Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, J

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (11.7%)

Memory

9.1MiB live, 1 191.6MiB allocated

Samples

610.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-sub: 138.0ms (50.4% of total)

ival-mult: 122.0ms (44.5% of total)

ival-true: 6.0ms (2.2% of total)

exact: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain92.0ms (1%)

Memory

-16.2MiB live, 159.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
12	-	-	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
0	-	-	`(-.f64 #s(literal 1 binary64) y)`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`z`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`	*no**	12	0

Confusion

	Predicted +	Predicted -
+	12	0
-	0	244

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	12	0	0
-	0	0	244

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	244
1	12

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (47.4% of total)

ival-sub: 5.0ms (39.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess232.0ms (2.5%)

Memory

12.2MiB live, 87.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	105	82
2	285	81
3	1174	81
4	2720	81
5	4111	81
6	4516	81
7	4710	81
8	4796	81
9	4828	81
10	4879	81
11	4879	81
12	4879	81
13	4977	81
14	5005	81
0	8	9
0	12	9
1	23	9
2	52	9
3	153	9
4	442	9
5	939	9
6	1327	9
7	1625	9
8	1658	9
9	1658	9
0	1658	8

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

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

Symmetry

(negabs x)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.5%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify54.0ms (0.6%)

Memory

15.2MiB live, 59.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	28
1	23	28
2	52	28
3	153	28
4	442	28
5	939	28
6	1327	28
7	1625	28
8	1658	28
9	1658	28
0	1658	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
x
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
y
z

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

localize26.0ms (0.3%)

Memory

-22.7MiB live, 50.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy	2.8781107304084794	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Samples

19.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-mult: 5.0ms (62.7% of total)

ival-sub: 3.0ms (37.6% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

22.2MiB live, 22.3MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

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

simplify142.0ms (1.5%)

Memory

-14.1MiB live, 106.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	592
1	234	592
2	627	592
3	1396	592
4	4039	592
5	6285	592
6	7489	592
0	8044	544

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite229.0ms (2.5%)

Memory

34.9MiB live, 190.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	46	24
2	328	24
3	3538	24
0	9414	22

Stop Event

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

Counts

4 → 445

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)

Outputs
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eval217.0ms (2.4%)

Memory: -9.9MiB live, 155.7MiB allocated
Compiler: Compiled 11 616 to 1 743 computations (85% saved)

prune63.0ms (0.7%)

Memory

-6.6MiB live, 31.0MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	530	9	539
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	531	9	540

Accuracy

100.0%

Counts

540 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.5%	(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
	94.2%	(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x)
	95.5%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))))
▶	68.1%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) z) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))))
	63.4%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
	36.6%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (*.f64 y z)))
▶	41.9%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
▶	57.9%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z))
▶	40.4%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))

Compiler

Compiled 156 to 138 computations (11.5% saved)

simplify280.0ms (3%)

Memory

-9.1MiB live, 147.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) z) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) z) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) z) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
cost-diff	2048	(/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) z) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(*.f64 x (-.f64 y #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z)
cost-diff	0	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z))
cost-diff	0	(*.f64 x z)
cost-diff	0	(.f64 (.f64 x z) y)
cost-diff	0	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))
cost-diff	0	#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 y #s(literal 1 binary64)) z)
cost-diff	0	(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	195
0	45	170
1	91	170
2	204	144
3	750	144
4	2980	144
5	6969	144
0	8261	141

Stop Event

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

Calls

Call 1

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

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

localize177.0ms (1.9%)

Memory

-12.7MiB live, 114.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 y)
accuracy	2.8781107304084794	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) z) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))))
accuracy	6.36262951548163	(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) z)
accuracy	21.0218557151633	(/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) z) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0.00390625	(*.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy	3.6375168342373785	(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z)
accuracy	25.475023089831037	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z))
accuracy	0	(*.f64 x z)
accuracy	5.283609238680713	(.f64 (.f64 x z) y)
accuracy	37.753851980195684	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))
accuracy	2.8781107304084794	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
accuracy	37.285276961184806	#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 (-.f64 y #s(literal 1 binary64)) z)
accuracy	2.8663919804084794	(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)

