Metrics for Statistics.Sample:robustSumVarWeighted from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample548.0ms (13.8%)

Memory

219.5MiB live, 219.5MiB allocated

Samples

326.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 107.0ms (68.9% of total)

ival-add: 38.0ms (24.5% of total)

ival-true: 7.0ms (4.5% of total)

ival-assert: 4.0ms (2.6% of total)

Bogosity

explain93.0ms (2.3%)

Memory

37.9MiB live, 37.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 y z) z)`
-	-	`y`
-	-	`(*.f64 y z)`
-	-	`z`
-	-	`(+.f64 x (.f64 (.f64 y z) z))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 83 to 34 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 8.0ms (71.1% of total)

ival-add: 3.0ms (26.7% of total)

ival-true: 1.0ms (8.9% of total)

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

preprocess29.0ms (0.7%)

Memory

6.2MiB live, 6.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	79	64
2	181	64
3	440	64
4	824	64
5	1076	64
6	1104	64
0	6	7
0	9	7
1	14	7
2	15	7
0	15	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (.f64 (.f64 y z) z))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	14	18
2	15	18
0	15	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.5%)

Memory

6.7MiB live, 6.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x (.f64 (.f64 y z) z))
accuracy	0	(*.f64 y z)
accuracy	0.13671875	(.f64 (.f64 y z) z)

Samples

13.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 4.0ms (75.1% of total)

ival-add: 1.0ms (18.8% of total)

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

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

series8.0ms (0.2%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

3 → 9

Calls

Call 1

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

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

Calls

9 calls:

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

simplify77.0ms (2%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	51
1	87	51
2	237	51
3	702	51
4	2114	51
5	4251	51
6	6946	51
0	8062	45

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

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

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

rewrite173.0ms (4.3%)

Memory

59.0MiB live, 59.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	27	15
2	179	15
3	1772	15
0	8545	14

Stop Event

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

Counts

3 → 172

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z y) z) (fma.f64 (.f64 z y) z x) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 (.f64 (.f64 z y) z) x)) #s(literal 2 binary64))))) (-.f64 (.f64 x x) (.f64 (-.f64 (.f64 (.f64 z y) z) x) (.f64 (*.f64 z y) z))))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 (.f64 (.f64 z y) z) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 z y) z)) (fma.f64 (-.f64 (.f64 (.f64 z y) z) x) (.f64 (.f64 z y) z) (neg.f64 (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))) (-.f64 x (.f64 (.f64 z y) z))) (pow.f64 (fma.f64 x x (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (-.f64 x (.f64 (.f64 z y) z))) (pow.f64 (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))
(.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))))
(.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (*.f64 z y) z) x))))
(.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (.f64 z y) z))) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 z y) z x)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (-.f64 x (.f64 (.f64 z y) z)))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))))))
(.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (.f64 (*.f64 z y) z) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 (*.f64 z y) z)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (*.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))))))
(.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 x x)))
(.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (*.f64 z y) z)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) z x))
(.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (*.f64 z y) z)))))))
(.f64 (fma.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 (*.f64 z y) z) x) #s(literal 3 binary64))))))
(.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
(.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (*.f64 z y) z))))))
(.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (pow.f64 (-.f64 x (.f64 (*.f64 z y) z)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (fma.f64 (.f64 z y) z x) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))))
(.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (*.f64 z y) z)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 z y) z x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1 binary64))
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(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 z) z) y) x)
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 (*.f64 z z) (exp.f64 (log.f64 y)) x)
(fma.f64 (*.f64 z z) (pow.f64 y #s(literal 1 binary64)) x)
(fma.f64 (*.f64 z z) y x)
(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (.f64 z y) z) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 (*.f64 z y) z x)
(fma.f64 z (pow.f64 (*.f64 z y) #s(literal 1 binary64)) x)
(fma.f64 z (*.f64 z y) x)
(fma.f64 y (*.f64 z z) x)
(fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))) (/.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (.f64 z y) z))) (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 x (.f64 (.f64 z y) z)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (.f64 (*.f64 z y) z)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (.f64 (-.f64 x (.f64 (.f64 z y) z)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))))) (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z)))))) (neg.f64 (fma.f64 (*.f64 z y) z x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (-.f64 x (.f64 (.f64 z y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x (.f64 (.f64 z y) z))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (.f64 z y) z) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x (.f64 (.f64 z y) z))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z y) z))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x (.f64 (.f64 z y) z))) (neg.f64 (fma.f64 (*.f64 z y) z x)))
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(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 z y) z x)))
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(-.f64 x (.f64 (.f64 (neg.f64 z) z) y))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z y) z) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z y) z)))) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(+.f64 (.f64 (.f64 z y) z) x)
(+.f64 x (.f64 (.f64 z y) z))
(.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 1/2 binary64)))
(.f64 (exp.f64 (log.f64 y)) (.f64 z z))
(.f64 (exp.f64 (log.f64 (.f64 z y))) (exp.f64 (log.f64 z)))
(.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (.f64 z y))))
(.f64 (pow.f64 (.f64 z y) #s(literal 1 binary64)) z)
(.f64 (pow.f64 y #s(literal 1 binary64)) (.f64 z z))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 z) z) y))
(.f64 (.f64 z z) (exp.f64 (log.f64 y)))
(.f64 (.f64 z z) (pow.f64 y #s(literal 1 binary64)))
(.f64 (.f64 z z) y)
(.f64 (.f64 z y) z)
(.f64 z (pow.f64 (.f64 z y) #s(literal 1 binary64)))
(.f64 z (.f64 z y))
(.f64 y (.f64 z z))
(pow.f64 (.f64 (.f64 z y) z) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 (neg.f64 z) z) y))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 z) z) y))
(exp.f64 (*.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (log.f64 y)))
(*.f64 z y)
(*.f64 y z)

eval21.0ms (0.5%)

Memory: 13.3MiB live, 13.3MiB allocated
Compiler: Compiled 5 924 to 493 computations (91.7% saved)

prune9.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	168	7	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	169	7	176

Accuracy

100.0%

Counts

176 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.7%	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
▶	99.9%	(fma.f64 (*.f64 z y) z x)
▶	34.4%	(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
▶	30.2%	(/.f64 (-.f64 (-.f64 x (.f64 (.f64 z y) z)) (.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (.f64 x x)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) z))))
▶	40.4%	(.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
	52.0%	(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
▶	38.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 288 to 144 computations (50% saved)

simplify143.0ms (3.6%)

Memory

38.5MiB live, 38.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	0	(-.f64 x (.f64 (.f64 z y) z))
cost-diff	448	(-.f64 (-.f64 x (.f64 (.f64 z y) z)) (.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (.f64 x x)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))))
cost-diff	5184	(/.f64 (-.f64 (-.f64 x (.f64 (.f64 z y) z)) (.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (.f64 x x)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) z))))
cost-diff	0	(pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	192	(fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64)))
cost-diff	320	(.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
cost-diff	0	(pow.f64 z #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
cost-diff	0	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
cost-diff	0	(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) y)
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) z x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	323
0	58	290
1	110	290
2	309	290
3	1743	288
4	7571	288
0	8777	287

Stop Event

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

Calls

Call 1

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

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

localize102.0ms (2.6%)

Memory

40.3MiB live, 40.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	4.26563615735073	(.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (.f64 x x)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))
accuracy	12.425729645755155	(-.f64 (-.f64 x (.f64 (.f64 z y) z)) (.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (.f64 x x)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))))
accuracy	20.48729002054658	(/.f64 (-.f64 (-.f64 x (.f64 (.f64 z y) z)) (.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (.f64 x x)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 x (.f64 (.f64 z y) z)) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) z))))
accuracy	25.769002977111988	(/.f64 (-.f64 x (.f64 (.f64 z y) z)) (*.f64 x x))
accuracy	0.13671875	(.f64 (.f64 z y) z)
accuracy	0.24635728944849444	(/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z)))
accuracy	4.687487614981236	(fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 2 binary64)))
accuracy	36.17930799760484	(.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x (.f64 (.f64 z y) z))))
accuracy	0.13671875	(.f64 (.f64 z y) z)
accuracy	3.1011342601562903	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
accuracy	6.613571261811174	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
accuracy	36.32774549760752	(/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (.f64 z y) z) x))
accuracy	0	(*.f64 z z)
accuracy	10.588375985310577	(.f64 (.f64 z z) y)
accuracy	35.45094632680955	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
accuracy	0	(*.f64 z y)
accuracy	0.04296875	(fma.f64 (*.f64 z y) z x)

