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

0.5MiB live, 0.5MiB 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)

sample917.0ms (15.9%)

Memory

23.0MiB live, 774.9MiB allocated

Samples

550.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-add: 136.0ms (52.4% of total)

ival-mult: 114.0ms (43.9% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain161.0ms (2.8%)

Memory

11.4MiB live, 87.6MiB 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

23.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-mult: 7.0ms (72.5% of total)

ival-add: 2.0ms (20.7% of total)

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

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

preprocess49.0ms (0.8%)

Memory

-17.1MiB live, 34.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	79	64
2	183	64
3	452	64
4	876	64
5	1140	64
6	1170	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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%)

Memory

3.8MiB live, 3.8MiB 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

localize33.0ms (0.6%)

Memory

0.7MiB live, 37.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x (.f64 (.f64 y z) z))
accuracy	0.0	(*.f64 y z)
accuracy	0.1328125	(.f64 (.f64 y z) z)

Samples

29.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 19.0ms (85.2% of total)

ival-add: 3.0ms (13.5% of total)

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

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

series37.0ms (0.6%)

Memory

-19.3MiB live, 19.2MiB 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
31.0ms	y	@	0	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
1.0ms	z	@	-inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))
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	z	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z))

simplify128.0ms (2.2%)

Memory

-0.2MiB live, 82.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	51
1	87	51
2	241	51
3	716	51
4	2180	51
5	4432	51
6	7156	51
0	8234	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)

rewrite249.0ms (4.3%)

Memory

8.0MiB live, 199.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	27	15
2	179	15
3	1792	15
0	8600	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))
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(fma.f64 (pow.f64 y #s(literal 1 binary64)) (*.f64 z z) x)
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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)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 z y) z) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 z y) z) x)))
(-.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)

eval20.0ms (0.3%)

Memory: 3.0MiB live, 37.7MiB allocated
Compiler: Compiled 5 924 to 493 computations (91.7% saved)

prune5.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	169	6	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	170	6	176

Accuracy

100.0%

Counts

176 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.2%	(fma.f64 (*.f64 z z) y x)
▶	99.9%	(fma.f64 (*.f64 z y) z x)
▶	33.2%	(/.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))
	55.5%	(.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)))
▶	33.1%	(.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))))
▶	46.5%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 176 to 118 computations (33% saved)

simplify84.0ms (1.5%)

Memory

-4.6MiB live, 34.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
cost-diff	128	(neg.f64 (-.f64 (.f64 (.f64 z y) z) x))
cost-diff	128	(neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x)))
cost-diff	320	(.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))))
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	(fma.f64 (*.f64 z z) y 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: 2 (0.0ms)

Iter	Nodes	Cost
0	26	208
0	44	203
1	79	201
2	167	200
3	544	200
4	1613	200
5	3254	200
6	3696	200
7	3745	200
8	3751	200
9	3751	200
10	3759	200
11	3791	200
12	3830	200
13	3830	200
0	3830	200

Stop Event

1×	iter limit
1×	saturated
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
(fma.f64 (*.f64 z z) y x)
(*.f64 z z)
z
y
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))
(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 (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))))
(neg.f64 (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) 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 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (.f64 z y) z) x)))
#s(literal 1 binary64)
(neg.f64 (-.f64 (.f64 (.f64 z y) z) x))
(-.f64 (.f64 (.f64 z y) z) x)
(.f64 (.f64 z y) z)
(*.f64 z y)

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

localize101.0ms (1.8%)

Memory

-28.9MiB live, 99.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.40313432745175803	(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (.f64 z y) z) x)))
accuracy	3.4901268459281747	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
accuracy	8.46986247038596	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
accuracy	37.126499769469675	(.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))))
accuracy	0.1328125	(.f64 (.f64 z y) z)
accuracy	3.4901268459281747	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
accuracy	8.46986247038596	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
accuracy	37.72024770529988	(/.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	0.0	(*.f64 z z)
accuracy	5.649656878147105	(fma.f64 (*.f64 z z) y x)
accuracy	0.0	(*.f64 z z)
accuracy	8.38734482353538	(.f64 (.f64 z z) y)
accuracy	29.34115283394631	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
accuracy	0.0	(*.f64 z y)
accuracy	0.06640625	(fma.f64 (*.f64 z y) z x)

Samples

52.0ms

256×

valid

Compiler

Compiled 419 to 54 computations (87.1% saved)

Precisions

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

ival-mult: 15.0ms (51.4% of total)

ival-add: 4.0ms (13.7% of total)

ival-div: 3.0ms (10.3% of total)

ival-neg: 3.0ms (10.3% of total)

ival-pow: 3.0ms (10.3% of total)

ival-sub: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory

26.7MiB live, 63.4MiB allocated

Counts

15 → 58

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ (+ (* (* (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) (* (neg (+ (* (* (pow z 4) y) y) (* (neg x) x))) (/ 1 (neg (- (* (* z y) z) x)))) (neg (+ (* (* (pow z 4) y) y) (* (neg x) x))) (neg (- (* (* z y) z) x)) (* (* z y) z) (/ 1 (neg (- (* (* z y) z) x))))
5.0ms	z	@	0	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ (+ (* (* (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) (* (neg (+ (* (* (pow z 4) y) y) (* (neg x) x))) (/ 1 (neg (- (* (* z y) z) x)))) (neg (+ (* (* (pow z 4) y) y) (* (neg x) x))) (neg (- (* (* z y) z) x)) (* (* z y) z) (/ 1 (neg (- (* (* z y) z) x))))
3.0ms	y	@	-inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ (+ (* (* (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) (* (neg (+ (* (* (pow z 4) y) y) (* (neg x) x))) (/ 1 (neg (- (* (* z y) z) x)))) (neg (+ (* (* (pow z 4) y) y) (* (neg x) x))) (neg (- (* (* z y) z) x)) (* (* z y) z) (/ 1 (neg (- (* (* z y) z) x))))
3.0ms	x	@	-inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ (+ (* (* (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) (* (neg (+ (* (* (pow z 4) y) y) (* (neg x) x))) (/ 1 (neg (- (* (* z y) z) x)))) (neg (+ (* (* (pow z 4) y) y) (* (neg x) x))) (neg (- (* (* z y) z) x)) (* (* z y) z) (/ 1 (neg (- (* (* z y) z) x))))
3.0ms	y	@	inf	((+ (* (* z y) z) x) (* z y) (+ x (* (* y z) z)) (* (* z z) y) (* z z) (+ (* (* z z) y) x) (/ (+ (* (* (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) (* (neg (+ (* (* (pow z 4) y) y) (* (neg x) x))) (/ 1 (neg (- (* (* z y) z) x)))) (neg (+ (* (* (pow z 4) y) y) (* (neg x) x))) (neg (- (* (* z y) z) x)) (* (* z y) z) (/ 1 (neg (- (* (* z y) z) x))))

simplify193.0ms (3.3%)

Memory

-25.3MiB live, 214.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	225	947
1	685	914
2	2107	874
3	7774	874
0	8340	842

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

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

rewrite227.0ms (3.9%)

Memory

37.2MiB live, 390.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	132
0	44	101
1	153	98
2	958	98
0	8621	98

Stop Event

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

Counts

15 → 1 686

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

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

eval448.0ms (7.8%)

Memory: -47.6MiB live, 239.8MiB allocated
Compiler: Compiled 34 380 to 2 813 computations (91.8% saved)

prune21.0ms (0.4%)

Memory

-10.8MiB live, 65.9MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 039	3	1 042
Fresh	0	1	1
Picked	2	3	5
Done	0	0	0
Total	1 041	7	1 048

Accuracy

100.0%

Counts

1 048 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.8%	(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 x x) (-.f64 x (.f64 (*.f64 z z) y))))
✓	91.2%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	33.2%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
▶	55.5%	(.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)))
✓	46.5%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	54.1%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Compiler

Compiled 110 to 68 computations (38.2% saved)

simplify113.0ms (2%)

Memory

-2.0MiB live, 156.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 z #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
cost-diff	704	(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64))
cost-diff	9856	(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 x x) (-.f64 x (.f64 (*.f64 z z) y))))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
cost-diff	0	(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
cost-diff	8448	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
cost-diff	0	(fma.f64 (*.f64 z y) z x)
cost-diff	0	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
cost-diff	0	(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
cost-diff	26880	(.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)))
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))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	252
0	65	207
1	119	195
2	192	183
3	314	183
4	740	183
5	2063	183
6	4528	183
7	7580	183
0	8027	183

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (2.1%)

Memory

17.6MiB live, 140.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	3.7958293011508357	(fma.f64 (*.f64 z z) y (neg.f64 x))
accuracy	5.219835365127124	(.f64 (.f64 z z) y)
accuracy	11.928822845460708	(/.f64 (.f64 x x) (-.f64 x (.f64 (*.f64 z z) y)))
accuracy	12.301072867735336	(fma.f64 (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64)) (/.f64 y (fma.f64 (.f64 z z) y (neg.f64 x))) (/.f64 (.f64 x x) (-.f64 x (.f64 (*.f64 z z) y))))
accuracy	0.09375	(.f64 (.f64 z y) z)
accuracy	1.5830193327248046	(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
accuracy	3.9150863741925677	(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
accuracy	19.775103726135093	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
accuracy	0.05859375	(fma.f64 (*.f64 z y) z x)
accuracy	0.217128759768442	(.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)))
accuracy	0.23063574936320133	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
accuracy	4.6785012916794475	(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
accuracy	0.0	(*.f64 y z)
accuracy	0.09375	(.f64 (.f64 y z) z)
accuracy	17.205195247295865	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Samples

