+ 1 (* -1 (/ y z)))))))
(* -1 (/ (* x y) (* z (+ 1 (* -1 (/ y z))))))
(/ x (+ 1 (* -1 (/ y z))))
x
(+ x (/ (* x y) z))
(* -1 (pow z 2))
(+ (* -1 (pow z 2)) (pow y 2))
(sqrt y)
(+ x (* y (+ (* y (+ (* -1 (/ x (pow z 2))) (/ x (pow z 2)))) (/ x z))))
(/ y z)
(* -1 (/ (* x y) z))
(* y (+ (* -1 (/ x z)) (* -1 (/ (* x y) (pow z 2)))))
(* y (+ (* -1 (/ x z)) (* y (- (* -1 (/ (* x y) (pow z 3))) (/ x (pow z 2))))))
(* y (+ (* -1 (/ x z)) (* y (- (* y (- (* -1 (/ (* x y) (pow z 4))) (/ x (pow z 3)))) (/ x (pow z 2))))))
(* -1 (/ x (pow z 2)))
(+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x y) (pow z 3))))
(+ (* -1 (/ x (pow z 2))) (* y (- (* -1 (/ (* x y) (pow z 4))) (/ x (pow z 3)))))
(+ (* -1 (/ x (pow z 2))) (* y (- (* y (- (* -1 (/ (* x y) (pow z 5))) (/ x (pow z 4)))) (/ x (pow z 3)))))
(+ (* -1 (pow z 2)) (* y z))
(* (sqrt y) (/ 1 z))
(+ x (* y (+ (/ x z) (/ (* x y) (pow z 2)))))
(+ x (* y (+ (* y (+ (/ x (pow z 2)) (/ (* x y) (pow z 3)))) (/ x z))))
(* y (+ (/ x y) (/ x z)))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(+ x (/ (* x z) y))
(- (+ x (/ (* x (pow z 2)) (pow y 2))) (* -1 (/ (* x z) y)))
(- (+ x (/ (* x (pow z 3)) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* x (pow z 2)) (pow y 2)))))
(/ x (* y z))
(/ (+ (/ x y) (/ x z)) y)
(/ (- (+ (/ x z) (/ (* x z) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ (/ x z) (/ (* x (pow z 2)) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) y)
(* y z)
(* y (+ z (* -1 (/ (pow z 2) y))))
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)
(/ (+ (* -1 (* x z)) (+ (* -1 (/ (* x (pow z 2)) y)) (* -1 (/ (* x (pow z 3)) (pow y 2))))) y)
(/ (+ (* -1 (* x z)) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (/ (* x (pow z 3)) (pow y 2))) (* -1 (/ (* x (pow z 4)) (pow y 3)))))) y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(* -1 (* y (+ (* -1 (/ x y)) (/ (* x (pow (sqrt -1) 2)) z))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)))
(+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (+ (* x (pow z 2)) (/ (* x (pow z 3)) y)) y))) y)))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ x z))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (+ x (/ (* x z) y)) y))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y))) y))) y))
(* -1 (* y (+ (* -1 z) (/ (pow z 2) y))))
(* -1 (* (sqrt y) (/ (pow (sqrt -1) 2) z)))
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* -1 (/ (* x (pow z 3)) y))) y)) (* x z)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* -1 (/ (+ (* x (pow z 3)) (/ (* x (pow z 4)) y)) y))) y)) (* x z)) y))
(/ (+ (* x y) (* x z)) z)
(* -1 z)
(+ x (* z (- (/ (* x z) (pow y 2)) (* -1 (/ x y)))))
(+ x (* z (- (* z (- (/ (* x z) (pow y 3)) (* -1 (/ x (pow y 2))))) (* -1 (/ x y)))))
(/ (+ (/ x y) (/ (* x z) (pow y 2))) z)
(/ (+ (* z (- (/ (* x z) (pow y 3)) (* -1 (/ x (pow y 2))))) (/ x y)) z)
(/ (+ (* z (- (* z (- (/ (* x z) (pow y 4)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))) (/ x y)) z)
(* z (+ y (* -1 z)))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(* z (+ (* -1 (/ x y)) (* z (+ (* -1 (/ x (pow y 2))) (* -1 (/ (* x z) (pow y 3)))))))
(* z (+ (* -1 (/ x y)) (* z (+ (* -1 (/ x (pow y 2))) (* z (+ (* -1 (/ x (pow y 3))) (* -1 (/ (* x z) (pow y 4)))))))))
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(+ x (+ (* -1 (/ (* x (pow y 2)) (pow z 2))) (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2)))))
(/ (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 2)) z))) z)
(/ (- (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 3)) (pow z 2)))) (/ (* x (pow y 2)) z)) z)
(/ (- (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 4)) (pow z 3)))) (+ (/ (* x (pow y 2)) z) (/ (* x (pow y 3)) (pow z 2)))) z)
(/ (+ (* -1 x) (* -1 (/ (* x y) z))) (pow z 2))
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 2)) (pow z 2)))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 3)) (pow z 3)))) (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2)))) (pow z 2))
(* (pow z 2) (- (/ y z) 1))
(+ x (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2))))
(+ x (+ (/ (* x y) z) (+ (/ (* x (pow y 2)) (pow z 2)) (/ (* x (pow y 3)) (pow z 3)))))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x (pow y 2))) (* x (pow y 2))) z))) z)))
(* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (+ (* x (pow y 3)) (/ (* x (pow y 4)) z)) z))) z)) (* x y)) z))
(/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) (pow z 2))
(/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) (pow z 2))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 2)) z))) z)))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x (pow y 2)) (/ (* x (pow y 3)) z)) z))) z)))

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	y	@	-inf	((* (+ (* (neg z) z) (* y y)) (/ x (* (- y z) z))) (/ (* x (+ y z)) z) (+ (* (neg z) z) (* y y)) (neg z) (+ (* (* (sqrt y) x) (/ (sqrt y) z)) x) (/ (* x (+ y z)) z) (* (sqrt y) x) (sqrt y) (+ (* (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x))) (/ (* (neg x) x) (- (* (/ x z) y) x))) (/ (* x (+ y z)) z) (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* (/ x z) y) (/ x z) (/ x (* (- y z) z)) (* (- y z) z) (/ (sqrt y) z) (/ (* (neg x) x) (- (* (/ x z) y) x)))
9.0ms	x	@	0	((* (+ (* (neg z) z) (* y y)) (/ x (* (- y z) z))) (/ (* x (+ y z)) z) (+ (* (neg z) z) (* y y)) (neg z) (+ (* (* (sqrt y) x) (/ (sqrt y) z)) x) (/ (* x (+ y z)) z) (* (sqrt y) x) (sqrt y) (+ (* (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x))) (/ (* (neg x) x) (- (* (/ x z) y) x))) (/ (* x (+ y z)) z) (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* (/ x z) y) (/ x z) (/ x (* (- y z) z)) (* (- y z) z) (/ (sqrt y) z) (/ (* (neg x) x) (- (* (/ x z) y) x)))
7.0ms	x	@	-inf	((* (+ (* (neg z) z) (* y y)) (/ x (* (- y z) z))) (/ (* x (+ y z)) z) (+ (* (neg z) z) (* y y)) (neg z) (+ (* (* (sqrt y) x) (/ (sqrt y) z)) x) (/ (* x (+ y z)) z) (* (sqrt y) x) (sqrt y) (+ (* (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x))) (/ (* (neg x) x) (- (* (/ x z) y) x))) (/ (* x (+ y z)) z) (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* (/ x z) y) (/ x z) (/ x (* (- y z) z)) (* (- y z) z) (/ (sqrt y) z) (/ (* (neg x) x) (- (* (/ x z) y) x)))
5.0ms	y	@	inf	((* (+ (* (neg z) z) (* y y)) (/ x (* (- y z) z))) (/ (* x (+ y z)) z) (+ (* (neg z) z) (* y y)) (neg z) (+ (* (* (sqrt y) x) (/ (sqrt y) z)) x) (/ (* x (+ y z)) z) (* (sqrt y) x) (sqrt y) (+ (* (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x))) (/ (* (neg x) x) (- (* (/ x z) y) x))) (/ (* x (+ y z)) z) (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* (/ x z) y) (/ x z) (/ x (* (- y z) z)) (* (- y z) z) (/ (sqrt y) z) (/ (* (neg x) x) (- (* (/ x z) y) x)))
5.0ms	z	@	0	((* (+ (* (neg z) z) (* y y)) (/ x (* (- y z) z))) (/ (* x (+ y z)) z) (+ (* (neg z) z) (* y y)) (neg z) (+ (* (* (sqrt y) x) (/ (sqrt y) z)) x) (/ (* x (+ y z)) z) (* (sqrt y) x) (sqrt y) (+ (* (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x))) (/ (* (neg x) x) (- (* (/ x z) y) x))) (/ (* x (+ y z)) z) (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* (/ x z) y) (/ x z) (/ x (* (- y z) z)) (* (- y z) z) (/ (sqrt y) z) (/ (* (neg x) x) (- (* (/ x z) y) x)))

simplify211.0ms (4.1%)