Samples

67.0ms

256×

valid

Compiler

Compiled 647 to 69 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 22.0ms (48.8% of total)

ival-div: 7.0ms (15.5% of total)

ival-add: 5.0ms (11.1% of total)

ival-sub: 4.0ms (8.9% of total)

ival-pow2: 3.0ms (6.7% of total)

ival-pow: 3.0ms (6.7% of total)

exact: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

series54.0ms (1.4%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

20 → 113

Calls

Call 1

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

Outputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(* (pow y 2) (pow z 4))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(pow x 2)
(/ (* (pow y 3) (pow z 6)) (pow x 2))
(/ (- (* -1 (* x (* (pow y 2) (pow z 4)))) (* -1 (* (pow y 3) (pow z 6)))) (pow x 2))
(/ (- (* x (- (* -1 (* x (* y (pow z 2)))) (* (pow y 2) (pow z 4)))) (* -1 (* (pow y 3) (pow z 6)))) (pow x 2))
(/ (- (* x (- (* x (- x (* y (pow z 2)))) (* (pow y 2) (pow z 4)))) (* -1 (* (pow y 3) (pow z 6)))) (pow x 2))
(* -1 (* y (pow z 2)))
(- x (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(+ (/ 1 (* y (pow z 2))) (/ x (* (pow y 2) (pow z 4))))
(+ (* x (+ (/ 1 (* (pow y 2) (pow z 4))) (/ x (* (pow y 3) (pow z 6))))) (/ 1 (* y (pow z 2))))
(+ (* x (+ (* x (+ (/ 1 (* (pow y 3) (pow z 6))) (/ x (* (pow y 4) (pow z 8))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(* -1 (/ (* y (pow z 2)) (pow x 2)))
(/ (+ x (* -1 (* y (pow z 2)))) (pow x 2))
(* -1 (/ (* (pow y 3) (pow z 6)) (pow x 2)))
(/ (+ (* -1 (* (pow y 3) (pow z 6))) (* x (* (pow y 2) (pow z 4)))) (pow x 2))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(* x (- (+ 1 (* -1 (/ (* y (pow z 2)) x))) (* -2 (/ (* y (pow z 2)) x))))
(* x (- (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))))) (+ (* -2 (/ (* y (* (pow z 2) (- (* -1 (* y (pow z 2))) (* -2 (* y (pow z 2)))))) (pow x 2))) (+ (* -2 (/ (* y (pow z 2)) x)) (/ (* (pow y 2) (pow z 4)) (pow x 2))))))
(* x (- (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* (pow y 3) (pow z 6)) (pow x 3))))) (+ (* -2 (/ (* y (* (pow z 2) (- (* -1 (* y (pow z 2))) (* -2 (* y (pow z 2)))))) (pow x 2))) (+ (* -2 (/ (* y (* (pow z 2) (- (* -1 (* (pow y 2) (pow z 4))) (+ (* -2 (* y (* (pow z 2) (- (* -1 (* y (pow z 2))) (* -2 (* y (pow z 2))))))) (* (pow y 2) (pow z 4)))))) (pow x 3))) (+ (* -2 (/ (* y (pow z 2)) x)) (+ (/ (* (pow y 2) (* (pow z 4) (- (* -1 (* y (pow z 2))) (* -2 (* y (pow z 2)))))) (pow x 3)) (/ (* (pow y 2) (pow z 4)) (pow x 2))))))))
(* x (+ 1 (* -1 (/ (* y (pow z 2)) x))))
(* x (- (+ 1 (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))) (/ (* y (pow z 2)) x)))
(* x (- (+ 1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2)))))
(/ -1 x)
(/ (- (* -1 (/ (* y (pow z 2)) x)) 1) x)
(/ (- (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (+ 1 (/ (* y (pow z 2)) x))) x)
(/ (- (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (+ 1 (+ (/ (* y (pow z 2)) x) (/ (* (pow y 2) (pow z 4)) (pow x 2))))) x)
(/ 1 x)
(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)
(/ (* (pow y 2) (pow z 4)) x)
(/ (+ (* -1 (/ (* (pow y 3) (pow z 6)) x)) (* (pow y 2) (pow z 4))) x)
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* x (- (/ (* y (pow z 2)) x) (+ 1 (* 2 (/ (* y (pow z 2)) x))))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (* y (pow z 2)) (* 2 (* y (pow z 2))))) (* -1 (/ (* (pow y 2) (pow z 4)) x))) (+ (* 2 (/ (* y (* (pow z 2) (- (* y (pow z 2)) (* 2 (* y (pow z 2)))))) x)) (/ (* (pow y 2) (pow z 4)) x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (* y (pow z 2)) (* 2 (* y (pow z 2))))) (* -1 (/ (- (+ (* -1 (- (* -1 (* (pow y 2) (pow z 4))) (+ (* 2 (* y (* (pow z 2) (- (* y (pow z 2)) (* 2 (* y (pow z 2))))))) (* (pow y 2) (pow z 4))))) (* -1 (/ (* (pow y 3) (pow z 6)) x))) (+ (* 2 (/ (* y (* (pow z 2) (- (* -1 (* (pow y 2) (pow z 4))) (+ (* 2 (* y (* (pow z 2) (- (* y (pow z 2)) (* 2 (* y (pow z 2))))))) (* (pow y 2) (pow z 4)))))) x)) (/ (* (pow y 2) (* (pow z 4) (- (* y (pow z 2)) (* 2 (* y (pow z 2)))))) x))) x))) x)) 1)))
(* -1 (* x (- (/ (* y (pow z 2)) x) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 6)) x)) (* -1 (* (pow y 2) (pow z 4)))) x)) (* y (pow z 2))) x)) 1)))
(* -1 (/ (+ 1 (/ (* y (pow z 2)) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* -1 (* (pow y 2) (pow z 4)))) x)) (* y (pow z 2))) x))) x))
(* -1 (/ (- (/ (* y (pow z 2)) x) 1) x))
(* -1 (/ (+ (* -1 (* (pow y 2) (pow z 4))) (/ (* (pow y 3) (pow z 6)) x)) x))
(* y z)
(* y (pow z 4))
(+ x (* y (- (* -1 (pow z 2)) (* -2 (pow z 2)))))
(+ x (* y (- (+ (* -1 (pow z 2)) (* y (- (* -1 (/ (pow z 4) x)) (+ (* -2 (/ (* (pow z 2) (- (* -1 (pow z 2)) (* -2 (pow z 2)))) x)) (/ (pow z 4) x))))) (* -2 (pow z 2)))))
(+ x (* y (- (+ (* -1 (pow z 2)) (* y (- (+ (* -1 (/ (pow z 4) x)) (* y (- (/ (pow z 6) (pow x 2)) (+ (* -2 (/ (* (pow z 2) (- (* -1 (/ (pow z 4) x)) (+ (* -2 (/ (* (pow z 2) (- (* -1 (pow z 2)) (* -2 (pow z 2)))) x)) (/ (pow z 4) x)))) x)) (/ (* (pow z 4) (- (* -1 (pow z 2)) (* -2 (pow z 2)))) (pow x 2)))))) (+ (* -2 (/ (* (pow z 2) (- (* -1 (pow z 2)) (* -2 (pow z 2)))) x)) (/ (pow z 4) x))))) (* -2 (pow z 2)))))
(+ x (* -1 (* y (pow z 2))))
(+ x (* y (- (* -1 (/ (* y (pow z 4)) x)) (pow z 2))))
(+ x (* y (- (* y (- (/ (* y (pow z 6)) (pow x 2)) (/ (pow z 4) x))) (pow z 2))))
(- (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))
(- (* y (- (* -1 (/ (* y (pow z 4)) (pow x 3))) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(- (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (/ (pow z 4) (pow x 3)))) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))
(* (pow y 2) (+ (* -1 (/ (* y (pow z 6)) (pow x 2))) (/ (pow z 4) x)))
(* y (+ (/ x y) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* y (- (+ (* -1 (/ x y)) (pow z 2)) (* -2 (/ x y))))
(* y (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (pow z 2))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (* (pow y 2) (pow z 2)))) (/ (pow x 2) (* (pow y 2) (pow z 2)))))))
(* y (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (+ (/ (pow x 3) (* (pow y 3) (pow z 4))) (pow z 2)))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (* (pow y 2) (pow z 2)))) (+ (* -2 (/ (* x (- (* -1 (/ (pow x 2) (pow z 2))) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (pow z 2))) (/ (pow x 2) (pow z 2))))) (* (pow y 3) (pow z 2)))) (+ (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (* (pow y 3) (pow z 4))) (/ (pow x 2) (* (pow y 2) (pow z 2)))))))))
(* (pow y 3) (- (* -1 (/ (pow z 4) (* x y))) (* -1 (/ (pow z 6) (pow x 2)))))
(* (pow y 3) (- (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow z 6) (pow x 2))) (/ (pow z 4) (* x y)))))
(* (pow y 3) (- (/ x (pow y 3)) (+ (* -1 (/ (pow z 6) (pow x 2))) (+ (/ (pow z 2) (pow y 2)) (/ (pow z 4) (* x y))))))
(* y (- (/ x y) (pow z 2)))
(/ (+ (/ 1 (pow z 2)) (/ x (* y (pow z 4)))) y)
(/ (- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (* -1 (/ x (* y (pow z 4))))) y)
(/ (- (+ (/ 1 (pow z 2)) (/ (pow x 3) (* (pow y 3) (pow z 8)))) (+ (* -1 (/ x (* y (pow z 4)))) (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))))) y)
(* y (+ (* -1 (/ (pow z 2) (pow x 2))) (/ 1 (* x y))))
(* (pow y 3) (+ (* -1 (/ (pow z 6) (pow x 2))) (/ (pow z 4) (* x y))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ (- (* -1 x) (* -2 x)) y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (/ (pow x 2) (pow z 2)) (+ (* -1 (/ (pow x 2) (pow z 2))) (* 2 (/ (* x (- (* -1 x) (* -2 x))) (pow z 2))))) y))) (* -2 x)) y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (/ (pow x 3) (pow z 4)) (+ (* 2 (/ (* x (- (/ (pow x 2) (pow z 2)) (+ (* -1 (/ (pow x 2) (pow z 2))) (* 2 (/ (* x (- (* -1 x) (* -2 x))) (pow z 2)))))) (pow z 2))) (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (pow z 4)))) y)) (/ (pow x 2) (pow z 2))) (+ (* -1 (/ (pow x 2) (pow z 2))) (* 2 (/ (* x (- (* -1 x) (* -2 x))) (pow z 2))))) y))) (* -2 x)) y)) (* -1 (pow z 2)))))
(* -1 (* (pow y 3) (- (/ (pow z 4) (* x y)) (/ (pow z 6) (pow x 2)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (pow z 2) y)) (/ (pow z 4) x)) y)) (/ (pow z 6) (pow x 2)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 (pow z 2))) y)) (/ (pow z 4) x)) y)) (/ (pow z 6) (pow x 2)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (/ (- (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (* -1 (/ x (pow z 4)))) y)) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow z 8)))) (/ (pow x 2) (pow z 6))) y)) (* -1 (/ x (pow z 4)))) y)) (/ 1 (pow z 2))) y))
(* -1 (* y (- (/ (pow z 2) (pow x 2)) (/ 1 (* x y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (pow z 4) (* x y))) (/ (pow z 6) (pow x 2)))))
(pow z 2)
(pow z 4)
(+ x (* (pow z 2) (- (* -1 y) (* -2 y))))
(+ x (* (pow z 2) (- (+ (* -1 y) (* (pow z 2) (- (* -1 (/ (pow y 2) x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) x)) (/ (pow y 2) x))))) (* -2 y))))
(+ x (* (pow z 2) (- (+ (* -1 y) (* (pow z 2) (- (+ (* -1 (/ (pow y 2) x)) (* (pow z 2) (- (/ (pow y 3) (pow x 2)) (+ (* -2 (/ (* y (- (* -1 (/ (pow y 2) x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) x)) (/ (pow y 2) x)))) x)) (/ (* (pow y 2) (- (* -1 y) (* -2 y))) (pow x 2)))))) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) x)) (/ (pow y 2) x))))) (* -2 y))))
(+ x (* (pow z 2) (- (* -1 (/ (* (pow y 2) (pow z 2)) x)) y)))
(+ x (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow y 3) (pow z 2)) (pow x 2)) (/ (pow y 2) x))) y)))
(- (* (pow z 2) (- (* -1 (/ (* (pow y 2) (pow z 2)) (pow x 3))) (/ y (pow x 2)))) (/ 1 x))
(- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (/ (pow y 2) (pow x 3)))) (/ y (pow x 2)))) (/ 1 x))
(* (pow z 4) (+ (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (/ (pow y 2) x)))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 2) (- (+ y (* -1 (/ x (pow z 2)))) (* -2 (/ x (pow z 2)))))
(* (pow z 2) (- (+ y (+ (* -1 (/ x (pow z 2))) (* -1 (/ (pow x 2) (* y (pow z 4)))))) (+ (* -2 (/ x (pow z 2))) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (* y (pow z 4)))) (/ (pow x 2) (* y (pow z 4)))))))
(* (pow z 2) (- (+ y (+ (* -1 (/ x (pow z 2))) (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (pow x 3) (* (pow y 2) (pow z 6)))))) (+ (* -2 (/ x (pow z 2))) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (* y (pow z 4)))) (+ (* -2 (/ (* x (- (* -1 (/ (pow x 2) y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) y)) (/ (pow x 2) y)))) (* y (pow z 6)))) (+ (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (* (pow y 2) (pow z 6))) (/ (pow x 2) (* y (pow z 4)))))))))
(* (pow z 6) (- (* -1 (/ (pow y 2) (* x (pow z 2)))) (* -1 (/ (pow y 3) (pow x 2)))))
(* (pow z 6) (- (* -1 (/ y (pow z 4))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) (* x (pow z 2))))))
(* (pow z 6) (- (/ x (pow z 6)) (+ (* -1 (/ (pow y 3) (pow x 2))) (+ (/ y (pow z 4)) (/ (pow y 2) (* x (pow z 2)))))))
(* (pow z 2) (- (/ x (pow z 2)) y))
(/ (+ (/ 1 y) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (* -1 (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 y) (/ (pow x 3) (* (pow y 4) (pow z 6)))) (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))))) (pow z 2))
(* (pow z 2) (+ (* -1 (/ y (pow x 2))) (/ 1 (* x (pow z 2)))))
(* (pow z 6) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) (* x (pow z 2)))))