Samples

148.0ms

256×

valid

Compiler

Compiled 190 to 26 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-sub: 50.0ms (52.5% of total)

ival-mult: 40.0ms (42% of total)

ival-div: 2.0ms (2.1% of total)

ival-add: 2.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series46.0ms (0.5%)

Memory

12.1MiB live, 83.8MiB allocated

Counts

17 → 468

Calls

Call 1

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

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

Calls

9 calls:

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

simplify199.0ms (2.2%)

Memory

14.2MiB live, 172.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	2914
1	408	2867
2	1129	2867
3	2351	2867
4	6132	2867
0	8229	2681

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 435

Calls

Call 1

Inputs
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
z
z
z
z
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (+ 1 (* -1 (pow y 2))))
(* z (+ 1 (* -1 (pow y 2))))
(* z (+ 1 (* -1 (pow y 2))))
(* z (+ 1 (* -1 (pow y 2))))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
z
z
z
z
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (+ 1 (* -1 (pow y 2))))
(* z (+ 1 (* -1 (pow y 2))))
(* z (+ 1 (* -1 (pow y 2))))
(* z (+ 1 (* -1 (pow y 2))))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
z
z
z
z
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (+ 1 (* -1 (pow y 2))))
(* z (+ 1 (* -1 (pow y 2))))
(* z (+ 1 (* -1 (pow y 2))))
(* z (+ 1 (* -1 (pow y 2))))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
-1
(- y 1)
(- y 1)
(- y 1)
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
z
z
z
z
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
z
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
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z
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rewrite250.0ms (2.7%)

Memory

-15.0MiB live, 340.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	167
0	45	154
1	160	154
2	1215	116
0	9278	113

Stop Event

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

Counts

17 → 975

Calls

Call 1

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

Outputs
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eval238.0ms (2.6%)

Memory: 30.9MiB live, 549.6MiB allocated
Compiler: Compiled 29 706 to 3 616 computations (87.8% saved)

prune186.0ms (2%)

Memory

-32.8MiB live, 131.1MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	1 506	7	1 513
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	1 511	11	1 522

Accuracy

100.0%

Counts

1 522 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.2%	(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x)
▶	76.3%	(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
	63.4%	(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
	36.6%	(.f64 x #s(approx (- 1 ( (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y))) (*.f64 y z)))
✓	41.9%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
▶	38.7%	#s(approx (+ (* (* (- y 1) z) x) x) (.f64 (.f64 y x) z))
▶	57.4%	#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
	57.9%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (+.f64 (.f64 y x) (neg.f64 x)) z))
✓	57.9%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z))
✓	40.4%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))
▶	24.8%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z))

Compiler

Compiled 134 to 130 computations (3% saved)

simplify84.0ms (0.9%)

Memory

22.3MiB live, 59.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	158
0	45	157
1	85	153
2	144	151
3	277	151
4	603	151
5	1056	151
6	1641	151
7	1982	151
8	2134	151
9	2204	151
10	2219	151
11	2228	151
12	2232	151
0	2232	151

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize104.0ms (1.1%)

Memory

-8.0MiB live, 70.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 x z)
accuracy	2.896729292304848	(/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
accuracy	25.475023089831037	#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
accuracy	0	(*.f64 y z)
accuracy	2.8663919804084794	(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
accuracy	27.069504533358803	#s(approx (* (- y 1) z) (*.f64 y z))
accuracy	0	(*.f64 y x)
accuracy	6.813920693559459	(.f64 (.f64 y x) z)
accuracy	37.753851980195684	#s(approx (+ (* (* (- y 1) z) x) x) (.f64 (.f64 y x) z))
accuracy	0	(neg.f64 x)
accuracy	3.6375168342373785	(.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)
accuracy	25.475023089831037	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z))
accuracy	34.821673647303285	#s(approx (* x (- y 1)) (neg.f64 x))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0.00390625	(*.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy	3.696994656988044	(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x)

Samples

90.0ms

256×

valid

Compiler

Compiled 121 to 24 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 58.0ms (77.1% of total)

ival-sub: 10.0ms (13.3% of total)

ival-div: 3.0ms (4% of total)

ival-add: 2.0ms (2.7% of total)

ival-neg: 1.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.3%)

Memory

10.1MiB live, 47.2MiB allocated

Counts

17 → 468

Calls

Call 1

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

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

Calls

9 calls:

