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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample823.0ms (10.4%)

Memory

6.9MiB live, 1 105.0MiB allocated

Samples

496.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-sub: 122.0ms (48% of total)

ival-mult: 119.0ms (46.8% of total)

ival-true: 5.0ms (2% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain187.0ms (2.4%)

Memory

-14.4MiB live, 126.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
11	-	-	`(.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**	11	0

Confusion

	Predicted +	Predicted -
+	11	0
-	0	245

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	11	0	0
-	0	0	245

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	245
1	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms

512×

valid

Compiler

Compiled 97 to 36 computations (62.9% saved)

Precisions

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

ival-mult: 7.0ms (54.1% of total)

ival-sub: 5.0ms (38.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess271.0ms (3.4%)

Memory

-12.5MiB live, 70.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	105	82
2	331	81
3	1265	81
4	3082	81
5	4395	81
6	4818	81
7	5011	81
8	5100	81
9	5132	81
10	5185	81
11	5185	81
12	5185	81
13	5289	81
14	5317	81
0	8	9
0	12	9
1	23	9
2	56	9
3	158	9
4	499	9
5	1057	9
6	1477	9
7	1840	9
8	1871	9
9	1871	9
0	1871	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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify73.0ms (0.9%)

Memory

17.0MiB live, 52.1MiB 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	56	28
3	158	28
4	499	28
5	1057	28
6	1477	28
7	1840	28
8	1871	28
9	1871	28
0	1871	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

localize38.0ms (0.5%)

Memory

-8.2MiB live, 30.1MiB 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	2.6564400894130333	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Samples

30.0ms

256×

valid

Compiler

Compiled 58 to 18 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sub: 19.0ms (83.3% of total)

ival-mult: 3.0ms (13.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB 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	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	@	-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))

simplify221.0ms (2.8%)

Memory

5.6MiB live, 122.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	592
1	234	592
2	639	592
3	1493	592
4	4439	592
5	6743	592
6	7941	592
0	8207	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 (-.f64 y #s(literal 1 binary64)) z) 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 (+ (* 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 (-.f64 y #s(literal 1 binary64)) z) 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)
(* -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)

rewrite325.0ms (4.1%)

Memory

-20.3MiB live, 263.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	46	24
2	332	24
3	3557	24
0	9466	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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eval101.0ms (1.3%)

Memory: 28.4MiB live, 140.5MiB allocated
Compiler: Compiled 11 616 to 1 744 computations (85% saved)

prune36.0ms (0.5%)

Memory

-31.5MiB live, 51.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	531	8	539
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	532	8	540

Accuracy

100.0%

Counts

540 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.0%	(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
	95.9%	(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x)
▶	95.8%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))))
	64.6%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
▶	60.5%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
	38.3%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (*.f64 y z)))
▶	36.8%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
▶	40.8%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))

Compiler

Compiled 114 to 114 computations (0% saved)

simplify81.0ms (1%)

Memory

33.7MiB live, 72.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
cost-diff	6848	(/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) y) #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	#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
cost-diff	0	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (*.f64 (-.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 z x)
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	146
0	39	143
1	68	143
2	136	138
3	277	138
4	639	138
5	1205	138
6	1762	138
7	2215	138
8	2385	138
9	2487	138
10	2495	138
11	2499	138
12	2505	138
13	2507	138
0	2507	133

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize65.0ms (0.8%)

Memory

-29.3MiB live, 133.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
accuracy	0.1015625	(/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
accuracy	2.6564400894130333	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 (-.f64 y #s(literal 1 binary64)) z)
accuracy	2.6564400894130333	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
accuracy	22.890010822291156	#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
accuracy	0	(*.f64 x z)
accuracy	5.567980489220329	(.f64 (.f64 x z) y)
accuracy	36.82284168386741	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))
accuracy	2.6564400894130333	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
accuracy	40.64475584819812	#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 z x)
accuracy	1.9150086558771313	(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)

Samples

47.0ms

256×

valid

Compiler

Compiled 236 to 43 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 14.0ms (43.8% of total)

ival-sub: 11.0ms (34.4% of total)

ival-pow: 3.0ms (9.4% of total)

ival-div: 2.0ms (6.3% of total)

ival-add: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.4%)