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (- x (* (* z y) z)) (* (* z y) z) (/ -1 (- x (* (* z y) z))) (/ (- x (* (* z y) z)) (* x x)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2)))
6.0ms	z	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (- x (* (* z y) z)) (* (* z y) z) (/ -1 (- x (* (* z y) z))) (/ (- x (* (* z y) z)) (* x x)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2)))
6.0ms	y	@	-inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (- x (* (* z y) z)) (* (* z y) z) (/ -1 (- x (* (* z y) z))) (/ (- x (* (* z y) z)) (* x x)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2)))
6.0ms	x	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (- x (* (* z y) z)) (* (* z y) z) (/ -1 (- x (* (* z y) z))) (/ (- x (* (* z y) z)) (* x x)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2)))
6.0ms	y	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (/ (+ (* (* (pow z 4) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (pow z 4) y) y) (* (neg x) x)) (* (pow z 4) y) (pow z 4) (* (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (/ -1 (- x (* (* z y) z)))) (+ (* -1 (* x x)) (pow (* (* z y) z) 2)) (* x x) (pow (* (* z y) z) 2) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (- x (* (* z y) z)) (* (* z y) z) (/ -1 (- x (* (* z y) z))) (/ (- x (* (* z y) z)) (* x x)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2)))

simplify169.0ms (4.2%)

Memory

45.9MiB live, 45.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	611	3005
1	1969	2756
2	7060	2744
0	8160	2634

Stop Event

1×	iter limit
1×	node limit

Counts

113 → 112

Calls

Call 1

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

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

rewrite219.0ms (5.5%)

Memory

84.3MiB live, 84.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	237
0	58	222
1	233	214
2	1915	210
0	8782	209