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

simplify143.0ms (1.6%)

Memory

-0.0MiB live, 207.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	2935
1	378	2888
2	1109	2885
3	2299	2879
4	5434	2871
0	8111	2719

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 461

Calls

Call 1

Inputs
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
x
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Outputs
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rewrite277.0ms (3%)

Memory

-2.3MiB live, 236.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	139
0	45	138
1	164	132
2	994	132
0	8563	132

Stop Event

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

Counts

17 → 592

Calls

Call 1

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

Outputs
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eval277.0ms (3%)

Memory: 10.9MiB live, 197.6MiB allocated
Compiler: Compiled 16 608 to 2 147 computations (87.1% saved)

prune200.0ms (2.2%)

Memory

-8.4MiB live, 68.7MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 168	4	1 172
Fresh	1	2	3
Picked	2	3	5
Done	0	3	3
Total	1 171	12	1 183

Accuracy

100.0%

Counts

1 183 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.2%	(fma.f64 (-.f64 (*.f64 y x) x) z x)
✓	76.3%	(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
▶	63.4%	(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
▶	75.0%	(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x)
▶	36.6%	(.f64 x #s(approx (- 1 ( (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y))) (*.f64 y z)))
✓	41.9%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
	40.4%	#s(approx (+ (* (* (- y 1) z) x) x) (/.f64 y (pow.f64 (*.f64 z x) #s(literal -1 binary64))))
✓	38.7%	#s(approx (+ (* (* (- y 1) z) x) x) (.f64 (.f64 y x) z))
▶	40.4%	#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y))))
✓	57.9%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z))
✓	40.4%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))
✓	24.8%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z))

Compiler

Compiled 125 to 121 computations (3.2% saved)

simplify282.0ms (3%)

Memory

6.9MiB live, 177.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	182
0	49	182
1	99	178
2	209	153
3	716	153
4	3032	153
5	7343	153
0	8270	151

Stop Event

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

Calls

Call 1

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

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

localize264.0ms (2.9%)

Memory

3.3MiB live, 131.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x z)
accuracy	2.896729292304848	(/.f64 (*.f64 x z) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y)))
accuracy	25.475023089831037	#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y))))
accuracy	27.43968154356848	#s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y))
accuracy	0	(*.f64 y x)
accuracy	3.696994656988044	(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x)
accuracy	26.862317578632794	#s(approx (* x (- y 1)) (*.f64 y x))
accuracy	0	(*.f64 y z)
accuracy	2.8781107304084794	(.f64 x #s(approx (- 1 ( (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y))) (*.f64 y z)))
accuracy	38.15539671246831	#s(approx (- 1 (* (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y))) (*.f64 y z))
accuracy	0	(neg.f64 z)
accuracy	2.8663919804084794	(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
accuracy	34.864841938804766	#s(approx (* (- y 1) z) (neg.f64 z))
accuracy	0	(*.f64 y x)
accuracy	0.01171875	(-.f64 (*.f64 y x) x)
accuracy	3.696994656988044	(fma.f64 (-.f64 (*.f64 y x) x) z x)

Samples

223.0ms

256×

valid

Compiler

Compiled 143 to 35 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-mult: 80.0ms (51.4% of total)

ival-div: 63.0ms (40.5% of total)

ival-sub: 5.0ms (3.2% of total)

ival-add: 5.0ms (3.2% of total)

ival-neg: 2.0ms (1.3% of total)

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

exact: 0.0ms (0% of total)

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

series185.0ms (2%)

