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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample782.0ms (16.7%)

Memory

38.1MiB live, 1 187.9MiB allocated

Samples

552.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-mult: 148.0ms (73% of total)

ival-add: 45.0ms (22.2% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain115.0ms (2.5%)

Memory

-36.1MiB live, 124.3MiB 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

31.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-mult: 7.0ms (67.7% of total)

ival-add: 2.0ms (19.3% of total)

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

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

preprocess31.0ms (0.7%)

Memory

12.8MiB live, 49.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs z)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify2.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.4%)

Memory

1.4MiB live, 37.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y z)
accuracy	0.00390625	(+.f64 x (.f64 (.f64 y z) z))
accuracy	0.10546875	(.f64 (.f64 y z) z)

Samples

14.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 6.0ms (79.4% of total)

ival-add: 1.0ms (13.2% of total)

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

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

series12.0ms (0.3%)

Memory

-21.6MiB live, 26.1MiB allocated

Counts

3 → 84

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())

Inputs

#s(alt #<batchref> (patch (+.f64 x (*.f64 (*.f64 y z) z)) #<representation binary64>) () ())

#s(alt #<batchref> (patch (*.f64 (*.f64 y z) z) #<representation binary64>) () ())

#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 y z) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x (.f64 (.f64 y z) z)) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify103.0ms (2.2%)

Memory

8.7MiB live, 118.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	410
1	87	410
2	237	410
3	702	410
4	2129	410
5	4262	410
6	6911	410
0	8031	383

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 80

Calls

Call 1

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

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

rewrite240.0ms (5.1%)

Memory

24.5MiB live, 287.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 172

Calls

Call 1

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

Outputs
#<batchref>
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eval34.0ms (0.7%)

Memory: -10.3MiB live, 72.9MiB allocated
Compiler: Compiled 6 905 to 495 computations (92.8% saved)

prune7.0ms (0.2%)

Memory

34.5MiB live, 34.5MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	248	4	252
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	248	5	253

Accuracy

100.0%

Counts

253 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.5%	(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)
▶	92.2%	(fma.f64 (*.f64 z z) y x)
▶	99.9%	(fma.f64 (*.f64 z y) z x)
✓	99.9%	(+.f64 x (.f64 (.f64 y z) z))
▶	51.5%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Compiler

Compiled 48 to 33 computations (31.3% saved)

simplify5.0ms (0.1%)

Memory

-27.8MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	82
0	25	70
1	38	70
2	40	70
3	41	70
0	41	70

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize85.0ms (1.8%)

Memory

-0.3MiB live, 121.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0.0703125	(.f64 (.f64 z y) z)
accuracy	0.09603500976844201	(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	10.290637305054972	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
accuracy	0	(*.f64 z z)
accuracy	3.3076010941006753	(fma.f64 (*.f64 z z) y x)
accuracy	0	(*.f64 z y)
accuracy	0.0546875	(fma.f64 (*.f64 z y) z x)
accuracy	0	(*.f64 z z)
accuracy	5.39723263508424	(.f64 (.f64 z z) y)
accuracy	14.105424581586893	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))

Samples

16.0ms	136×	0	valid
14.0ms	120×	0	invalid

Compiler

Compiled 163 to 34 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 10.0ms (54.9% of total)

ival-add: 6.0ms (32.9% of total)

ival-sqrt: 2.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

9 → 252

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (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) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z y) z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (*.f64 z z) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (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) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify118.0ms (2.5%)

Memory

-4.1MiB live, 103.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	1320
1	127	1320
2	372	1320
3	1020	1320
4	2495	1320
5	4947	1320
6	7139	1320
7	7887	1320
0	8071	1212

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 236

Calls

Call 1

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

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

rewrite375.0ms (8%)

Memory

-29.3MiB live, 236.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	64
0	25	52
1	108	52
2	525	50
3	5091	50
0	8257	50

Stop Event

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

Counts

9 → 577

Calls

Call 1

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

Outputs
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eval293.0ms (6.3%)

Memory: 29.4MiB live, 143.2MiB allocated
Compiler: Compiled 23 192 to 1 067 computations (95.4% saved)

prune89.0ms (1.9%)