Memory

-1.1MiB live, 78.8MiB allocated

Counts

16 → 420

Calls

Call 1

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

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

Calls

9 calls:

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

simplify162.0ms (2.1%)

Memory

5.9MiB live, 214.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	2660
1	404	2645
2	1179	2643
3	2973	2643
4	7144	2643
0	8361	2437

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 412

Calls

Call 1

Inputs
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x z)
(* x z)
(* x z)
(* x z)
x
(+ x (* x (* z (- y 1))))
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1
(+ 1 (* z (- y 1)))
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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))
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(* x z)
(* x z)
(* x z)
(* x z)
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
1
(+ 1 (* z (- y 1)))
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(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- 1 y))
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(* z (- 1 y))
1
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x
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(* x (* y z))
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(* x (* y z))
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(* y (+ (* x z) (/ (* x (- 1 z)) y)))
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(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
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y
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(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* y z)
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(/ -1 y)
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(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
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(* x (+ 1 (* z (- y 1))))
(* x z)
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(* x (- 1 (* z (- 1 y))))
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(* x z)
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Outputs
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(* x z)
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x
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(+ x (* x (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
1
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x
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(.f64 (.f64 y z) x)
(* x z)
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(* x z)
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(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) z) x)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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rewrite162.0ms (2.1%)

Memory

-15.8MiB live, 263.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	125
0	39	122
1	136	118
2	961	117
0	9181	112

Stop Event

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

Counts

16 → 734

Calls

Call 1

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

Outputs
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eval324.0ms (4.1%)

Memory: 25.7MiB live, 371.2MiB allocated
Compiler: Compiled 19 031 to 2 492 computations (86.9% saved)

prune133.0ms (1.7%)

Memory

20.4MiB live, 96.8MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1 229	7	1 236
Fresh	3	0	3
Picked	1	4	5
Done	0	0	0
Total	1 233	11	1 244

Accuracy

100.0%

Counts

1 244 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.0%	(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
▶	95.8%	(fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) x x)
	69.2%	(.f64 (fma.f64 (.f64 x z) (-.f64 y #s(literal 1 binary64)) x) (.f64 (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z (neg.f64 x)) (pow.f64 (fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z (neg.f64 x)) #s(literal -1 binary64))))
	73.2%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))))
▶	64.6%	(*.f64 x #s(approx (- 1 (/ z (pow (- 1 y) -1))) (-.f64 #s(literal 1 binary64) z)))
▶	38.3%	(.f64 x #s(approx (- 1 (/ z (pow (- 1 y) -1))) (.f64 y z)))
✓	60.5%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
▶	30.8%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z))))
✓	36.8%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
▶	40.7%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 y x) z))
✓	40.8%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))

Compiler

Compiled 170 to 141 computations (17.1% saved)

simplify92.0ms (1.2%)

Memory

-10.9MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	160
0	42	160
1	76	160
2	134	151
3	253	151
4	669	151
5	1206	151
6	1744	151
7	2174	151
8	2395	151
9	2524	151
10	2586	151
11	2592	151
12	2601	151
13	2604	151
0	2604	145

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize93.0ms (1.2%)

Memory

12.2MiB live, 84.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y z)
accuracy	2.6564400894130333	(.f64 x #s(approx (- 1 (/ z (pow (- 1 y) -1))) (.f64 y z)))
accuracy	38.33327204398927	#s(approx (- 1 (/ z (pow (- 1 y) -1))) (*.f64 y z))
accuracy	0	(*.f64 y x)
accuracy	4.617734196525819	(.f64 (.f64 y x) z)
accuracy	36.82284168386741	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 y x) z))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	2.6564400894130333	(*.f64 x #s(approx (- 1 (/ z (pow (- 1 y) -1))) (-.f64 #s(literal 1 binary64) z)))
accuracy	25.654267148478965	#s(approx (- 1 (/ z (pow (- 1 y) -1))) (-.f64 #s(literal 1 binary64) z))
accuracy	0	(neg.f64 z)
accuracy	2.6564400894130333	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z))))
accuracy	22.890010822291156	#s(approx (- 1 (* (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))
accuracy	32.878009039275035	#s(approx (* (- y 1) z) (neg.f64 z))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 z (-.f64 y #s(literal 1 binary64)))
accuracy	2.6564400894130333	(fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) x x)