Memory

-22.9MiB live, 16.0MiB allocated

Counts

15 → 408

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
160.0ms	z	@	inf	((+ (* (- (* y x) x) z) x) (- (* y x) x) (* y x) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z) (* x (- 1 (* (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y)))) (- 1 (* (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y))) (* y z) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (* x (- 1 (* (- 1 y) z))) (/ (* x z) (/ 1 (- y 1))) (* x z) (/ 1 (- y 1)))
3.0ms	z	@	-inf	((+ (* (- (* y x) x) z) x) (- (* y x) x) (* y x) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z) (* x (- 1 (* (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y)))) (- 1 (* (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y))) (* y z) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (* x (- 1 (* (- 1 y) z))) (/ (* x z) (/ 1 (- y 1))) (* x z) (/ 1 (- y 1)))
2.0ms	x	@	-inf	((+ (* (- (* y x) x) z) x) (- (* y x) x) (* y x) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z) (* x (- 1 (* (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y)))) (- 1 (* (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y))) (* y z) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (* x (- 1 (* (- 1 y) z))) (/ (* x z) (/ 1 (- y 1))) (* x z) (/ 1 (- y 1)))
2.0ms	x	@	inf	((+ (* (- (* y x) x) z) x) (- (* y x) x) (* y x) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z) (* x (- 1 (* (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y)))) (- 1 (* (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y))) (* y z) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (* x (- 1 (* (- 1 y) z))) (/ (* x z) (/ 1 (- y 1))) (* x z) (/ 1 (- y 1)))
2.0ms	y	@	-inf	((+ (* (- (* y x) x) z) x) (- (* y x) x) (* y x) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z) (* x (- 1 (* (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y)))) (- 1 (* (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y))) (* y z) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (* x (- 1 (* (- 1 y) z))) (/ (* x z) (/ 1 (- y 1))) (* x z) (/ 1 (- y 1)))

simplify140.0ms (1.5%)

Memory

10.6MiB live, 91.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	2584
1	484	2579
2	1364	2576
3	2851	2574
4	6657	2562
0	8080	2392

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 403

Calls

Call 1

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

rewrite212.0ms (2.3%)

Memory

-3.5MiB live, 187.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	161
0	49	161
1	216	157
2	1675	133
0	8517	133

Stop Event

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

Counts

15 → 222

Calls

Call 1

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

Outputs
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eval255.0ms (2.8%)

Memory: 2.4MiB live, 163.1MiB allocated
Compiler: Compiled 8 429 to 772 computations (90.8% saved)

prune37.0ms (0.4%)

Memory

-8.5MiB live, 77.7MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	650	1	651
Fresh	1	0	1
Picked	0	5	5
Done	0	6	6
Total	651	12	663

Accuracy

100.0%

Counts

663 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x y) x))) z x)
✓	94.2%	(fma.f64 (-.f64 (*.f64 y x) x) z x)
✓	76.3%	(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
✓	63.4%	(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
✓	75.0%	(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x)
✓	36.6%	(.f64 x #s(approx (- 1 ( (/ (* (+ (* (neg y) y) 1) z) (+ (* (neg y) y) 1)) (- 1 y))) (*.f64 y z)))
✓	41.9%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
✓	38.7%	#s(approx (+ (* (* (- y 1) z) x) x) (.f64 (.f64 y x) z))
✓	40.4%	#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y))))
✓	57.9%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z))
✓	40.4%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))
✓	24.8%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z))

Compiler

Compiled 266 to 156 computations (41.4% saved)

regimes54.0ms (0.6%)

Memory

16.8MiB live, 95.6MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	y
10.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
7.0ms	x
7.0ms	z
7.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
99.9%	2	`x`
95.5%	1	`y`
99.9%	3	`z`
99.9%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
99.9%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
99.9%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
95.5%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes12.0ms (0.1%)

Memory

-11.4MiB live, 26.4MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
5.0ms	z

Results

Accuracy	Segments	Branch
99.9%	3	`z`
94.2%	1	`x`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes19.0ms (0.2%)

Memory

4.9MiB live, 47.1MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)

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

Calls

4 calls:

6.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
4.0ms	z
4.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
4.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
91.1%	4	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
97.6%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
97.6%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
99.5%	3	`z`

Compiler

Compiled 22 to 24 computations (-9.1% saved)

regimes26.0ms (0.3%)

Memory

-2.9MiB live, 73.9MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	(-.f64 #s(literal 1 binary64) y)
5.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
4.0ms	x
4.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
80.7%	2	`x`
85.6%	4	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
85.6%	4	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
95.3%	3	`y`
95.3%	3	`(-.f64 #s(literal 1 binary64) y)`
85.6%	4	`z`

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes7.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
94.0%	3	`y`
94.0%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 4 to 8 computations (-100% saved)

regimes91.0ms (1%)

Memory

-8.5MiB live, 29.7MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
3.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
80.7%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
84.4%	3	`(-.f64 #s(literal 1 binary64) y)`
84.4%	3	`y`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes20.0ms (0.2%)