Memory

12.3MiB live, 85.0MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 070	6	1 076
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	1 071	10	1 081

Accuracy

100.0%

Counts

1 081 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x)
	48.5%	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 z z) y) x)))))
✓	92.2%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	99.9%	(+.f64 x (.f64 (.f64 y z) z))
▶	29.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y))))
▶	57.6%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z)))
▶	30.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y)))
✓	51.5%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
▶	57.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Compiler

Compiled 244 to 163 computations (33.2% saved)

simplify27.0ms (0.6%)

Memory

-32.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 z #s(literal 3/2 binary64))
cost-diff	0	(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y))))
cost-diff	960	(.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) z)
cost-diff	1600	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x)
cost-diff	6144	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 z)
cost-diff	0	(.f64 (sqrt.f64 z) (.f64 z y))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z)))
cost-diff	1600	(.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))
cost-diff	0	(*.f64 z (sqrt.f64 y))
cost-diff	0	(.f64 z (.f64 z (sqrt.f64 y)))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y)))
cost-diff	1600	(.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	191
0	45	171
1	73	171
2	110	171
3	126	170
4	163	170
5	240	160
6	255	160
7	276	160
8	281	160
0	281	155

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize116.0ms (2.5%)

Memory

-1.1MiB live, 86.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.13671875	(.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))
accuracy	2.458812433454348	(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y))
accuracy	5.017792373726585	(sqrt.f64 (*.f64 z y))
accuracy	14.105424581586893	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y))))
accuracy	0.0703125	(.f64 (.f64 z y) z)
accuracy	0.09603500976844201	(fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x)
accuracy	0.11328125	(*.f64 (sqrt.f64 y) z)
accuracy	10.290637305054972	(pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64))
accuracy	0	(sqrt.f64 z)
accuracy	0.1328125	(.f64 (sqrt.f64 z) (.f64 z y))
accuracy	0.146816259768442	(.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))
accuracy	14.105424581586893	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z)))
accuracy	0.078125	(.f64 z (.f64 z (sqrt.f64 y)))
accuracy	0.11328125	(*.f64 z (sqrt.f64 y))
accuracy	1.701450913386426	(.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y))
accuracy	14.105424581586893	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y)))
accuracy	0	(*.f64 z y)
accuracy	0.0703125	(.f64 (.f64 z y) z)
accuracy	14.105424581586893	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Samples

31.0ms	120×	0	invalid
27.0ms	136×	0	valid

Compiler

Compiled 347 to 55 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 26.0ms (62.5% of total)

ival-sqrt: 6.0ms (14.4% of total)

ival-pow: 6.0ms (14.4% of total)

ival-add: 2.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series69.0ms (1.5%)