Samples

77.0ms

256×

valid

Compiler

Compiled 206 to 45 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 34.0ms (54.4% of total)

ival-mult: 13.0ms (20.8% of total)

ival-sub: 9.0ms (14.4% of total)

ival-pow: 3.0ms (4.8% of total)

ival-add: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (0.9%)

Memory

-9.5MiB live, 65.8MiB allocated

Counts

16 → 420

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	y	@	0	((+ (* (* z (- y 1)) x) x) (* z (- y 1)) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (neg z) (* x (- 1 (/ z (pow (- 1 y) -1)))) (- 1 (/ z (pow (- 1 y) -1))) (- 1 z) (* x (- 1 (* (- 1 y) z))) (* (* y x) z) (* y x) (* x (- 1 (/ z (pow (- 1 y) -1)))) (- 1 (/ z (pow (- 1 y) -1))) (* y z))
4.0ms	x	@	0	((+ (* (* z (- y 1)) x) x) (* z (- y 1)) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (neg z) (* x (- 1 (/ z (pow (- 1 y) -1)))) (- 1 (/ z (pow (- 1 y) -1))) (- 1 z) (* x (- 1 (* (- 1 y) z))) (* (* y x) z) (* y x) (* x (- 1 (/ z (pow (- 1 y) -1)))) (- 1 (/ z (pow (- 1 y) -1))) (* y z))
2.0ms	z	@	-inf	((+ (* (* z (- y 1)) x) x) (* z (- y 1)) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (neg z) (* x (- 1 (/ z (pow (- 1 y) -1)))) (- 1 (/ z (pow (- 1 y) -1))) (- 1 z) (* x (- 1 (* (- 1 y) z))) (* (* y x) z) (* y x) (* x (- 1 (/ z (pow (- 1 y) -1)))) (- 1 (/ z (pow (- 1 y) -1))) (* y z))
2.0ms	x	@	-inf	((+ (* (* z (- y 1)) x) x) (* z (- y 1)) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (neg z) (* x (- 1 (/ z (pow (- 1 y) -1)))) (- 1 (/ z (pow (- 1 y) -1))) (- 1 z) (* x (- 1 (* (- 1 y) z))) (* (* y x) z) (* y x) (* x (- 1 (/ z (pow (- 1 y) -1)))) (- 1 (/ z (pow (- 1 y) -1))) (* y z))
2.0ms	y	@	-inf	((+ (* (* z (- y 1)) x) x) (* z (- y 1)) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (neg z) (* x (- 1 (/ z (pow (- 1 y) -1)))) (- 1 (/ z (pow (- 1 y) -1))) (- 1 z) (* x (- 1 (* (- 1 y) z))) (* (* y x) z) (* y x) (* x (- 1 (/ z (pow (- 1 y) -1)))) (- 1 (/ z (pow (- 1 y) -1))) (* y z))

simplify155.0ms (2%)

Memory

-2.7MiB live, 161.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	2579
1	327	2574
2	966	2574
3	2153	2574
4	5705	2574
0	8084	2370

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 413

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

Outputs
x
(+ x (* x (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(+ x (* x (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(+ x (* x (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* z (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* z (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* z (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* z (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
x
(+ x (* x (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(+ x (* x (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(+ 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)
(+ 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))
(* z (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* z (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* z (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* z (- y 1))
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rewrite292.0ms (3.7%)

Memory

-2.9MiB live, 171.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	145
0	42	145
1	153	137
2	1064	136
0	8754	130

Stop Event

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

Counts

16 → 352

Calls

Call 1

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

Outputs
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eval274.0ms (3.5%)

Memory: 11.2MiB live, 123.7MiB allocated
Compiler: Compiled 9 388 to 1 181 computations (87.4% saved)

prune49.0ms (0.6%)

Memory

-0.6MiB live, 80.6MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	764	1	765
Fresh	0	2	2
Picked	1	4	5
Done	0	4	4
Total	765	11	776