Memory

-13.4MiB live, 32.0MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	(-.f64 #s(literal 1 binary64) y)
3.0ms	y
2.0ms	z
2.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))

Results

Accuracy	Segments	Branch
82.8%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
82.8%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
69.7%	3	`z`
83.6%	3	`(-.f64 #s(literal 1 binary64) y)`
83.6%	3	`y`

Compiler

Compiled 17 to 24 computations (-41.2% saved)

regimes151.0ms (1.6%)

Memory

-1.3MiB live, 38.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

137.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
2.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
63.4%	1	`z`
63.4%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
63.4%	1	`x`
63.4%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
63.4%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
63.4%	1	`(-.f64 #s(literal 1 binary64) y)`
63.4%	1	`y`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes140.0ms (1.5%)

Memory

-4.6MiB live, 34.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))

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

Outputs
(.f64 x #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))

Calls

7 calls:

128.0ms	z
2.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms	y
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
63.4%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
63.4%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
63.4%	1	`(-.f64 #s(literal 1 binary64) y)`
63.4%	1	`z`
63.4%	1	`x`
63.4%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
63.4%	1	`y`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes11.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))

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

#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))

Calls

7 calls:

2.0ms	z
2.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
63.0%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
54.6%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
41.9%	1	`(-.f64 #s(literal 1 binary64) y)`
63.0%	3	`z`
41.9%	1	`x`
63.0%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
45.5%	3	`y`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes150.0ms (1.6%)

Memory

-27.3MiB live, 12.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))

Outputs
(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))

Calls

5 calls:

144.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
1.0ms	z
1.0ms	y
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
1.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
41.9%	1	`y`
41.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
41.9%	1	`z`
41.9%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
41.9%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

bsearch12.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
11.0ms	2.843568673520346e-50	1.8459589836943137e-46

Samples

6.0ms

128×

valid

Compiler

Compiled 140 to 142 computations (-1.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (33.4% of total)

ival-mult: 1.0ms (33.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch385.0ms (4.2%)

Memory

-13.1MiB live, 32.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
372.0ms	6.539923779385004e-20	3.2961856460722476e-19
11.0ms	-1.1931647307551395e-85	-1.3179065887581957e-88

Samples

11.0ms

224×

valid

Compiler

Compiled 222 to 224 computations (-0.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (54% of total)

ival-sub: 2.0ms (36% of total)

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

exact: 0.0ms (0% of total)

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

bsearch368.0ms (4%)

Memory

-5.6MiB live, 33.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
353.0ms	6.155988324645037e-12	9.01365777029671e-9
12.0ms	-2.1596906098569322e+21	-66079166769363.57

Samples

355.0ms

272×

valid

Compiler

Compiled 267 to 286 computations (-7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 3.0ms (46.6% of total)

ival-mult: 3.0ms (46.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	245985702700408.84
0.0ms	-571624810.7297834	0.9999999972178999

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch90.0ms (1%)

Memory

12.6MiB live, 51.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
77.0ms	2.2790072937357964e-29	1.6590331900477268e-17
11.0ms	-4.375438631586346e+33	-3.928997092536477e+30

Samples

14.0ms

288×

valid

Compiler

Compiled 246 to 266 computations (-8.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 3.0ms (43.8% of total)

ival-mult: 3.0ms (43.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Memory

2.4MiB live, 41.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.604305548488661e+137	4.3446927512283175e+139
8.0ms	-2.017413825752531e+55	-1.3971581214880935e+54

Samples

11.0ms

208×

valid

Compiler

Compiled 168 to 196 computations (-16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 4.0ms (62% of total)

ival-mult: 2.0ms (31% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.604305548488661e+137	4.3446927512283175e+139
1.0ms	-2.017413825752531e+55	-1.3971581214880935e+54

Compiler

Compiled 168 to 196 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.155988324645037e-12	11.010068791794454
0.0ms	-2.1596906098569322e+21	-2.602097485805347e+19

Compiler

Compiled 12 to 15 computations (-25% saved)

simplify102.0ms (1.1%)

Memory

1.7MiB live, 82.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	400
1	111	400
2	122	400
3	131	400
4	147	400
5	172	400