Memory

-15.7MiB live, 81.5MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	358	1473
1	1273	1261
2	4806	1241
0	8351	1150

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 93

Calls

Call 1

Inputs
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z)))
(/ (* x (+ y z)) z)
(* x (+ 1 (/ y z)))
(* x (sqrt y))
(* x (- (/ (pow y 2) (* (pow z 2) (- (/ y z) 1))) (/ 1 (- (/ y z) 1))))
(/ (* x y) (* z (- (/ y z) 1)))
(/ (* x y) z)
(/ x z)
(/ x (* z (- y z)))
(* -1 (/ x (- (/ y z) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (/ (pow y 2) (* (pow z 2) (+ 1 (* -1 (/ y z))))) (/ 1 (+ 1 (* -1 (/ y z)))))))
(* -1 (/ (* x y) (* z (+ 1 (* -1 (/ y z))))))
(/ x (+ 1 (* -1 (/ y z))))
x
(+ x (/ (* x y) z))
(* -1 (pow z 2))
(+ (* -1 (pow z 2)) (pow y 2))
(sqrt y)
(+ x (* y (+ (* y (+ (* -1 (/ x (pow z 2))) (/ x (pow z 2)))) (/ x z))))
(/ y z)
(* -1 (/ (* x y) z))
(* y (+ (* -1 (/ x z)) (* -1 (/ (* x y) (pow z 2)))))
(* y (+ (* -1 (/ x z)) (* y (- (* -1 (/ (* x y) (pow z 3))) (/ x (pow z 2))))))
(* y (+ (* -1 (/ x z)) (* y (- (* y (- (* -1 (/ (* x y) (pow z 4))) (/ x (pow z 3)))) (/ x (pow z 2))))))
(* -1 (/ x (pow z 2)))
(+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x y) (pow z 3))))
(+ (* -1 (/ x (pow z 2))) (* y (- (* -1 (/ (* x y) (pow z 4))) (/ x (pow z 3)))))
(+ (* -1 (/ x (pow z 2))) (* y (- (* y (- (* -1 (/ (* x y) (pow z 5))) (/ x (pow z 4)))) (/ x (pow z 3)))))
(+ (* -1 (pow z 2)) (* y z))
(* (sqrt y) (/ 1 z))
(+ x (* y (+ (/ x z) (/ (* x y) (pow z 2)))))
(+ x (* y (+ (* y (+ (/ x (pow z 2)) (/ (* x y) (pow z 3)))) (/ x z))))
(* y (+ (/ x y) (/ x z)))
(pow y 2)
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(+ x (/ (* x z) y))
(- (+ x (/ (* x (pow z 2)) (pow y 2))) (* -1 (/ (* x z) y)))
(- (+ x (/ (* x (pow z 3)) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* x (pow z 2)) (pow y 2)))))
(/ x (* y z))
(/ (+ (/ x y) (/ x z)) y)
(/ (- (+ (/ x z) (/ (* x z) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ (/ x z) (/ (* x (pow z 2)) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) y)
(* y z)
(* y (+ z (* -1 (/ (pow z 2) y))))
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)
(/ (+ (* -1 (* x z)) (+ (* -1 (/ (* x (pow z 2)) y)) (* -1 (/ (* x (pow z 3)) (pow y 2))))) y)
(/ (+ (* -1 (* x z)) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (/ (* x (pow z 3)) (pow y 2))) (* -1 (/ (* x (pow z 4)) (pow y 3)))))) y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(* -1 (* y (+ (* -1 (/ x y)) (/ (* x (pow (sqrt -1) 2)) z))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)))
(+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (+ (* x (pow z 2)) (/ (* x (pow z 3)) y)) y))) y)))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ x z))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (+ x (/ (* x z) y)) y))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y))) y))) y))
(* -1 (* y (+ (* -1 z) (/ (pow z 2) y))))
(* -1 (* (sqrt y) (/ (pow (sqrt -1) 2) z)))
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* -1 (/ (* x (pow z 3)) y))) y)) (* x z)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* -1 (/ (+ (* x (pow z 3)) (/ (* x (pow z 4)) y)) y))) y)) (* x z)) y))
(/ (+ (* x y) (* x z)) z)
(* -1 z)
(+ x (* z (- (/ (* x z) (pow y 2)) (* -1 (/ x y)))))
(+ x (* z (- (* z (- (/ (* x z) (pow y 3)) (* -1 (/ x (pow y 2))))) (* -1 (/ x y)))))
(/ (+ (/ x y) (/ (* x z) (pow y 2))) z)
(/ (+ (* z (- (/ (* x z) (pow y 3)) (* -1 (/ x (pow y 2))))) (/ x y)) z)
(/ (+ (* z (- (* z (- (/ (* x z) (pow y 4)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))) (/ x y)) z)
(* z (+ y (* -1 z)))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(* z (+ (* -1 (/ x y)) (* z (+ (* -1 (/ x (pow y 2))) (* -1 (/ (* x z) (pow y 3)))))))
(* z (+ (* -1 (/ x y)) (* z (+ (* -1 (/ x (pow y 2))) (* z (+ (* -1 (/ x (pow y 3))) (* -1 (/ (* x z) (pow y 4)))))))))
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(+ x (+ (* -1 (/ (* x (pow y 2)) (pow z 2))) (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2)))))
(/ (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 2)) z))) z)
(/ (- (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 3)) (pow z 2)))) (/ (* x (pow y 2)) z)) z)
(/ (- (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 4)) (pow z 3)))) (+ (/ (* x (pow y 2)) z) (/ (* x (pow y 3)) (pow z 2)))) z)
(/ (+ (* -1 x) (* -1 (/ (* x y) z))) (pow z 2))
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 2)) (pow z 2)))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 3)) (pow z 3)))) (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2)))) (pow z 2))
(* (pow z 2) (- (/ y z) 1))
(+ x (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2))))
(+ x (+ (/ (* x y) z) (+ (/ (* x (pow y 2)) (pow z 2)) (/ (* x (pow y 3)) (pow z 3)))))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x (pow y 2))) (* x (pow y 2))) z))) z)))
(* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (+ (* x (pow y 3)) (/ (* x (pow y 4)) z)) z))) z)) (* x y)) z))
(/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) (pow z 2))
(/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) (pow z 2))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 2)) z))) z)))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x (pow y 2)) (/ (* x (pow y 3)) z)) z))) z)))

