Metrics for Crypto.Random.Test:calculate from crypto-random-0.0.9

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze78.0ms (1.6%)

Memory

-47.0MiB live, 55.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (24.1%)

Memory

30.5MiB live, 1 295.8MiB allocated

Samples

828.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-mult: 75.0ms (39.5% of total)

ival-div: 57.0ms (30% of total)

ival-add: 49.0ms (25.8% of total)

ival-true: 6.0ms (3.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain73.0ms (1.5%)

Memory

14.0MiB live, 136.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
32	-	1	(7.391161996004211e-266 4.226911484180613e-157 -7.720027115574073e-272)	`(/.f64 (*.f64 y y) z)`
0	-	0	-	`(+.f64 x (/.f64 (*.f64 y y) z))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 y y) z)`	o/n	14	0
↳	`(*.f64 y y)`	overflow	69
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	4	0
↳	`(*.f64 y y)`	underflow	68

Confusion

	Predicted +	Predicted -
+	17	1
-	1	237

Precision

0.9444444444444444

Recall

0.9444444444444444

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	1
-	1	0	237

Precision?

0.9444444444444444

Recall?

0.9444444444444444

Freqs

test

number	freq
0	238
1	18

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 7.0ms (49.9% of total)

ival-mult: 4.0ms (28.5% of total)

ival-add: 2.0ms (14.3% of total)

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

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

preprocess64.0ms (1.3%)

Memory

-17.7MiB live, 57.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	68
1	72	64
2	175	64
3	519	64
4	1164	64
5	1897	64
6	2027	64
7	2087	64
8	2133	64
9	2145	64
0	6	7
0	9	7
1	12	7
2	13	7
0	13	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.8%	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	12	18
2	13	18
0	13	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (0.3%)

Memory

22.7MiB live, 22.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(+.f64 x (/.f64 (*.f64 y y) z))
accuracy	7.17615627628855	(/.f64 (*.f64 y y) z)

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (41% of total)

ival-mult: 2.0ms (41% of total)

ival-add: 1.0ms (20.5% of total)

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

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

series30.0ms (0.6%)

Memory

-21.7MiB live, 16.8MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	z	@	-inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms	y	@	0	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms	y	@	inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms	z	@	0	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms	y	@	-inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))

simplify105.0ms (2.2%)

Memory

26.8MiB live, 102.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	376
1	58	376
2	150	376
3	489	376
4	2250	376
5	4093	376
6	6089	376
7	7810	376
0	8095	349

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 67

Calls

Call 1

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

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

rewrite186.0ms (3.9%)

Memory

-9.3MiB live, 190.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	35	15
2	269	15
3	4534	15
0	8159	14

Stop Event

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

Counts

3 → 147

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>

eval33.0ms (0.7%)

Memory: 10.5MiB live, 46.5MiB allocated
Compiler: Compiled 3 158 to 429 computations (86.4% saved)

prune55.0ms (1.2%)

Memory

-33.4MiB live, 23.4MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	208	6	214
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	209	6	215

Accuracy

100.0%

Counts

215 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 y z) y x)
▶	93.8%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
▶	99.9%	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
	65.2%	(+.f64 x (pow.f64 (pow.f64 (/.f64 z (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	99.9%	(+.f64 x (/.f64 y (/.f64 z y)))
▶	45.0%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Compiler

Compiled 96 to 86 computations (10.4% saved)

simplify77.0ms (1.6%)

Memory

-3.2MiB live, 35.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	448	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	(neg.f64 y)
cost-diff	192	(*.f64 y (/.f64 #s(literal -1 binary64) z))
cost-diff	256	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
cost-diff	0	(/.f64 y z)
cost-diff	0	(fma.f64 (/.f64 y z) y x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (*.f64 y y) z)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
cost-diff	0	(/.f64 z y)
cost-diff	128	(+.f64 x (/.f64 y (/.f64 z y)))
cost-diff	384	(/.f64 y (/.f64 z y))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	98
0	37	90
1	58	89
2	97	89
3	167	89
4	315	89
5	440	89
6	889	89
7	1391	89
8	1853	89
9	2042	89
10	2138	89
11	2178	89
12	2180	89
0	2180	89

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (1.3%)

