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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze71.0ms (1.1%)

Memory

-7.7MiB live, 31.4MiB 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)

sample1.4s (23.1%)

Memory

24.8MiB live, 944.2MiB allocated

Samples

905.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 621.0ms

ival-mult: 412.0ms (66.3% of total)

ival-div: 130.0ms (20.9% of total)

ival-add: 69.0ms (11.1% of total)

ival-true: 7.0ms (1.1% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain97.0ms (1.6%)

Memory

-28.7MiB live, 132.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
34	-	-	`(/.f64 (*.f64 y y) z)`
0	-	-	`(+.f64 x (/.f64 (*.f64 y y) z))`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`z`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 y y) z)`	o/n	12	0
↳	`(*.f64 y y)`	overflow	68
`/.f64`	`(/.f64 (*.f64 y y) z)`	u/n	6	0
↳	`(*.f64 y y)`	underflow	62

Confusion

	Predicted +	Predicted -
+	17	0
-	1	238

Precision

0.9444444444444444

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	0
-	1	0	238

Precision?

0.9444444444444444

Recall?

1.0

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

29.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (47.3% of total)

ival-div: 4.0ms (27% of total)

ival-add: 4.0ms (27% of total)

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

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

preprocess61.0ms (1%)

Memory

19.1MiB live, 58.3MiB allocated

Algorithm

1×	egg-herbie

Rules

698×	`times-frac`
272×	`unsub-neg`
210×	`distribute-rgt-in`
196×	`distribute-lft-in`
154×	`div-sub`

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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.6%	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB 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))

Rules

6×	`lower-*.f32`
4×	`lower-*.f64`
4×	`lower-fma.f64`
4×	`lower-/.f32`
4×	`lower-fma.f32`

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

localize23.0ms (0.4%)

Memory

-0.9MiB live, 38.2MiB 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	7.9162738119774305	(/.f64 (*.f64 y y) z)

Samples

19.0ms

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 (37.9% of total)

ival-mult: 2.0ms (37.9% of total)

ival-add: 1.0ms (18.9% of total)

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

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

series10.0ms (0.2%)

Memory

-16.4MiB live, 20.0MiB 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
3.0ms	y	@	-inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms	y	@	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	z	@	0	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))
1.0ms	z	@	-inf	((+ x (/ (* y y) z)) (/ (* y y) z) (* y y))

simplify139.0ms (2.3%)

Memory

4.4MiB live, 133.6MiB allocated

Algorithm

1×	egg-herbie

Rules

4 568×	`lower-fma.f64`
4 568×	`lower-fma.f32`
3 642×	`lower-*.f64`
3 642×	`lower-*.f32`
1 234×	`div-sub`

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)

rewrite145.0ms (2.3%)

Memory

12.3MiB live, 206.1MiB allocated

Rules

3 422×	`lower-*.f32`
3 420×	`lower-*.f64`
3 366×	`lower-fma.f64`
3 366×	`lower-fma.f32`
2 610×	`lower-/.f32`

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

eval25.0ms (0.4%)

Memory: -8.8MiB live, 65.5MiB allocated
Compiler: Compiled 3 158 to 429 computations (86.4% saved)

prune10.0ms (0.2%)

Memory

-14.2MiB live, 34.3MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	208	6	214
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	208	7	215

Accuracy

100.0%

Counts

215 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 y z) y x)
▶	93.6%	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
	50.6%	(fma.f64 x (/.f64 x (-.f64 x (/.f64 (.f64 y y) z))) (neg.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (.f64 (-.f64 x (/.f64 (*.f64 y y) z)) z))))
✓	93.6%	(+.f64 x (/.f64 (*.f64 y y) z))
▶	99.9%	(+.f64 x (/.f64 y (/.f64 z y)))
▶	93.6%	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
▶	49.4%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))

Compiler

Compiled 135 to 100 computations (25.9% saved)

simplify45.0ms (0.7%)