Outputs
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z)))
(.f64 (.f64 (+.f64 y z) (-.f64 y z)) (/.f64 x (*.f64 (-.f64 y z) z)))
(/ (* x (+ y z)) z)
(/.f64 (*.f64 (+.f64 y z) x) z)
(* x (+ 1 (/ y z)))
(fma.f64 (/.f64 x z) y x)
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(* x (- (/ (pow y 2) (* (pow z 2) (- (/ y z) 1))) (/ 1 (- (/ y z) 1))))
(.f64 (-.f64 (.f64 (/.f64 (/.f64 y z) z) (/.f64 y (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) x)
(/ (* x y) (* z (- (/ y z) 1)))
(*.f64 (/.f64 (/.f64 y (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ x z)
(/.f64 x z)
(/ x (* z (- y z)))
(/.f64 x (*.f64 (-.f64 y z) z))
(* -1 (/ x (- (/ y z) 1)))
(/.f64 (neg.f64 x) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(* -1 (* x (- (/ (pow y 2) (* (pow z 2) (+ 1 (* -1 (/ y z))))) (/ 1 (+ 1 (* -1 (/ y z)))))))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (/.f64 y z) z) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(* -1 (/ (* x y) (* z (+ 1 (* -1 (/ y z))))))
(/.f64 (*.f64 (/.f64 y z) x) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(/ x (+ 1 (* -1 (/ y z))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 x z) y x)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(+ (* -1 (pow z 2)) (pow y 2))
(*.f64 (+.f64 y z) (-.f64 y z))
(sqrt y)
(sqrt.f64 y)
(+ x (* y (+ (* y (+ (* -1 (/ x (pow z 2))) (/ x (pow z 2)))) (/ x z))))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 x z)) y x)
(/ y z)
(/.f64 y z)
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 y) (/.f64 x z))
(* y (+ (* -1 (/ x z)) (* -1 (/ (* x y) (pow z 2)))))
(*.f64 (neg.f64 y) (/.f64 (fma.f64 (/.f64 x z) y x) z))
(* y (+ (* -1 (/ x z)) (* y (- (* -1 (/ (* x y) (pow z 3))) (/ x (pow z 2))))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x z) y x) z) z) y (/.f64 x z)))
(* y (+ (* -1 (/ x z)) (* y (- (* y (- (* -1 (/ (* x y) (pow z 4))) (/ x (pow z 3)))) (/ x (pow z 2))))))
(.f64 (fma.f64 (-.f64 (.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) (neg.f64 x)) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y) (/.f64 (/.f64 x z) z)) y (/.f64 (neg.f64 x) z)) y)
(* -1 (/ x (pow z 2)))
(/.f64 (neg.f64 x) (*.f64 z z))
(+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x y) (pow z 3))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 x z) y x) z)) z)
(+ (* -1 (/ x (pow z 2))) (* y (- (* -1 (/ (* x y) (pow z 4))) (/ x (pow z 3)))))
(fma.f64 (-.f64 (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) (neg.f64 x)) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y (/.f64 (neg.f64 x) (.f64 z z)))
(+ (* -1 (/ x (pow z 2))) (* y (- (* y (- (* -1 (/ (* x y) (pow z 5))) (/ x (pow z 4)))) (/ x (pow z 3)))))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64))) (neg.f64 x)) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) y) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y (/.f64 (neg.f64 x) (*.f64 z z)))
(+ (* -1 (pow z 2)) (* y z))
(*.f64 (-.f64 y z) z)
(* (sqrt y) (/ 1 z))
(/.f64 (sqrt.f64 y) z)
(+ x (* y (+ (/ x z) (/ (* x y) (pow z 2)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x z) y x) z) y x)
(+ x (* y (+ (* y (+ (/ x (pow z 2)) (/ (* x y) (pow z 3)))) (/ x z))))
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x z) y x) z) z) y (/.f64 x z)) y x)
(* y (+ (/ x y) (/ x z)))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x z)) y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(.f64 (fma.f64 (neg.f64 z) (/.f64 (/.f64 z y) y) #s(literal 1 binary64)) (.f64 y y))
(+ x (/ (* x z) y))
(fma.f64 (/.f64 x y) z x)
(- (+ x (/ (* x (pow z 2)) (pow y 2))) (* -1 (/ (* x z) y)))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z x)
(- (+ x (/ (* x (pow z 3)) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* x (pow z 2)) (pow y 2)))))
(fma.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) x (fma.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z x))
(/ x (* y z))
(/.f64 (/.f64 x y) z)
(/ (+ (/ x y) (/ x z)) y)
(/.f64 (+.f64 (/.f64 x y) (/.f64 x z)) y)
(/ (- (+ (/ x z) (/ (* x z) (pow y 2))) (* -1 (/ x y))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) (/.f64 x z)) y)
(/ (- (+ (/ x z) (/ (* x (pow z 2)) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z x) y) (/.f64 x z)) y)
(* y z)
(*.f64 y z)
(* y (+ z (* -1 (/ (pow z 2) y))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) z) y)
(* -1 (/ (* x z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (/.f64 x y) z x) y))
(/ (+ (* -1 (* x z)) (+ (* -1 (/ (* x (pow z 2)) y)) (* -1 (/ (* x (pow z 3)) (pow y 2))))) y)
(/.f64 (fma.f64 x z (/.f64 (*.f64 x (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) y))) y)) (neg.f64 y))
(/ (+ (* -1 (* x z)) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (/ (* x (pow z 3)) (pow y 2))) (* -1 (/ (* x (pow z 4)) (pow y 3)))))) y)
(/.f64 (fma.f64 x z (/.f64 (fma.f64 (.f64 x z) z (/.f64 (.f64 x (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64)))) y)) y)) (neg.f64 y))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 (-.f64 (/.f64 x z) (/.f64 (neg.f64 x) y)) y)
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(*.f64 (/.f64 y z) x)
(* -1 (* y (+ (* -1 (/ x y)) (/ (* x (pow (sqrt -1) 2)) z))))
(*.f64 (-.f64 (/.f64 x z) (/.f64 (neg.f64 x) y)) y)
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (sqrt.f64 y) x)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z x)
(+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (+ (* x (pow z 2)) (/ (* x (pow z 3)) y)) y))) y)))
(fma.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) x (fma.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z x))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ x z))) y))
(/.f64 (-.f64 (/.f64 x z) (/.f64 (neg.f64 x) y)) y)
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (+ x (/ (* x z) y)) y))) y))
(/.f64 (-.f64 (/.f64 x z) (/.f64 (fma.f64 (/.f64 x y) z x) (neg.f64 y))) y)
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y))) y))) y))
(/.f64 (-.f64 (/.f64 x z) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z x) (neg.f64 y))) y)
(* -1 (* y (+ (* -1 z) (/ (pow z 2) y))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) z) y)
(* -1 (* (sqrt y) (/ (pow (sqrt -1) 2) z)))
(/.f64 (sqrt.f64 y) z)
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (/.f64 x y) z x) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* -1 (/ (* x (pow z 3)) y))) y)) (* x z)) y))
(/.f64 (fma.f64 x z (/.f64 (*.f64 x (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) y))) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* -1 (/ (+ (* x (pow z 3)) (/ (* x (pow z 4)) y)) y))) y)) (* x z)) y))
(/.f64 (fma.f64 x z (/.f64 (fma.f64 (.f64 x z) z (/.f64 (.f64 x (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64)))) y)) y)) (neg.f64 y))
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 (+.f64 y z) x) z)
(* -1 z)
(neg.f64 z)
(+ x (* z (- (/ (* x z) (pow y 2)) (* -1 (/ x y)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z x)
(+ x (* z (- (* z (- (/ (* x z) (pow y 3)) (* -1 (/ x (pow y 2))))) (* -1 (/ x y)))))
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) y) z (/.f64 x y)) z x)
(/ (+ (/ x y) (/ (* x z) (pow y 2))) z)
(/.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z)
(/ (+ (* z (- (/ (* x z) (pow y 3)) (* -1 (/ x (pow y 2))))) (/ x y)) z)
(/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) y) z (/.f64 x y)) z)
(/ (+ (* z (- (* z (- (/ (* x z) (pow y 4)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))) (/ x y)) z)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (/.f64 (/.f64 x y) y)) z (/.f64 x y)) z)
(* z (+ y (* -1 z)))
(*.f64 (-.f64 y z) z)
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (/.f64 x y) z x) y))
(* z (+ (* -1 (/ x y)) (* z (+ (* -1 (/ x (pow y 2))) (* -1 (/ (* x z) (pow y 3)))))))
(*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) y) z (/.f64 x y)) (neg.f64 z))
(* z (+ (* -1 (/ x y)) (* z (+ (* -1 (/ x (pow y 2))) (* z (+ (* -1 (/ x (pow y 3))) (* -1 (/ (* x z) (pow y 4)))))))))
(*.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (/.f64 (/.f64 x y) y))) z (/.f64 (neg.f64 x) y)) z)
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(.f64 (-.f64 (.f64 (/.f64 y z) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z z))
(+ x (+ (* -1 (/ (* x (pow y 2)) (pow z 2))) (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2)))))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 x z)) y x)
(/ (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 2)) z))) z)
(*.f64 (neg.f64 y) (/.f64 (fma.f64 (/.f64 x z) y x) z))
(/ (- (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 3)) (pow z 2)))) (/ (* x (pow y 2)) z)) z)
(/.f64 (fma.f64 x (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) z) (*.f64 x y)) (neg.f64 z))
(/ (- (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 4)) (pow z 3)))) (+ (/ (* x (pow y 2)) z) (/ (* x (pow y 3)) (pow z 2)))) z)
(/.f64 (fma.f64 (neg.f64 x) (+.f64 y (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) z))) z)
(/ (+ (* -1 x) (* -1 (/ (* x y) z))) (pow z 2))
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 x z) y x) z)) z)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 2)) (pow z 2)))) (/ (* x y) z)) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x z) y x) z) y x)) (*.f64 z z))
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 3)) (pow z 3)))) (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2)))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x z) y x) z) y (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x x))) (*.f64 z z))
(* (pow z 2) (- (/ y z) 1))
(.f64 (.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z) z)
(+ x (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x z) y x) z) y x)
(+ x (+ (/ (* x y) z) (+ (/ (* x (pow y 2)) (pow z 2)) (/ (* x (pow y 3)) (pow z 3)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x z) y x) z) y (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x x))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x (pow y 2))) (* x (pow y 2))) z))) z)))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 x z)) y x)
(* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))
(*.f64 (neg.f64 y) (/.f64 (fma.f64 (/.f64 x z) y x) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))
(/.f64 (fma.f64 x (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) z) (*.f64 x y)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (+ (* x (pow y 3)) (/ (* x (pow y 4)) z)) z))) z)) (* x y)) z))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x y) y (/.f64 (.f64 x (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64)))) z)) z) (*.f64 x y)) (neg.f64 z))
(/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x z) y x) z) y x)) (*.f64 z z))
(/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x z) y x) z) y (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x x))) (*.f64 z z))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 2)) z))) z)))
(fma.f64 (/.f64 (fma.f64 (/.f64 x z) y x) z) y x)
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x (pow y 2)) (/ (* x (pow y 3)) z)) z))) z)))
(fma.f64 (/.f64 (fma.f64 (/.f64 x z) y x) z) y (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x x))