50.0ms	113×	0	invalid
38.0ms	143×	0	valid

Compiler

Compiled 511 to 75 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 20.0ms (41.7% of total)

ival-pow: 10.0ms (20.8% of total)

ival-add: 8.0ms (16.7% of total)

ival-div: 6.0ms (12.5% of total)

ival-sub: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

series36.0ms (0.6%)

Memory

5.8MiB live, 81.8MiB allocated

Counts

19 → 116

Calls

Call 1

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

Outputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(* (sqrt y) z)
(+ (* 1/2 (* (/ x z) (sqrt (/ 1 y)))) (* (sqrt y) z))
(+ (* x (+ (* -1/8 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))))) (* (sqrt y) z))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 1/16 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) z))
(/ 1 (* y (pow z 2)))
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
(+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(* (pow y 2) (pow z 4))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(* -1 (/ (pow x 2) (* y (pow z 2))))
(* (pow x 2) (- (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2)))))
(* (pow x 2) (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 6)))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(+ (* -1 x) (* y (pow z 2)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow z 6)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))) x)
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 3) (pow z 6))) (* (pow y 3) (pow z 6))) (pow x 3)))) (* -1 (/ (* y (pow z 2)) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 4) (pow z 8))) (* (pow y 4) (pow z 8))) (pow x 4)))) (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (/ (* (pow y 3) (pow z 6)) (pow x 3))))))
(* 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)) (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))))))
(* -1 x)
(* x (- (/ (* y (pow z 2)) x) 1))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (pow z 4)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (pow z 4)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (pow y 3) (pow z 6)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (/ (- (/ (* y (pow z 2)) x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* y (pow z 2))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1) x))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 4))) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* -1 (* y (pow z 2)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 6)) x)) (* (pow y 2) (pow z 4))) x)) (* -1 (* y (pow z 2)))) x)) 1)))
(* -1 (* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))))
(* y z)
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) (* y (pow z 2)))))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 4)))) (* 1/2 (* (sqrt (/ 1 x)) (pow z 2))))))
(+ (sqrt x) (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (pow z 2))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow z 4))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (* y (pow z 6)))))))))
(+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))
(+ (* y (- (/ (* 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))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(* y (pow z 4))
(+ x (* y (- (* -1 (* (pow y 2) (+ (* -1 (/ (pow z 6) (pow x 2))) (/ (pow z 6) (pow x 2))))) (* -1 (pow z 2)))))
(+ x (* y (- (* (pow y 2) (- (* -1 (* y (+ (* -1 (/ (pow z 8) (pow x 3))) (/ (pow z 8) (pow x 3))))) (+ (* -1 (/ (pow z 6) (pow x 2))) (/ (pow z 6) (pow x 2))))) (* -1 (pow z 2)))))
(+ x (* y (- (/ (* y (pow z 4)) x) (* -1 (pow z 2)))))
(+ x (* y (- (* y (- (/ (* y (pow z 6)) (pow x 2)) (* -1 (/ (pow z 4) x)))) (* -1 (pow z 2)))))
(- (* y (pow z 2)) x)
(* y (+ (/ x y) (pow z 2)))
(* y (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z)))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow z 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow z 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z)))))
(/ (+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y)
(/ (- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4)))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 8)))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4))))) y)
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* y (- (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (pow z 4))) (/ (pow x 3) (pow z 4))) (pow y 3))) (pow z 2)) (* -1 (/ x y))))
(* y (- (+ (* -1 (/ (+ (* -1 (/ (pow x 4) (pow z 6))) (/ (pow x 4) (pow z 6))) (pow y 4))) (pow z 2)) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (/ (pow x 3) (* (pow y 3) (pow z 4)))))))
(/ (+ (* -1 (/ (pow x 2) (pow z 2))) (* -1 (/ (pow x 3) (* y (pow z 4))))) y)
(/ (- (+ (* -1 (/ (pow x 2) (pow z 2))) (* -1 (/ (pow x 4) (* (pow y 2) (pow z 6))))) (/ (pow x 3) (* y (pow z 4)))) y)
(/ (- (+ (* -1 (/ (pow x 2) (pow z 2))) (* -1 (/ (pow x 5) (* (pow y 3) (pow z 8))))) (+ (/ (pow x 3) (* y (pow z 4))) (/ (pow x 4) (* (pow y 2) (pow z 6))))) y)
(* y (+ (* -1 (/ x y)) (pow z 2)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* y (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2)))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (* (pow z 5) (pow (sqrt -1) 4))) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))))))))
(* -1 (/ (- (/ x (* y (pow z 4))) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (/ (pow x 2) (pow z 6))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow x 3) (pow z 4))) (/ (pow x 3) (pow z 4))) (pow y 2))) (* -1 x)) y)) (* -1 (pow z 2)))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ (pow x 4) (* (pow y 3) (pow z 6)))) (/ (pow x 4) (* (pow y 3) (pow z 6)))) (+ (* -1 x) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 4)))) (/ (pow x 3) (* (pow y 2) (pow z 4)))))) y)) (* -1 (pow z 2)))))
(* -1 (/ (+ (/ (pow x 2) (pow z 2)) (/ (pow x 3) (* y (pow z 4)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) (* y (pow z 6)))) (/ (pow x 3) (pow z 4))) y)) (/ (pow x 2) (pow z 2))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) (* y (pow z 8))) (* -1 (/ (pow x 4) (pow z 6)))) y)) (/ (pow x 3) (pow z 4))) y)) (/ (pow x 2) (pow z 2))) y))
(* -1 (* y (+ (* -1 (pow z 2)) (/ x y))))
(+ (sqrt x) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 x)) y)))))
(+ (sqrt x) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 x)) y)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow y 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (* (pow y 3) (pow z 2)))))))))
(+ (* (pow z 2) (- (/ (* (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))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x))
(pow z 2)
(+ x (* (pow z 2) (- (* -1 (* (pow z 4) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 3) (pow x 2))))) (* -1 y))))
(+ x (* (pow z 2) (- (* (pow z 4) (- (* -1 (* (pow z 2) (+ (* -1 (/ (pow y 4) (pow x 3))) (/ (pow y 4) (pow x 3))))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 3) (pow x 2))))) (* -1 y))))
(pow z 4)
(+ x (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) x) (* -1 y))))
(+ x (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow y 3) (pow z 2)) (pow x 2)) (* -1 (/ (pow y 2) x)))) (* -1 y))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 3) (pow y 2))) (pow z 6)))) (* -1 (/ x (pow z 2)))))
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 4) (pow y 3))) (/ (pow x 4) (pow y 3))) (pow z 8)))) (+ (* -1 (/ x (pow z 2))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 6)))) (/ (pow x 3) (* (pow y 2) (pow z 6)))))))
(/ (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2))))) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4))))) (/ (pow x 3) (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 5) (* (pow y 4) (pow z 6))))) (+ (/ (pow x 3) (* (pow y 2) (pow z 2))) (/ (pow x 4) (* (pow y 3) (pow z 4))))) (pow z 2))
(* (pow z 2) (+ y (* -1 (/ x (pow z 2)))))
(* -1 (* (sqrt y) z))
(* -1 (* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((+ x (* (* y z) z)) (* (* y z) z) (* y z) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (+ (* (* z y) z) x) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (+ (* (/ (* (pow z 4) y) 1) (/ y (+ (* (* z z) y) (neg x)))) (/ (* x x) (- x (* (* z z) y)))) (/ (* (pow z 4) y) 1) (* (pow z 4) y) (pow z 4) (* (* z y) z) (/ (* x x) (- x (* (* z z) y))) (* (* z z) y) (+ (* (* z z) y) (neg x)))
5.0ms	y	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (+ (* (* z y) z) x) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (+ (* (/ (* (pow z 4) y) 1) (/ y (+ (* (* z z) y) (neg x)))) (/ (* x x) (- x (* (* z z) y)))) (/ (* (pow z 4) y) 1) (* (pow z 4) y) (pow z 4) (* (* z y) z) (/ (* x x) (- x (* (* z z) y))) (* (* z z) y) (+ (* (* z z) y) (neg x)))
4.0ms	y	@	-inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (+ (* (* z y) z) x) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (+ (* (/ (* (pow z 4) y) 1) (/ y (+ (* (* z z) y) (neg x)))) (/ (* x x) (- x (* (* z z) y)))) (/ (* (pow z 4) y) 1) (* (pow z 4) y) (pow z 4) (* (* z y) z) (/ (* x x) (- x (* (* z z) y))) (* (* z z) y) (+ (* (* z z) y) (neg x)))
4.0ms	z	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (+ (* (* z y) z) x) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (+ (* (/ (* (pow z 4) y) 1) (/ y (+ (* (* z z) y) (neg x)))) (/ (* x x) (- x (* (* z z) y)))) (/ (* (pow z 4) y) 1) (* (pow z 4) y) (pow z 4) (* (* z y) z) (/ (* x x) (- x (* (* z z) y))) (* (* z z) y) (+ (* (* z z) y) (neg x)))
3.0ms	x	@	inf	((+ x (* (* y z) z)) (* (* y z) z) (* y z) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (+ (* (* z y) z) x) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (* z z) (+ (* (/ (* (pow z 4) y) 1) (/ y (+ (* (* z z) y) (neg x)))) (/ (* x x) (- x (* (* z z) y)))) (/ (* (pow z 4) y) 1) (* (pow z 4) y) (pow z 4) (* (* z y) z) (/ (* x x) (- x (* (* z z) y))) (* (* z z) y) (+ (* (* z z) y) (neg x)))

simplify190.0ms (3.3%)

