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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample911.0ms (19%)

Memory

-19.5MiB live, 808.6MiB allocated

Samples

648.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-mult: 186.0ms (78.2% of total)

ival-add: 43.0ms (18.1% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain66.0ms (1.4%)

Memory

19.0MiB live, 143.7MiB 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

29.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 7.0ms (71.6% of total)

ival-add: 2.0ms (20.5% of total)

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

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

preprocess33.0ms (0.7%)

Memory

-22.7MiB live, 53.1MiB 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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB 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	1	(+.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

localize17.0ms (0.4%)

Memory

-1.5MiB live, 36.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y z)
accuracy	0.0078125	(+.f64 x (.f64 (.f64 y z) z))
accuracy	0.15234375	(.f64 (.f64 y z) z)

Samples

13.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (65.3% of total)

ival-add: 1.0ms (21.8% of total)

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

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

series7.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

3 → 9

Calls

Call 1

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

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

Calls

9 calls:

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

simplify91.0ms (1.9%)

Memory

-20.4MiB live, 103.5MiB 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)

rewrite217.0ms (4.5%)

Memory

20.4MiB live, 258.2MiB 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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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal 2 binary64)) (-.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) (/.f64 (.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 x #s(literal 4 binary64)) (pow.f64 (.f64 (*.f64 z y) z) #s(literal 4 binary64)))))
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(/.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 (-.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))))))
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(/.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) (-.f64 x (.f64 (.f64 z y) z)))
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(neg.f64 (neg.f64 (fma.f64 (*.f64 z y) z x)))
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(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
(fma.f64 (exp.f64 (log.f64 y)) (*.f64 z z) x)
(fma.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 z)) x)
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 z y))) x)
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 1 binary64)) z x)
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (*.f64 z z) x)
(fma.f64 (/.f64 (.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)) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (*.f64 z y) z)))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x))) (fma.f64 (.f64 z y) z x) (neg.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 2 binary64)) (-.f64 x (.f64 (.f64 z y) z)))))
(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)))
(-.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 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)

eval34.0ms (0.7%)

Memory: 3.7MiB live, 41.5MiB allocated
Compiler: Compiled 5 924 to 493 computations (91.7% saved)

prune8.0ms (0.2%)

Memory

-22.4MiB live, 15.6MiB 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

99.9%

Counts

176 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.8%	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
▶	93.9%	(fma.f64 (*.f64 z z) y x)
▶	99.9%	(fma.f64 (*.f64 z y) z x)
▶	35.8%	(/.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))
	35.1%	(/.f64 (pow.f64 (-.f64 x (.f64 (.f64 z y) z)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (.f64 (pow.f64 z #s(literal 4 binary64)) y) (.f64 x x)) #s(literal -1 binary64)))
▶	43.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 166 to 112 computations (32.5% saved)

simplify69.0ms (1.4%)

Memory

28.8MiB live, 65.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	1	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
cost-diff	8	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
cost-diff	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: 0 (0.0ms)

Iter	Nodes	Cost
0	24	145
0	41	133
1	67	133
2	78	133
3	99	133
4	167	133
5	280	133
6	608	133
7	1527	133
8	2725	133
9	2840	133
10	2926	133
11	3018	133
12	3018	133
0	3018	133

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

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

localize113.0ms (2.4%)

Memory

-2.1MiB live, 124.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z y)
accuracy	0.07421875	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
accuracy	0.078125	(.f64 (.f64 z y) z)
accuracy	10.72418303689679	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
accuracy	0.078125	(.f64 (.f64 z y) z)
accuracy	1.8884967283569773	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
accuracy	2.235642753474042	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) y (.f64 (neg.f64 x) x))
accuracy	17.825373764606077	(/.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	1.7435726491329215	(fma.f64 (*.f64 z z) y x)
accuracy	0.0	(*.f64 z z)
accuracy	3.1210410421478367	(.f64 (.f64 z z) y)
accuracy	15.703691226574055	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
accuracy	0.0	(*.f64 z y)
accuracy	0.0390625	(fma.f64 (*.f64 z y) z x)