rewrite190.0ms (3.7%)

Memory

13.5MiB live, 59.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	222
0	60	176
1	199	148
2	1622	148
0	8401	144

Stop Event

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

Counts

19 → 777

Calls

Call 1

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

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

eval98.0ms (1.9%)

Memory: 12.1MiB live, 56.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 28 336 to 2 620 computations (90.8% saved)

prune45.0ms (0.9%)

Memory

-30.4MiB live, 26.7MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	677	4	681
Fresh	0	0	0
Picked	3	1	4
Done	0	3	3
Total	680	8	688

Accuracy

100.0%

Counts

688 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	46.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
▶	20.0%	#s(approx (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (.f64 (/.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) x)))
✓	47.2%	#s(approx (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (*.f64 (/.f64 x z) y))
▶	47.1%	#s(approx (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (*.f64 x (/.f64 y z)))
▶	21.8%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) (/.f64 (.f64 (.f64 (/.f64 x z) y) x) (-.f64 (.f64 (/.f64 x z) y) x)) #s(approx (/ ( (neg x) x) (- (* (/ x z) y) x)) (*.f64 (/.f64 z y) (neg.f64 x)))))
✓	96.3%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
▶	29.6%	#s(approx (/ (* x (+ y z)) z) (.f64 #s(approx (+ ( (neg z) z) (* y y)) (.f64 y y)) (/.f64 x (.f64 (-.f64 y z) z))))

Compiler

Compiled 165 to 101 computations (38.8% saved)

simplify156.0ms (3%)

Memory

32.2MiB live, 76.8MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	309
0	68	293
1	132	290
2	327	290
3	1267	290
4	3976	290
5	7483	290
0	8514	286

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (2.7%)

Memory

2.8MiB live, 95.1MiB allocated; 4ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.078125	(/.f64 (sqrt.f64 y) z)
accuracy	0.11328125	(*.f64 (sqrt.f64 y) x)
accuracy	2.204825048540446	(.f64 (/.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) x))
accuracy	15.442583366056757	#s(approx (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (.f64 (/.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) x)))
accuracy	0.0	(/.f64 y z)
accuracy	1.9647435499821548	(*.f64 x (/.f64 y z))
accuracy	15.442583366056757	#s(approx (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (*.f64 x (/.f64 y z)))
accuracy	1.537085032969635	(*.f64 (/.f64 x z) y)
accuracy	3.7460783064083945	(*.f64 (/.f64 z y) (neg.f64 x))
accuracy	9.697524850425205	(/.f64 (.f64 (.f64 (/.f64 x z) y) x) (-.f64 (*.f64 (/.f64 x z) y) x))
accuracy	15.4224325751612	#s(approx (/ (* (neg x) x) (- (* (/ x z) y) x)) (*.f64 (/.f64 z y) (neg.f64 x)))
accuracy	0.00390625	(*.f64 (-.f64 y z) z)
accuracy	4.259927034130621	(/.f64 x (*.f64 (-.f64 y z) z))
accuracy	14.49517893133803	#s(approx (+ (* (neg z) z) (* y y)) (*.f64 y y))
accuracy	15.17946986728509	(.f64 #s(approx (+ ( (neg z) z) (* y y)) (.f64 y y)) (/.f64 x (.f64 (-.f64 y z) z)))

Samples

34.0ms	140×	0	invalid
28.0ms	116×	0	valid

Compiler

Compiled 214 to 38 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 20.0ms (45% of total)

ival-div: 14.0ms (31.5% of total)

ival-add: 4.0ms (9% of total)

ival-sub: 2.0ms (4.5% of total)

ival-sqrt: 2.0ms (4.5% of total)

ival-neg: 2.0ms (4.5% of total)

adjust: 0.0ms (0% of total)

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

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

series56.0ms (1.1%)