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 2828210957895823/25711008708143844408671393477458601640355247900524685364822016 binary64)) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x) (fma.f64 (.f64 (-.f64 y #s(literal 1 binary64)) z) x x))
(if (<=.f64 z #s(literal -8259058736780653/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x) (if (<=.f64 z #s(literal 1298074214633707/5192296858534827628530496329220096 binary64)) (fma.f64 #s(approx ( (- y 1) z) (.f64 y z)) x x) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x)))
(if (<=.f64 z #s(literal -67000000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z)) (if (<=.f64 z #s(literal 5440166188265831/604462909807314587353088 binary64)) (fma.f64 #s(approx (* (- y 1) z) (.f64 y z)) x x) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -500000000 binary64)) (fma.f64 #s(approx (* (- y 1) z) (.f64 y z)) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(approx ( (- y 1) z) (neg.f64 z)) x x) (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)))
(if (<=.f64 y #s(literal -4000000000000000079538499354624 binary64)) (fma.f64 #s(approx (* x (- y 1)) (.f64 y x)) z x) (if (<=.f64 y #s(literal 5354556135364041/324518553658426726783156020576256 binary64)) (fma.f64 #s(approx ( (- y 1) z) (neg.f64 z)) x x) (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x)))
(if (<=.f64 y #s(literal -17999999999999999367553525757101608381248840807340834816 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y)) (if (<=.f64 y #s(literal 880000000000000061953373430012764897104336460035010283471069963321758330303373199799010719567967414421336086195967985688771273009274028032 binary64)) (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #s(approx (+ (* (* (- y 1) z) x) x) (.f64 (.f64 y x) z))))
(if (<=.f64 y #s(literal -17999999999999999367553525757101608381248840807340834816 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y)) (if (<=.f64 y #s(literal 880000000000000061953373430012764897104336460035010283471069963321758330303373199799010719567967414421336086195967985688771273009274028032 binary64)) (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
(.f64 x #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -2000000000000000000000 binary64)) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z))))
(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 x #s(literal 2828210957895823/25711008708143844408671393477458601640355247900524685364822016 binary64)) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x) (fma.f64 (.f64 (-.f64 y #s(literal 1 binary64)) z) x x))
(if (<=.f64 x #s(literal 2828210957895823/25711008708143844408671393477458601640355247900524685364822016 binary64)) (fma.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z x) (fma.f64 (.f64 z (-.f64 y #s(literal 1 binary64))) x x))
(if (<=.f64 z #s(literal -8259058736780653/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x) (if (<=.f64 z #s(literal 1298074214633707/5192296858534827628530496329220096 binary64)) (fma.f64 #s(approx ( (- y 1) z) (.f64 y z)) x x) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x)))
(if (<=.f64 z #s(literal -8259058736780653/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (fma.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z x) (if (<=.f64 z #s(literal 1298074214633707/5192296858534827628530496329220096 binary64)) (fma.f64 #s(approx ( (- y 1) z) (.f64 z y)) x x) (fma.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z x)))
(if (<=.f64 z #s(literal -67000000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z)) (if (<=.f64 z #s(literal 5440166188265831/604462909807314587353088 binary64)) (fma.f64 #s(approx (* (- y 1) z) (.f64 y z)) x x) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z))))
(if (<=.f64 z #s(literal -67000000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 z (.f64 (-.f64 y #s(literal 1 binary64)) x))) (if (<=.f64 z #s(literal 5440166188265831/604462909807314587353088 binary64)) (fma.f64 #s(approx (* (- y 1) z) (.f64 z y)) x x) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 z (.f64 (-.f64 y #s(literal 1 binary64)) x)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -500000000 binary64)) (fma.f64 #s(approx (* (- y 1) z) (.f64 y z)) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(approx ( (- y 1) z) (neg.f64 z)) x x) (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -500000000 binary64)) (fma.f64 #s(approx (* (- y 1) z) (.f64 z y)) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(approx ( (- y 1) z) (neg.f64 z)) x x) (fma.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x x)))
(if (<=.f64 y #s(literal -4000000000000000079538499354624 binary64)) (fma.f64 #s(approx (* x (- y 1)) (.f64 y x)) z x) (if (<=.f64 y #s(literal 5354556135364041/324518553658426726783156020576256 binary64)) (fma.f64 #s(approx ( (- y 1) z) (neg.f64 z)) x x) (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x)))
(if (<=.f64 y #s(literal -17999999999999999367553525757101608381248840807340834816 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y)) (if (<=.f64 y #s(literal 880000000000000061953373430012764897104336460035010283471069963321758330303373199799010719567967414421336086195967985688771273009274028032 binary64)) (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #s(approx (+ (* (* (- y 1) z) x) x) (.f64 (.f64 y x) z))))
(if (<=.f64 y #s(literal -17999999999999999367553525757101608381248840807340834816 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 z x) y)) (if (<=.f64 y #s(literal 880000000000000061953373430012764897104336460035010283471069963321758330303373199799010719567967414421336086195967985688771273009274028032 binary64)) (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #s(approx (+ (* (* (- y 1) z) x) x) (.f64 (.f64 y x) z))))
(if (<=.f64 y #s(literal -17999999999999999367553525757101608381248840807340834816 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y)) (if (<=.f64 y #s(literal 880000000000000061953373430012764897104336460035010283471069963321758330303373199799010719567967414421336086195967985688771273009274028032 binary64)) (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))))
(if (<=.f64 y #s(literal -17999999999999999367553525757101608381248840807340834816 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 z x) y)) (if (<=.f64 y #s(literal 880000000000000061953373430012764897104336460035010283471069963321758330303373199799010719567967414421336086195967985688771273009274028032 binary64)) (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 z x) y))))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
(.f64 x #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(.f64 #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x)
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -2000000000000000000000 binary64)) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -2000000000000000000000 binary64)) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (.f64 #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) x) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z))))
(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
(.f64 #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)) x)