Memory

-7.8MiB live, 120.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	638	2817
1	2028	2577
2	7193	2567
0	8090	2457

Stop Event

1×	iter limit
1×	node limit

Counts

116 → 115

Calls

Call 1

Inputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(* (sqrt y) z)
(+ (* 1/2 (* (/ x z) (sqrt (/ 1 y)))) (* (sqrt y) z))
(+ (* x (+ (* -1/8 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))))) (* (sqrt y) z))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 1/16 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) z))
(/ 1 (* y (pow z 2)))
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
(+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(* (pow y 2) (pow z 4))
(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
(* -1 (/ (pow x 2) (* y (pow z 2))))
(* (pow x 2) (- (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2)))))
(* (pow x 2) (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 6)))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(+ (* -1 x) (* y (pow z 2)))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow z 6)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))) x)
(* -1 (pow x 2))
(* (pow x 2) (- (/ (* (pow y 2) (pow z 4)) (pow x 2)) 1))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 3) (pow z 6))) (* (pow y 3) (pow z 6))) (pow x 3)))) (* -1 (/ (* y (pow z 2)) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 4) (pow z 8))) (* (pow y 4) (pow z 8))) (pow x 4)))) (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (/ (* (pow y 3) (pow z 6)) (pow x 3))))))
(* 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)) (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))))))
(* -1 x)
(* x (- (/ (* y (pow z 2)) x) 1))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (pow z 4)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (pow z 4)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (pow y 3) (pow z 6)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (/ (- (/ (* y (pow z 2)) x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* y (pow z 2))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1) x))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 4))) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* -1 (* y (pow z 2)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 6)) x)) (* (pow y 2) (pow z 4))) x)) (* -1 (* y (pow z 2)))) x)) 1)))
(* -1 (* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))))
(* y z)
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) (* y (pow z 2)))))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 4)))) (* 1/2 (* (sqrt (/ 1 x)) (pow z 2))))))
(+ (sqrt x) (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (pow z 2))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow z 4))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (* y (pow z 6)))))))))
(+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x))
(+ (* y (- (/ (* 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))) (* -1 (/ (pow z 4) (pow x 3))))) (/ (pow z 2) (pow x 2)))) (/ 1 x))
(* y (pow z 4))
(+ x (* y (- (* -1 (* (pow y 2) (+ (* -1 (/ (pow z 6) (pow x 2))) (/ (pow z 6) (pow x 2))))) (* -1 (pow z 2)))))
(+ x (* y (- (* (pow y 2) (- (* -1 (* y (+ (* -1 (/ (pow z 8) (pow x 3))) (/ (pow z 8) (pow x 3))))) (+ (* -1 (/ (pow z 6) (pow x 2))) (/ (pow z 6) (pow x 2))))) (* -1 (pow z 2)))))
(+ x (* y (- (/ (* y (pow z 4)) x) (* -1 (pow z 2)))))
(+ x (* y (- (* y (- (/ (* y (pow z 6)) (pow x 2)) (* -1 (/ (pow z 4) x)))) (* -1 (pow z 2)))))
(- (* y (pow z 2)) x)
(* y (+ (/ x y) (pow z 2)))
(* y (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z)))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow z 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow z 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) z)))))
(/ (+ (* -1 (/ x (* y (pow z 4)))) (/ 1 (pow z 2))) y)
(/ (- (+ (/ 1 (pow z 2)) (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4)))) y)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 8)))) (/ 1 (pow z 2))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 6)))) (/ x (* y (pow z 4))))) y)
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(* y (- (+ (* -1 (/ (+ (* -1 (/ (pow x 3) (pow z 4))) (/ (pow x 3) (pow z 4))) (pow y 3))) (pow z 2)) (* -1 (/ x y))))
(* y (- (+ (* -1 (/ (+ (* -1 (/ (pow x 4) (pow z 6))) (/ (pow x 4) (pow z 6))) (pow y 4))) (pow z 2)) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4)))) (/ (pow x 3) (* (pow y 3) (pow z 4)))))))
(/ (+ (* -1 (/ (pow x 2) (pow z 2))) (* -1 (/ (pow x 3) (* y (pow z 4))))) y)
(/ (- (+ (* -1 (/ (pow x 2) (pow z 2))) (* -1 (/ (pow x 4) (* (pow y 2) (pow z 6))))) (/ (pow x 3) (* y (pow z 4)))) y)
(/ (- (+ (* -1 (/ (pow x 2) (pow z 2))) (* -1 (/ (pow x 5) (* (pow y 3) (pow z 8))))) (+ (/ (pow x 3) (* y (pow z 4))) (/ (pow x 4) (* (pow y 2) (pow z 6))))) y)
(* y (+ (* -1 (/ x y)) (pow z 2)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* y (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2)))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (* (pow z 5) (pow (sqrt -1) 4))) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))))))))
(* -1 (/ (- (/ x (* y (pow z 4))) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (* y (pow z 6))) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 8))) (/ (pow x 2) (pow z 6))) y)) (/ x (pow z 4))) y)) (/ 1 (pow z 2))) y))
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(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ (pow x 4) (* (pow y 3) (pow z 6)))) (/ (pow x 4) (* (pow y 3) (pow z 6)))) (+ (* -1 x) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 4)))) (/ (pow x 3) (* (pow y 2) (pow z 4)))))) y)) (* -1 (pow z 2)))))
(* -1 (/ (+ (/ (pow x 2) (pow z 2)) (/ (pow x 3) (* y (pow z 4)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) (* y (pow z 6)))) (/ (pow x 3) (pow z 4))) y)) (/ (pow x 2) (pow z 2))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) (* y (pow z 8))) (* -1 (/ (pow x 4) (pow z 6)))) y)) (/ (pow x 3) (pow z 4))) y)) (/ (pow x 2) (pow z 2))) y))
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(+ (sqrt x) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 x)) y)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow y 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (* (pow y 3) (pow z 2)))))))))
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(+ (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 3) (pow z 2)) (pow x 4))) (* -1 (/ (pow y 2) (pow x 3))))) (/ y (pow x 2)))) (/ 1 x))
(pow z 2)
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(pow z 4)
(+ x (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) x) (* -1 y))))
(+ x (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow y 3) (pow z 2)) (pow x 2)) (* -1 (/ (pow y 2) x)))) (* -1 y))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 3) (pow y 2))) (pow z 6)))) (* -1 (/ x (pow z 2)))))
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 4) (pow y 3))) (/ (pow x 4) (pow y 3))) (pow z 8)))) (+ (* -1 (/ x (pow z 2))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 6)))) (/ (pow x 3) (* (pow y 2) (pow z 6)))))))
(/ (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2))))) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4))))) (/ (pow x 3) (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 5) (* (pow y 4) (pow z 6))))) (+ (/ (pow x 3) (* (pow y 2) (pow z 2))) (/ (pow x 4) (* (pow y 3) (pow z 4))))) (pow z 2))
(* (pow z 2) (+ y (* -1 (/ x (pow z 2)))))
(* -1 (* (sqrt y) z))
(* -1 (* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))))