Memory

7.2MiB live, 59.2MiB allocated; 7ms collecting garbage

Counts

20 → 90

Calls

Call 1

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

Outputs
(/ (* x (+ y z)) z)
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z)))
(* x (- (/ (pow y 2) (* (pow z 2) (- (/ y z) 1))) (/ 1 (- (/ y z) 1))))
(/ (* x y) (* z (- (/ y z) 1)))
(/ (* x y) z)
(/ x (* z (- y z)))
(* -1 (/ x (- (/ y z) 1)))
(* -1 (/ (* x z) y))
(* x (sqrt y))
(* -1 (* x (- (/ (pow y 2) (* (pow z 2) (+ 1 (* -1 (/ y z))))) (/ 1 (+ 1 (* -1 (/ y z)))))))
(* -1 (/ (* x y) (* z (+ 1 (* -1 (/ y z))))))
(/ x (+ 1 (* -1 (/ y z))))
x
(+ x (/ (* x y) z))
(* -1 (pow z 2))
(+ (* -1 (pow z 2)) (pow y 2))
(pow y 2)
(+ x (* y (+ (* y (+ (* -1 (/ x (pow z 2))) (/ x (pow z 2)))) (/ x z))))
(/ y z)
(* -1 (/ (* x y) z))
(* y (+ (* -1 (/ x z)) (* -1 (/ (* x y) (pow z 2)))))
(* y (+ (* -1 (/ x z)) (* y (- (* -1 (/ (* x y) (pow z 3))) (/ x (pow z 2))))))
(* y (+ (* -1 (/ x z)) (* y (- (* y (- (* -1 (/ (* x y) (pow z 4))) (/ x (pow z 3)))) (/ x (pow z 2))))))
(* (sqrt y) (/ 1 z))
(sqrt y)
(* -1 (/ x (pow z 2)))
(+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x y) (pow z 3))))
(+ (* -1 (/ x (pow z 2))) (* y (- (* -1 (/ (* x y) (pow z 4))) (/ x (pow z 3)))))
(+ (* -1 (/ x (pow z 2))) (* y (- (* y (- (* -1 (/ (* x y) (pow z 5))) (/ x (pow z 4)))) (/ x (pow z 3)))))
(+ (* -1 (pow z 2)) (* y z))
(+ x (* y (+ (/ x z) (/ (* x y) (pow z 2)))))
(+ x (* y (+ (* y (+ (/ x (pow z 2)) (/ (* x y) (pow z 3)))) (/ x z))))
(* y (+ (/ x y) (/ x z)))
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(+ x (/ (* x z) y))
(- (+ x (/ (* x (pow z 2)) (pow y 2))) (* -1 (/ (* x z) y)))
(- (+ x (/ (* x (pow z 3)) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* x (pow z 2)) (pow y 2)))))
(/ x (* y z))
(/ (+ (/ x y) (/ x z)) y)
(/ (- (+ (/ x z) (/ (* x z) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ (/ x z) (/ (* x (pow z 2)) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) y)
(* y z)
(* y (+ z (* -1 (/ (pow z 2) y))))
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)
(/ (+ (* -1 (* x z)) (+ (* -1 (/ (* x (pow z 2)) y)) (* -1 (/ (* x (pow z 3)) (pow y 2))))) y)
(/ (+ (* -1 (* x z)) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (/ (* x (pow z 3)) (pow y 2))) (* -1 (/ (* x (pow z 4)) (pow y 3)))))) y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)))
(+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (+ (* x (pow z 2)) (/ (* x (pow z 3)) y)) y))) y)))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(* -1 (* y (+ (* -1 (/ x y)) (/ (* x (pow (sqrt -1) 2)) z))))
(* -1 (* (sqrt y) (/ (pow (sqrt -1) 2) z)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ x z))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (+ x (/ (* x z) y)) y))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y))) y))) y))
(* -1 (* y (+ (* -1 z) (/ (pow z 2) y))))
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* -1 (/ (* x (pow z 3)) y))) y)) (* x z)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* -1 (/ (+ (* x (pow z 3)) (/ (* x (pow z 4)) y)) y))) y)) (* x z)) y))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(/ (+ (* x y) (* x z)) z)
(+ x (* z (- (/ (* x z) (pow y 2)) (* -1 (/ x y)))))
(+ x (* z (- (* z (- (/ (* x z) (pow y 3)) (* -1 (/ x (pow y 2))))) (* -1 (/ x y)))))
(/ (+ (/ x y) (/ (* x z) (pow y 2))) z)
(/ (+ (* z (- (/ (* x z) (pow y 3)) (* -1 (/ x (pow y 2))))) (/ x y)) z)
(/ (+ (* z (- (* z (- (/ (* x z) (pow y 4)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))) (/ x y)) z)
(* z (+ y (* -1 z)))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(* z (+ (* -1 (/ x y)) (* z (+ (* -1 (/ x (pow y 2))) (* -1 (/ (* x z) (pow y 3)))))))
(* z (+ (* -1 (/ x y)) (* z (+ (* -1 (/ x (pow y 2))) (* z (+ (* -1 (/ x (pow y 3))) (* -1 (/ (* x z) (pow y 4)))))))))
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(+ x (+ (* -1 (/ (* x (pow y 2)) (pow z 2))) (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2)))))
(/ (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 2)) z))) z)
(/ (- (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 3)) (pow z 2)))) (/ (* x (pow y 2)) z)) z)
(/ (- (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 4)) (pow z 3)))) (+ (/ (* x (pow y 2)) z) (/ (* x (pow y 3)) (pow z 2)))) z)
(/ (+ (* -1 x) (* -1 (/ (* x y) z))) (pow z 2))
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 2)) (pow z 2)))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 3)) (pow z 3)))) (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2)))) (pow z 2))
(* (pow z 2) (- (/ y z) 1))
(+ x (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2))))
(+ x (+ (/ (* x y) z) (+ (/ (* x (pow y 2)) (pow z 2)) (/ (* x (pow y 3)) (pow z 3)))))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x (pow y 2))) (* x (pow y 2))) z))) z)))
(* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (+ (* x (pow y 3)) (/ (* x (pow y 4)) z)) z))) z)) (* x y)) z))
(/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) (pow z 2))
(/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) (pow z 2))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 2)) z))) z)))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x (pow y 2)) (/ (* x (pow y 3)) z)) z))) z)))

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	y	@	0	((/ (* x (+ y z)) z) (* (+ (* (neg z) z) (* y y)) (/ x (* (- y z) z))) (+ (* (neg z) z) (* y y)) (* y y) (/ (* x (+ y z)) z) (+ (* (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x))) (/ (* (neg x) x) (- (* (/ x z) y) x))) (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* x (/ y z)) (* (/ (sqrt y) z) (* (sqrt y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (/ (sqrt y) z) (sqrt y) (/ x (* (- y z) z)) (* (- y z) z) (/ (* (neg x) x) (- (* (/ x z) y) x)) (* (/ z y) (neg x)) (* (/ x z) y) (* (sqrt y) x))
5.0ms	x	@	-inf	((/ (* x (+ y z)) z) (* (+ (* (neg z) z) (* y y)) (/ x (* (- y z) z))) (+ (* (neg z) z) (* y y)) (* y y) (/ (* x (+ y z)) z) (+ (* (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x))) (/ (* (neg x) x) (- (* (/ x z) y) x))) (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* x (/ y z)) (* (/ (sqrt y) z) (* (sqrt y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (/ (sqrt y) z) (sqrt y) (/ x (* (- y z) z)) (* (- y z) z) (/ (* (neg x) x) (- (* (/ x z) y) x)) (* (/ z y) (neg x)) (* (/ x z) y) (* (sqrt y) x))
5.0ms	y	@	-inf	((/ (* x (+ y z)) z) (* (+ (* (neg z) z) (* y y)) (/ x (* (- y z) z))) (+ (* (neg z) z) (* y y)) (* y y) (/ (* x (+ y z)) z) (+ (* (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x))) (/ (* (neg x) x) (- (* (/ x z) y) x))) (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* x (/ y z)) (* (/ (sqrt y) z) (* (sqrt y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (/ (sqrt y) z) (sqrt y) (/ x (* (- y z) z)) (* (- y z) z) (/ (* (neg x) x) (- (* (/ x z) y) x)) (* (/ z y) (neg x)) (* (/ x z) y) (* (sqrt y) x))
4.0ms	x	@	0	((/ (* x (+ y z)) z) (* (+ (* (neg z) z) (* y y)) (/ x (* (- y z) z))) (+ (* (neg z) z) (* y y)) (* y y) (/ (* x (+ y z)) z) (+ (* (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x))) (/ (* (neg x) x) (- (* (/ x z) y) x))) (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* x (/ y z)) (* (/ (sqrt y) z) (* (sqrt y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (/ (sqrt y) z) (sqrt y) (/ x (* (- y z) z)) (* (- y z) z) (/ (* (neg x) x) (- (* (/ x z) y) x)) (* (/ z y) (neg x)) (* (/ x z) y) (* (sqrt y) x))
4.0ms	x	@	inf	((/ (* x (+ y z)) z) (* (+ (* (neg z) z) (* y y)) (/ x (* (- y z) z))) (+ (* (neg z) z) (* y y)) (* y y) (/ (* x (+ y z)) z) (+ (* (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x))) (/ (* (neg x) x) (- (* (/ x z) y) x))) (/ y z) (/ (* (* (/ x z) y) x) (- (* (/ x z) y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (* x (/ y z)) (* (/ (sqrt y) z) (* (sqrt y) x)) (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (/ (sqrt y) z) (sqrt y) (/ x (* (- y z) z)) (* (- y z) z) (/ (* (neg x) x) (- (* (/ x z) y) x)) (* (/ z y) (neg x)) (* (/ x z) y) (* (sqrt y) x))

simplify170.0ms (3.3%)

Memory

-19.5MiB live, 168.1MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	353	1443
1	1256	1232
2	4800	1219
0	8262	1130