Accuracy

100.0%

Counts

776 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.0%	(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
▶	73.2%	(fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) x x)
▶	69.2%	(.f64 (fma.f64 (.f64 x z) (-.f64 y #s(literal 1 binary64)) x) (.f64 (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z (neg.f64 x)) (pow.f64 (fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z (neg.f64 x)) #s(literal -1 binary64))))
▶	73.2%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))))
✓	64.6%	(*.f64 x #s(approx (- 1 (/ z (pow (- 1 y) -1))) (-.f64 #s(literal 1 binary64) z)))
✓	38.3%	(.f64 x #s(approx (- 1 (/ z (pow (- 1 y) -1))) (.f64 y z)))
✓	60.5%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
✓	30.8%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z))))
✓	36.8%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
✓	40.7%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 y x) z))
✓	40.8%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))

Compiler

Compiled 97 to 83 computations (14.4% saved)

simplify143.0ms (1.8%)

Memory

-3.6MiB live, 151.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y z)
cost-diff	0	#s(approx (* z (- y 1)) (*.f64 y z))
cost-diff	0	(fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) x x)
cost-diff	0	(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
cost-diff	128	(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z (neg.f64 x))
cost-diff	320	(.f64 (fma.f64 (.f64 x z) (-.f64 y #s(literal 1 binary64)) x) (.f64 (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z (neg.f64 x)) (pow.f64 (fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z (neg.f64 x)) #s(literal -1 binary64))))
cost-diff	8576	(.f64 (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z (neg.f64 x)) (pow.f64 (fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z (neg.f64 x)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(/.f64 z #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 z #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))))
cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	180
0	44	138
1	78	138
2	159	138
3	490	138
4	3104	138
0	8207	136

Stop Event

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

Calls

Call 1

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

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

localize74.0ms (0.9%)

Memory

0.1MiB live, 120.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y z)
accuracy	2.6564400894130333	(fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) x x)
accuracy	30.041763483643077	#s(approx (* z (- y 1)) (*.f64 y z))
accuracy	0.5751875005112196	(pow.f64 (fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z (neg.f64 x)) #s(literal -1 binary64))
accuracy	1.9150086558771313	(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
accuracy	2.6267381083238233	(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z (neg.f64 x))
accuracy	14.687654058846219	(.f64 (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z (neg.f64 x)) (pow.f64 (fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z (neg.f64 x)) #s(literal -1 binary64)))
accuracy	0	(-.f64 #s(literal 1 binary64) (/.f64 z #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))))
accuracy	0.1015625	(/.f64 z #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
accuracy	2.6564400894130333	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))))
accuracy	30.375676103510457	#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))

Samples

58.0ms

256×

valid

Compiler

Compiled 317 to 50 computations (84.2% saved)

Precisions

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

ival-mult: 15.0ms (34.3% of total)

ival-pow: 9.0ms (20.6% of total)

ival-div: 7.0ms (16% of total)

ival-add: 6.0ms (13.7% of total)

ival-sub: 4.0ms (9.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory

-13.9MiB live, 63.1MiB allocated

Counts

12 → 360

Calls

Call 1

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

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

Calls

9 calls:

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

simplify191.0ms (2.4%)

Memory

25.8MiB live, 335.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	3296
1	900	3164
2	3049	3112
0	8589	2932

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 355

Calls

Call 1

Inputs
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)))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
1
1
1
1
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* -1 x)
(- (* x (* z (- y 1))) x)
(- (* x (* z (- y 1))) x)
(- (* x (* z (- y 1))) x)
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))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* y z)
(* y z)
(* y z)
(* y z)
(/ -1 x)
(- (* z (- (/ 1 x) (/ y x))) (/ 1 x))
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rewrite326.0ms (4.1%)

Memory

-20.4MiB live, 260.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	151
0	44	129
1	174	109
2	1195	109
0	8650	109

Stop Event

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

Counts

12 → 634

Calls

Call 1

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

Outputs
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eval260.0ms (3.3%)

Memory: -0.1MiB live, 402.5MiB allocated
Compiler: Compiled 55 005 to 3 120 computations (94.3% saved)

prune32.0ms (0.4%)