Samples

69.0ms	127×	0	invalid
22.0ms	129×	0	valid

Compiler

Compiled 146 to 27 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 35.0ms (71.2% of total)

ival-add: 5.0ms (10.2% of total)

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

ival-div: 2.0ms (4.1% of total)

ival-sqrt: 2.0ms (4.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.9%)

Memory

-9.1MiB live, 30.0MiB allocated

Counts

13 → 23

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))
(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
(.f64 (.f64 z y) z)

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

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	y	@	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) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (pow (* (* z y) z) 1/2) (* (* z y) z))
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) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (pow (* (* z y) z) 1/2) (* (* z y) z))
3.0ms	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) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (pow (* (* z y) z) 1/2) (* (* z y) z))
2.0ms	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) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (pow (* (* z y) z) 1/2) (* (* z y) z))
2.0ms	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) (+ (* (pow (* (* z y) z) 1/2) (pow (* (* z y) z) 1/2)) x) (pow (* (* z y) z) 1/2) (* (* z y) z))

simplify208.0ms (4.3%)

Memory

-14.3MiB live, 145.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	151
1	177	148
2	516	148
3	1550	148
4	3846	144
5	7026	144
0	8206	137

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

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

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

rewrite394.0ms (8.2%)

Memory

25.3MiB live, 267.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	102
0	41	77
1	159	77
2	953	74
0	8743	74

Stop Event

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

Counts

13 → 1 890

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))
(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) x)
(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
(.f64 (.f64 z y) z)

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

eval81.0ms (1.7%)

Memory: -1.2MiB live, 151.2MiB allocated
Compiler: Compiled 24 874 to 2 057 computations (91.7% saved)

prune21.0ms (0.4%)

Memory

-20.4MiB live, 56.2MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	824	7	831
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	827	10	837

Accuracy

100.0%

Counts

837 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y))))) x)
	47.1%	(fma.f64 (/.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (fma.f64 z (.f64 z y) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 z (*.f64 z y) (neg.f64 x)))))
	46.5%	(fma.f64 (/.f64 (.f64 (.f64 z (.f64 z y)) z) #s(literal 1 binary64)) (/.f64 (.f64 z y) (fma.f64 z (.f64 z y) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 z (*.f64 z y) (neg.f64 x)))))
✓	93.9%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
▶	35.8%	(/.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))
▶	25.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
✓	43.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	49.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
▶	25.8%	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 z y)) (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y)))))

Compiler

Compiled 349 to 203 computations (41.8% saved)

simplify139.0ms (2.9%)

Memory

15.8MiB live, 138.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
cost-diff	1	(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
cost-diff	4	(.f64 (.f64 z z) (*.f64 z z))
cost-diff	12	(/.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	(*.f64 z y)
cost-diff	0	(sqrt.f64 (*.f64 z y))
cost-diff	0	(.f64 (sqrt.f64 (.f64 z y)) (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y))))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 z y)) (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y)))))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(*.f64 z (sqrt.f64 y))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
cost-diff	4	(.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	0	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y))))) x)
cost-diff	2	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	282
0	56	272
1	100	264
2	173	254
3	346	254
4	767	243
5	1894	241
6	3696	241
7	7239	241
0	8150	237

Stop Event

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

Calls

Call 1

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

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

localize103.0ms (2.1%)

Memory

-2.9MiB live, 198.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 (.f64 z y) z)
accuracy	1.8884967283569773	(.f64 (.f64 (.f64 z z) (.f64 z z)) y)
accuracy	2.235642753474042	(fma.f64 (.f64 (.f64 (.f64 z z) (.f64 z z)) y) y (*.f64 (neg.f64 x) x))
accuracy	17.825373764606077	(/.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	0.1171875	(*.f64 z (sqrt.f64 y))
accuracy	0.15234375	(.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y)))
accuracy	7.226890618807179	(sqrt.f64 (*.f64 z y))
accuracy	15.703691226574055	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 z y)) (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y)))))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.1171875	(*.f64 z (sqrt.f64 y))
accuracy	0.135097509768442	(.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
accuracy	15.703691226574055	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
accuracy	0.0	(*.f64 z y)
accuracy	0.078125	(.f64 (.f64 z y) z)
accuracy	15.703691226574055	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
accuracy	0.16015625	(.f64 (sqrt.f64 (sqrt.f64 (.f64 z y))) (sqrt.f64 (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y)))))
accuracy	7.226890618807179	(sqrt.f64 (*.f64 z y))
accuracy	9.924537258697928	(sqrt.f64 (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y))))
accuracy	10.72418303689679	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))