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 89

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z)))
(* x (- (/ (pow y 2) (* (pow z 2) (- (/ y z) 1))) (/ 1 (- (/ y z) 1))))
(/ (* x y) (* z (- (/ y z) 1)))
(/ (* x y) z)
(/ x (* z (- y z)))
(* -1 (/ x (- (/ y z) 1)))
(* -1 (/ (* x z) y))
(* x (sqrt y))
(* -1 (* x (- (/ (pow y 2) (* (pow z 2) (+ 1 (* -1 (/ y z))))) (/ 1 (+ 1 (* -1 (/ y z)))))))
(* -1 (/ (* x y) (* z (+ 1 (* -1 (/ y z))))))
(/ x (+ 1 (* -1 (/ y z))))
x
(+ x (/ (* x y) z))
(* -1 (pow z 2))
(+ (* -1 (pow z 2)) (pow y 2))
(pow y 2)
(+ x (* y (+ (* y (+ (* -1 (/ x (pow z 2))) (/ x (pow z 2)))) (/ x z))))
(/ y z)
(* -1 (/ (* x y) z))
(* y (+ (* -1 (/ x z)) (* -1 (/ (* x y) (pow z 2)))))
(* y (+ (* -1 (/ x z)) (* y (- (* -1 (/ (* x y) (pow z 3))) (/ x (pow z 2))))))
(* y (+ (* -1 (/ x z)) (* y (- (* y (- (* -1 (/ (* x y) (pow z 4))) (/ x (pow z 3)))) (/ x (pow z 2))))))
(* (sqrt y) (/ 1 z))
(sqrt y)
(* -1 (/ x (pow z 2)))
(+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x y) (pow z 3))))
(+ (* -1 (/ x (pow z 2))) (* y (- (* -1 (/ (* x y) (pow z 4))) (/ x (pow z 3)))))
(+ (* -1 (/ x (pow z 2))) (* y (- (* y (- (* -1 (/ (* x y) (pow z 5))) (/ x (pow z 4)))) (/ x (pow z 3)))))
(+ (* -1 (pow z 2)) (* y z))
(+ x (* y (+ (/ x z) (/ (* x y) (pow z 2)))))
(+ x (* y (+ (* y (+ (/ x (pow z 2)) (/ (* x y) (pow z 3)))) (/ x z))))
(* y (+ (/ x y) (/ x z)))
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(+ x (/ (* x z) y))
(- (+ x (/ (* x (pow z 2)) (pow y 2))) (* -1 (/ (* x z) y)))
(- (+ x (/ (* x (pow z 3)) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* x (pow z 2)) (pow y 2)))))
(/ x (* y z))
(/ (+ (/ x y) (/ x z)) y)
(/ (- (+ (/ x z) (/ (* x z) (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ (/ x z) (/ (* x (pow z 2)) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) y)
(* y z)
(* y (+ z (* -1 (/ (pow z 2) y))))
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)
(/ (+ (* -1 (* x z)) (+ (* -1 (/ (* x (pow z 2)) y)) (* -1 (/ (* x (pow z 3)) (pow y 2))))) y)
(/ (+ (* -1 (* x z)) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (/ (* x (pow z 3)) (pow y 2))) (* -1 (/ (* x (pow z 4)) (pow y 3)))))) y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)))
(+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (+ (* x (pow z 2)) (/ (* x (pow z 3)) y)) y))) y)))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(* -1 (* y (+ (* -1 (/ x y)) (/ (* x (pow (sqrt -1) 2)) z))))
(* -1 (* (sqrt y) (/ (pow (sqrt -1) 2) z)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ x z))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (+ x (/ (* x z) y)) y))) y))
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y))) y))) y))
(* -1 (* y (+ (* -1 z) (/ (pow z 2) y))))
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* -1 (/ (* x (pow z 3)) y))) y)) (* x z)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* -1 (/ (+ (* x (pow z 3)) (/ (* x (pow z 4)) y)) y))) y)) (* x z)) y))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(/ (+ (* x y) (* x z)) z)
(+ x (* z (- (/ (* x z) (pow y 2)) (* -1 (/ x y)))))
(+ x (* z (- (* z (- (/ (* x z) (pow y 3)) (* -1 (/ x (pow y 2))))) (* -1 (/ x y)))))
(/ (+ (/ x y) (/ (* x z) (pow y 2))) z)
(/ (+ (* z (- (/ (* x z) (pow y 3)) (* -1 (/ x (pow y 2))))) (/ x y)) z)
(/ (+ (* z (- (* z (- (/ (* x z) (pow y 4)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))) (/ x y)) z)
(* z (+ y (* -1 z)))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(* z (+ (* -1 (/ x y)) (* z (+ (* -1 (/ x (pow y 2))) (* -1 (/ (* x z) (pow y 3)))))))
(* z (+ (* -1 (/ x y)) (* z (+ (* -1 (/ x (pow y 2))) (* z (+ (* -1 (/ x (pow y 3))) (* -1 (/ (* x z) (pow y 4)))))))))
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(+ x (+ (* -1 (/ (* x (pow y 2)) (pow z 2))) (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2)))))
(/ (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 2)) z))) z)
(/ (- (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 3)) (pow z 2)))) (/ (* x (pow y 2)) z)) z)
(/ (- (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 4)) (pow z 3)))) (+ (/ (* x (pow y 2)) z) (/ (* x (pow y 3)) (pow z 2)))) z)
(/ (+ (* -1 x) (* -1 (/ (* x y) z))) (pow z 2))
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 2)) (pow z 2)))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 3)) (pow z 3)))) (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2)))) (pow z 2))
(* (pow z 2) (- (/ y z) 1))
(+ x (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2))))
(+ x (+ (/ (* x y) z) (+ (/ (* x (pow y 2)) (pow z 2)) (/ (* x (pow y 3)) (pow z 3)))))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x (pow y 2))) (* x (pow y 2))) z))) z)))
(* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (+ (* x (pow y 3)) (/ (* x (pow y 4)) z)) z))) z)) (* x y)) z))
(/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) (pow z 2))
(/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) (pow z 2))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 2)) z))) z)))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x (pow y 2)) (/ (* x (pow y 3)) z)) z))) z)))