Outputs
(* y (pow z 2))
(.f64 (.f64 z z) y)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(* (sqrt y) z)
(*.f64 (sqrt.f64 y) z)
(+ (* 1/2 (* (/ x z) (sqrt (/ 1 y)))) (* (sqrt y) z))
(fma.f64 (.f64 (/.f64 x z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 y) z))
(+ (* x (+ (* -1/8 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))))) (* (sqrt y) z))
(fma.f64 (fma.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) #s(literal 1/2 binary64))) x (*.f64 (sqrt.f64 y) z))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 1/16 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) z))
(fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 x (pow.f64 z #s(literal 5 binary64))) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/8 binary64))) x (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z) #s(literal 1/2 binary64))) x (.f64 (sqrt.f64 y) z))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 z z) y))
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
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(* (pow y 2) (pow z 4))
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(+ (* -1 (pow x 2)) (* (pow y 2) (pow z 4)))
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(* -1 (/ (pow x 2) (* y (pow z 2))))
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(* (pow x 2) (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 6)))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
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(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
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(+ (* -1 x) (* y (pow z 2)))
(fma.f64 (*.f64 z z) y (neg.f64 x))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
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(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))))))
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(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow z 6)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))))
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(/ 1 x)
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(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)
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(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (neg.f64 y) z) z (.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (*.f64 y y))) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x))) x)
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(* -1 (pow x 2))
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(fma.f64 (/.f64 (.f64 (.f64 z z) y) x) x x)
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(* -1 x)
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(.f64 (fma.f64 (/.f64 (.f64 z z) x) y #s(literal -1 binary64)) x)
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(+ x (* (pow z 2) (- (* (pow z 4) (- (* -1 (* (pow z 2) (+ (* -1 (/ (pow y 4) (pow x 3))) (/ (pow y 4) (pow x 3))))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 3) (pow x 2))))) (* -1 y))))
(fma.f64 (fma.f64 (.f64 #s(literal 0 binary64) (.f64 z z)) (pow.f64 z #s(literal 4 binary64)) y) (*.f64 z z) x)
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(+ x (* (pow z 2) (- (/ (* (pow y 2) (pow z 2)) x) (* -1 y))))
(fma.f64 (fma.f64 y (/.f64 (.f64 (.f64 z z) y) x) y) (*.f64 z z) x)
(+ x (* (pow z 2) (- (* (pow z 2) (- (/ (* (pow y 3) (pow z 2)) (pow x 2)) (* -1 (/ (pow y 2) x)))) (* -1 y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 (.f64 z z) x) (/.f64 (.f64 y y) x)) (.f64 z z) y) (.f64 z z) x)
(* (pow z 2) (+ y (/ x (pow z 2))))
(.f64 (.f64 (+.f64 (/.f64 (/.f64 x z) z) y) z) z)
(* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))
(.f64 (fma.f64 (.f64 (/.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)) z)
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(.f64 (fma.f64 (.f64 (.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))) z)
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(.f64 (+.f64 (fma.f64 (.f64 (.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 y)) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (.f64 (/.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) z)
(/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 (.f64 (.f64 z z) y) y))) (.f64 z z))
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (.f64 (.f64 (.f64 z z) y) y)))) (.f64 z z))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (/.f64 x (.f64 (.f64 (.f64 z z) y) y)) (.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 z #s(literal 4 binary64)))))) (*.f64 z z))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(.f64 (fma.f64 y y (/.f64 (.f64 (neg.f64 x) x) (pow.f64 z #s(literal 4 binary64)))) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 3) (pow y 2))) (pow z 6)))) (* -1 (/ x (pow z 2)))))
(.f64 (.f64 (+.f64 (/.f64 (/.f64 x z) z) y) z) z)
(* (pow z 2) (- (+ y (* -1 (/ (+ (* -1 (/ (pow x 4) (pow y 3))) (/ (pow x 4) (pow y 3))) (pow z 8)))) (+ (* -1 (/ x (pow z 2))) (+ (* -1 (/ (pow x 3) (* (pow y 2) (pow z 6)))) (/ (pow x 3) (* (pow y 2) (pow z 6)))))))
(.f64 (.f64 (+.f64 (-.f64 y (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 8 binary64)))) (/.f64 (/.f64 x z) z)) z) z)
(/ (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 3) (* (pow y 2) (pow z 2))))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 x (/.f64 x y) (/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) (.f64 z z)))) (.f64 z z))
(/ (- (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 4) (* (pow y 3) (pow z 4))))) (/ (pow x 3) (* (pow y 2) (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (neg.f64 (fma.f64 x (/.f64 x y) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 4 binary64))))) (/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) (.f64 z z))) (.f64 z z))
(/ (- (+ (* -1 (/ (pow x 2) y)) (* -1 (/ (pow x 5) (* (pow y 4) (pow z 6))))) (+ (/ (pow x 3) (* (pow y 2) (pow z 2))) (/ (pow x 4) (* (pow y 3) (pow z 4))))) (pow z 2))
(/.f64 (-.f64 (neg.f64 (fma.f64 x (/.f64 x y) (/.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64)))))) (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) (.f64 z z)))) (*.f64 z z))
(* (pow z 2) (+ y (* -1 (/ x (pow z 2)))))
(.f64 (.f64 (-.f64 y (/.f64 (/.f64 x z) z)) z) z)
(* -1 (* (sqrt y) z))
(*.f64 (neg.f64 z) (sqrt.f64 y))
(* -1 (* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 (/.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 (.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))))
(.f64 (neg.f64 z) (+.f64 (fma.f64 (.f64 (.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 y)) (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (.f64 (/.f64 (/.f64 x z) z) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))

rewrite242.0ms (4.2%)

Memory

7.4MiB live, 160.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	187
0	65	140
1	267	139
2	1907	139
0	8371	139

Stop Event

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

Counts

19 → 1 073

Calls

Call 1

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

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

eval169.0ms (2.9%)

Memory: 5.9MiB live, 198.7MiB allocated
Compiler: Compiled 41 343 to 3 239 computations (92.2% saved)

prune61.0ms (1.1%)

Memory

-21.0MiB live, 63.9MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 043	5	1 048
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	1 045	10	1 055

Accuracy

100.0%

Counts

1 055 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(fma.f64 (/.f64 y (fma.f64 (.f64 z z) y (neg.f64 x))) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 (/.f64 x (-.f64 x (.f64 (*.f64 z z) y))) x))
✓	91.2%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	55.2%	(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
▶	55.4%	(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
✓	33.2%	(/.f64 (fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (.f64 (neg.f64 x) x)) (-.f64 (.f64 (*.f64 z y) z) x))
▶	28.6%	(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (pow (+ (* (* z y) z) x) -1) -1/2) (*.f64 (sqrt.f64 y) z)))
▶	84.1%	#s(approx (+ x (* (* y z) z)) (.f64 (fma.f64 (neg.f64 y) (/.f64 (.f64 z z) x) #s(literal -1 binary64)) (neg.f64 x)))
✓	46.5%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	54.1%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))

Compiler

Compiled 247 to 175 computations (29.1% saved)

simplify218.0ms (3.8%)

Memory

1.8MiB live, 76.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 z y) z x)
cost-diff	0	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
cost-diff	0	(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (pow (+ (* (* z y) z) x) -1) -1/2) (*.f64 (sqrt.f64 y) z)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) z x)
cost-diff	0	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal 1/4 binary64))
cost-diff	0	(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
cost-diff	0	(*.f64 z y)
cost-diff	0	(fma.f64 (*.f64 z y) z x)
cost-diff	0	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1/2 binary64))
cost-diff	0	(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
cost-diff	0	(*.f64 z z)
cost-diff	0	(fma.f64 (*.f64 z z) y (neg.f64 x))
cost-diff	0	(/.f64 y (fma.f64 (*.f64 z z) y (neg.f64 x)))
cost-diff	0	(fma.f64 (/.f64 y (fma.f64 (.f64 z z) y (neg.f64 x))) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 (/.f64 x (-.f64 x (.f64 (*.f64 z z) y))) x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) (/.f64 (*.f64 z z) x) #s(literal -1 binary64))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (fma.f64 (neg.f64 y) (/.f64 (.f64 z z) x) #s(literal -1 binary64)) (neg.f64 x)))
cost-diff	1280	(.f64 (fma.f64 (neg.f64 y) (/.f64 (.f64 z z) x) #s(literal -1 binary64)) (neg.f64 x))

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	44	291
0	73	308
1	118	308
2	189	308
3	366	303
4	1120	303
5	2909	278
6	4456	278
7	5067	278
8	5306	278
9	5534	278
10	5578	278
11	6218	278
12	6524	278
13	6722	278
14	6996	278
15	7526	278
16	7568	278
17	7582	278
18	7582	278
19	7598	278
0	8228	278

Stop Event

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

Calls

Call 1

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

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

localize148.0ms (2.6%)

Memory

2.8MiB live, 127.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.162441259768442	(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(approx (pow (pow (+ (* (* z y) z) x) -1) -1/2) (*.f64 (sqrt.f64 y) z)))
accuracy	0.22672949936320133	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64))
accuracy	4.6550637916794475	(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
accuracy	8.633557920935782	#s(approx (pow (pow (+ (* (* z y) z) x) -1) -1/2) (*.f64 (sqrt.f64 y) z))
accuracy	0.0	(*.f64 z y)
accuracy	0.0546875	(fma.f64 (*.f64 z y) z x)
accuracy	0.28589638675818824	(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
accuracy	7.424695444769293	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal 1/4 binary64))
accuracy	0.0	(*.f64 z y)
accuracy	0.0546875	(fma.f64 (*.f64 z y) z x)
accuracy	0.170253759768442	(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
accuracy	5.237167284033406	(pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal -1/2 binary64))
accuracy	1.4230847374214988	(/.f64 x (-.f64 x (.f64 (.f64 z z) y)))
accuracy	3.7958293011508357	(fma.f64 (*.f64 z z) y (neg.f64 x))
accuracy	4.78277786401508	(.f64 (.f64 z z) y)
accuracy	12.047679507506565	(fma.f64 (/.f64 y (fma.f64 (.f64 z z) y (neg.f64 x))) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 (/.f64 x (-.f64 x (.f64 (*.f64 z z) y))) x))
accuracy	0.0	#s(approx (+ x (* (* y z) z)) (.f64 (fma.f64 (neg.f64 y) (/.f64 (.f64 z z) x) #s(literal -1 binary64)) (neg.f64 x)))
accuracy	2.3345023889794807	(fma.f64 (neg.f64 y) (/.f64 (*.f64 z z) x) #s(literal -1 binary64))
accuracy	3.0614246262017386	(/.f64 (*.f64 z z) x)
accuracy	3.547833965207319	(.f64 (fma.f64 (neg.f64 y) (/.f64 (.f64 z z) x) #s(literal -1 binary64)) (neg.f64 x))

Samples

53.0ms	148×	0	invalid
52.0ms	108×	0	valid

Compiler

Compiled 581 to 88 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 36.0ms (43.9% of total)

ival-pow: 30.0ms (36.6% of total)

ival-div: 5.0ms (6.1% of total)

ival-add: 5.0ms (6.1% of total)

ival-sqrt: 2.0ms (2.4% of total)

ival-neg: 2.0ms (2.4% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series66.0ms (1.1%)