Memory

8.6MiB live, 83.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(neg.f64 y)
accuracy	3.955291492015165	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(neg.f64 y)
accuracy	0.0546875	(fma.f64 (neg.f64 y) (*.f64 y (/.f64 #s(literal -1 binary64) z)) x)
accuracy	0.19140625	(*.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy	0	(/.f64 y z)
accuracy	0.0546875	(fma.f64 (/.f64 y z) y x)
accuracy	0	(*.f64 y y)
accuracy	7.17615627628855	(/.f64 (*.f64 y y) z)
accuracy	32.191997370192155	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
accuracy	0	(/.f64 z y)
accuracy	0.00390625	(+.f64 x (/.f64 y (/.f64 z y)))
accuracy	0.11328125	(/.f64 y (/.f64 z y))

Samples

48.0ms

256×

valid

Compiler

Compiled 97 to 23 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 9.0ms (31.7% of total)

ival-mult: 9.0ms (31.7% of total)

ival-add: 5.0ms (17.6% of total)

ival-neg: 5.0ms (17.6% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.7%)

Memory

-4.6MiB live, 34.6MiB allocated

Counts

14 → 348

Calls

Call 1

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

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

Calls

9 calls:

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

simplify195.0ms (4.1%)

Memory

27.4MiB live, 138.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	1724
1	70	1724
2	166	1724
3	536	1724
4	2385	1724
5	4325	1724
6	6441	1724
0	8136	1589

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 323

Calls

Call 1

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

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

rewrite415.0ms (8.8%)

Memory

-24.0MiB live, 99.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	77
0	37	69
1	148	68
2	885	68
0	9225	68

Stop Event

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

Counts

14 → 588

Calls

Call 1

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

Outputs
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eval235.0ms (5%)

Memory: 14.0MiB live, 202.4MiB allocated
Compiler: Compiled 12 849 to 858 computations (93.3% saved)

prune82.0ms (1.7%)

Memory

-3.3MiB live, 90.5MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	960	3	963
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	964	5	969

Accuracy

100.0%

Counts

969 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
▶	99.9%	(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
✓	45.0%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	49.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	49.6%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 34 to 32 computations (5.9% saved)

simplify38.0ms (0.8%)

Memory

-5.0MiB live, 33.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	128	(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
cost-diff	384	(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
cost-diff	0	(/.f64 z y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
cost-diff	384	(/.f64 y (/.f64 z y))
cost-diff	0	(/.f64 y z)
cost-diff	0	(*.f64 (/.f64 y z) y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	79
0	27	73
1	41	72
2	71	70
3	134	70
4	285	70
5	493	70
6	1028	70
7	1372	70
8	1490	70
9	1567	70
10	1597	70
0	1597	67

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize68.0ms (1.4%)

Memory

10.8MiB live, 93.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.00390625	(+.f64 x (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
accuracy	0.11328125	(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
accuracy	0.1796875	(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
accuracy	0	(/.f64 z y)
accuracy	0.11328125	(/.f64 y (/.f64 z y))
accuracy	32.191997370192155	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
accuracy	0	(/.f64 y z)
accuracy	0.125	(*.f64 (/.f64 y z) y)
accuracy	32.191997370192155	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Samples

58.0ms

256×

valid

Compiler

Compiled 69 to 18 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 35.0ms (74% of total)

ival-mult: 7.0ms (14.8% of total)

ival-add: 4.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.6%)

Memory

-15.0MiB live, 23.9MiB allocated

Counts

11 → 276

Calls

Call 1

Inputs
#s(alt #s(approx (+ x (/ (* y y) z)) (.f64 (/.f64 y z) y)) (patch #s(approx (+ x (/ ( y y) z)) (*.f64 (/.f64 y z) y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 y z) y) (patch (.f64 (/.f64 y z) y) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 z y)) (patch (/.f64 y (/.f64 z y)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) (patch #s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y))) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) (patch (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) (patch (+.f64 x (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())

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

Calls

9 calls:

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

simplify118.0ms (2.5%)

Memory

6.4MiB live, 158.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	1296
1	64	1296
2	155	1296
3	497	1296
4	2282	1296
5	4160	1296
6	6164	1296
7	7945	1296
0	8230	1215

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 261

Calls

Call 1

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

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

rewrite114.0ms (2.4%)

Memory

5.3MiB live, 204.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71
0	27	65
1	96	62
2	834	62
3	7816	62
0	8356	59

Stop Event

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

Counts

11 → 392

Calls

Call 1

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

Outputs
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eval234.0ms (4.9%)

Memory: 20.9MiB live, 221.5MiB allocated
Compiler: Compiled 7 300 to 915 computations (87.5% saved)

prune37.0ms (0.8%)

Memory

-16.6MiB live, 105.8MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	652	1	653
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	653	5	658

Accuracy

100.0%

Counts

658 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	45.0%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	49.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	49.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
✓	49.6%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 33 to 32 computations (3% saved)

simplify37.0ms (0.8%)