Samples

46.0ms	129×	0	valid
29.0ms	127×	0	invalid

Compiler

Compiled 258 to 33 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 32.0ms (63.2% of total)

ival-sqrt: 11.0ms (21.7% of total)

ival-add: 3.0ms (5.9% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series267.0ms (5.6%)

Memory

-7.5MiB live, 192.0MiB allocated

Counts

19 → 36

Calls

Call 1

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

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)))
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))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* (sqrt y) z)
(* y z)
(sqrt y)
(sqrt (* y z))
(* y (pow z 4))
(exp (* 1/4 (+ (log y) (log (pow z 3)))))
(sqrt (* y (pow z 3)))
(* y (+ (/ x y) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(exp (* 1/4 (+ (log (pow z 3)) (* -1 (log (/ 1 y))))))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow z 2) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* (exp (* 1/4 (+ (log (pow z 3)) (* -1 (log (/ -1 y)))))) (sqrt (sqrt -1)))
(* -1 (* (sqrt (* y (pow z 3))) (pow (sqrt -1) 2)))
(pow z 4)
(exp (* 1/4 (+ (log y) (* 3 (log z)))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(exp (* 1/4 (+ (log y) (* -3 (log (/ 1 z))))))
(* -1 (* (sqrt y) z))
(* y (* (pow z 2) (pow (sqrt -1) 2)))
(* (pow z 2) (+ (* y (pow (sqrt -1) 2)) (/ x (pow z 2))))
(* (exp (* 1/4 (+ (log y) (* -3 (log (/ -1 z)))))) (sqrt (pow (sqrt -1) 3)))

Calls

9 calls:

Time	Variable		Point	Expression
102.0ms	z	@	-inf	((pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt (sqrt (* z y))) (sqrt (* (sqrt z) (* z (sqrt y)))))) x) (* (* z y) z) (* z y) (+ x (* (* y z) z)) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (sqrt (* z y)) (* (sqrt z) (* z (sqrt y)))) (sqrt (* z y)) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (* (* z z) (* z z)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (sqrt (* (sqrt z) (* z (sqrt y)))) (* (sqrt (sqrt (* z y))) (sqrt (* (sqrt z) (* z (sqrt y))))) (* (sqrt z) (* z (sqrt y))))
94.0ms	y	@	0	((pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt (sqrt (* z y))) (sqrt (* (sqrt z) (* z (sqrt y)))))) x) (* (* z y) z) (* z y) (+ x (* (* y z) z)) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (sqrt (* z y)) (* (sqrt z) (* z (sqrt y)))) (sqrt (* z y)) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (* (* z z) (* z z)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (sqrt (* (sqrt z) (* z (sqrt y)))) (* (sqrt (sqrt (* z y))) (sqrt (* (sqrt z) (* z (sqrt y))))) (* (sqrt z) (* z (sqrt y))))
25.0ms	y	@	-inf	((pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt (sqrt (* z y))) (sqrt (* (sqrt z) (* z (sqrt y)))))) x) (* (* z y) z) (* z y) (+ x (* (* y z) z)) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (sqrt (* z y)) (* (sqrt z) (* z (sqrt y)))) (sqrt (* z y)) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (* (* z z) (* z z)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (sqrt (* (sqrt z) (* z (sqrt y)))) (* (sqrt (sqrt (* z y))) (sqrt (* (sqrt z) (* z (sqrt y))))) (* (sqrt z) (* z (sqrt y))))
15.0ms	z	@	0	((pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt (sqrt (* z y))) (sqrt (* (sqrt z) (* z (sqrt y)))))) x) (* (* z y) z) (* z y) (+ x (* (* y z) z)) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (sqrt (* z y)) (* (sqrt z) (* z (sqrt y)))) (sqrt (* z y)) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (* (* z z) (* z z)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (sqrt (* (sqrt z) (* z (sqrt y)))) (* (sqrt (sqrt (* z y))) (sqrt (* (sqrt z) (* z (sqrt y))))) (* (sqrt z) (* z (sqrt y))))
14.0ms	y	@	inf	((pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt (sqrt (* z y))) (sqrt (* (sqrt z) (* z (sqrt y)))))) x) (* (* z y) z) (* z y) (+ x (* (* y z) z)) (* (* z (sqrt y)) (* z (sqrt y))) (+ x (* (* y z) z)) (* z (sqrt y)) (sqrt y) (+ x (* (* y z) z)) (* (sqrt (* z y)) (* (sqrt z) (* z (sqrt y)))) (sqrt (* z y)) (/ (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (- (* (* z y) z) x)) (* (* z z) (* z z)) (+ (* (* (* (* z z) (* z z)) y) y) (* (neg x) x)) (* (* (* z z) (* z z)) y) (sqrt (* (sqrt z) (* z (sqrt y)))) (* (sqrt (sqrt (* z y))) (sqrt (* (sqrt z) (* z (sqrt y))))) (* (sqrt z) (* z (sqrt y))))