Stop Event

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

Counts

20 → 953

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (-.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 (*.f64 z z) y) x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 z z) y) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 z z) y) (fma.f64 (.f64 y z) z x) (.f64 x x)))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (fma.f64 (.f64 y z) z x))
(.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (fma.f64 (.f64 y z) z x))))
(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (fma.f64 (.f64 y z) z x))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (pow.f64 (-.f64 x (.f64 (.f64 z z) y)) #s(literal -1 binary64)))
(.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)))
(.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (*.f64 z z) y)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 z z) y) (fma.f64 (.f64 z z) y (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (pow.f64 (neg.f64 (fma.f64 (.f64 z z) y (neg.f64 x))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) z x))
(pow.f64 (/.f64 (-.f64 x (.f64 (.f64 z z) y)) (-.f64 (.f64 x x) (.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z z) y)))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 z z) y) (fma.f64 (.f64 z z) y (neg.f64 x)) (.f64 x x)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (.f64 z z) y (neg.f64 x))) (.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (*.f64 z z) y (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z z) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (-.f64 x (.f64 (.f64 z z) y))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z z) y)))) (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z z) y)))) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (-.f64 x (.f64 (.f64 z z) y))) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (-.f64 x (.f64 (.f64 z z) y))) (.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z z) y)))) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (-.f64 x (.f64 (*.f64 z z) y)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 (*.f64 z z) y) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z z) y)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 z z) y) (fma.f64 (.f64 z z) y (neg.f64 x)) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)))) (neg.f64 (neg.f64 (-.f64 x (.f64 (*.f64 z z) y)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x x)) (fma.f64 (*.f64 z z) y (neg.f64 x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 z z) y (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) y (neg.f64 x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 (.f64 z z) y) x) #s(literal 2 binary64)))) (fma.f64 (.f64 z z) y (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 z z) y (neg.f64 x))) (.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (.f64 x x))) (.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (fma.f64 (.f64 z z) y (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 x (.f64 (.f64 z z) y))) (.f64 (/.f64 (-.f64 x (.f64 (.f64 z z) y)) x) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) x))) (pow.f64 (/.f64 (-.f64 x (.f64 (.f64 z z) y)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (.f64 (.f64 z z) y))) (.f64 (-.f64 x (.f64 (.f64 z z) y)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (pow.f64 (-.f64 x (.f64 (*.f64 z z) y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (-.f64 x (.f64 (.f64 z z) y))) (.f64 (neg.f64 (-.f64 x (.f64 (.f64 z z) y))) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (.f64 (neg.f64 (-.f64 x (.f64 (.f64 z z) y))) (-.f64 x (.f64 (.f64 z z) y))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x x)))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) #s(literal -1 binary64))) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 (*.f64 z z) y) x) #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) #s(literal 1 binary64)) (fma.f64 (.f64 z z) y (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z z) y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 z z) y) (fma.f64 (.f64 z z) y (neg.f64 x)) (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) y (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 (*.f64 z z) y) x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (neg.f64 (-.f64 x (.f64 (*.f64 z z) y))))
(/.f64 (.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 (.f64 z z) y) x) #s(literal 2 binary64)))) (fma.f64 (.f64 z z) y (neg.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x x)) (fma.f64 (*.f64 z z) y (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (-.f64 x (.f64 (*.f64 z z) y)))
(/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (fma.f64 (*.f64 z z) y (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x x))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z z) y)))))
(/.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 z z) y) (fma.f64 (.f64 z z) y (neg.f64 x)) (.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 12 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 (.f64 z z) y (neg.f64 x)) (-.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (.f64 (.f64 (*.f64 z z) y) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (neg.f64 (fma.f64 (*.f64 z z) y (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 y z) z x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 z z) y)) (-.f64 (.f64 x x) (.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 x (-.f64 x (.f64 (.f64 z z) y)))) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 z z) y) (fma.f64 (.f64 z z) y (neg.f64 x)) (.f64 x x)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
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(/.f64 (-.f64 (.f64 (neg.f64 x) (.f64 (neg.f64 x) x)) (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 y) (.f64 z z)))) (pow.f64 x #s(literal 4 binary64)))
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(/.f64 (-.f64 (neg.f64 x) (.f64 (neg.f64 y) (.f64 z z))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (neg.f64 (-.f64 x (.f64 (.f64 z z) y))) x) (neg.f64 x))
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(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 x x) (.f64 (.f64 z z) y))) (pow.f64 x #s(literal 4 binary64)))
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(/.f64 (neg.f64 (-.f64 x (.f64 (.f64 z z) y))) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (*.f64 z z) y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (-.f64 x (.f64 (.f64 z z) y)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (*.f64 z z) y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (-.f64 x (.f64 (*.f64 z z) y)))))
(/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x (.f64 (*.f64 z z) y))) #s(literal 1 binary64))
(/.f64 (-.f64 x (.f64 (.f64 z z) y)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (-.f64 x (.f64 (.f64 z z) y)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (*.f64 z z) y)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (*.f64 z z) y))))))
(neg.f64 (.f64 (neg.f64 (-.f64 x (.f64 (*.f64 z z) y))) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 x (pow.f64 x #s(literal -2 binary64)) (neg.f64 (.f64 (/.f64 (.f64 z z) x) (/.f64 y x))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (.f64 x x)) #s(literal 2 binary64)) (fma.f64 x (pow.f64 x #s(literal -2 binary64)) (.f64 (/.f64 (.f64 z z) x) (/.f64 y x)))) (/.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) x) (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 x (pow.f64 x #s(literal -2 binary64)) (.f64 (/.f64 (*.f64 z z) x) (/.f64 y x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (.f64 x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x (.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) x) (/.f64 y x)) #s(literal 2 binary64)) (.f64 (/.f64 x (.f64 x x)) (.f64 (/.f64 (.f64 z z) x) (/.f64 y x)))))) (/.f64 (.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (/.f64 (.f64 z z) x) (/.f64 y x)) #s(literal 2 binary64)) (.f64 (/.f64 x (.f64 x x)) (.f64 (/.f64 (*.f64 z z) x) (/.f64 y x)))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 z z) y)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 y z) z x))) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 (.f64 x x) (fma.f64 (*.f64 y z) z x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 z z) y) (fma.f64 (.f64 y z) z x) (.f64 x x)))) (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 3 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 z z) y) (fma.f64 (.f64 y z) z x) (.f64 x x)))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y z) z x)) (.f64 x x)) (/.f64 (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (fma.f64 (.f64 y z) z x)) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 z z) y) (fma.f64 (.f64 y z) z x) (.f64 x x))) (.f64 x x)) (/.f64 (/.f64 (pow.f64 (.f64 (.f64 z z) y) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 z z) y) (fma.f64 (.f64 y z) z x) (.f64 x x))) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)) (.f64 (neg.f64 (-.f64 x (.f64 (.f64 z z) y))) (pow.f64 x #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x (.f64 (*.f64 z z) y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (.f64 x x)) (.f64 (/.f64 (*.f64 z z) x) (/.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z z) y))))) #s(literal -1 binary64)))
(+.f64 (/.f64 x (.f64 x x)) (neg.f64 (.f64 (/.f64 (*.f64 z z) x) (/.f64 y x))))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x (.f64 (.f64 z z) y))) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (*.f64 z z))
(.f64 (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x (.f64 (.f64 z z) y))) (.f64 (.f64 z z) y)) (.f64 (*.f64 z z) y))
(.f64 (/.f64 (-.f64 x (.f64 (.f64 z z) y)) x) (/.f64 (.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y) x))
(.f64 (.f64 (-.f64 x (.f64 (.f64 z z) y)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (pow.f64 x #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 z z) (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x (.f64 (*.f64 z z) y)))))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x (.f64 (.f64 z z) y))) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))
(.f64 (-.f64 x (.f64 (.f64 z z) y)) (/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 x x)))
(.f64 (-.f64 x (.f64 (.f64 z z) y)) (.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)))
(.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x (.f64 (.f64 z z) y))))
(.f64 (.f64 (.f64 z z) y) (.f64 (.f64 (.f64 z z) y) (.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x (.f64 (*.f64 z z) y)))))
(pow.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x (.f64 (.f64 z z) y)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 (-.f64 x (.f64 (.f64 z z) y)) (.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) x)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (/.f64 (-.f64 x (.f64 (.f64 z z) y)) x) (.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 x (.f64 (.f64 z z) y))) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (neg.f64 (.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (neg.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z z) y))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (/.f64 (-.f64 x (.f64 (*.f64 z z) y)) x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (neg.f64 (-.f64 x (.f64 (.f64 z z) y))))) (neg.f64 (.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #s(literal 1 binary64))) (neg.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z z) y))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 x (.f64 (.f64 z z) y)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)))) (neg.f64 (.f64 (neg.f64 x) x)))
(/.f64 (/.f64 (.f64 (-.f64 x (.f64 (.f64 z z) y)) (.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) x) x)
(/.f64 (.f64 (/.f64 (-.f64 x (.f64 (.f64 z z) y)) x) (.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) x)
(/.f64 (.f64 (neg.f64 (-.f64 x (.f64 (.f64 z z) y))) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z z) y)))))
(/.f64 (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (/.f64 (-.f64 x (.f64 (*.f64 z z) y)) x)) x)
(/.f64 (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (neg.f64 (-.f64 x (.f64 (.f64 z z) y)))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) #s(literal 1 binary64)) (.f64 x (/.f64 x (-.f64 x (.f64 (.f64 z z) y)))))
(/.f64 (neg.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (neg.f64 (.f64 x (/.f64 x (-.f64 x (.f64 (*.f64 z z) y))))))
(/.f64 (neg.f64 (.f64 (-.f64 x (.f64 (.f64 z z) y)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (-.f64 x (.f64 (.f64 z z) y)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)) (.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 (-.f64 x (.f64 (.f64 z z) y)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y))))
(/.f64 (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y) (.f64 x (/.f64 x (-.f64 x (.f64 (*.f64 z z) y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x (.f64 (.f64 z z) y)) (.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y)))))

eval159.0ms (4%)