Memory

15.6MiB live, 54.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	-384	(/.f64 z (*.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	128	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
cost-diff	0	(/.f64 z y)
cost-diff	128	(+.f64 x (/.f64 y (/.f64 z y)))
cost-diff	384	(/.f64 y (/.f64 z y))
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 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 y z)
cost-diff	0	(fma.f64 (/.f64 y z) y x)

Rules

504×	`times-frac`
368×	`lower-fma.f32`
364×	`lower-fma.f64`
310×	`associate-r`
304×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	103
0	39	93
1	58	93
2	93	93
3	169	93
4	310	93
5	446	93
6	660	93
7	1270	93
8	1917	93
9	2002	93
10	2068	93
11	2100	93
12	2100	93
0	2100	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (1%)

Memory

2.6MiB live, 158.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.00390625	(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y))))
accuracy	0.31099862284475954	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y y)))
accuracy	8.099476679658435	(/.f64 z (*.f64 y y))
accuracy	0	(/.f64 z y)
accuracy	0.00390625	(+.f64 x (/.f64 y (/.f64 z y)))
accuracy	0.13671875	(/.f64 y (/.f64 z y))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(neg.f64 y)
accuracy	4.093440578478355	(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) y) x)
accuracy	0	(*.f64 y y)
accuracy	7.9162738119774305	(/.f64 (*.f64 y y) z)
accuracy	28.79793986220718	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
accuracy	0	(/.f64 y z)
accuracy	0.05859375	(fma.f64 (/.f64 y z) y x)

Samples

49.0ms

256×

valid

Compiler

Compiled 101 to 24 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 14.0ms (40% of total)

ival-mult: 10.0ms (28.5% of total)

ival-add: 9.0ms (25.7% of total)

ival-neg: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.4%)

Memory

14.6MiB live, 52.3MiB allocated

Counts

15 → 372

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ -1 z) (* (neg y) y)) x) (/ -1 z) (* (neg y) y) (neg y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (/ 1 (/ z (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* y y)))
3.0ms	y	@	-inf	((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ -1 z) (* (neg y) y)) x) (/ -1 z) (* (neg y) y) (neg y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (/ 1 (/ z (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* y y)))
2.0ms	z	@	0	((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ -1 z) (* (neg y) y)) x) (/ -1 z) (* (neg y) y) (neg y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (/ 1 (/ z (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* y y)))
2.0ms	z	@	-inf	((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ -1 z) (* (neg y) y)) x) (/ -1 z) (* (neg y) y) (neg y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (/ 1 (/ z (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* y y)))
1.0ms	z	@	inf	((+ (* (/ y z) y) x) (/ y z) (+ x (/ (* y y) z)) (/ (* y y) z) (* y y) (+ (* (/ -1 z) (* (neg y) y)) x) (/ -1 z) (* (neg y) y) (neg y) (/ y (/ z y)) (+ x (/ y (/ z y))) (/ z y) (/ 1 (/ z (* y y))) (+ x (/ 1 (/ z (* y y)))) (/ z (* y y)))

simplify124.0ms (2%)

Memory

5.6MiB live, 204.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 940×	`lower-fma.f64`
3 940×	`lower-fma.f32`
2 856×	`lower-*.f64`
2 856×	`lower-*.f32`
1 592×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	1868
1	67	1868
2	161	1868
3	538	1868
4	2459	1868
5	4374	1868
6	6513	1868
0	8117	1733

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 347

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)
(/ 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)
(/ (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)
(/ (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)
(/ (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 (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (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))
(/ (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)
(/ (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)
(/ (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 (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (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))
(/ (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)
(/ (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)
(/ (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 (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (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))
(/ (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))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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))
(/ 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))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (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))))
(/ (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))))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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))))
(/ 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))))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (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))))
(/ (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))))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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))))
(/ 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))))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (pow y 2))
(/ z (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)
(/ (+ (* 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)
(/ (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)
(/.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)
(/ (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)
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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)

rewrite623.0ms (10.1%)