simplify141.0ms (2.9%)

Memory

-4.5MiB live, 158.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	273
1	314	261
2	856	251
3	2237	237
4	5387	232
0	8103	225

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

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)))
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))
(* -1 (* x (- (* -1 (/ (* y (pow z 2)) x)) 1)))
(* (sqrt y) z)
(* y z)
(sqrt y)
(sqrt (* y z))
(* y (pow z 4))
(exp (* 1/4 (+ (log y) (log (pow z 3)))))
(sqrt (* y (pow z 3)))
(* y (+ (/ x y) (pow z 2)))
(* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (pow z 4)))
(exp (* 1/4 (+ (log (pow z 3)) (* -1 (log (/ 1 y))))))
(* -1 (* (sqrt y) (* z (pow (sqrt -1) 2))))
(* -1 (* y (* (pow z 2) (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow z 2) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (pow z 2)))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* (exp (* 1/4 (+ (log (pow z 3)) (* -1 (log (/ -1 y)))))) (sqrt (sqrt -1)))
(* -1 (* (sqrt (* y (pow z 3))) (pow (sqrt -1) 2)))
(pow z 4)
(exp (* 1/4 (+ (log y) (* 3 (log z)))))
(* (pow z 2) (+ y (/ x (pow z 2))))
(* (pow z 4) (+ (* -1 (/ (pow x 2) (pow z 4))) (pow y 2)))
(exp (* 1/4 (+ (log y) (* -3 (log (/ 1 z))))))
(* -1 (* (sqrt y) z))
(* y (* (pow z 2) (pow (sqrt -1) 2)))
(* (pow z 2) (+ (* y (pow (sqrt -1) 2)) (/ x (pow z 2))))
(* (exp (* 1/4 (+ (log y) (* -3 (log (/ -1 z)))))) (sqrt (pow (sqrt -1) 3)))

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

rewrite216.0ms (4.5%)

Memory

19.8MiB live, 246.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	202
0	56	161
1	180	153
2	1019	120
0	9061	115

Stop Event

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

Counts

19 → 1 115

Calls

Call 1

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

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

eval157.0ms (3.3%)

Memory: 7.9MiB live, 121.1MiB allocated
Compiler: Compiled 26 349 to 2 297 computations (91.3% saved)

prune22.0ms (0.5%)

Memory

-9.5MiB live, 64.8MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	873	2	875
Fresh	0	2	2
Picked	1	4	5
Done	0	3	3
Total	874	11	885