Memory: 105.8MiB live, 105.8MiB allocated
Compiler: Compiled 72 047 to 4 379 computations (93.9% saved)

prune38.0ms (0.9%)

Memory

47.7MiB live, 47.7MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 254	4	1 258
Fresh	0	2	2
Picked	3	2	5
Done	0	0	0
Total	1 257	8	1 265

Accuracy

100.0%

Counts

1 265 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.7%	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	37.9%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 z z)) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
	52.0%	(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
▶	91.9%	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x))
▶	88.5%	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (.f64 z z) x) y #s(literal 1 binary64)))))
✓	38.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	44.5%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Compiler

Compiled 401 to 176 computations (56.1% saved)

simplify160.0ms (4%)

Memory

45.7MiB live, 45.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	2240	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
cost-diff	5824	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) y)
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 z z)) y (*.f64 (neg.f64 x) x))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 z z)) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
cost-diff	0	(neg.f64 (fma.f64 (/.f64 (*.f64 z z) x) y #s(literal 1 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (.f64 z z) x) y #s(literal 1 binary64)))))
cost-diff	1280	(.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (.f64 z z) x) y #s(literal 1 binary64))))
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) z)
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
cost-diff	0	(.f64 (.f64 z z) y)
cost-diff	0	(/.f64 (.f64 (.f64 z z) y) x)
cost-diff	0	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x))
cost-diff	1024	(fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	326
0	67	309
1	155	307
2	460	252
3	2472	232
0	8562	226

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (2.6%)

Memory

40.3MiB live, 40.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0.06478500976844202	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
accuracy	0.06640625	(.f64 (.f64 z y) z)
accuracy	10.597601687762516	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
accuracy	0.06640625	(.f64 (.f64 z y) z)
accuracy	4.4473866365404175	(fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 z z)) y (*.f64 (neg.f64 x) x))
accuracy	6.760798742062152	(.f64 (.f64 z z) y)
accuracy	18.688077300066517	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 z z)) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
accuracy	0	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (.f64 z z) x) y #s(literal 1 binary64)))))
accuracy	1.640276782900899	(.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (.f64 z z) x) y #s(literal 1 binary64))))
accuracy	2.138638934935763	(fma.f64 (/.f64 (*.f64 z z) x) y #s(literal 1 binary64))
accuracy	4.753844107071708	(/.f64 (*.f64 z z) x)
accuracy	0	(*.f64 y z)
accuracy	0.06640625	(.f64 (.f64 y z) z)
accuracy	16.673006749091897	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
accuracy	0	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x))
accuracy	1.636370532900899	(fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x)
accuracy	4.275225289550793	(/.f64 (.f64 (.f64 z z) y) x)
accuracy	6.760798742062152	(.f64 (.f64 z z) y)

Samples

37.0ms	131×	0	valid
36.0ms	125×	0	invalid

Compiler

Compiled 631 to 82 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 25.0ms (48.1% of total)

ival-div: 9.0ms (17.3% of total)

ival-add: 6.0ms (11.6% of total)

ival-sub: 4.0ms (7.7% of total)

ival-pow2: 3.0ms (5.8% of total)

ival-sqrt: 2.0ms (3.9% of total)

ival-neg: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.9%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

20 → 58

Calls

Call 1

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

Outputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(/ (* y (pow z 2)) x)
(* -1 x)
(* -1 (/ (* y (pow z 2)) x))
(/ (- (* -1 x) (* y (pow z 2))) x)
(* (pow y 2) (pow z 4))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(/ (pow z 2) x)
(/ (+ x (* y (pow z 2))) x)
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(* x (- (+ 1 (* -1 (/ (* y (pow z 2)) x))) (* -2 (/ (* y (pow z 2)) x))))
(* x (- (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))))) (+ (* -2 (/ (* y (* (pow z 2) (- (* -1 (* y (pow z 2))) (* -2 (* y (pow z 2)))))) (pow x 2))) (+ (* -2 (/ (* y (pow z 2)) x)) (/ (* (pow y 2) (pow z 4)) (pow x 2))))))
(* x (- (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* (pow y 3) (pow z 6)) (pow x 3))))) (+ (* -2 (/ (* y (* (pow z 2) (- (* -1 (* y (pow z 2))) (* -2 (* y (pow z 2)))))) (pow x 2))) (+ (* -2 (/ (* y (* (pow z 2) (- (* -1 (* (pow y 2) (pow z 4))) (+ (* -2 (* y (* (pow z 2) (- (* -1 (* y (pow z 2))) (* -2 (* y (pow z 2))))))) (* (pow y 2) (pow z 4)))))) (pow x 3))) (+ (* -2 (/ (* y (pow z 2)) x)) (+ (/ (* (pow y 2) (* (pow z 4) (- (* -1 (* y (pow z 2))) (* -2 (* y (pow z 2)))))) (pow x 3)) (/ (* (pow y 2) (pow z 4)) (pow x 2))))))))
-1
(- (* -1 (/ (* y (pow z 2)) x)) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
1
(+ 1 (/ (* y (pow z 2)) x))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* x (- (/ (* y (pow z 2)) x) (+ 1 (* 2 (/ (* y (pow z 2)) x))))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (* y (pow z 2)) (* 2 (* y (pow z 2))))) (* -1 (/ (* (pow y 2) (pow z 4)) x))) (+ (* 2 (/ (* y (* (pow z 2) (- (* y (pow z 2)) (* 2 (* y (pow z 2)))))) x)) (/ (* (pow y 2) (pow z 4)) x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (* y (pow z 2)) (* 2 (* y (pow z 2))))) (* -1 (/ (- (+ (* -1 (- (* -1 (* (pow y 2) (pow z 4))) (+ (* 2 (* y (* (pow z 2) (- (* y (pow z 2)) (* 2 (* y (pow z 2))))))) (* (pow y 2) (pow z 4))))) (* -1 (/ (* (pow y 3) (pow z 6)) x))) (+ (* 2 (/ (* y (* (pow z 2) (- (* -1 (* (pow y 2) (pow z 4))) (+ (* 2 (* y (* (pow z 2) (- (* y (pow z 2)) (* 2 (* y (pow z 2))))))) (* (pow y 2) (pow z 4)))))) x)) (/ (* (pow y 2) (* (pow z 4) (- (* y (pow z 2)) (* 2 (* y (pow z 2)))))) x))) x))) x)) 1)))
(+ x (* y (- (* -1 (pow z 2)) (* -2 (pow z 2)))))
(+ x (* y (- (+ (* -1 (pow z 2)) (* y (- (* -1 (/ (pow z 4) x)) (+ (* -2 (/ (* (pow z 2) (- (* -1 (pow z 2)) (* -2 (pow z 2)))) x)) (/ (pow z 4) x))))) (* -2 (pow z 2)))))
(+ x (* y (- (+ (* -1 (pow z 2)) (* y (- (+ (* -1 (/ (pow z 4) x)) (* y (- (/ (pow z 6) (pow x 2)) (+ (* -2 (/ (* (pow z 2) (- (* -1 (/ (pow z 4) x)) (+ (* -2 (/ (* (pow z 2) (- (* -1 (pow z 2)) (* -2 (pow z 2)))) x)) (/ (pow z 4) x)))) x)) (/ (* (pow z 4) (- (* -1 (pow z 2)) (* -2 (pow z 2)))) (pow x 2)))))) (+ (* -2 (/ (* (pow z 2) (- (* -1 (pow z 2)) (* -2 (pow z 2)))) x)) (/ (pow z 4) x))))) (* -2 (pow z 2)))))
(* y z)
(* (sqrt y) z)
(* y (+ (/ x y) (pow z 2)))
(* y (- (+ (* -1 (/ x y)) (pow z 2)) (* -2 (/ x y))))
(* y (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (pow z 2))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (* (pow y 2) (pow z 2)))) (/ (pow x 2) (* (pow y 2) (pow z 2)))))))
(* y (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (+ (/ (pow x 3) (* (pow y 3) (pow z 4))) (pow z 2)))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (* (pow y 2) (pow z 2)))) (+ (* -2 (/ (* x (- (* -1 (/ (pow x 2) (pow z 2))) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (pow z 2))) (/ (pow x 2) (pow z 2))))) (* (pow y 3) (pow z 2)))) (+ (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (* (pow y 3) (pow z 4))) (/ (pow x 2) (* (pow y 2) (pow z 2)))))))))
(* -1 (* y (+ (/ 1 y) (/ (pow z 2) x))))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* y (+ (/ 1 y) (/ (pow z 2) x)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ (- (* -1 x) (* -2 x)) y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (/ (pow x 2) (pow z 2)) (+ (* -1 (/ (pow x 2) (pow z 2))) (* 2 (/ (* x (- (* -1 x) (* -2 x))) (pow z 2))))) y))) (* -2 x)) y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (/ (pow x 3) (pow z 4)) (+ (* 2 (/ (* x (- (/ (pow x 2) (pow z 2)) (+ (* -1 (/ (pow x 2) (pow z 2))) (* 2 (/ (* x (- (* -1 x) (* -2 x))) (pow z 2)))))) (pow z 2))) (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (pow z 4)))) y)) (/ (pow x 2) (pow z 2))) (+ (* -1 (/ (pow x 2) (pow z 2))) (* 2 (/ (* x (- (* -1 x) (* -2 x))) (pow z 2))))) y))) (* -2 x)) y)) (* -1 (pow z 2)))))
(* -1 (* y (- (/ 1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow z 2) (pow (sqrt -1) 2)))))
(* -1 (* y (- (* -1 (/ (pow z 2) x)) (/ 1 y))))
(+ x (* (pow z 2) (- (* -1 y) (* -2 y))))
(+ x (* (pow z 2) (- (+ (* -1 y) (* (pow z 2) (- (* -1 (/ (pow y 2) x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) x)) (/ (pow y 2) x))))) (* -2 y))))
(+ x (* (pow z 2) (- (+ (* -1 y) (* (pow z 2) (- (+ (* -1 (/ (pow y 2) x)) (* (pow z 2) (- (/ (pow y 3) (pow x 2)) (+ (* -2 (/ (* y (- (* -1 (/ (pow y 2) x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) x)) (/ (pow y 2) x)))) x)) (/ (* (pow y 2) (- (* -1 y) (* -2 y))) (pow x 2)))))) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) x)) (/ (pow y 2) x))))) (* -2 y))))
(pow z 2)
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 2) (- (+ y (* -1 (/ x (pow z 2)))) (* -2 (/ x (pow z 2)))))
(* (pow z 2) (- (+ y (+ (* -1 (/ x (pow z 2))) (* -1 (/ (pow x 2) (* y (pow z 4)))))) (+ (* -2 (/ x (pow z 2))) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (* y (pow z 4)))) (/ (pow x 2) (* y (pow z 4)))))))
(* (pow z 2) (- (+ y (+ (* -1 (/ x (pow z 2))) (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (pow x 3) (* (pow y 2) (pow z 6)))))) (+ (* -2 (/ x (pow z 2))) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (* y (pow z 4)))) (+ (* -2 (/ (* x (- (* -1 (/ (pow x 2) y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) y)) (/ (pow x 2) y)))) (* y (pow z 6)))) (+ (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (* (pow y 2) (pow z 6))) (/ (pow x 2) (* y (pow z 4)))))))))
(* -1 (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x)))
(* -1 (* (sqrt y) z))