Memory

-16.1MiB live, 224.3MiB allocated

Rules

8 620×	`lower-fma.f32`
8 616×	`lower-fma.f64`
4 708×	`lower-*.f32`
4 704×	`lower-*.f64`
4 674×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	84
0	39	74
1	150	74
2	965	74
0	8254	74

Stop Event

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

Counts

15 → 862

Calls

Call 1

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

Outputs
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eval238.0ms (3.8%)

Memory: 22.2MiB live, 172.9MiB allocated
Compiler: Compiled 14 274 to 1 279 computations (91% saved)

prune169.0ms (2.7%)

Memory

-35.2MiB live, 96.8MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 233	4	1 237
Fresh	1	0	1
Picked	3	2	5
Done	0	1	1
Total	1 237	7	1 244

Accuracy

100.0%

Counts

1 244 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
▶	41.5%	(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y)))
✓	93.6%	(+.f64 x (/.f64 (*.f64 y y) z))
✓	49.4%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
▶	54.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
▶	49.4%	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y))))
▶	54.9%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 59 to 51 computations (13.6% saved)

simplify74.0ms (1.2%)

Memory

11.9MiB live, 46.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y)))
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 (neg.f64 y) y)
cost-diff	0	(/.f64 z (*.f64 (neg.f64 y) y))
cost-diff	0	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y))))
cost-diff	832	(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) 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))

Rules

784×	`lower-fma.f64`
784×	`lower-fma.f32`
736×	`times-frac`
536×	`lower-*.f32`
530×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	152
0	39	146
1	62	146
2	106	146
3	214	146
4	391	146
5	812	146
6	1912	146
7	2649	146
8	3075	146
9	3126	146
10	3159	146
11	3159	146
0	3159	143

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

localize193.0ms (3.1%)

Memory

-2.6MiB live, 71.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(/.f64 (/.f64 z y) y)
accuracy	0.142910009768442	(pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))
accuracy	5.753867030773911	(-.f64 (*.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)))
accuracy	35.33830748654502	(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y)))
accuracy	0	(/.f64 z y)
accuracy	0.13671875	(/.f64 y (/.f64 z y))
accuracy	28.79793986220718	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
accuracy	0	(neg.f64 y)
accuracy	0.31099862284475954	(/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y)))
accuracy	8.099476679658435	(/.f64 z (*.f64 (neg.f64 y) y))
accuracy	28.79793986220718	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y))))
accuracy	0	(/.f64 y z)
accuracy	0.11328125	(*.f64 (/.f64 y z) y)
accuracy	28.79793986220718	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Samples

109.0ms

256×

valid

Compiler

Compiled 133 to 24 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-div: 77.0ms (83.5% of total)

ival-mult: 7.0ms (7.6% of total)

ival-pow: 4.0ms (4.3% of total)

ival-sub: 2.0ms (2.2% of total)

ival-add: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series162.0ms (2.6%)