Accuracy

100.0%

Counts

885 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.1%	(fma.f64 (/.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (fma.f64 z (.f64 z y) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 z (*.f64 z y) (neg.f64 x)))))
▶	46.5%	(fma.f64 (/.f64 (.f64 (.f64 z (.f64 z y)) z) #s(literal 1 binary64)) (/.f64 (.f64 z y) (fma.f64 z (.f64 z y) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 z (*.f64 z y) (neg.f64 x)))))
✓	93.9%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	35.8%	(/.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))
▶	23.1%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 z z) (sqrt.f64 y)) (sqrt.f64 y)))
▶	25.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y)))))
✓	25.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
✓	43.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	49.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))
✓	25.8%	#s(approx (+ x (* (* y z) z)) (.f64 (sqrt.f64 (.f64 z y)) (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y)))))

Compiler

Compiled 202 to 119 computations (41.1% saved)

simplify207.0ms (4.3%)

Memory

2.6MiB live, 129.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	1	(neg.f64 (/.f64 (.f64 x x) (fma.f64 z (.f64 z y) (neg.f64 x))))
cost-diff	2	(.f64 (.f64 z (.f64 z y)) (.f64 z y))
cost-diff	2	(/.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z y)) #s(literal 1 binary64))
cost-diff	3	(fma.f64 (/.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (fma.f64 z (.f64 z y) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 z (*.f64 z y) (neg.f64 x)))))
cost-diff	1	(neg.f64 (/.f64 (.f64 x x) (fma.f64 z (.f64 z y) (neg.f64 x))))
cost-diff	2	(.f64 (.f64 z (*.f64 z y)) z)
cost-diff	2	(/.f64 (.f64 (.f64 z (*.f64 z y)) z) #s(literal 1 binary64))
cost-diff	3	(fma.f64 (/.f64 (.f64 (.f64 z (.f64 z y)) z) #s(literal 1 binary64)) (/.f64 (.f64 z y) (fma.f64 z (.f64 z y) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 z (*.f64 z y) (neg.f64 x)))))
cost-diff	0	(*.f64 z z)
cost-diff	0	(.f64 (.f64 z z) (sqrt.f64 y))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 z z) (sqrt.f64 y)) (sqrt.f64 y)))
cost-diff	4	(.f64 (.f64 (*.f64 z z) (sqrt.f64 y)) (sqrt.f64 y))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(*.f64 (sqrt.f64 z) (sqrt.f64 y))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y)))))
cost-diff	8	(.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	311
0	59	327
1	125	327
2	265	263
3	742	261
4	1968	259
5	3919	259
6	5357	259
7	5888	259
8	6172	259
9	7260	259
10	7274	259
11	7279	259
12	7984	259
0	8001	255

Stop Event

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

Calls

Call 1

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

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

localize144.0ms (3%)

Memory

18.5MiB live, 222.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 z (.f64 z y))
accuracy	3.386259360495575	(/.f64 z (fma.f64 z (*.f64 z y) (neg.f64 x)))
accuracy	5.794136932008632	(fma.f64 (/.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (fma.f64 z (.f64 z y) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 z (*.f64 z y) (neg.f64 x)))))
accuracy	10.213251161663734	(/.f64 (.f64 x x) (fma.f64 z (.f64 z y) (neg.f64 x)))
accuracy	0.078125	(.f64 z (.f64 z y))
accuracy	2.850211274546537	(fma.f64 (/.f64 (.f64 (.f64 z (.f64 z y)) z) #s(literal 1 binary64)) (/.f64 (.f64 z y) (fma.f64 z (.f64 z y) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 z (*.f64 z y) (neg.f64 x)))))
accuracy	8.499516206667941	(/.f64 (.f64 z y) (fma.f64 z (.f64 z y) (neg.f64 x)))
accuracy	10.213251161663734	(/.f64 (.f64 x x) (fma.f64 z (.f64 z y) (neg.f64 x)))
accuracy	0.0	(sqrt.f64 y)
accuracy	1.0713217749731898	(.f64 (.f64 (*.f64 z z) (sqrt.f64 y)) (sqrt.f64 y))
accuracy	2.03491673616369	(.f64 (.f64 z z) (sqrt.f64 y))
accuracy	15.703691226574055	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 z z) (sqrt.f64 y)) (sqrt.f64 y)))
accuracy	0.1171875	(*.f64 z (sqrt.f64 y))
accuracy	0.15234375	(.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y)))
accuracy	0.162441259768442	(*.f64 (sqrt.f64 z) (sqrt.f64 y))
accuracy	15.703691226574055	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y)))))