Outputs
(/ (* x (+ y z)) z)
(/.f64 (*.f64 (+.f64 z y) x) z)
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z)))
(.f64 (.f64 (+.f64 z y) (-.f64 y z)) (/.f64 x (*.f64 (-.f64 y z) z)))
(* x (- (/ (pow y 2) (* (pow z 2) (- (/ y z) 1))) (/ 1 (- (/ y z) 1))))
(.f64 (-.f64 (.f64 (/.f64 (/.f64 y z) z) (/.f64 y (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) x)
(/ (* x y) (* z (- (/ y z) 1)))
(*.f64 (/.f64 (/.f64 y (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ x (* z (- y z)))
(/.f64 x (*.f64 (-.f64 y z) z))
(* -1 (/ x (- (/ y z) 1)))
(/.f64 (neg.f64 x) (-.f64 (/.f64 y z) #s(literal 1 binary64)))
(* -1 (/ (* x z) y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(* -1 (* x (- (/ (pow y 2) (* (pow z 2) (+ 1 (* -1 (/ y z))))) (/ 1 (+ 1 (* -1 (/ y z)))))))
(.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 (/.f64 y z) z) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(* -1 (/ (* x y) (* z (+ 1 (* -1 (/ y z))))))
(/.f64 (*.f64 (/.f64 y z) x) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(/ x (+ 1 (* -1 (/ y z))))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(fma.f64 (/.f64 y z) x x)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(+ (* -1 (pow z 2)) (pow y 2))
(*.f64 (+.f64 z y) (-.f64 y z))
(pow y 2)
(*.f64 y y)
(+ x (* y (+ (* y (+ (* -1 (/ x (pow z 2))) (/ x (pow z 2)))) (/ x z))))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 x z)) y x)
(/ y z)
(/.f64 y z)
(* -1 (/ (* x y) z))
(*.f64 (neg.f64 y) (/.f64 x z))
(* y (+ (* -1 (/ x z)) (* -1 (/ (* x y) (pow z 2)))))
(*.f64 (neg.f64 y) (/.f64 (fma.f64 (/.f64 y z) x x) z))
(* y (+ (* -1 (/ x z)) (* y (- (* -1 (/ (* x y) (pow z 3))) (/ x (pow z 2))))))
(.f64 (fma.f64 (-.f64 (.f64 (/.f64 y (pow.f64 (neg.f64 z) #s(literal 3 binary64))) x) (/.f64 (/.f64 x z) z)) y (/.f64 (neg.f64 x) z)) y)
(* y (+ (* -1 (/ x z)) (* y (- (* y (- (* -1 (/ (* x y) (pow z 4))) (/ x (pow z 3)))) (/ x (pow z 2))))))
(.f64 (fma.f64 (-.f64 (.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) (neg.f64 x)) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y) (/.f64 (/.f64 x z) z)) y (/.f64 (neg.f64 x) z)) y)
(* (sqrt y) (/ 1 z))
(/.f64 (sqrt.f64 y) z)
(sqrt y)
(sqrt.f64 y)
(* -1 (/ x (pow z 2)))
(/.f64 (neg.f64 x) (*.f64 z z))
(+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x y) (pow z 3))))
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) x x)) (*.f64 z z))
(+ (* -1 (/ x (pow z 2))) (* y (- (* -1 (/ (* x y) (pow z 4))) (/ x (pow z 3)))))
(fma.f64 (-.f64 (.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) (neg.f64 x)) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y (/.f64 (neg.f64 x) (.f64 z z)))
(+ (* -1 (/ x (pow z 2))) (* y (- (* y (- (* -1 (/ (* x y) (pow z 5))) (/ x (pow z 4)))) (/ x (pow z 3)))))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 y (pow.f64 z #s(literal 5 binary64))) (neg.f64 x)) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) y) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) y (/.f64 (neg.f64 x) (*.f64 z z)))
(+ (* -1 (pow z 2)) (* y z))
(*.f64 (-.f64 y z) z)
(+ x (* y (+ (/ x z) (/ (* x y) (pow z 2)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y z) x x) z) y x)
(+ x (* y (+ (* y (+ (/ x (pow z 2)) (/ (* x y) (pow z 3)))) (/ x z))))
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y z) x x) z) z) y (/.f64 x z)) y x)
(* y (+ (/ x y) (/ x z)))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x z)) y)
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 (neg.f64 z) y) (/.f64 z y) #s(literal 1 binary64)) (.f64 y y))
(+ x (/ (* x z) y))
(fma.f64 (/.f64 x y) z x)
(- (+ x (/ (* x (pow z 2)) (pow y 2))) (* -1 (/ (* x z) y)))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z x)
(- (+ x (/ (* x (pow z 3)) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* x (pow z 2)) (pow y 2)))))
(fma.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) x (fma.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z x))
(/ x (* y z))
(/.f64 (/.f64 x y) z)
(/ (+ (/ x y) (/ x z)) y)
(/.f64 (+.f64 (/.f64 x y) (/.f64 x z)) y)
(/ (- (+ (/ x z) (/ (* x z) (pow y 2))) (* -1 (/ x y))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) (/.f64 x z)) y)
(/ (- (+ (/ x z) (/ (* x (pow z 2)) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z x) y) (/.f64 x z)) y)
(* y z)
(*.f64 z y)
(* y (+ z (* -1 (/ (pow z 2) y))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) z) y)
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (/.f64 x y) z x) y))
(/ (+ (* -1 (* x z)) (+ (* -1 (/ (* x (pow z 2)) y)) (* -1 (/ (* x (pow z 3)) (pow y 2))))) y)
(/.f64 (fma.f64 z x (*.f64 x (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) y))) (neg.f64 y))
(/ (+ (* -1 (* x z)) (+ (* -1 (/ (* x (pow z 2)) y)) (+ (* -1 (/ (* x (pow z 3)) (pow y 2))) (* -1 (/ (* x (pow z 4)) (pow y 3)))))) y)
(/.f64 (neg.f64 (fma.f64 x (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (.f64 y y)) (.f64 x (fma.f64 z (/.f64 z y) z)))) y)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x z)) y)
(+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z x)
(+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (+ (* x (pow z 2)) (/ (* x (pow z 3)) y)) y))) y)))
(fma.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) x (fma.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z x))
(* -1 (/ (* x (* y (pow (sqrt -1) 2))) z))
(*.f64 (/.f64 y z) x)
(* -1 (* y (+ (* -1 (/ x y)) (/ (* x (pow (sqrt -1) 2)) z))))
(*.f64 (+.f64 (/.f64 x y) (/.f64 x z)) y)
(* -1 (* (sqrt y) (/ (pow (sqrt -1) 2) z)))
(/.f64 (sqrt.f64 y) z)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ x z))) y))
(/.f64 (+.f64 (/.f64 x y) (/.f64 x z)) y)
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (+ x (/ (* x z) y)) y))) y))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) (/.f64 x z)) y)
(* -1 (/ (+ (* -1 (/ x z)) (* -1 (/ (+ x (* -1 (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y))) y))) y))
(/.f64 (-.f64 (/.f64 x z) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z x) (neg.f64 y))) y)
(* -1 (* y (+ (* -1 z) (/ (pow z 2) y))))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) z) y)
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (/.f64 x y) z x) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* -1 (/ (* x (pow z 3)) y))) y)) (* x z)) y))
(/.f64 (fma.f64 z x (*.f64 x (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* -1 (/ (+ (* x (pow z 3)) (/ (* x (pow z 4)) y)) y))) y)) (* x z)) y))
(/.f64 (neg.f64 (fma.f64 x (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 4 binary64)) y)) (.f64 y y)) (.f64 x (fma.f64 z (/.f64 z y) z)))) y)
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (sqrt.f64 y) x)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 (+.f64 z y) x) z)
(+ x (* z (- (/ (* x z) (pow y 2)) (* -1 (/ x y)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z x)
(+ x (* z (- (* z (- (/ (* x z) (pow y 3)) (* -1 (/ x (pow y 2))))) (* -1 (/ x y)))))
(fma.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) y) z (/.f64 x y)) z x)
(/ (+ (/ x y) (/ (* x z) (pow y 2))) z)
(/.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) z)
(/ (+ (* z (- (/ (* x z) (pow y 3)) (* -1 (/ x (pow y 2))))) (/ x y)) z)
(/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) y) z (/.f64 x y)) z)
(/ (+ (* z (- (* z (- (/ (* x z) (pow y 4)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))) (/ x y)) z)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (/.f64 (/.f64 x y) y)) z (/.f64 x y)) z)
(* z (+ y (* -1 z)))
(*.f64 (-.f64 y z) z)
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (/.f64 x y) z x) y))
(* z (+ (* -1 (/ x y)) (* z (+ (* -1 (/ x (pow y 2))) (* -1 (/ (* x z) (pow y 3)))))))
(*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x y) z x) y) y) z (/.f64 x y)) (neg.f64 z))
(* z (+ (* -1 (/ x y)) (* z (+ (* -1 (/ x (pow y 2))) (* z (+ (* -1 (/ x (pow y 3))) (* -1 (/ (* x z) (pow y 4)))))))))
(*.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (/.f64 (/.f64 x y) y))) z (/.f64 (neg.f64 x) y)) z)
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1))
(.f64 (-.f64 (.f64 (/.f64 y z) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z z))
(+ x (+ (* -1 (/ (* x (pow y 2)) (pow z 2))) (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2)))))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 x z)) y x)
(/ (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 2)) z))) z)
(*.f64 (neg.f64 y) (/.f64 (fma.f64 (/.f64 y z) x x) z))
(/ (- (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 3)) (pow z 2)))) (/ (* x (pow y 2)) z)) z)
(/.f64 (fma.f64 x (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) z) (*.f64 y x)) (neg.f64 z))
(/ (- (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 4)) (pow z 3)))) (+ (/ (* x (pow y 2)) z) (/ (* x (pow y 3)) (pow z 2)))) z)
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 x (pow.f64 z #s(literal 3 binary64))) (fma.f64 x (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) z) (*.f64 y x)))) z)
(/ (+ (* -1 x) (* -1 (/ (* x y) z))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) x x)) (*.f64 z z))
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 2)) (pow z 2)))) (/ (* x y) z)) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y z) x x) z) y x)) (*.f64 z z))
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 3)) (pow z 3)))) (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2)))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x (fma.f64 (/.f64 (fma.f64 (/.f64 y z) x x) z) y x))) (*.f64 z z))
(* (pow z 2) (- (/ y z) 1))
(.f64 (.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z) z)
(+ x (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y z) x x) z) y x)
(+ x (+ (/ (* x y) z) (+ (/ (* x (pow y 2)) (pow z 2)) (/ (* x (pow y 3)) (pow z 3)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y z) x x) z) y (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x x))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (* x (pow y 2))) (* x (pow y 2))) z))) z)))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 x z)) y x)
(* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))
(*.f64 (neg.f64 y) (/.f64 (fma.f64 (/.f64 y z) x x) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))
(/.f64 (fma.f64 x (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) z) (*.f64 y x)) (neg.f64 z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (+ (* x (pow y 3)) (/ (* x (pow y 4)) z)) z))) z)) (* x y)) z))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y x) y (/.f64 (.f64 x (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64)))) z)) z) (*.f64 y x)) (neg.f64 z))
(/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y z) x x) z) y x)) (*.f64 z z))
(/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x (fma.f64 (/.f64 (fma.f64 (/.f64 y z) x x) z) y x))) (*.f64 z z))
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (* x (pow y 2)) z))) z)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y z) x x) z) y x)
(+ x (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (+ (* x (pow y 2)) (/ (* x (pow y 3)) z)) z))) z)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y z) x x) z) y (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x x))

rewrite158.0ms (3.1%)