Memory

23.2MiB live, 59.1MiB allocated

Counts

21 → 204

Calls

Call 1

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

Outputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(* -1 (/ (* y (pow z 2)) x))
(/ (+ (* -1 x) (* -1 (* y (pow z 2)))) x)
(/ 1 (pow z 2))
(+ (/ 1 (pow z 2)) (/ x (* y (pow z 4))))
(+ (* x (+ (/ 1 (* y (pow z 4))) (/ x (* (pow y 2) (pow z 6))))) (/ 1 (pow z 2)))
(+ (* x (+ (* x (+ (/ 1 (* (pow y 2) (pow z 6))) (/ x (* (pow y 3) (pow z 8))))) (/ 1 (* y (pow z 4))))) (/ 1 (pow z 2)))
(+ (* -1 x) (* y (pow z 2)))
(* (sqrt (/ 1 y)) (/ 1 z))
(+ (* -1/2 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (/ 1 z)))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 3/8 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))) (* (sqrt (/ 1 y)) (/ 1 z)))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* x (+ (* -5/16 (* (/ x (pow z 7)) (sqrt (/ 1 (pow y 7))))) (* 3/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow z 5)))))))) (* (sqrt (/ 1 y)) (/ 1 z)))
(* (pow (* 1 y) 1/4) (sqrt z))
(+ (* 1/4 (* (pow (/ 1 (pow y 3)) 1/4) (* x (sqrt (/ 1 (pow z 3)))))) (* (pow (* 1 y) 1/4) (sqrt z)))
(+ (* x (+ (* -3/32 (* (pow (/ 1 (pow y 7)) 1/4) (* x (sqrt (/ 1 (pow z 7)))))) (* 1/4 (* (pow (/ 1 (pow y 3)) 1/4) (sqrt (/ 1 (pow z 3))))))) (* (pow (* 1 y) 1/4) (sqrt z)))
(+ (* x (+ (* 1/4 (* (pow (/ 1 (pow y 3)) 1/4) (sqrt (/ 1 (pow z 3))))) (* x (+ (* -3/32 (* (pow (/ 1 (pow y 7)) 1/4) (sqrt (/ 1 (pow z 7))))) (* 7/128 (* (pow (/ 1 (pow y 11)) 1/4) (* x (sqrt (/ 1 (pow z 11)))))))))) (* (pow (* 1 y) 1/4) (sqrt z)))
(* (sqrt y) z)
(+ (* 1/2 (* (/ x z) (sqrt (/ 1 y)))) (* (sqrt y) z))
(+ (* x (+ (* -1/8 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))))) (* (sqrt y) z))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 1/16 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) z))
(/ 1 (* y (pow z 2)))
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
(+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(/ (pow z 2) x)
(* -1 (/ x (* y (pow z 2))))
(* x (- (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2)))))
(* x (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 6)))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(* x (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
-1
(- (* -1 (/ (* y (pow z 2)) x)) 1)
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 3) (pow z 6))) (* (pow y 3) (pow z 6))) (pow x 3)))) (* -1 (/ (* y (pow z 2)) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 4) (pow z 8))) (* (pow y 4) (pow z 8))) (pow x 4)))) (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (/ (* (pow y 3) (pow z 6)) (pow x 3))))))
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1
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(pow z 2)
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(* (pow z 2) (+ y (/ x (pow z 2))))
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(/ (+ 1 (/ x (* y (pow z 2)))) (pow z 2))
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(* (pow z 2) (+ y (* -1 (/ x (pow z 2)))))
(/ (+ (sqrt (/ 1 y)) (* -1/2 (* (/ x (pow z 2)) (sqrt (/ 1 (pow y 3)))))) z)
(/ (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt y) (/ (+ (* -1 (/ (pow x 2) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 3)))) (pow z 4)))) (* -1/2 (* (/ x (pow z 2)) (sqrt (/ 1 (pow y 3))))))) z)
(/ (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt y) (/ (+ (* -1 (/ (pow x 2) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 3)))) (pow z 4)))) (+ (* -1/2 (* (sqrt y) (/ (+ (* 1/2 (/ (* x (+ (* -1 (/ (pow x 2) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 3))))) y)) (/ (pow x 3) (pow y 4))) (pow z 6)))) (* -1/2 (* (/ x (pow z 2)) (sqrt (/ 1 (pow y 3)))))))) z)
(exp (* 1/4 (+ (log y) (* -2 (log (/ 1 z))))))
(+ (exp (* 1/4 (+ (log y) (* -2 (log (/ 1 z)))))) (* 1/4 (/ (* x (exp (* 1/4 (+ (log y) (* -2 (log (/ 1 z))))))) (* y (pow z 2)))))
(+ (exp (* 1/4 (+ (log y) (* -2 (log (/ 1 z)))))) (+ (* 1/4 (/ (* x (exp (* 1/4 (+ (log y) (* -2 (log (/ 1 z))))))) (* y (pow z 2)))) (/ (* (exp (* 1/4 (+ (log y) (* -2 (log (/ 1 z)))))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/32 (/ (pow x 2) (pow y 2))))) (pow z 4))))
(+ (exp (* 1/4 (+ (log y) (* -2 (log (/ 1 z)))))) (+ (* 1/4 (/ (* x (exp (* 1/4 (+ (log y) (* -2 (log (/ 1 z))))))) (* y (pow z 2)))) (+ (/ (* (exp (* 1/4 (+ (log y) (* -2 (log (/ 1 z)))))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/32 (/ (pow x 2) (pow y 2))))) (pow z 4)) (/ (* (exp (* 1/4 (+ (log y) (* -2 (log (/ 1 z)))))) (+ (* -1/32 (/ (pow x 3) (pow y 3))) (+ (* 1/384 (/ (pow x 3) (pow y 3))) (* 1/12 (/ (pow x 3) (pow y 3)))))) (pow z 6)))))
(* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(/ (+ (* -1 (/ x (* (pow y 2) (pow z 2)))) (/ 1 y)) (pow z 2))
(/ (- (+ (/ 1 y) (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) (pow z 6)))) (/ 1 y)) (+ (* -1 (/ (pow x 2) (* (pow y 3) (pow z 4)))) (/ x (* (pow y 2) (pow z 2))))) (pow z 2))
(/ (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2))))) (pow z 2))
(/ (- (+ (* -1 (/ x y)) (* -1 (/ (pow x 3) (* (pow y 3) (pow z 4))))) (/ (pow x 2) (* (pow y 2) (pow z 2)))) (pow z 2))
(/ (- (+ (* -1 (/ x y)) (* -1 (/ (pow x 4) (* (pow y 4) (pow z 6))))) (+ (/ (pow x 2) (* (pow y 2) (pow z 2))) (/ (pow x 3) (* (pow y 3) (pow z 4))))) (pow z 2))
(* -1 (* (sqrt (/ 1 y)) (/ 1 z)))
(* -1 (/ (+ (sqrt (/ 1 y)) (* -1/2 (* (/ x (pow z 2)) (sqrt (/ 1 (pow y 3)))))) z))
(* -1 (/ (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt y) (/ (+ (* -1 (/ (pow x 2) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 3)))) (pow z 4)))) (* -1/2 (* (/ x (pow z 2)) (sqrt (/ 1 (pow y 3))))))) z))
(* -1 (/ (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt y) (/ (+ (* -1 (/ (pow x 2) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 3)))) (pow z 4)))) (+ (* -1/2 (* (sqrt y) (/ (+ (* 1/2 (/ (* x (+ (* -1 (/ (pow x 2) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 3))))) y)) (/ (pow x 3) (pow y 4))) (pow z 6)))) (* -1/2 (* (/ x (pow z 2)) (sqrt (/ 1 (pow y 3)))))))) z))
(exp (* 1/4 (+ (log y) (* -2 (log (/ -1 z))))))
(+ (exp (* 1/4 (+ (log y) (* -2 (log (/ -1 z)))))) (* 1/4 (/ (* x (exp (* 1/4 (+ (log y) (* -2 (log (/ -1 z))))))) (* y (pow z 2)))))
(+ (exp (* 1/4 (+ (log y) (* -2 (log (/ -1 z)))))) (+ (* 1/4 (/ (* x (exp (* 1/4 (+ (log y) (* -2 (log (/ -1 z))))))) (* y (pow z 2)))) (/ (* (exp (* 1/4 (+ (log y) (* -2 (log (/ -1 z)))))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/32 (/ (pow x 2) (pow y 2))))) (pow z 4))))
(+ (exp (* 1/4 (+ (log y) (* -2 (log (/ -1 z)))))) (+ (* 1/4 (/ (* x (exp (* 1/4 (+ (log y) (* -2 (log (/ -1 z))))))) (* y (pow z 2)))) (+ (/ (* (exp (* 1/4 (+ (log y) (* -2 (log (/ -1 z)))))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/32 (/ (pow x 2) (pow y 2))))) (pow z 4)) (/ (* (exp (* 1/4 (+ (log y) (* -2 (log (/ -1 z)))))) (+ (* -1/32 (/ (pow x 3) (pow y 3))) (+ (* 1/384 (/ (pow x 3) (pow y 3))) (* 1/12 (/ (pow x 3) (pow y 3)))))) (pow z 6)))))
(* -1 (* (sqrt y) z))
(* -1 (* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))))