Samples

61.0ms	129×	0	valid
43.0ms	127×	0	invalid

Compiler

Compiled 303 to 35 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-neg: 28.0ms (32.9% of total)

ival-mult: 27.0ms (31.7% of total)

ival-add: 19.0ms (22.3% of total)

ival-div: 8.0ms (9.4% of total)

ival-sqrt: 3.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series46.0ms (1%)

Memory

-6.4MiB live, 74.2MiB allocated

Counts

22 → 134

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((* (* (sqrt z) (sqrt y)) (* (sqrt z) (* z (sqrt y)))) (+ x (* (* y z) z)) (* (sqrt z) (sqrt y)) (sqrt z) (* (* (* z z) (sqrt y)) (sqrt y)) (+ x (* (* y z) z)) (* (* z z) (sqrt y)) (* z z) (+ (* (/ (* (* z (* z y)) z) 1) (/ (* z y) (+ (* z (* z y)) (neg x)))) (neg (/ (* x x) (+ (* z (* z y)) (neg x))))) (/ (* (* z (* z y)) z) 1) (* (* z (* z y)) z) (neg (/ (* x x) (+ (* z (* z y)) (neg x)))) (+ (* (/ (* (* z (* z y)) (* z y)) 1) (/ z (+ (* z (* z y)) (neg x)))) (neg (/ (* x x) (+ (* z (* z y)) (neg x))))) (/ (* (* z (* z y)) (* z y)) 1) (* (* z (* z y)) (* z y)) (* (sqrt z) (* z (sqrt y))) (* z (sqrt y)) (sqrt y) (/ (* x x) (+ (* z (* z y)) (neg x))) (/ (* z y) (+ (* z (* z y)) (neg x))) (* z (* z y)) (/ z (+ (* z (* z y)) (neg x))))
6.0ms	z	@	-inf	((* (* (sqrt z) (sqrt y)) (* (sqrt z) (* z (sqrt y)))) (+ x (* (* y z) z)) (* (sqrt z) (sqrt y)) (sqrt z) (* (* (* z z) (sqrt y)) (sqrt y)) (+ x (* (* y z) z)) (* (* z z) (sqrt y)) (* z z) (+ (* (/ (* (* z (* z y)) z) 1) (/ (* z y) (+ (* z (* z y)) (neg x)))) (neg (/ (* x x) (+ (* z (* z y)) (neg x))))) (/ (* (* z (* z y)) z) 1) (* (* z (* z y)) z) (neg (/ (* x x) (+ (* z (* z y)) (neg x)))) (+ (* (/ (* (* z (* z y)) (* z y)) 1) (/ z (+ (* z (* z y)) (neg x)))) (neg (/ (* x x) (+ (* z (* z y)) (neg x))))) (/ (* (* z (* z y)) (* z y)) 1) (* (* z (* z y)) (* z y)) (* (sqrt z) (* z (sqrt y))) (* z (sqrt y)) (sqrt y) (/ (* x x) (+ (* z (* z y)) (neg x))) (/ (* z y) (+ (* z (* z y)) (neg x))) (* z (* z y)) (/ z (+ (* z (* z y)) (neg x))))