Memory

-9.6MiB live, 74.1MiB allocated

Counts

16 → 408

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 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y))) (patch (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y))) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y)))) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y)))) #<representation binary64>) () ())
#s(alt (/.f64 z (.f64 (neg.f64 y) y)) (patch (/.f64 z (.f64 (neg.f64 y) y)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<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 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<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 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y))) (patch (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y))) (patch (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y))) (patch (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y))) (patch (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y)))) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y)))) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y)))) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y)))) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z (pow y 2))) (taylor 0 z) (#s(alt (/.f64 z (.f64 (neg.f64 y) y)) (patch (/.f64 z (.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z (pow y 2))) (taylor 0 z) (#s(alt (/.f64 z (.f64 (neg.f64 y) y)) (patch (/.f64 z (.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z (pow y 2))) (taylor 0 z) (#s(alt (/.f64 z (.f64 (neg.f64 y) y)) (patch (/.f64 z (.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ z (pow y 2))) (taylor 0 z) (#s(alt (/.f64 z (.f64 (neg.f64 y) y)) (patch (/.f64 z (.f64 (neg.f64 y) 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 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 (/ (pow y 2) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 4) (pow z 2))) (taylor 0 z) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (pow z 2)) (pow y 4)) (pow z 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (pow z 2)) (pow y 4)) (pow z 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (pow z 2)) (pow y 4)) (pow z 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor 0 z) (#s(alt (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor 0 z) (#s(alt (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor 0 z) (#s(alt (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor 0 z) (#s(alt (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) (patch (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf 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 (/ (pow y 2) z)) (taylor inf 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 (/ (pow y 2) z)) (taylor inf 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 (/ (pow y 2) z)) (taylor inf 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 inf z) (#s(alt (.f64 (/.f64 y z) y) (patch (.f64 (/.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor inf z) (#s(alt (.f64 (/.f64 y z) y) (patch (.f64 (/.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor inf z) (#s(alt (.f64 (/.f64 y z) y) (patch (.f64 (/.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) z) (taylor inf z) (#s(alt (.f64 (/.f64 y z) y) (patch (.f64 (/.f64 y z) y) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
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#s(alt (+ x (/ (pow y 2) z)) (taylor 0 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 (/ (pow y 2) z)) (taylor 0 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 (/ (pow y 2) z)) (taylor 0 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 (/ (pow y 2) z) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 4) (pow z 2))) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (/ (pow y 4) (pow z 2))) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (/ (pow y 4) (pow z 2))) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (/ (pow y 4) (pow z 2))) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<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 (* 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 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y)))) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y)))) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y)))) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt #s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y)))) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) 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 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (pow y 2) (* x z)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 4) (* (pow x 2) (pow z 2)))))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 4) (* (pow x 2) (pow z 2)))))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 4) (* (pow x 2) (pow z 2)))))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<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 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y)))) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) 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 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y)))) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) 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 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y)))) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) 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 #s(literal -1 binary64) (/.f64 z (.f64 (neg.f64 y) y)))) (patch #s(approx (+ x (/ ( y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) 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 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (pow y 2) (* x z))) 1))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 4) (* (pow x 2) (pow z 2)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 4) (* (pow x 2) (pow z 2)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 4) (* (pow x 2) (pow z 2)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) (patch (-.f64 (.f64 x x) (pow.f64 (/.f64 (/.f64 z y) y) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
75.0ms	y	@	-inf	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ -1 (/ z (* (neg y) y))) (+ x (/ (* y y) z)) (/ z (* (neg y) y)) (* (neg y) y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ (- (* x x) (pow (/ (/ z y) y) -2)) (- x (* (/ y z) y))) (- (* x x) (pow (/ (/ z y) y) -2)) (* x x) (pow (/ (/ z y) y) -2) (neg y) (/ (/ z y) y))
3.0ms	y	@	inf	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ -1 (/ z (* (neg y) y))) (+ x (/ (* y y) z)) (/ z (* (neg y) y)) (* (neg y) y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ (- (* x x) (pow (/ (/ z y) y) -2)) (- x (* (/ y z) y))) (- (* x x) (pow (/ (/ z y) y) -2)) (* x x) (pow (/ (/ z y) y) -2) (neg y) (/ (/ z y) y))
3.0ms	z	@	0	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ -1 (/ z (* (neg y) y))) (+ x (/ (* y y) z)) (/ z (* (neg y) y)) (* (neg y) y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ (- (* x x) (pow (/ (/ z y) y) -2)) (- x (* (/ y z) y))) (- (* x x) (pow (/ (/ z y) y) -2)) (* x x) (pow (/ (/ z y) y) -2) (neg y) (/ (/ z y) y))
3.0ms	y	@	0	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ -1 (/ z (* (neg y) y))) (+ x (/ (* y y) z)) (/ z (* (neg y) y)) (* (neg y) y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ (- (* x x) (pow (/ (/ z y) y) -2)) (- x (* (/ y z) y))) (- (* x x) (pow (/ (/ z y) y) -2)) (* x x) (pow (/ (/ z y) y) -2) (neg y) (/ (/ z y) y))
2.0ms	z	@	-inf	((+ x (/ (* y y) z)) (* (/ y z) y) (/ y z) (/ -1 (/ z (* (neg y) y))) (+ x (/ (* y y) z)) (/ z (* (neg y) y)) (* (neg y) y) (/ y (/ z y)) (+ x (/ (* y y) z)) (/ z y) (/ (- (* x x) (pow (/ (/ z y) y) -2)) (- x (* (/ y z) y))) (- (* x x) (pow (/ (/ z y) y) -2)) (* x x) (pow (/ (/ z y) y) -2) (neg y) (/ (/ z y) y))