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	((* (+ (* (neg y) (/ (* z z) x)) -1) (neg x)) (+ x (* (* y z) z)) (+ (* (neg y) (/ (* z z) x)) -1) (neg y) (+ (* (/ y (+ (* (* z z) y) (neg x))) (* (pow z 4) y)) (* (/ x (- x (* (* z z) y))) x)) (/ y (+ (* (* z z) y) (neg x))) (+ (* (* z z) y) (neg x)) (* z z) (pow (pow (+ (* (* z y) z) x) -1/2) -2) (pow (+ (* (* z y) z) x) -1/2) (+ (* (* z y) z) x) (* z y) (pow (pow (+ (* (* z y) z) x) 1/4) 4) (pow (+ (* (* z y) z) x) 1/4) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (/ (* z z) x) (* (* z z) y) (/ x (- x (* (* z z) y))) (pow (pow (+ (* (* z y) z) x) -1) -1/2))
10.0ms	x	@	0	((* (+ (* (neg y) (/ (* z z) x)) -1) (neg x)) (+ x (* (* y z) z)) (+ (* (neg y) (/ (* z z) x)) -1) (neg y) (+ (* (/ y (+ (* (* z z) y) (neg x))) (* (pow z 4) y)) (* (/ x (- x (* (* z z) y))) x)) (/ y (+ (* (* z z) y) (neg x))) (+ (* (* z z) y) (neg x)) (* z z) (pow (pow (+ (* (* z y) z) x) -1/2) -2) (pow (+ (* (* z y) z) x) -1/2) (+ (* (* z y) z) x) (* z y) (pow (pow (+ (* (* z y) z) x) 1/4) 4) (pow (+ (* (* z y) z) x) 1/4) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (/ (* z z) x) (* (* z z) y) (/ x (- x (* (* z z) y))) (pow (pow (+ (* (* z y) z) x) -1) -1/2))
6.0ms	z	@	inf	((* (+ (* (neg y) (/ (* z z) x)) -1) (neg x)) (+ x (* (* y z) z)) (+ (* (neg y) (/ (* z z) x)) -1) (neg y) (+ (* (/ y (+ (* (* z z) y) (neg x))) (* (pow z 4) y)) (* (/ x (- x (* (* z z) y))) x)) (/ y (+ (* (* z z) y) (neg x))) (+ (* (* z z) y) (neg x)) (* z z) (pow (pow (+ (* (* z y) z) x) -1/2) -2) (pow (+ (* (* z y) z) x) -1/2) (+ (* (* z y) z) x) (* z y) (pow (pow (+ (* (* z y) z) x) 1/4) 4) (pow (+ (* (* z y) z) x) 1/4) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (/ (* z z) x) (* (* z z) y) (/ x (- x (* (* z z) y))) (pow (pow (+ (* (* z y) z) x) -1) -1/2))
5.0ms	z	@	0	((* (+ (* (neg y) (/ (* z z) x)) -1) (neg x)) (+ x (* (* y z) z)) (+ (* (neg y) (/ (* z z) x)) -1) (neg y) (+ (* (/ y (+ (* (* z z) y) (neg x))) (* (pow z 4) y)) (* (/ x (- x (* (* z z) y))) x)) (/ y (+ (* (* z z) y) (neg x))) (+ (* (* z z) y) (neg x)) (* z z) (pow (pow (+ (* (* z y) z) x) -1/2) -2) (pow (+ (* (* z y) z) x) -1/2) (+ (* (* z y) z) x) (* z y) (pow (pow (+ (* (* z y) z) x) 1/4) 4) (pow (+ (* (* z y) z) x) 1/4) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (/ (* z z) x) (* (* z z) y) (/ x (- x (* (* z z) y))) (pow (pow (+ (* (* z y) z) x) -1) -1/2))
5.0ms	y	@	inf	((* (+ (* (neg y) (/ (* z z) x)) -1) (neg x)) (+ x (* (* y z) z)) (+ (* (neg y) (/ (* z z) x)) -1) (neg y) (+ (* (/ y (+ (* (* z z) y) (neg x))) (* (pow z 4) y)) (* (/ x (- x (* (* z z) y))) x)) (/ y (+ (* (* z z) y) (neg x))) (+ (* (* z z) y) (neg x)) (* z z) (pow (pow (+ (* (* z y) z) x) -1/2) -2) (pow (+ (* (* z y) z) x) -1/2) (+ (* (* z y) z) x) (* z y) (pow (pow (+ (* (* z y) z) x) 1/4) 4) (pow (+ (* (* z y) z) x) 1/4) (* (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (pow (+ (* (* z y) z) x) -1) -1/2)) (pow (pow (+ (* (* z y) z) x) -1) -1/2) (pow (+ (* (* z y) z) x) -1) (/ (* z z) x) (* (* z z) y) (/ x (- x (* (* z z) y))) (pow (pow (+ (* (* z y) z) x) -1) -1/2))

simplify311.0ms (5.4%)

Memory

-33.3MiB live, 240.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1161	6115
1	3776	5600
0	8223	5370