6.0ms	z	@	0	((* (* (sqrt z) (sqrt y)) (* (sqrt z) (* z (sqrt y)))) (+ x (* (* y z) z)) (* (sqrt z) (sqrt y)) (sqrt z) (* (* (* z z) (sqrt y)) (sqrt y)) (+ x (* (* y z) z)) (* (* z z) (sqrt y)) (* z z) (+ (* (/ (* (* z (* z y)) z) 1) (/ (* z y) (+ (* z (* z y)) (neg x)))) (neg (/ (* x x) (+ (* z (* z y)) (neg x))))) (/ (* (* z (* z y)) z) 1) (* (* z (* z y)) z) (neg (/ (* x x) (+ (* z (* z y)) (neg x)))) (+ (* (/ (* (* z (* z y)) (* z y)) 1) (/ z (+ (* z (* z y)) (neg x)))) (neg (/ (* x x) (+ (* z (* z y)) (neg x))))) (/ (* (* z (* z y)) (* z y)) 1) (* (* z (* z y)) (* z y)) (* (sqrt z) (* z (sqrt y))) (* z (sqrt y)) (sqrt y) (/ (* x x) (+ (* z (* z y)) (neg x))) (/ (* z y) (+ (* z (* z y)) (neg x))) (* z (* z y)) (/ z (+ (* z (* z y)) (neg x))))
6.0ms	y	@	-inf	((* (* (sqrt z) (sqrt y)) (* (sqrt z) (* z (sqrt y)))) (+ x (* (* y z) z)) (* (sqrt z) (sqrt y)) (sqrt z) (* (* (* z z) (sqrt y)) (sqrt y)) (+ x (* (* y z) z)) (* (* z z) (sqrt y)) (* z z) (+ (* (/ (* (* z (* z y)) z) 1) (/ (* z y) (+ (* z (* z y)) (neg x)))) (neg (/ (* x x) (+ (* z (* z y)) (neg x))))) (/ (* (* z (* z y)) z) 1) (* (* z (* z y)) z) (neg (/ (* x x) (+ (* z (* z y)) (neg x)))) (+ (* (/ (* (* z (* z y)) (* z y)) 1) (/ z (+ (* z (* z y)) (neg x)))) (neg (/ (* x x) (+ (* z (* z y)) (neg x))))) (/ (* (* z (* z y)) (* z y)) 1) (* (* z (* z y)) (* z y)) (* (sqrt z) (* z (sqrt y))) (* z (sqrt y)) (sqrt y) (/ (* x x) (+ (* z (* z y)) (neg x))) (/ (* z y) (+ (* z (* z y)) (neg x))) (* z (* z y)) (/ z (+ (* z (* z y)) (neg x))))
5.0ms	z	@	inf	((* (* (sqrt z) (sqrt y)) (* (sqrt z) (* z (sqrt y)))) (+ x (* (* y z) z)) (* (sqrt z) (sqrt y)) (sqrt z) (* (* (* z z) (sqrt y)) (sqrt y)) (+ x (* (* y z) z)) (* (* z z) (sqrt y)) (* z z) (+ (* (/ (* (* z (* z y)) z) 1) (/ (* z y) (+ (* z (* z y)) (neg x)))) (neg (/ (* x x) (+ (* z (* z y)) (neg x))))) (/ (* (* z (* z y)) z) 1) (* (* z (* z y)) z) (neg (/ (* x x) (+ (* z (* z y)) (neg x)))) (+ (* (/ (* (* z (* z y)) (* z y)) 1) (/ z (+ (* z (* z y)) (neg x)))) (neg (/ (* x x) (+ (* z (* z y)) (neg x))))) (/ (* (* z (* z y)) (* z y)) 1) (* (* z (* z y)) (* z y)) (* (sqrt z) (* z (sqrt y))) (* z (sqrt y)) (sqrt y) (/ (* x x) (+ (* z (* z y)) (neg x))) (/ (* z y) (+ (* z (* z y)) (neg x))) (* z (* z y)) (/ z (+ (* z (* z y)) (neg x))))