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((+ (* (/ (* (* z z) y) x) x) x) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (/ (* (* z z) y) x) (* (* z z) y) (+ x (* (* y z) z)) (* (* y z) z) (* y z) (* (neg x) (neg (+ (* (/ (* z z) x) y) 1))) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (neg x) (neg (+ (* (/ (* z z) x) y) 1)) (/ (+ (* (* (* (* z z) y) (* z z)) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) y) (* z z)) y) (* (neg x) x)) (* z z) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (* z y) (/ (* z z) x) (+ (* (/ (* z z) x) y) 1))
4.0ms	y	@	-inf	((+ (* (/ (* (* z z) y) x) x) x) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (/ (* (* z z) y) x) (* (* z z) y) (+ x (* (* y z) z)) (* (* y z) z) (* y z) (* (neg x) (neg (+ (* (/ (* z z) x) y) 1))) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (neg x) (neg (+ (* (/ (* z z) x) y) 1)) (/ (+ (* (* (* (* z z) y) (* z z)) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) y) (* z z)) y) (* (neg x) x)) (* z z) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (* z y) (/ (* z z) x) (+ (* (/ (* z z) x) y) 1))
4.0ms	z	@	inf	((+ (* (/ (* (* z z) y) x) x) x) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (/ (* (* z z) y) x) (* (* z z) y) (+ x (* (* y z) z)) (* (* y z) z) (* y z) (* (neg x) (neg (+ (* (/ (* z z) x) y) 1))) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (neg x) (neg (+ (* (/ (* z z) x) y) 1)) (/ (+ (* (* (* (* z z) y) (* z z)) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) y) (* z z)) y) (* (neg x) x)) (* z z) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (* z y) (/ (* z z) x) (+ (* (/ (* z z) x) y) 1))
4.0ms	z	@	-inf	((+ (* (/ (* (* z z) y) x) x) x) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (/ (* (* z z) y) x) (* (* z z) y) (+ x (* (* y z) z)) (* (* y z) z) (* y z) (* (neg x) (neg (+ (* (/ (* z z) x) y) 1))) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (neg x) (neg (+ (* (/ (* z z) x) y) 1)) (/ (+ (* (* (* (* z z) y) (* z z)) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) y) (* z z)) y) (* (neg x) x)) (* z z) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (* z y) (/ (* z z) x) (+ (* (/ (* z z) x) y) 1))
3.0ms	z	@	0	((+ (* (/ (* (* z z) y) x) x) x) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (/ (* (* z z) y) x) (* (* z z) y) (+ x (* (* y z) z)) (* (* y z) z) (* y z) (* (neg x) (neg (+ (* (/ (* z z) x) y) 1))) (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (neg x) (neg (+ (* (/ (* z z) x) y) 1)) (/ (+ (* (* (* (* z z) y) (* z z)) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) y) (* z z)) y) (* (neg x) x)) (* z z) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (* (* z y) z) (* z y) (/ (* z z) x) (+ (* (/ (* z z) x) y) 1))

simplify144.0ms (3.6%)

Memory

37.9MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	354	1568
1	1148	1376
2	4516	1251
0	8435	1186

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

Calls

Call 1

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

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

rewrite166.0ms (4.2%)

Memory

54.5MiB live, 54.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	269
0	67	266
1	316	223
2	2274	210
0	8446	203

Stop Event

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

Counts

20 → 697

Calls

Call 1

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

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

eval89.0ms (2.2%)

Memory: 53.7MiB live, 53.7MiB allocated
Compiler: Compiled 26 977 to 2 166 computations (92% saved)

prune22.0ms (0.5%)

Memory

26.7MiB live, 26.7MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	663	4	667
Fresh	1	0	1
Picked	3	2	5
Done	0	2	2
Total	667	8	675

Accuracy

100.0%

Counts

675 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(fma.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z) x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	37.9%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) y) (.f64 z z)) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
▶	88.5%	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (fma.f64 (.f64 (/.f64 (.f64 z z) x) y) x x))
▶	94.4%	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (fma.f64 (.f64 (.f64 y z) (/.f64 z x)) x x))
▶	58.6%	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (.f64 (neg.f64 x) #s(approx (neg (+ ( (/ (* z z) x) y) 1)) #s(literal -1 binary64))))
✓	38.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	44.5%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Compiler

Compiled 244 to 105 computations (57% saved)

simplify133.0ms (3.3%)