Memory

12.3MiB live, 49.5MiB allocated

Counts

19 → 492

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 z (.f64 z (sqrt.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (sqrt.f64 z) (.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 z #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (*.f64 z y)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 z (.f64 z (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 z (.f64 z (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 z (.f64 z (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 z (.f64 z (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 z (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 z) (.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 z) (.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 z) (.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 z) (.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (sqrt.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (sqrt.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (sqrt.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (sqrt.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 z #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 z #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 z #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 z #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 y) z) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (sqrt.f64 z) (*.f64 z y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (pow.f64 (.f64 (.f64 z y) z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 y) z) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 y)) (sqrt.f64 (*.f64 z y)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	((+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (* z (sqrt y))) (sqrt y)) (+ x (* (* y z) z)) (* z (* z (sqrt y))) (* z (sqrt y)) (* (* (sqrt z) (* z y)) (sqrt z)) (+ x (* (* y z) z)) (* (sqrt z) (* z y)) (sqrt z) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt y) z)) x) (* (* (pow z 3/2) (sqrt y)) (sqrt (* z y))) (+ x (* (* y z) z)) (* (pow z 3/2) (sqrt y)) (pow z 3/2) (* (sqrt y) z) (sqrt (* z y)))
5.0ms	y	@	-inf	((+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (* z (sqrt y))) (sqrt y)) (+ x (* (* y z) z)) (* z (* z (sqrt y))) (* z (sqrt y)) (* (* (sqrt z) (* z y)) (sqrt z)) (+ x (* (* y z) z)) (* (sqrt z) (* z y)) (sqrt z) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt y) z)) x) (* (* (pow z 3/2) (sqrt y)) (sqrt (* z y))) (+ x (* (* y z) z)) (* (pow z 3/2) (sqrt y)) (pow z 3/2) (* (sqrt y) z) (sqrt (* z y)))
4.0ms	z	@	0	((+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (* z (sqrt y))) (sqrt y)) (+ x (* (* y z) z)) (* z (* z (sqrt y))) (* z (sqrt y)) (* (* (sqrt z) (* z y)) (sqrt z)) (+ x (* (* y z) z)) (* (sqrt z) (* z y)) (sqrt z) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt y) z)) x) (* (* (pow z 3/2) (sqrt y)) (sqrt (* z y))) (+ x (* (* y z) z)) (* (pow z 3/2) (sqrt y)) (pow z 3/2) (* (sqrt y) z) (sqrt (* z y)))
3.0ms	z	@	inf	((+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (* z (sqrt y))) (sqrt y)) (+ x (* (* y z) z)) (* z (* z (sqrt y))) (* z (sqrt y)) (* (* (sqrt z) (* z y)) (sqrt z)) (+ x (* (* y z) z)) (* (sqrt z) (* z y)) (sqrt z) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt y) z)) x) (* (* (pow z 3/2) (sqrt y)) (sqrt (* z y))) (+ x (* (* y z) z)) (* (pow z 3/2) (sqrt y)) (pow z 3/2) (* (sqrt y) z) (sqrt (* z y)))
3.0ms	y	@	0	((+ x (* (* y z) z)) (* (* z y) z) (* z y) (* (* z (* z (sqrt y))) (sqrt y)) (+ x (* (* y z) z)) (* z (* z (sqrt y))) (* z (sqrt y)) (* (* (sqrt z) (* z y)) (sqrt z)) (+ x (* (* y z) z)) (* (sqrt z) (* z y)) (sqrt z) (pow (* (* z y) z) 1/2) (+ (* (pow (* (* z y) z) 1/2) (* (sqrt y) z)) x) (* (* (pow z 3/2) (sqrt y)) (sqrt (* z y))) (+ x (* (* y z) z)) (* (pow z 3/2) (sqrt y)) (pow z 3/2) (* (sqrt y) z) (sqrt (* z y)))

simplify113.0ms (2.4%)

Memory

-0.7MiB live, 154.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	2614
1	193	2563
2	576	2559
3	1575	2547
4	3985	2547
5	6076	2547
0	8118	2415

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 472

Calls

Call 1

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

rewrite240.0ms (5.1%)

Memory

9.5MiB live, 264.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	158
0	45	126
1	121	125
2	513	120
3	4959	120
0	8426	115

Stop Event

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

Counts

19 → 607

Calls

Call 1

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

Outputs
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eval202.0ms (4.3%)

Memory: 12.5MiB live, 382.2MiB allocated
Compiler: Compiled 27 732 to 1 698 computations (93.9% saved)

prune85.0ms (1.8%)

Memory

-8.7MiB live, 212.1MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 334	2	1 336
Fresh	0	1	1
Picked	3	2	5
Done	0	4	4
Total	1 337	9	1 346

Accuracy

100.0%

Counts

1 346 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.5%	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 z z) y) x)))))
✓	92.2%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	99.9%	(+.f64 x (.f64 (.f64 y z) z))
▶	30.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z)))
▶	57.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)))
✓	30.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y)))
✓	51.5%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	57.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Compiler

Compiled 126 to 84 computations (33.3% saved)

simplify191.0ms (4.1%)