simplify208.0ms (3.4%)

Memory

24.0MiB live, 216.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 820×	`lower-fma.f64`
8 820×	`lower-fma.f32`
4 086×	`lower-*.f64`
4 086×	`lower-*.f32`
2 460×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	2376
1	119	2376
2	321	2268
3	1240	2268
4	4228	2268
0	8143	2160

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 388

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

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

rewrite228.0ms (3.7%)

Memory

-13.1MiB live, 349.2MiB allocated

Rules

8 004×	`lower-fma.f64`
8 004×	`lower-fma.f32`
5 144×	`lower-/.f32`
5 130×	`lower-/.f64`
5 102×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	123
0	39	117
1	151	105
2	1033	105
0	8267	101

Stop Event

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

Counts

16 → 1 010

Calls

Call 1

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

Outputs
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eval194.0ms (3.1%)

Memory: 25.8MiB live, 489.0MiB allocated
Compiler: Compiled 31 627 to 3 364 computations (89.4% saved)

prune63.0ms (1%)

Memory

-5.3MiB live, 170.2MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1 621	1	1 622
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	1 622	7	1 629

Accuracy

100.0%

Counts

1 629 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
▶	40.8%	(/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (*.f64 (/.f64 y z) y)))
✓	93.6%	(+.f64 x (/.f64 (*.f64 y y) z))
✓	49.4%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	54.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
✓	49.4%	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y))))
✓	54.9%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 63 to 51 computations (19% saved)

simplify208.0ms (3.4%)

Memory

-3.6MiB live, 151.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))))
cost-diff	704	(/.f64 y (*.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))
cost-diff	8832	(/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (*.f64 (/.f64 y z) y)))

Rules

10 532×	`lower-fma.f64`
10 532×	`lower-fma.f32`
3 420×	`lower-*.f32`
3 414×	`lower-*.f64`
2 162×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	87
0	23	87
1	44	87
2	98	87
3	258	79
4	872	73
5	2998	63
6	6929	61
0	8307	60

Stop Event

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

Calls

Call 1

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

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

localize90.0ms (1.4%)

Memory

7.9MiB live, 91.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(/.f64 (/.f64 z y) y)
accuracy	0.9684261964376166	(/.f64 y (*.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))
accuracy	5.753867030773911	(-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))))
accuracy	35.33830748654502	(/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (*.f64 (/.f64 y z) y)))

Samples

81.0ms

256×

valid

Compiler

Compiled 89 to 15 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 19.0ms (71.2% of total)

ival-mult: 5.0ms (18.7% of total)

ival-sub: 2.0ms (7.5% of total)

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

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

series17.0ms (0.3%)