soundness1.4s (15.1%)

Memory

13.5MiB live, 809.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	2935
1	378	2888
2	1109	2885
3	2299	2879
4	5434	2871
0	8111	2719
0	8	24
0	12	24
1	46	24
2	328	24
3	3538	24
0	9414	22
0	123	2914
1	408	2867
2	1129	2867
3	2351	2867
4	6132	2867
0	8229	2681
0	74	592
1	234	592
2	627	592
3	1396	592
4	4039	592
5	6285	592
6	7489	592
0	8044	544

Stop Event

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

Compiler

Compiled 317 to 162 computations (48.9% saved)

preprocess164.0ms (1.8%)

Memory: -34.5MiB live, 326.3MiB allocated
Compiler: Compiled 732 to 288 computations (60.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (11.7%)

explain92.0ms (1%)

preprocess232.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify54.0ms (0.6%)

localize26.0ms (0.3%)

series10.0ms (0.1%)

simplify142.0ms (1.5%)

rewrite229.0ms (2.5%)

eval217.0ms (2.4%)

prune63.0ms (0.7%)

simplify280.0ms (3%)

localize177.0ms (1.9%)

series46.0ms (0.5%)

simplify199.0ms (2.2%)

rewrite250.0ms (2.7%)

eval238.0ms (2.6%)

prune186.0ms (2%)

simplify84.0ms (0.9%)

localize104.0ms (1.1%)

series32.0ms (0.3%)

simplify143.0ms (1.6%)

rewrite277.0ms (3%)

eval277.0ms (3%)

prune200.0ms (2.2%)

simplify282.0ms (3%)

localize264.0ms (2.9%)

series185.0ms (2%)

simplify140.0ms (1.5%)

rewrite212.0ms (2.3%)

eval255.0ms (2.8%)

prune37.0ms (0.4%)

regimes54.0ms (0.6%)

regimes12.0ms (0.1%)

regimes19.0ms (0.2%)

regimes26.0ms (0.3%)

regimes7.0ms (0.1%)

regimes91.0ms (1%)

regimes20.0ms (0.2%)

regimes151.0ms (1.6%)

regimes140.0ms (1.5%)

regimes11.0ms (0.1%)

regimes150.0ms (1.6%)

bsearch12.0ms (0.1%)

bsearch385.0ms (4.2%)

bsearch368.0ms (4%)

bsearch1.0ms (0%)

bsearch90.0ms (1%)

bsearch21.0ms (0.2%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

simplify102.0ms (1.1%)

soundness1.4s (15.1%)

preprocess164.0ms (1.8%)

end0.0ms (0%)

Profiling