Memory

-6.9MiB live, 71.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 z #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
cost-diff	128	(neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 z z) y) x))))
cost-diff	1408	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 z z) y) x)))))
cost-diff	0	(.f64 (sqrt.f64 (.f64 z y)) z)
cost-diff	0	(.f64 (.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 y))
cost-diff	0	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z))
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z)))
cost-diff	0	(*.f64 (sqrt.f64 z) y)
cost-diff	0	(.f64 (.f64 (sqrt.f64 z) y) z)
cost-diff	0	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)))
cost-diff	1600	(.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	195
0	50	199
1	91	199
2	166	187
3	256	185
4	419	185
5	806	185
6	1710	180
7	2670	180
8	2989	180
9	3733	180
10	3968	180
11	4036	178
12	4099	178
13	4238	178
14	4366	178
15	4590	178
16	4692	178
17	4692	178
18	4824	178
19	4989	178
20	4989	178
21	4989	178
22	4989	178
0	4989	176

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (1.9%)

Memory

15.9MiB live, 209.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	1.7076147581073433	(/.f64 y (-.f64 (.f64 (.f64 z z) y) x))
accuracy	2.165680093549229	(*.f64 (pow.f64 z #s(literal 4 binary64)) y)
accuracy	5.39723263508424	(.f64 (.f64 z z) y)
accuracy	10.449444546731447	(fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 z z) y) x)))))
accuracy	0.146816259768442	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z))
accuracy	2.0947819299024983	(.f64 (.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 y))
accuracy	5.017792373726585	(sqrt.f64 (*.f64 z y))
accuracy	14.105424581586893	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z)))
accuracy	0.1171875	(*.f64 (sqrt.f64 z) y)
accuracy	0.125	(.f64 (.f64 (sqrt.f64 z) y) z)
accuracy	0.146816259768442	(.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z))
accuracy	14.105424581586893	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)))

Samples

40.0ms	120×	0	invalid
29.0ms	136×	0	valid

Compiler

Compiled 370 to 59 computations (84.1% saved)

Precisions

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

ival-mult: 28.0ms (63.9% of total)

ival-sqrt: 5.0ms (11.4% of total)

ival-div: 3.0ms (6.8% of total)

ival-pow: 3.0ms (6.8% of total)

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

ival-sub: 1.0ms (2.3% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series60.0ms (1.3%)