simplify140.0ms (2.9%)

Memory

-2.4MiB live, 189.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	635	3024
1	2068	2847
2	6749	2800
0	8056	2691

Stop Event

1×	iter limit
1×	node limit

Counts

134 → 133

Calls

Call 1

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

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

rewrite231.0ms (4.8%)

Memory

-26.8MiB live, 268.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	239
0	59	241
1	213	183
2	1681	148
0	8609	144

Stop Event

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

Counts

22 → 1 247

Calls

Call 1

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

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

eval121.0ms (2.5%)

Memory: 36.9MiB live, 189.9MiB allocated
Compiler: Compiled 38 256 to 2 725 computations (92.9% saved)

prune47.0ms (1%)

Memory

0.7MiB live, 74.4MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1 025	4	1 029
Fresh	0	0	0
Picked	2	2	4
Done	1	6	7
Total	1 028	12	1 040

Accuracy

100.0%

Counts

1 040 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.6%	(fma.f64 (/.f64 (.f64 (.f64 z (.f64 z y)) (.f64 z y)) #s(literal 1 binary64)) (/.f64 z (fma.f64 z (.f64 z y) (neg.f64 x))) (neg.f64 #s(approx (/ ( x x) (+ (* z (* z y)) (neg x))) (neg.f64 x))))
	67.4%	(fma.f64 (/.f64 (.f64 (.f64 z (.f64 z y)) z) #s(literal 1 binary64)) (/.f64 (.f64 z y) (fma.f64 z (.f64 z y) (neg.f64 x))) (neg.f64 #s(approx (/ ( x x) (+ (* z (* z y)) (neg x))) (neg.f64 x))))
	40.9%	(fma.f64 (.f64 (.f64 (.f64 y z) y) (.f64 z z)) (/.f64 z (fma.f64 z (.f64 z y) (neg.f64 x))) (neg.f64 (/.f64 (.f64 x x) (fma.f64 z (*.f64 z y) (neg.f64 x)))))
✓	93.9%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	35.8%	(/.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))
✓	23.1%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 z z) (sqrt.f64 y)) (sqrt.f64 y)))
	25.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (.f64 (sqrt.f64 (.f64 y z)) z)))
✓	25.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (.f64 (sqrt.f64 z) (.f64 z (sqrt.f64 y)))))
✓	25.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y))))
✓	43.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	49.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Compiler

Compiled 656 to 233 computations (64.5% saved)

regimes37.0ms (0.8%)

Memory

-26.4MiB live, 56.5MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	(.f64 (.f64 y z) z)
8.0ms	x
6.0ms	z
6.0ms	y
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)

regimes7.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Accuracy

Total -3.8b remaining (-11.8%)

Threshold costs -3.8b (-11.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
49.7%	1	`x`
49.7%	1	`y`
49.7%	1	`z`
49.7%	1	`(+.f64 x (.f64 (.f64 y z) z))`
49.7%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

simplify8.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	15	19
2	16	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness432.0ms (9%)

Memory

-40.1MiB live, 250.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	102
0	41	77
1	159	77
2	953	74
0	8743	74
0	28	51
1	87	51
2	241	51
3	716	51
4	2180	51
5	4432	51
6	7156	51
0	8234	45
0	6	15
0	9	15
1	27	15
2	179	15
3	1792	15
0	8600	14

Stop Event

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

Compiler

Compiled 56 to 33 computations (41.1% saved)

preprocess17.0ms (0.4%)

Memory: 24.1MiB live, 24.1MiB allocated
Remove: (abs z)
Compiler: Compiled 64 to 42 computations (34.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample911.0ms (19%)

explain66.0ms (1.4%)

preprocess33.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize17.0ms (0.4%)

series7.0ms (0.1%)

simplify91.0ms (1.9%)

rewrite217.0ms (4.5%)

eval34.0ms (0.7%)

prune8.0ms (0.2%)

simplify69.0ms (1.4%)

localize113.0ms (2.4%)

series42.0ms (0.9%)

simplify208.0ms (4.3%)

rewrite394.0ms (8.2%)

eval81.0ms (1.7%)

prune21.0ms (0.4%)

simplify139.0ms (2.9%)

localize103.0ms (2.1%)

series267.0ms (5.6%)

simplify141.0ms (2.9%)

rewrite216.0ms (4.5%)

eval157.0ms (3.3%)

prune22.0ms (0.5%)

simplify207.0ms (4.3%)

localize144.0ms (3%)

series46.0ms (1%)

simplify140.0ms (2.9%)

rewrite231.0ms (4.8%)

eval121.0ms (2.5%)

prune47.0ms (1%)

regimes37.0ms (0.8%)

regimes7.0ms (0.1%)

simplify8.0ms (0.2%)

soundness432.0ms (9%)

preprocess17.0ms (0.4%)

end0.0ms (0%)

Profiling