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 203

Calls

Call 1

Inputs
(* y (pow z 2))
(+ x (* y (pow z 2)))
(* -1 (/ (* y (pow z 2)) x))
(/ (+ (* -1 x) (* -1 (* y (pow z 2)))) x)
(/ 1 (pow z 2))
(+ (/ 1 (pow z 2)) (/ x (* y (pow z 4))))
(+ (* x (+ (/ 1 (* y (pow z 4))) (/ x (* (pow y 2) (pow z 6))))) (/ 1 (pow z 2)))
(+ (* x (+ (* x (+ (/ 1 (* (pow y 2) (pow z 6))) (/ x (* (pow y 3) (pow z 8))))) (/ 1 (* y (pow z 4))))) (/ 1 (pow z 2)))
(+ (* -1 x) (* y (pow z 2)))
(* (sqrt (/ 1 y)) (/ 1 z))
(+ (* -1/2 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (/ 1 z)))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 3/8 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))) (* (sqrt (/ 1 y)) (/ 1 z)))
(+ (* x (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* x (+ (* -5/16 (* (/ x (pow z 7)) (sqrt (/ 1 (pow y 7))))) (* 3/8 (* (sqrt (/ 1 (pow y 5))) (/ 1 (pow z 5)))))))) (* (sqrt (/ 1 y)) (/ 1 z)))
(* (pow (* 1 y) 1/4) (sqrt z))
(+ (* 1/4 (* (pow (/ 1 (pow y 3)) 1/4) (* x (sqrt (/ 1 (pow z 3)))))) (* (pow (* 1 y) 1/4) (sqrt z)))
(+ (* x (+ (* -3/32 (* (pow (/ 1 (pow y 7)) 1/4) (* x (sqrt (/ 1 (pow z 7)))))) (* 1/4 (* (pow (/ 1 (pow y 3)) 1/4) (sqrt (/ 1 (pow z 3))))))) (* (pow (* 1 y) 1/4) (sqrt z)))
(+ (* x (+ (* 1/4 (* (pow (/ 1 (pow y 3)) 1/4) (sqrt (/ 1 (pow z 3))))) (* x (+ (* -3/32 (* (pow (/ 1 (pow y 7)) 1/4) (sqrt (/ 1 (pow z 7))))) (* 7/128 (* (pow (/ 1 (pow y 11)) 1/4) (* x (sqrt (/ 1 (pow z 11)))))))))) (* (pow (* 1 y) 1/4) (sqrt z)))
(* (sqrt y) z)
(+ (* 1/2 (* (/ x z) (sqrt (/ 1 y)))) (* (sqrt y) z))
(+ (* x (+ (* -1/8 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))))) (* (sqrt y) z))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow z 3)))) (* 1/16 (* (/ x (pow z 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) z))
(/ 1 (* y (pow z 2)))
(+ (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2))))
(+ (* x (- (/ x (* (pow y 3) (pow z 6))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(+ (* x (- (* x (+ (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2))))
(/ (pow z 2) x)
(* -1 (/ x (* y (pow z 2))))
(* x (- (* -1 (/ x (* (pow y 2) (pow z 4)))) (/ 1 (* y (pow z 2)))))
(* x (- (* x (- (* -1 (/ x (* (pow y 3) (pow z 6)))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
(* x (- (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 8)))) (/ 1 (* (pow y 3) (pow z 6))))) (/ 1 (* (pow y 2) (pow z 4))))) (/ 1 (* y (pow z 2)))))
x
(* x (+ 1 (/ (* y (pow z 2)) x)))
-1
(- (* -1 (/ (* y (pow z 2)) x)) 1)
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 3) (pow z 6))) (* (pow y 3) (pow z 6))) (pow x 3)))) (* -1 (/ (* y (pow z 2)) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (pow y 4) (pow z 8))) (* (pow y 4) (pow z 8))) (pow x 4)))) (+ (* -1 (/ (* y (pow z 2)) x)) (+ (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (/ (* (pow y 3) (pow z 6)) (pow x 3))))))
(* -1 (/ y x))
(/ (+ (* -1 y) (* -1 (/ (* (pow y 2) (pow z 2)) x))) x)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow y 3) (pow z 4)) (pow x 2)))) (/ (* (pow y 2) (pow z 2)) x)) x)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow y 4) (pow z 6)) (pow x 3)))) (+ (/ (* (pow y 2) (pow z 2)) x) (/ (* (pow y 3) (pow z 4)) (pow x 2)))) x)
(* -1 x)
(* x (- (/ (* y (pow z 2)) x) 1))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/4 (* x (* (pow y 2) (pow z 4)))) (* (pow y 3) (pow z 6))))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))))))
(pow (* 1 x) 1/4)
(+ (* 1/4 (* (pow (/ 1 (pow x 3)) 1/4) (* y (pow z 2)))) (pow (* 1 x) 1/4))
(+ (* 1/4 (* (pow (/ 1 (pow x 3)) 1/4) (* y (pow z 2)))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/8 (* (pow y 2) (pow z 4))) (* 1/32 (* (pow y 2) (pow z 4))))) (pow (* 1 x) 1/4)))
(+ (* 1/4 (* (pow (/ 1 (pow x 3)) 1/4) (* y (pow z 2)))) (+ (* (pow (/ 1 (pow x 7)) 1/4) (+ (* -1/8 (* (pow y 2) (pow z 4))) (* 1/32 (* (pow y 2) (pow z 4))))) (+ (* (pow (/ 1 (pow x 11)) 1/4) (+ (* -1/32 (* (pow y 3) (pow z 6))) (+ (* 1/384 (* (pow y 3) (pow z 6))) (* 1/12 (* (pow y 3) (pow z 6)))))) (pow (* 1 x) 1/4))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow z 6)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2))))))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (* y (pow z 2)) x))) x)
(/ (- (+ 1 (/ (* (pow y 2) (pow z 4)) (pow x 2))) (/ (* y (pow z 2)) x)) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (pow z 6)) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (pow z 4)) (pow 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))) (* -1 (/ (* y (pow z 2)) x)))
(- (+ 1 (/ (* (pow y 3) (pow z 6)) (pow x 3))) (+ (* -1 (/ (* y (pow z 2)) x)) (* -1 (/ (* (pow y 2) (pow z 4)) (pow x 2)))))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (pow z 4))) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1)))
(* -1 (/ (+ y (/ (* (pow y 2) (pow z 2)) x)) x))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow y 3) (pow z 4)) x)) (* (pow y 2) (pow z 2))) x))) x))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 4) (pow z 6)) x) (* -1 (* (pow y 3) (pow z 4)))) x)) (* (pow y 2) (pow z 2))) x))) x))
(* -1 (* x (+ 1 (* -1 (/ (* y (pow z 2)) x)))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow z 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (* (pow y 2) (pow z 4)))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/4 (/ (* x (* (pow y 2) (pow z 4))) (pow (sqrt -1) 2))) (* (pow y 3) (pow z 6)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ (* y (* (pow z 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/8 (* (pow y 2) (pow z 4))) (* 1/32 (* (pow y 2) (pow z 4))))) x)) (* -1/4 (* y (* (pow z 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/12 (* (pow y 3) (pow z 6))) (+ (* -1/384 (* (pow y 3) (pow z 6))) (* 1/32 (* (pow y 3) (pow z 6)))))) x)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1/8 (* (pow y 2) (pow z 4))) (* 1/32 (* (pow y 2) (pow z 4)))))) x)) (* -1/4 (* y (* (pow z 2) (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (pow z 4)) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (* (pow y 2) (pow z 4)) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (* (pow y 3) (pow z 6)) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow z 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (/ (- (/ (* y (pow z 2)) x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) (pow z 4)) x) (* y (pow z 2))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 6)) x) (* (pow y 2) (pow z 4))) x)) (* y (pow z 2))) x)) 1) x))
(+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 4)) x)) (* y (pow z 2))) 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 y)
(+ x (* y (- (* -1 (* (pow y 2) (+ (* -1 (/ (pow z 6) (pow x 2))) (/ (pow z 6) (pow x 2))))) (* -1 (pow z 2)))))
(+ x (* y (- (* (pow y 2) (- (* -1 (* y (+ (* -1 (/ (pow z 8) (pow x 3))) (/ (pow z 8) (pow x 3))))) (+ (* -1 (/ (pow z 6) (pow x 2))) (/ (pow z 6) (pow x 2))))) (* -1 (pow z 2)))))
(* y (- (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ 1 x)))
(* y (- (* y (- (* -1 (/ (* y (pow z 4)) (pow x 3))) (/ (pow z 2) (pow x 2)))) (/ 1 x)))
(* y (- (* y (- (* y (- (* -1 (/ (* y (pow z 6)) (pow x 4))) (/ (pow z 4) (pow x 3)))) (/ (pow z 2) (pow x 2)))) (/ 1 x)))
(- (* y (pow z 2)) x)
(+ (sqrt (/ 1 x)) (* y (+ (* -1/2 (* (sqrt x) (* y (+ (* -1 (/ (pow z 4) (pow x 3))) (* 1/4 (/ (pow z 4) (pow x 3))))))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow z 2))))))
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(* y (+ (/ x y) (pow z 2)))
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(* -1 (* y (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (* (pow z 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x z) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (* z (pow (sqrt -1) 2)))))))
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(* -1 (/ (- (/ x (* y (pow z 4))) (/ 1 (pow z 2))) y))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 3) (* y (pow z 6)))) (/ (pow x 2) (pow z 4))) y)) (/ x (pow z 2))) y))
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(+ (* -1 (/ y x)) (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (* (pow y 4) (pow z 2)) (pow x 4))) (/ (pow y 3) (pow x 3)))) (/ (pow y 2) (pow x 2)))))
(pow z 2)
(+ (sqrt (/ 1 x)) (* (pow z 2) (+ (* -1/2 (* (sqrt x) (* (pow z 2) (+ (* -1 (/ (pow y 2) (pow x 3))) (* 1/4 (/ (pow y 2) (pow x 3))))))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)))))
(+ (sqrt (/ 1 x)) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (pow z 2) (+ (* -1/2 (* (sqrt x) (* (pow z 2) (+ (* 1/2 (/ (* y (+ (* -1 (/ (pow y 2) (pow x 3))) (* 1/4 (/ (pow y 2) (pow x 3))))) x)) (/ (pow y 3) (pow x 4)))))) (* -1/2 (* (sqrt x) (+ (* -1 (/ (pow y 2) (pow x 3))) (* 1/4 (/ (pow y 2) (pow x 3)))))))))))
(+ (* (pow z 2) (+ (* 1/4 (* (pow (/ 1 (pow x 3)) 1/4) y)) (* (pow (* 1 x) 1/4) (* (pow z 2) (+ (* -1/8 (/ (pow y 2) (pow x 2))) (* 1/32 (/ (pow y 2) (pow x 2)))))))) (pow (* 1 x) 1/4))
(+ (* (pow z 2) (+ (* 1/4 (* (pow (/ 1 (pow x 3)) 1/4) y)) (* (pow z 2) (+ (* (pow (* 1 x) 1/4) (* (pow z 2) (+ (* -1/32 (/ (pow y 3) (pow x 3))) (+ (* 1/384 (/ (pow y 3) (pow x 3))) (* 1/12 (/ (pow y 3) (pow x 3))))))) (* (pow (* 1 x) 1/4) (+ (* -1/8 (/ (pow y 2) (pow x 2))) (* 1/32 (/ (pow y 2) (pow x 2))))))))) (pow (* 1 x) 1/4))
(+ (sqrt x) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 x)) y)))))
(+ (sqrt x) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 x)) y)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow y 2))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (* (pow y 3) (pow z 2)))))))))
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(/ (+ 1 (/ x (* y (pow z 2)))) (pow z 2))
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(/ (+ (sqrt (/ 1 y)) (* -1/2 (* (/ x (pow z 2)) (sqrt (/ 1 (pow y 3)))))) z)
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(/ (+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt y) (/ (+ (* -1 (/ (pow x 2) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 3)))) (pow z 4)))) (+ (* -1/2 (* (sqrt y) (/ (+ (* 1/2 (/ (* x (+ (* -1 (/ (pow x 2) (pow y 3))) (* 1/4 (/ (pow x 2) (pow y 3))))) y)) (/ (pow x 3) (pow y 4))) (pow z 6)))) (* -1/2 (* (/ x (pow z 2)) (sqrt (/ 1 (pow y 3)))))))) z)
(exp (* 1/4 (+ (log y) (* -2 (log (/ 1 z))))))
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(* -1 (* (sqrt y) z))
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Outputs
(* y (pow z 2))
(.f64 (.f64 z z) y)
(+ x (* y (pow z 2)))
(fma.f64 (*.f64 z z) y x)
(* -1 (/ (* y (pow z 2)) x))
(.f64 (neg.f64 y) (/.f64 (.f64 z z) x))
(/ (+ (* -1 x) (* -1 (* y (pow z 2)))) x)
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) y x)) x)
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(+ (/ 1 (pow z 2)) (/ x (* y (pow z 4))))
(+.f64 (/.f64 x (.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 #s(literal 1 binary64) (.f64 z z)))
(+ (* x (+ (/ 1 (* y (pow z 4))) (/ x (* (pow y 2) (pow z 6))))) (/ 1 (pow z 2)))
(fma.f64 (+.f64 (/.f64 (/.f64 x (.f64 y y)) (pow.f64 z #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) y))) x (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(+ (* x (+ (* x (+ (/ 1 (* (pow y 2) (pow z 6))) (/ x (* (pow y 3) (pow z 8))))) (/ 1 (* y (pow z 4))))) (/ 1 (pow z 2)))
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 z #s(literal 6 binary64)))) x (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 z #s(literal 4 binary64)) y))) x (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(+ (* -1 x) (* y (pow z 2)))
(fma.f64 (*.f64 z z) y (neg.f64 x))
(* (sqrt (/ 1 y)) (/ 1 z))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)
(+ (* -1/2 (* (/ x (pow z 3)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (/ 1 z)))
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(+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -2 binary64) (log.f64 y))) (.f64 z z)) (/.f64 x y)) #s(literal 1/4 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -2 binary64) (log.f64 y)))) (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -2 binary64) (log.f64 y))) (/.f64 (.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -3/32 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(+ (exp (* 1/4 (+ (log y) (* -2 (log (/ -1 z)))))) (+ (* 1/4 (/ (* x (exp (* 1/4 (+ (log y) (* -2 (log (/ -1 z))))))) (* y (pow z 2)))) (+ (/ (* (exp (* 1/4 (+ (log y) (* -2 (log (/ -1 z)))))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/32 (/ (pow x 2) (pow y 2))))) (pow z 4)) (/ (* (exp (* 1/4 (+ (log y) (* -2 (log (/ -1 z)))))) (+ (* -1/32 (/ (pow x 3) (pow y 3))) (+ (* 1/384 (/ (pow x 3) (pow y 3))) (* 1/12 (/ (pow x 3) (pow y 3)))))) (pow z 6)))))
(+.f64 (fma.f64 (.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -2 binary64) (log.f64 y))) (.f64 z z)) (/.f64 x y)) #s(literal 1/4 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -2 binary64) (log.f64 y)))) (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal -2 binary64) (log.f64 y))) (+.f64 (/.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 7/128 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (.f64 (.f64 (/.f64 x y) (/.f64 x y)) #s(literal -3/32 binary64)) (pow.f64 z #s(literal 4 binary64))))))
(* -1 (* (sqrt y) z))
(*.f64 (neg.f64 z) (sqrt.f64 y))
(* -1 (* z (+ (sqrt y) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))
(.f64 (neg.f64 z) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y))))))))
(.f64 (neg.f64 z) (+.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 z z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (sqrt.f64 y)))
(* -1 (* z (+ (sqrt y) (+ (* -1/8 (* (/ (pow x 2) (pow z 4)) (sqrt (/ 1 (pow y 3))))) (+ (* 1/16 (* (/ (pow x 3) (pow z 6)) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (/ x (pow z 2)) (sqrt (/ 1 y)))))))))
(.f64 (neg.f64 z) (+.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (pow.f64 z #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 z z))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sqrt.f64 y)))