Memory

34.6MiB live, 34.6MiB allocated

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	1600	(fma.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z) x)
cost-diff	0	(/.f64 (*.f64 z z) x)
cost-diff	0	(.f64 (/.f64 (.f64 z z) x) y)
cost-diff	0	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (fma.f64 (.f64 (/.f64 (.f64 z z) x) y) x x))
cost-diff	1024	(fma.f64 (.f64 (/.f64 (.f64 z z) x) y) x x)
cost-diff	0	(*.f64 y z)
cost-diff	0	(.f64 (.f64 y z) (/.f64 z x))
cost-diff	0	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (fma.f64 (.f64 (.f64 y z) (/.f64 z x)) x x))
cost-diff	1024	(fma.f64 (.f64 (.f64 y z) (/.f64 z x)) x x)
cost-diff	0	#s(approx (neg (+ (* (/ (* z z) x) y) 1)) #s(literal -1 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(.f64 (neg.f64 x) #s(approx (neg (+ ( (/ (* z z) x) y) 1)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (.f64 (neg.f64 x) #s(approx (neg (+ ( (/ (* z z) x) y) 1)) #s(literal -1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	283
0	54	283
1	126	280
2	365	203
3	1892	181
4	6874	181
0	8109	176

Stop Event

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

Calls

Call 1

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

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

localize83.0ms (2.1%)

Memory

31.4MiB live, 31.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 y)
accuracy	0.06478500976844202	(fma.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z) x)
accuracy	0.109375	(*.f64 (sqrt.f64 y) z)
accuracy	0	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (fma.f64 (.f64 (/.f64 (.f64 z z) x) y) x x))
accuracy	1.636370532900899	(fma.f64 (.f64 (/.f64 (.f64 z z) x) y) x x)
accuracy	4.277922425131968	(.f64 (/.f64 (.f64 z z) x) y)
accuracy	4.753844107071708	(/.f64 (*.f64 z z) x)
accuracy	0	(*.f64 y z)
accuracy	0	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (fma.f64 (.f64 (.f64 y z) (/.f64 z x)) x x))
accuracy	1.636370532900899	(fma.f64 (.f64 (.f64 y z) (/.f64 z x)) x x)
accuracy	1.7054322733567315	(.f64 (.f64 y z) (/.f64 z x))
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (.f64 (neg.f64 x) #s(approx (neg (+ ( (/ (* z z) x) y) 1)) #s(literal -1 binary64))))
accuracy	1.640276782900899	(.f64 (neg.f64 x) #s(approx (neg (+ ( (/ (* z z) x) y) 1)) #s(literal -1 binary64)))
accuracy	15.174782410796528	#s(approx (neg (+ (* (/ (* z z) x) y) 1)) #s(literal -1 binary64))

Samples

31.0ms	131×	0	valid
30.0ms	125×	0	invalid

Compiler

Compiled 529 to 73 computations (86.2% saved)

Precisions

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

ival-mult: 21.0ms (48.2% of total)

ival-div: 7.0ms (16.1% of total)

ival-add: 5.0ms (11.5% of total)

ival-sub: 3.0ms (6.9% of total)

ival-pow2: 3.0ms (6.9% of total)

ival-sqrt: 2.0ms (4.6% of total)

ival-neg: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.5%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

15 → 46

Calls

Call 1

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

Outputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(* -1 x)
(* -1 (/ (* y (pow z 2)) x))
(/ (- (* -1 x) (* y (pow z 2))) x)
(/ (* y (pow z 2)) x)
(/ (pow z 2) x)
x
(* x (- (+ 1 (* -1 (/ (* y (pow z 2)) x))) (* -2 (/ (* y (pow z 2)) x))))
(* x (- (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))))) (+ (* -2 (/ (* y (* (pow z 2) (- (* -1 (* y (pow z 2))) (* -2 (* y (pow z 2)))))) (pow x 2))) (+ (* -2 (/ (* y (pow z 2)) x)) (/ (* (pow y 2) (pow z 4)) (pow x 2))))))
(* x (- (+ 1 (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* (pow y 3) (pow z 6)) (pow x 3))))) (+ (* -2 (/ (* y (* (pow z 2) (- (* -1 (* y (pow z 2))) (* -2 (* y (pow z 2)))))) (pow x 2))) (+ (* -2 (/ (* y (* (pow z 2) (- (* -1 (* (pow y 2) (pow z 4))) (+ (* -2 (* y (* (pow z 2) (- (* -1 (* y (pow z 2))) (* -2 (* y (pow z 2))))))) (* (pow y 2) (pow z 4)))))) (pow x 3))) (+ (* -2 (/ (* y (pow z 2)) x)) (+ (/ (* (pow y 2) (* (pow z 4) (- (* -1 (* y (pow z 2))) (* -2 (* y (pow z 2)))))) (pow x 3)) (/ (* (pow y 2) (pow z 4)) (pow x 2))))))))
(* x (+ 1 (/ (* y (pow z 2)) x)))
-1
(- (* -1 (/ (* y (pow z 2)) x)) 1)
(* -1 (* x (- (/ (* y (pow z 2)) x) (+ 1 (* 2 (/ (* y (pow z 2)) x))))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (* y (pow z 2)) (* 2 (* y (pow z 2))))) (* -1 (/ (* (pow y 2) (pow z 4)) x))) (+ (* 2 (/ (* y (* (pow z 2) (- (* y (pow z 2)) (* 2 (* y (pow z 2)))))) x)) (/ (* (pow y 2) (pow z 4)) x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (* y (pow z 2)) (* 2 (* y (pow z 2))))) (* -1 (/ (- (+ (* -1 (- (* -1 (* (pow y 2) (pow z 4))) (+ (* 2 (* y (* (pow z 2) (- (* y (pow z 2)) (* 2 (* y (pow z 2))))))) (* (pow y 2) (pow z 4))))) (* -1 (/ (* (pow y 3) (pow z 6)) x))) (+ (* 2 (/ (* y (* (pow z 2) (- (* -1 (* (pow y 2) (pow z 4))) (+ (* 2 (* y (* (pow z 2) (- (* y (pow z 2)) (* 2 (* y (pow z 2))))))) (* (pow y 2) (pow z 4)))))) x)) (/ (* (pow y 2) (* (pow z 4) (- (* y (pow z 2)) (* 2 (* y (pow z 2)))))) x))) x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(+ x (* y (- (* -1 (pow z 2)) (* -2 (pow z 2)))))
(+ x (* y (- (+ (* -1 (pow z 2)) (* y (- (* -1 (/ (pow z 4) x)) (+ (* -2 (/ (* (pow z 2) (- (* -1 (pow z 2)) (* -2 (pow z 2)))) x)) (/ (pow z 4) x))))) (* -2 (pow z 2)))))
(+ x (* y (- (+ (* -1 (pow z 2)) (* y (- (+ (* -1 (/ (pow z 4) x)) (* y (- (/ (pow z 6) (pow x 2)) (+ (* -2 (/ (* (pow z 2) (- (* -1 (/ (pow z 4) x)) (+ (* -2 (/ (* (pow z 2) (- (* -1 (pow z 2)) (* -2 (pow z 2)))) x)) (/ (pow z 4) x)))) x)) (/ (* (pow z 4) (- (* -1 (pow z 2)) (* -2 (pow z 2)))) (pow x 2)))))) (+ (* -2 (/ (* (pow z 2) (- (* -1 (pow z 2)) (* -2 (pow z 2)))) x)) (/ (pow z 4) x))))) (* -2 (pow z 2)))))
(* y z)
(* (sqrt y) z)
(sqrt y)
(* y (- (+ (* -1 (/ x y)) (pow z 2)) (* -2 (/ x y))))
(* y (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (pow z 2))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (* (pow y 2) (pow z 2)))) (/ (pow x 2) (* (pow y 2) (pow z 2)))))))
(* y (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (+ (/ (pow x 3) (* (pow y 3) (pow z 4))) (pow z 2)))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (* (pow y 2) (pow z 2)))) (+ (* -2 (/ (* x (- (* -1 (/ (pow x 2) (pow z 2))) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (pow z 2))) (/ (pow x 2) (pow z 2))))) (* (pow y 3) (pow z 2)))) (+ (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (* (pow y 3) (pow z 4))) (/ (pow x 2) (* (pow y 2) (pow z 2)))))))))
(* y (+ (/ x y) (pow z 2)))
(* -1 (* y (+ (/ 1 y) (/ (pow z 2) x))))
(* -1 (* y (+ (* -1 (/ (- (* -1 x) (* -2 x)) y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (/ (pow x 2) (pow z 2)) (+ (* -1 (/ (pow x 2) (pow z 2))) (* 2 (/ (* x (- (* -1 x) (* -2 x))) (pow z 2))))) y))) (* -2 x)) y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (/ (pow x 3) (pow z 4)) (+ (* 2 (/ (* x (- (/ (pow x 2) (pow z 2)) (+ (* -1 (/ (pow x 2) (pow z 2))) (* 2 (/ (* x (- (* -1 x) (* -2 x))) (pow z 2)))))) (pow z 2))) (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (pow z 4)))) y)) (/ (pow x 2) (pow z 2))) (+ (* -1 (/ (pow x 2) (pow z 2))) (* 2 (/ (* x (- (* -1 x) (* -2 x))) (pow z 2))))) y))) (* -2 x)) y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* y (- (/ 1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow z 2) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(+ x (* (pow z 2) (- (* -1 y) (* -2 y))))
(+ x (* (pow z 2) (- (+ (* -1 y) (* (pow z 2) (- (* -1 (/ (pow y 2) x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) x)) (/ (pow y 2) x))))) (* -2 y))))
(+ x (* (pow z 2) (- (+ (* -1 y) (* (pow z 2) (- (+ (* -1 (/ (pow y 2) x)) (* (pow z 2) (- (/ (pow y 3) (pow x 2)) (+ (* -2 (/ (* y (- (* -1 (/ (pow y 2) x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) x)) (/ (pow y 2) x)))) x)) (/ (* (pow y 2) (- (* -1 y) (* -2 y))) (pow x 2)))))) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) x)) (/ (pow y 2) x))))) (* -2 y))))
(* (pow z 2) (- (+ y (* -1 (/ x (pow z 2)))) (* -2 (/ x (pow z 2)))))
(* (pow z 2) (- (+ y (+ (* -1 (/ x (pow z 2))) (* -1 (/ (pow x 2) (* y (pow z 4)))))) (+ (* -2 (/ x (pow z 2))) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (* y (pow z 4)))) (/ (pow x 2) (* y (pow z 4)))))))
(* (pow z 2) (- (+ y (+ (* -1 (/ x (pow z 2))) (+ (* -1 (/ (pow x 2) (* y (pow z 4)))) (/ (pow x 3) (* (pow y 2) (pow z 6)))))) (+ (* -2 (/ x (pow z 2))) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (* y (pow z 4)))) (+ (* -2 (/ (* x (- (* -1 (/ (pow x 2) y)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) y)) (/ (pow x 2) y)))) (* y (pow z 6)))) (+ (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (* (pow y 2) (pow z 6))) (/ (pow x 2) (* y (pow z 4)))))))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* -1 (* (pow z 2) (+ (/ 1 (pow z 2)) (/ y x))))