Memory

-12.1MiB live, 27.0MiB allocated

Counts

5 → 132

Calls

Call 1

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

Outputs
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x z) (pow y 2)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 4) (pow z 2))) (taylor 0 z) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (pow z 2)) (pow y 4)) (pow z 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (pow z 2)) (pow y 4)) (pow z 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (pow z 2)) (pow y 4)) (pow z 2)) (taylor 0 z) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor 0 z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor inf z) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor inf z) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor inf z) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor inf z) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor inf z) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor inf z) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor inf z) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf z) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow y 4) (pow z 2))) (pow x 2)) (taylor inf z) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow y 4) (pow z 2))) (pow x 2)) (taylor inf z) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow y 4) (pow z 2))) (pow x 2)) (taylor inf z) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor inf z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor -inf z) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf z) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow y 4) (pow z 2))) (pow x 2)) (taylor -inf z) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow y 4) (pow z 2))) (pow x 2)) (taylor -inf z) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow y 4) (pow z 2))) (pow x 2)) (taylor -inf z) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt (/ z (pow y 2)) (taylor -inf z) (#s(alt (/.f64 (/.f64 z y) y) (patch (/.f64 (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (/ (pow y 2) z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) (patch (/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor 0 y) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor 0 y) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 4) (pow z 2)) (taylor 0 y) (#s(alt (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) (patch (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y))) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 4) (* (pow x 2) (pow z 2)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 4) (* (pow x 2) (pow z 2)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 4) (* (pow x 2) (pow z 2)))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) (patch (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 (/.f64 z y) y) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((/ (- (* x x) (/ y (* (/ (/ z y) y) (/ z y)))) (- x (* (/ y z) y))) (/ y (* (/ (/ z y) y) (/ z y))) (- (* x x) (/ y (* (/ (/ z y) y) (/ z y)))) (* x x) (/ (/ z y) y))
1.0ms	z	@	0	((/ (- (* x x) (/ y (* (/ (/ z y) y) (/ z y)))) (- x (* (/ y z) y))) (/ y (* (/ (/ z y) y) (/ z y))) (- (* x x) (/ y (* (/ (/ z y) y) (/ z y)))) (* x x) (/ (/ z y) y))
1.0ms	y	@	inf	((/ (- (* x x) (/ y (* (/ (/ z y) y) (/ z y)))) (- x (* (/ y z) y))) (/ y (* (/ (/ z y) y) (/ z y))) (- (* x x) (/ y (* (/ (/ z y) y) (/ z y)))) (* x x) (/ (/ z y) y))
1.0ms	z	@	-inf	((/ (- (* x x) (/ y (* (/ (/ z y) y) (/ z y)))) (- x (* (/ y z) y))) (/ y (* (/ (/ z y) y) (/ z y))) (- (* x x) (/ y (* (/ (/ z y) y) (/ z y)))) (* x x) (/ (/ z y) y))
1.0ms	z	@	inf	((/ (- (* x x) (/ y (* (/ (/ z y) y) (/ z y)))) (- x (* (/ y z) y))) (/ y (* (/ (/ z y) y) (/ z y))) (- (* x x) (/ y (* (/ (/ z y) y) (/ z y)))) (* x x) (/ (/ z y) y))

simplify152.0ms (2.5%)

Memory

4.5MiB live, 157.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 904×	`lower-fma.f64`
8 904×	`lower-fma.f32`
4 226×	`lower-*.f64`
4 226×	`lower-*.f32`
2 422×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	996
1	107	996
2	302	888
3	1156	888
4	3969	888
5	7981	888
0	8052	861

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 127

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

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

rewrite310.0ms (5%)

Memory

12.5MiB live, 141.5MiB allocated

Rules

6 628×	`lower-fma.f64`
6 628×	`lower-fma.f32`
4 408×	`lower-*.f32`
4 402×	`lower-*.f64`
4 250×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
0	23	57
1	101	33
2	945	33
0	8588	32

Stop Event

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

Counts

5 → 407

Calls

Call 1

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

Outputs
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eval100.0ms (1.6%)