Memory

23.0MiB live, 158.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	269
0	68	253
1	205	244
2	1285	240
0	8902	240

Stop Event

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

Counts

20 → 287

Calls

Call 1

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

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

eval80.0ms (1.6%)

Memory: -3.8MiB live, 98.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 16 894 to 1 352 computations (92% saved)

prune25.0ms (0.5%)

Memory

-17.4MiB live, 30.0MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	335	2	337
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	337	8	345

Accuracy

100.0%

Counts

345 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z)
✓	46.2%	(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z)
✓	20.0%	#s(approx (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (.f64 (/.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) x)))
✓	47.2%	#s(approx (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (*.f64 (/.f64 x z) y))
✓	47.1%	#s(approx (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (*.f64 x (/.f64 y z)))
	21.4%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 (.f64 (.f64 (/.f64 x z) y) x) z) (/.f64 y (-.f64 (.f64 (/.f64 x z) y) x)) #s(approx (/ ( (neg x) x) (- (* (/ x z) y) x)) (*.f64 (/.f64 z y) x))))
✓	96.3%	#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))
	29.5%	#s(approx (/ (* x (+ y z)) z) (.f64 #s(approx (+ ( (neg z) z) (* y y)) (.f64 y y)) (/.f64 x #s(approx ( (- y z) z) (*.f64 z y)))))

Compiler

Compiled 514 to 189 computations (63.2% saved)

regimes22.0ms (0.4%)

Memory

-9.9MiB live, 37.6MiB allocated; 1ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
5.0ms	z
5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`
96.3%	1	`x`
96.3%	1	`y`
96.3%	1	`z`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes8.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
57.0%	5	`x`
66.3%	3	`y`
66.6%	3	`z`
71.2%	3	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	z
1.0ms	y
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
49.1%	2	`x`
49.2%	2	`y`
49.3%	2	`z`
49.3%	2	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

regimes34.0ms (0.7%)

Memory

-38.9MiB live, 11.8MiB allocated; 2ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

1.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
47.1%	1	`x`
47.1%	1	`y`
47.1%	1	`z`
47.1%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.901531041908515e+78	-2.833812932217857e+76

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.058383135650805e+293	1.577904728428871e+300
0.0ms	0.0	4.0158925875564334e-281

Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.901531041908515e+78	-2.833812932217857e+76

Compiler

Compiled 10 to 12 computations (-20% saved)

simplify45.0ms (0.9%)

Memory

27.3MiB live, 74.3MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	131
1	56	131
2	103	131
3	202	131
4	345	131
5	858	131
6	3431	131

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -1000000000000000008493621433689702976148869924598760615894999102702796905906176 binary64)) #s(approx (/ ( x (+ (* (sqrt y) (sqrt y)) z)) z) (.f64 (/.f64 x z) y)) #s(approx (/ ( x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 0 binary64)) #s(approx (/ ( x (+ (* (sqrt y) (sqrt y)) z)) z) (.f64 (/.f64 x z) y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 z x)) z) #s(approx (/ ( x (+ (* (sqrt y) (sqrt y)) z)) z) (*.f64 (/.f64 x z) y))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -1000000000000000008493621433689702976148869924598760615894999102702796905906176 binary64)) #s(approx (/ ( x (+ (* (sqrt y) (sqrt y)) z)) z) (.f64 (/.f64 x z) y)) #s(approx (/ ( x (+ (* (sqrt y) (sqrt y)) z)) z) (*.f64 x (/.f64 y z))))
#s(approx (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (*.f64 x (/.f64 y z)))

Outputs
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -1000000000000000008493621433689702976148869924598760615894999102702796905906176 binary64)) #s(approx (/ ( x (+ (* (sqrt y) (sqrt y)) z)) z) (.f64 (/.f64 x z) y)) #s(approx (/ ( x (+ y z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -1000000000000000008493621433689702976148869924598760615894999102702796905906176 binary64)) #s(approx (/ ( x (+ (* (sqrt y) (sqrt y)) z)) z) (.f64 (/.f64 x z) y)) #s(approx (/ ( x (+ (* (sqrt y) (sqrt y)) z)) z) (fma.f64 (/.f64 y z) x x)))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 0 binary64)) #s(approx (/ ( x (+ (* (sqrt y) (sqrt y)) z)) z) (.f64 (/.f64 x z) y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)) (/.f64 #s(approx (* x (+ y z)) (.f64 z x)) z) #s(approx (/ ( x (+ (* (sqrt y) (sqrt y)) z)) z) (*.f64 (/.f64 x z) y))))
(if (or (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 0 binary64)) (not (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal 500000000000000033218233870624051559273578085293146227242730553688428373313942025291772445173343784902203060391783730334018872146080525445438937693685560099880385440039019562564899736303066977469942164287306646602841967984783674295365678010359632817483559061875818696759295984370225714747670528 binary64)))) #s(approx (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (.f64 (/.f64 x z) y)) (/.f64 #s(approx ( x (+ y z)) (*.f64 z x)) z))
(if (<=.f64 (/.f64 (.f64 x (+.f64 y z)) z) #s(literal -1000000000000000008493621433689702976148869924598760615894999102702796905906176 binary64)) #s(approx (/ ( x (+ (* (sqrt y) (sqrt y)) z)) z) (.f64 (/.f64 x z) y)) #s(approx (/ ( x (+ (* (sqrt y) (sqrt y)) z)) z) (*.f64 x (/.f64 y z))))
#s(approx (/ (* x (+ (* (sqrt y) (sqrt y)) z)) z) (*.f64 x (/.f64 y z)))

derivations632.0ms (12.2%)

Memory

0.1MiB live, 558.3MiB allocated; 174ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	94
1	180	94
2	560	94
3	1615	94
4	3319	94
5	4802	94
6	5154	94
7	5670	94
0	8112	89
0	76	142
1	272	142
2	933	142
3	3096	142
4	6702	142
0	8272	134
0	6	15
0	9	15
1	35	15
2	223	15
3	1885	15
0	8701	15
0	36	222
0	60	176
1	199	148
2	1622	148
0	8401	144

Stop Event

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

Compiler

Compiled 155 to 35 computations (77.4% saved)

preprocess94.0ms (1.8%)

Memory: 34.1MiB live, 176.1MiB allocated; 19ms collecting garbage
Compiler: Compiled 428 to 134 computations (68.7% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze41.0ms (0.8%)

sample840.0ms (16.2%)

explain62.0ms (1.2%)

preprocess239.0ms (4.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify282.0ms (5.4%)

localize16.0ms (0.3%)

series10.0ms (0.2%)

simplify160.0ms (3.1%)

rewrite177.0ms (3.4%)

eval48.0ms (0.9%)

prune28.0ms (0.5%)

simplify217.0ms (4.2%)

localize79.0ms (1.5%)

series19.0ms (0.4%)

simplify181.0ms (3.5%)

rewrite154.0ms (3%)

eval64.0ms (1.2%)

prune9.0ms (0.2%)

simplify185.0ms (3.6%)

localize122.0ms (2.4%)

series72.0ms (1.4%)

simplify211.0ms (4.1%)

rewrite190.0ms (3.7%)

eval98.0ms (1.9%)

prune45.0ms (0.9%)

simplify156.0ms (3%)

localize141.0ms (2.7%)

series56.0ms (1.1%)

simplify170.0ms (3.3%)

rewrite158.0ms (3.1%)

eval80.0ms (1.6%)

prune25.0ms (0.5%)

regimes22.0ms (0.4%)

regimes8.0ms (0.2%)

regimes7.0ms (0.1%)

regimes34.0ms (0.7%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify45.0ms (0.9%)

derivations632.0ms (12.2%)

preprocess94.0ms (1.8%)

end0.0ms (0%)

Profiling