Memory

7.9MiB live, 166.0MiB allocated

Counts

15 → 408

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 z) y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 z) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (sqrt.f64 (.f64 z y)) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 z z) y) x))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 z z) y) x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 z #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (*.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 z) y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 z) y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 z) y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 z) y) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 (sqrt.f64 (*.f64 z y)) z) (sqrt.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 (.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 (.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 (.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (sqrt.f64 (.f64 z y)) z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 z z) y) x))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 z z) y) x))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 z z) y) x))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) y) (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (.f64 z z) y) x))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 z z) y) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 z z) y) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 z z) y) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 z z) y) x)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 z #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 z #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 z #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (pow.f64 z #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (sqrt.f64 (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (sqrt.f64 (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (sqrt.f64 (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (sqrt.f64 (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (.f64 (.f64 z z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	z	@	0	((* (* (* (sqrt z) y) z) (sqrt z)) (+ x (* (* y z) z)) (* (* (sqrt z) y) z) (* (sqrt z) y) (+ x (* (* y z) z)) (* (* (* (sqrt (* z y)) z) (sqrt y)) (sqrt z)) (* (* (sqrt (* z y)) z) (sqrt y)) (* (sqrt (* z y)) z) (+ (* (* (pow z 4) y) (/ y (- (* (* z z) y) x))) (neg (* x (/ x (- (* (* z z) y) x))))) (neg (* x (/ x (- (* (* z z) y) x)))) (* (pow z 4) y) (pow z 4) (sqrt (* z y)) (* (* z z) y) (/ y (- (* (* z z) y) x)))
8.0ms	z	@	-inf	((* (* (* (sqrt z) y) z) (sqrt z)) (+ x (* (* y z) z)) (* (* (sqrt z) y) z) (* (sqrt z) y) (+ x (* (* y z) z)) (* (* (* (sqrt (* z y)) z) (sqrt y)) (sqrt z)) (* (* (sqrt (* z y)) z) (sqrt y)) (* (sqrt (* z y)) z) (+ (* (* (pow z 4) y) (/ y (- (* (* z z) y) x))) (neg (* x (/ x (- (* (* z z) y) x))))) (neg (* x (/ x (- (* (* z z) y) x)))) (* (pow z 4) y) (pow z 4) (sqrt (* z y)) (* (* z z) y) (/ y (- (* (* z z) y) x)))
7.0ms	y	@	-inf	((* (* (* (sqrt z) y) z) (sqrt z)) (+ x (* (* y z) z)) (* (* (sqrt z) y) z) (* (sqrt z) y) (+ x (* (* y z) z)) (* (* (* (sqrt (* z y)) z) (sqrt y)) (sqrt z)) (* (* (sqrt (* z y)) z) (sqrt y)) (* (sqrt (* z y)) z) (+ (* (* (pow z 4) y) (/ y (- (* (* z z) y) x))) (neg (* x (/ x (- (* (* z z) y) x))))) (neg (* x (/ x (- (* (* z z) y) x)))) (* (pow z 4) y) (pow z 4) (sqrt (* z y)) (* (* z z) y) (/ y (- (* (* z z) y) x)))
4.0ms	z	@	inf	((* (* (* (sqrt z) y) z) (sqrt z)) (+ x (* (* y z) z)) (* (* (sqrt z) y) z) (* (sqrt z) y) (+ x (* (* y z) z)) (* (* (* (sqrt (* z y)) z) (sqrt y)) (sqrt z)) (* (* (sqrt (* z y)) z) (sqrt y)) (* (sqrt (* z y)) z) (+ (* (* (pow z 4) y) (/ y (- (* (* z z) y) x))) (neg (* x (/ x (- (* (* z z) y) x))))) (neg (* x (/ x (- (* (* z z) y) x)))) (* (pow z 4) y) (pow z 4) (sqrt (* z y)) (* (* z z) y) (/ y (- (* (* z z) y) x)))
4.0ms	y	@	inf	((* (* (* (sqrt z) y) z) (sqrt z)) (+ x (* (* y z) z)) (* (* (sqrt z) y) z) (* (sqrt z) y) (+ x (* (* y z) z)) (* (* (* (sqrt (* z y)) z) (sqrt y)) (sqrt z)) (* (* (sqrt (* z y)) z) (sqrt y)) (* (sqrt (* z y)) z) (+ (* (* (pow z 4) y) (/ y (- (* (* z z) y) x))) (neg (* x (/ x (- (* (* z z) y) x))))) (neg (* x (/ x (- (* (* z z) y) x)))) (* (pow z 4) y) (pow z 4) (sqrt (* z y)) (* (* z z) y) (/ y (- (* (* z z) y) x)))

simplify151.0ms (3.2%)

Memory

-20.7MiB live, 271.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	387	3588
1	1218	3536
2	3967	3487
0	8882	3361

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 392

Calls

Call 1

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

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

rewrite157.0ms (3.3%)

Memory

11.1MiB live, 244.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	148
0	50	143
1	153	123
2	872	100
0	8881	97

Stop Event

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

Counts

15 → 523

Calls

Call 1

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

Outputs
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eval168.0ms (3.6%)

Memory: -15.2MiB live, 259.7MiB allocated
Compiler: Compiled 32 999 to 1 799 computations (94.5% saved)

prune81.0ms (1.7%)

Memory

-16.6MiB live, 70.2MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	958	1	959
Fresh	0	0	0
Picked	1	2	3
Done	0	6	6
Total	959	9	968

Accuracy

100.0%

Counts

968 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.3%	(fma.f64 (.f64 (/.f64 y (-.f64 (.f64 (.f64 z z) y) x)) (.f64 (.f64 z z) y)) (.f64 z z) (.f64 (/.f64 x (fma.f64 (neg.f64 y) (.f64 z z) x)) x))
✓	92.2%	(fma.f64 (*.f64 z z) y x)
✓	99.9%	(fma.f64 (*.f64 z y) z x)
✓	99.9%	(+.f64 x (.f64 (.f64 y z) z))
✓	30.9%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 z y)) z) (sqrt.f64 y)) (sqrt.f64 z)))
✓	57.7%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 (*.f64 (sqrt.f64 z) y) z) (sqrt.f64 z)))
✓	30.0%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z (*.f64 z (sqrt.f64 y))) (sqrt.f64 y)))
✓	51.5%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z z) y))
✓	57.8%	#s(approx (+ x (* (* y z) z)) (.f64 (.f64 z y) z))