Memory: -2.2MiB live, 69.6MiB allocated
Compiler: Compiled 14 895 to 1 213 computations (91.9% saved)

prune62.0ms (1%)

Memory

-6.1MiB live, 43.2MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	533	1	534
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	534	7	541

Accuracy

100.0%

Counts

541 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 y z) y x)
	39.3%	(/.f64 (-.f64 (.f64 x x) (/.f64 y (.f64 (/.f64 z (.f64 y y)) (/.f64 z y)))) (-.f64 x (.f64 (/.f64 y z) y)))
✓	93.6%	(+.f64 x (/.f64 (*.f64 y y) z))
✓	49.4%	#s(approx (+ x (/ (* y y) z)) (/.f64 (*.f64 y y) z))
✓	54.9%	#s(approx (+ x (/ (* y y) z)) (/.f64 y (/.f64 z y)))
✓	49.4%	#s(approx (+ x (/ (* y y) z)) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 y) y))))
✓	54.9%	#s(approx (+ x (/ (* y y) z)) (*.f64 (/.f64 y z) y))

Compiler

Compiled 220 to 103 computations (53.2% saved)

regimes52.0ms (0.8%)

Memory

-0.9MiB live, 35.6MiB allocated

Counts

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

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

Calls

6 calls:

31.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
4.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(*.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)

regimes9.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated

Accuracy

Total -3.6b remaining (-12.4%)

Threshold costs -3.6b (-12.4%)

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:

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

Results

Accuracy	Segments	Branch
54.9%	1	`x`
54.9%	1	`y`
54.9%	1	`z`
54.9%	1	`(+.f64 x (/.f64 (*.f64 y y) z))`
54.9%	1	`(/.f64 (*.f64 y y) z)`
54.9%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 24 computations (-33.3% saved)

simplify43.0ms (0.7%)

Memory

-30.0MiB live, 44.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`-commutative-binary64-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	11	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness651.0ms (10.5%)

Memory

-7.2MiB live, 239.9MiB allocated

Rules

8 620×	`lower-fma.f32`
8 616×	`lower-fma.f64`
4 708×	`lower-*.f32`
4 704×	`lower-*.f64`
4 674×	`lower-/.f32`

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
0	6	15
0	9	15
1	35	15
2	269	15
3	4534	15
0	8159	14
0	23	84
0	39	74
1	150	74
2	965	74
0	8254	74

Stop Event

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

Compiler

Compiled 36 to 26 computations (27.8% saved)

preprocess73.0ms (1.2%)

Memory: 14.3MiB live, 53.2MiB allocated
Remove: (abs y)
Compiler: Compiled 64 to 48 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze71.0ms (1.1%)

sample1.4s (23.1%)

explain97.0ms (1.6%)

preprocess61.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize23.0ms (0.4%)

series10.0ms (0.2%)

simplify139.0ms (2.3%)

rewrite145.0ms (2.3%)

eval25.0ms (0.4%)

prune10.0ms (0.2%)

simplify45.0ms (0.7%)

localize64.0ms (1%)

series22.0ms (0.4%)

simplify124.0ms (2%)

rewrite623.0ms (10.1%)

eval238.0ms (3.8%)

prune169.0ms (2.7%)

simplify74.0ms (1.2%)

localize193.0ms (3.1%)

series162.0ms (2.6%)

simplify208.0ms (3.4%)

rewrite228.0ms (3.7%)

eval194.0ms (3.1%)

prune63.0ms (1%)

simplify208.0ms (3.4%)

localize90.0ms (1.4%)

series17.0ms (0.3%)

simplify152.0ms (2.5%)

rewrite310.0ms (5%)

eval100.0ms (1.6%)

prune62.0ms (1%)

regimes52.0ms (0.8%)

regimes9.0ms (0.2%)

simplify43.0ms (0.7%)

soundness651.0ms (10.5%)

preprocess73.0ms (1.2%)

end0.0ms (0%)

Profiling