Memory

-4.1MiB live, 34.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
cost-diff	384	(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
0	16	38
1	29	35
2	60	29
3	123	29
4	271	29
5	479	29
6	1015	29
7	1359	29
8	1477	29
9	1554	29
10	1584	29
0	1584	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.9%)

Memory

11.9MiB live, 55.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.11328125	(/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))
accuracy	0.1796875	(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
accuracy	32.191997370192155	#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))

Samples

35.0ms

256×

valid

Compiler

Compiled 31 to 13 computations (58.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-add: 14.0ms (50.7% of total)

ival-mult: 7.0ms (25.4% of total)

ival-div: 5.0ms (18.1% of total)

ival-neg: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series45.0ms (1%)

Memory

-23.5MiB live, 15.8MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) (patch (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 y (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())

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

Calls

9 calls:

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

simplify114.0ms (2.4%)

Memory

5.2MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	472
1	63	472
2	155	472
3	499	472
4	2261	472
5	4131	472
6	6134	472
7	7915	472
0	8200	445

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 103

Calls

Call 1

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

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

rewrite141.0ms (3%)

Memory

-1.5MiB live, 172.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
0	16	35
1	64	32
2	434	26
3	5790	25
0	8748	24

Stop Event

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

Counts

5 → 120

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval44.0ms (0.9%)

Memory: 13.3MiB live, 50.7MiB allocated
Compiler: Compiled 2 049 to 454 computations (77.8% saved)

prune35.0ms (0.7%)

Memory

-12.6MiB live, 25.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	223	5	228

Accuracy

100.0%

Counts

228 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
✓	45.0%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	49.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
✓	49.6%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))))
✓	49.6%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 119 to 66 computations (44.5% saved)

regimes36.0ms (0.8%)

Memory

-1.7MiB live, 43.8MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

17.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
4.0ms	(/.f64 (*.f64 y y) 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 y) z))`
99.9%	1	`(/.f64 (*.f64 y y) z)`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes26.0ms (0.6%)

Memory

-3.1MiB live, 35.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

12.0ms	y
3.0ms	x
3.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
3.0ms	z
3.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 18 to 24 computations (-33.3% saved)

regimes10.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB allocated

Accuracy

Total -3.0b remaining (-9.3%)

Threshold costs -3b (-9.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
49.6%	1	`x`
49.6%	1	`y`
49.6%	1	`z`
49.6%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
49.6%	1	`(/.f64 (*.f64 y y) z)`
49.6%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

simplify52.0ms (1.1%)

Memory

-20.4MiB live, 56.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	15	26

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness577.0ms (12.2%)

Memory

4.1MiB live, 235.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	77
0	37	69
1	148	68
2	885	68
0	9225	68
0	23	376
1	58	376
2	150	376
3	489	376
4	2250	376
5	4093	376
6	6089	376
7	7810	376
0	8095	349
0	6	15
0	9	15
1	35	15
2	269	15
3	4534	15
0	8159	14

Stop Event

1×	done
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 57 to 38 computations (33.3% saved)

preprocess62.0ms (1.3%)

Memory: 29.2MiB live, 105.2MiB allocated
Remove: (abs y)
Compiler: Compiled 94 to 68 computations (27.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze78.0ms (1.6%)

sample1.1s (24.1%)

explain73.0ms (1.5%)

preprocess64.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize16.0ms (0.3%)

series30.0ms (0.6%)

simplify105.0ms (2.2%)

rewrite186.0ms (3.9%)

eval33.0ms (0.7%)

prune55.0ms (1.2%)

simplify77.0ms (1.6%)

localize61.0ms (1.3%)

series33.0ms (0.7%)

simplify195.0ms (4.1%)

rewrite415.0ms (8.8%)

eval235.0ms (5%)

prune82.0ms (1.7%)

simplify38.0ms (0.8%)

localize68.0ms (1.4%)

series27.0ms (0.6%)

simplify118.0ms (2.5%)

rewrite114.0ms (2.4%)

eval234.0ms (4.9%)

prune37.0ms (0.8%)

simplify37.0ms (0.8%)

localize42.0ms (0.9%)

series45.0ms (1%)

simplify114.0ms (2.4%)

rewrite141.0ms (3%)

eval44.0ms (0.9%)

prune35.0ms (0.7%)

regimes36.0ms (0.8%)

regimes26.0ms (0.6%)

regimes10.0ms (0.2%)

simplify52.0ms (1.1%)

soundness577.0ms (12.2%)

preprocess62.0ms (1.3%)

end0.0ms (0%)

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