Calls

9 calls:

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

simplify143.0ms (3.6%)

Memory

38.5MiB live, 38.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	1543
1	1105	1265
2	4406	1131
0	8544	1071

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

Calls

Call 1

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

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

rewrite164.0ms (4.1%)

Memory

51.3MiB live, 51.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	266
0	54	264
1	233	236
2	1762	223
0	8687	218

Stop Event

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

Counts

15 → 297

Calls

Call 1

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

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

eval37.0ms (0.9%)

Memory: 22.8MiB live, 22.8MiB allocated
Compiler: Compiled 13 541 to 1 002 computations (92.6% saved)

prune23.0ms (0.6%)

Memory

20.2MiB live, 20.2MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	267	1	268
Fresh	0	0	0
Picked	0	4	4
Done	1	3	4
Total	268	8	276

Accuracy

100.0%

Counts

276 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(fma.f64 (.f64 (sqrt.f64 y) z) (.f64 (sqrt.f64 y) z) x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
	94.7%	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (fma.f64 (/.f64 (*.f64 y z) (/.f64 x z)) x x))
✓	88.5%	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (fma.f64 (.f64 (/.f64 (.f64 z z) x) y) x x))
✓	94.4%	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (fma.f64 (.f64 (.f64 y z) (/.f64 z x)) x x))
✓	58.6%	#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (.f64 (neg.f64 x) #s(approx (neg (+ ( (/ (* z z) x) y) 1)) #s(literal -1 binary64))))
✓	38.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	44.5%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Compiler

Compiled 831 to 201 computations (75.8% saved)

regimes30.0ms (0.8%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	z
6.0ms	y
6.0ms	x
6.0ms	(+.f64 x (.f64 (.f64 y z) z))
5.0ms	(.f64 (.f64 y z) z)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`z`
99.9%	1	`(+.f64 x (.f64 (.f64 y z) z))`
99.9%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes12.0ms (0.3%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
66.4%	3	`x`
60.4%	2	`y`
89.7%	2	`z`
82.2%	3	`(+.f64 x (.f64 (.f64 y z) z))`
90.2%	3	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes9.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
58.6%	1	`y`
58.6%	1	`x`
58.6%	1	`(+.f64 x (.f64 (.f64 y z) z))`
58.6%	1	`(.f64 (.f64 y z) z)`
58.6%	1	`z`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

bsearch12.0ms (0.3%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	40240897703474.8	401766034275444900.0

Samples

6.0ms

128×

valid

Compiler

Compiled 618 to 300 computations (51.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (76.8% of total)

ival-add: 1.0ms (38.4% of total)

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

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

simplify28.0ms (0.7%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	149
1	46	149
2	54	149
3	61	149
4	64	149
5	65	149

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 (*.f64 z y) z x)

(if (<=.f64 z #s(literal 2600000000000000 binary64)) #s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (*.f64 (neg.f64 x) #s(approx (neg (+ (* (/ (* z z) x) y) 1)) #s(literal -1 binary64)))) #s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 y z) z)))

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

Outputs
(fma.f64 (*.f64 z y) z x)
(fma.f64 (*.f64 y z) z x)
(if (<=.f64 z #s(literal 2600000000000000 binary64)) #s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (.f64 (neg.f64 x) #s(approx (neg (+ ( (/ (* z z) x) y) 1)) #s(literal -1 binary64)))) #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)))
(if (<=.f64 z #s(literal 2600000000000000 binary64)) #s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (.f64 #s(approx (neg (+ ( (/ (* z z) x) y) 1)) #s(literal -1 binary64)) (neg.f64 x))) #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)))
#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (.f64 (neg.f64 x) #s(approx (neg (+ ( (/ (* z z) x) y) 1)) #s(literal -1 binary64))))
#s(approx (/ (- (- x (* (* z y) z)) (* (/ (- x (* (* z y) z)) (* x x)) (pow (* (* z y) z) 2))) (* (/ (- x (* (* z y) z)) (* x x)) (- x (* (* z y) z)))) (.f64 #s(approx (neg (+ ( (/ (* z z) x) y) 1)) #s(literal -1 binary64)) (neg.f64 x)))

soundness659.0ms (16.6%)

Memory

4.6MiB live, 4.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	51
1	87	51
2	237	51
3	702	51
4	2114	51
5	4251	51
6	6946	51
0	8062	45
0	6	15
0	9	15
1	27	15
2	179	15
3	1772	15
0	8545	14
0	33	237
0	58	222
1	233	214
2	1915	210
0	8782	209
0	354	1568
1	1148	1376
2	4516	1251
0	8435	1186
0	611	3005
1	1969	2756
2	7060	2744
0	8160	2634

Stop Event

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

Compiler

Compiled 304 to 112 computations (63.2% saved)

preprocess31.0ms (0.8%)

Memory: 15.7MiB live, 15.7MiB allocated
Remove: (abs z)
Compiler: Compiled 348 to 112 computations (67.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample548.0ms (13.8%)

explain93.0ms (2.3%)

preprocess29.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.5%)

series8.0ms (0.2%)

simplify77.0ms (2%)

rewrite173.0ms (4.3%)

eval21.0ms (0.5%)

prune9.0ms (0.2%)

simplify143.0ms (3.6%)

localize102.0ms (2.6%)

series54.0ms (1.4%)

simplify169.0ms (4.2%)

rewrite219.0ms (5.5%)

eval159.0ms (4%)

prune38.0ms (0.9%)

simplify160.0ms (4%)

localize104.0ms (2.6%)

series37.0ms (0.9%)

simplify144.0ms (3.6%)

rewrite166.0ms (4.2%)

eval89.0ms (2.2%)

prune22.0ms (0.5%)

simplify133.0ms (3.3%)

localize83.0ms (2.1%)

series22.0ms (0.5%)

simplify143.0ms (3.6%)

rewrite164.0ms (4.1%)

eval37.0ms (0.9%)

prune23.0ms (0.6%)

regimes30.0ms (0.8%)

regimes12.0ms (0.3%)

regimes9.0ms (0.2%)

bsearch12.0ms (0.3%)

simplify28.0ms (0.7%)

soundness659.0ms (16.6%)

preprocess31.0ms (0.8%)

end0.0ms (0%)

Profiling