rewrite242.0ms (4.2%)

Memory

21.1MiB live, 383.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	211
0	73	194
1	259	190
2	1496	190
0	8281	190

Stop Event

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

Counts

21 → 1 103

Calls

Call 1

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

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

eval186.0ms (3.2%)

Memory: 24.4MiB live, 257.5MiB allocated
Compiler: Compiled 40 698 to 3 929 computations (90.3% saved)

prune37.0ms (0.6%)

Memory

-2.9MiB live, 73.5MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1 022	7	1 029
Fresh	0	0	0
Picked	4	1	5
Done	1	4	5
Total	1 027	12	1 039

Accuracy

100.0%

Counts

1 039 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(fma.f64 (/.f64 y (fma.f64 (.f64 z z) y (neg.f64 x))) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 #s(approx (/ x (- x ( (* z z) y))) #s(literal 1 binary64)) x))
✓	91.2%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	55.2%	(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) z x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
	28.7%	(pow.f64 #s(approx (pow (+ (* (* z y) z) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)) #s(literal -2 binary64))
	28.5%	(.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1/8 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 z y) z x) #s(literal -1/8 binary64)) #s(literal -2 binary64))) #s(approx (pow (pow (+ (* (* z y) z) x) -1) -1/2) (*.f64 (sqrt.f64 y) z)))
	28.7%	(.f64 #s(approx (pow (pow (+ ( (* z y) z) x) -1) -1/2) (.f64 (sqrt.f64 y) z)) #s(approx (pow (pow (+ ( (* z y) z) x) -1) -1/2) (*.f64 (sqrt.f64 y) z)))
	89.9%	#s(approx (+ x (* (* y z) z)) (.f64 (fma.f64 z (.f64 (/.f64 z x) (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 x)))
✓	46.5%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	54.1%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))
	47.5%	#s(approx (+ x (* (* y z) z)) (.f64 #s(approx (+ ( (neg y) (/ (* z z) x)) -1) #s(literal -1 binary64)) (neg.f64 x)))
	84.1%	#s(approx (+ x (* (* y z) z)) #s(approx (* (+ (* (neg y) (/ (* z z) x)) -1) (neg x)) (.f64 (fma.f64 (/.f64 (.f64 z z) x) y #s(literal 1 binary64)) x)))

Compiler

Compiled 684 to 265 computations (61.3% saved)

regimes53.0ms (0.9%)

Memory

-14.8MiB live, 72.2MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

5 calls:

24.0ms	(.f64 (.f64 y z) z)
8.0ms	y
7.0ms	z
6.0ms	x
6.0ms	(+.f64 x (.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)

regimes11.0ms (0.2%)

Memory

-12.0MiB live, 26.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

#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 (* (* y z) z)) (*.f64 (*.f64 y z) z))

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

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

Calls

5 calls:

4.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(+.f64 x (.f64 (.f64 y z) z))
2.0ms	(.f64 (.f64 y z) z)

Results

Accuracy	Segments	Branch
65.8%	3	`x`
63.0%	3	`y`
85.0%	2	`z`
75.3%	3	`(+.f64 x (.f64 (.f64 y z) z))`
87.6%	3	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes6.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
47.5%	1	`y`
47.5%	1	`x`
47.5%	1	`(+.f64 x (.f64 (.f64 y z) z))`
47.5%	1	`z`
47.5%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.7937996681596994e-94	2.261078687665379e-91
0.0ms	-2.2671501966597413e+93	-4.967410023835994e+87

Compiler

Compiled 10 to 12 computations (-20% saved)

simplify75.0ms (1.3%)

Memory

-29.5MiB live, 64.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	82
1	50	80
2	82	80
3	181	80
4	331	80
5	603	80
6	2032	80
7	3641	80

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 (*.f64 y z) z) #s(literal -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) #s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 y z) z)) (if (<=.f64 (*.f64 (*.f64 y z) z) #s(literal 2348542582773833/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) #s(approx (+ x (* (* y z) z)) (*.f64 #s(approx (+ (* (neg y) (/ (* z z) x)) -1) #s(literal -1 binary64)) (neg.f64 x))) #s(approx (+ x (* (* y z) z)) (*.f64 (*.f64 y z) z))))

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

Outputs
(fma.f64 (*.f64 z y) z x)
(if (<=.f64 (.f64 (.f64 y z) z) #s(literal -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) (if (<=.f64 (.f64 (.f64 y z) z) #s(literal 2348542582773833/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) #s(approx (+ x (* (* y z) z)) (.f64 #s(approx (+ ( (neg y) (/ (* z z) x)) -1) #s(literal -1 binary64)) (neg.f64 x))) #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z))))
(if (or (<=.f64 (.f64 (.f64 y z) z) #s(literal -2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040 binary64)) (not (<=.f64 (.f64 (.f64 y z) z) #s(literal 2348542582773833/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)))) #s(approx (+ x (* (* y z) z)) (.f64 (.f64 y z) z)) #s(approx (+ x (* (* y z) z)) (.f64 #s(approx (+ ( (neg y) (/ (* z z) x)) -1) #s(literal -1 binary64)) (neg.f64 x))))
#s(approx (+ x (* (* y z) z)) (.f64 #s(approx (+ ( (neg y) (/ (* z z) x)) -1) #s(literal -1 binary64)) (neg.f64 x)))

soundness761.0ms (13.2%)

Memory

0.5MiB live, 425.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	132
0	44	101
1	153	98
2	958	98
0	8621	98
0	1161	6115
1	3776	5600
0	8223	5370
0	638	2817
1	2028	2577
2	7193	2567
0	8090	2457
0	6	15
0	9	15
1	27	15
2	179	15
3	1792	15
0	8600	14
0	28	51
1	87	51
2	241	51
3	716	51
4	2180	51
5	4432	51
6	7156	51
0	8234	45

Stop Event

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

Compiler

Compiled 203 to 120 computations (40.9% saved)

preprocess21.0ms (0.4%)

Memory: 27.2MiB live, 27.2MiB allocated
Remove: (abs z)
Compiler: Compiled 190 to 80 computations (57.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample917.0ms (15.9%)

explain161.0ms (2.8%)

preprocess49.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize33.0ms (0.6%)

series37.0ms (0.6%)

simplify128.0ms (2.2%)

rewrite249.0ms (4.3%)

eval20.0ms (0.3%)

prune5.0ms (0.1%)

simplify84.0ms (1.5%)

localize101.0ms (1.8%)

series31.0ms (0.5%)

simplify193.0ms (3.3%)

rewrite227.0ms (3.9%)

eval448.0ms (7.8%)

prune21.0ms (0.4%)

simplify113.0ms (2%)

localize122.0ms (2.1%)

series36.0ms (0.6%)

simplify190.0ms (3.3%)

rewrite242.0ms (4.2%)

eval169.0ms (2.9%)

prune61.0ms (1.1%)

simplify218.0ms (3.8%)

localize148.0ms (2.6%)

series66.0ms (1.1%)

simplify311.0ms (5.4%)

rewrite242.0ms (4.2%)

eval186.0ms (3.2%)

prune37.0ms (0.6%)

regimes53.0ms (0.9%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

simplify75.0ms (1.3%)

soundness761.0ms (13.2%)

preprocess21.0ms (0.4%)

end0.0ms (0%)

Profiling