Compiler

Compiled 350 to 143 computations (59.1% saved)

regimes23.0ms (0.5%)

Memory

31.8MiB live, 31.8MiB allocated

Counts

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

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

Calls

5 calls:

5.0ms	y
5.0ms	x
5.0ms	z
4.0ms	(+.f64 x (.f64 (.f64 y z) z))
4.0ms	(.f64 (.f64 y z) z)

Results

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

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes27.0ms (0.6%)

Memory

-24.5MiB live, 13.0MiB allocated

Counts

4 → 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)

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

Calls

5 calls:

18.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(+.f64 x (.f64 (.f64 y z) z))
2.0ms	(.f64 (.f64 y z) z)

Results

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

Compiler

Compiled 15 to 20 computations (-33.3% saved)

regimes8.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated

Accuracy

Total -4.1b remaining (-15.1%)

Threshold costs -4.1b (-15.1%)

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:

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

Results

Accuracy	Segments	Branch
57.8%	1	`x`
57.8%	1	`y`
57.8%	1	`z`
57.8%	1	`(+.f64 x (.f64 (.f64 y z) z))`
57.8%	1	`(.f64 (.f64 y z) z)`

Compiler

Compiled 15 to 20 computations (-33.3% saved)

simplify41.0ms (0.9%)

Memory

-5.6MiB live, 32.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	16	26

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness435.0ms (9.3%)

Memory

9.0MiB live, 206.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	64
0	25	52
1	108	52
2	525	50
3	5091	50
0	8257	50
0	28	410
1	87	410
2	237	410
3	702	410
4	2129	410
5	4262	410
6	6911	410
0	8031	383
0	6	15
0	9	15
1	27	15
2	179	15
3	1772	15
0	8545	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 63 to 34 computations (46% saved)

preprocess69.0ms (1.5%)

Memory: -16.0MiB live, 67.5MiB allocated
Remove: (abs z)
Compiler: Compiled 94 to 58 computations (38.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	28	191
0	45	171
1	73	171
2	110	171
3	126	170
4	163	170
5	240	160
6	255	160
7	276	160
8	281	160
0	281	155

Iter	Nodes	Cost
0	28	191
0	45	171
1	73	171
2	110	171
3	126	170
4	163	170
5	240	160
6	255	160
7	276	160
8	281	160
0	281	155

start0.0ms (0%)

analyze0.0ms (0%)

sample782.0ms (16.7%)

explain115.0ms (2.5%)

preprocess31.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize20.0ms (0.4%)

series12.0ms (0.3%)

simplify103.0ms (2.2%)

rewrite240.0ms (5.1%)

eval34.0ms (0.7%)

prune7.0ms (0.2%)

simplify5.0ms (0.1%)

localize85.0ms (1.8%)

series16.0ms (0.3%)

simplify118.0ms (2.5%)

rewrite375.0ms (8%)

eval293.0ms (6.3%)

prune89.0ms (1.9%)

simplify27.0ms (0.6%)

localize116.0ms (2.5%)

series69.0ms (1.5%)

simplify113.0ms (2.4%)

rewrite240.0ms (5.1%)

eval202.0ms (4.3%)

prune85.0ms (1.8%)

simplify191.0ms (4.1%)

localize91.0ms (1.9%)

series60.0ms (1.3%)

simplify151.0ms (3.2%)

rewrite157.0ms (3.3%)

eval168.0ms (3.6%)

prune81.0ms (1.7%)

regimes23.0ms (0.5%)

regimes27.0ms (0.6%)

regimes8.0ms (0.2%)

simplify41.0ms (0.9%)

soundness435.0ms (9.3%)

preprocess69.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	28	191
0	45	171
1	73	171
2	110	171
3	126	170
4	163	170
5	240	160
6	255	160
7	276	160
8	281	160
0	281	155