Memory

28.0MiB live, 110.4MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	1 265	1	1 266
Fresh	0	0	0
Picked	1	2	3
Done	0	8	8
Total	1 266	11	1 277

Accuracy

100.0%

Counts

1 277 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.0%	(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
✓	73.2%	(fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) x x)
	69.2%	(.f64 (fma.f64 (.f64 x z) (-.f64 y #s(literal 1 binary64)) x) (.f64 (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z (neg.f64 x)))))
✓	73.2%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))))
✓	64.6%	(*.f64 x #s(approx (- 1 (/ z (pow (- 1 y) -1))) (-.f64 #s(literal 1 binary64) z)))
✓	38.3%	(.f64 x #s(approx (- 1 (/ z (pow (- 1 y) -1))) (.f64 y z)))
✓	60.5%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
✓	30.8%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z))))
✓	36.8%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
✓	40.7%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 y x) z))
✓	40.8%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))

Compiler

Compiled 272 to 147 computations (46% saved)

regimes50.0ms (0.6%)

Memory

4.2MiB live, 121.7MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

7 calls:

11.0ms	y
7.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
7.0ms	(-.f64 #s(literal 1 binary64) y)
6.0ms	z
6.0ms	x

Results

Accuracy	Segments	Branch
99.9%	2	`x`
97.0%	1	`y`
97.0%	1	`z`
98.8%	2	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
97.0%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
97.0%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
97.0%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes77.0ms (1%)

Memory

-21.3MiB live, 92.5MiB allocated

Counts

11 → 3

Calls

Call 1

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

Calls

7 calls:

24.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
18.0ms	z
17.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) y)
4.0ms	y

Results

Accuracy	Segments	Branch
99.9%	3	`z`
95.9%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
95.9%	1	`y`
95.9%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
95.9%	1	`(-.f64 #s(literal 1 binary64) y)`
95.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
95.9%	1	`x`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes33.0ms (0.4%)

Memory

-3.8MiB live, 56.8MiB allocated

Counts

10 → 5

Calls

Call 1

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

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

Calls

7 calls:

9.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
4.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
77.5%	3	`x`
94.9%	3	`y`
90.1%	4	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
99.2%	5	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
99.2%	5	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
94.9%	3	`(-.f64 #s(literal 1 binary64) y)`
95.2%	3	`z`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes19.0ms (0.2%)

Memory

0.7MiB live, 40.1MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	z
3.0ms	y
3.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
3.0ms	(-.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
94.9%	3	`y`
94.9%	3	`(-.f64 #s(literal 1 binary64) y)`
81.2%	3	`z`
83.6%	5	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
83.6%	5	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`

Compiler

Compiled 17 to 24 computations (-41.2% saved)

regimes206.0ms (2.6%)

Memory

-14.0MiB live, 23.1MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

198.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
3.0ms	y
3.0ms	(-.f64 #s(literal 1 binary64) y)

Results

Accuracy	Segments	Branch
80.3%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
88.3%	3	`y`
88.3%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes5.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
87.6%	3	`y`
87.6%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 4 to 8 computations (-100% saved)

regimes21.0ms (0.3%)

Memory

13.1MiB live, 52.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

8.0ms	z
2.0ms	x
2.0ms	y
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)))

Results

Accuracy	Segments	Branch
64.6%	1	`x`
64.6%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
64.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
64.6%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
64.6%	1	`z`
64.6%	1	`y`
64.6%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes16.0ms (0.2%)

Memory

-10.7MiB live, 32.0MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

5.0ms	y
2.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms	x
2.0ms	z
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
55.0%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
39.2%	2	`(-.f64 #s(literal 1 binary64) y)`
39.3%	2	`x`
63.9%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
63.9%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
44.0%	4	`y`
64.0%	3	`z`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes11.0ms (0.1%)

Memory

-3.5MiB live, 34.6MiB 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

7 calls:

3.0ms	(.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)
1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
36.8%	1	`(-.f64 #s(literal 1 binary64) y)`
36.8%	1	`x`
36.8%	1	`y`
36.8%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
36.8%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
36.8%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
36.8%	1	`z`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

bsearch3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	3.322510031953631e-99	2.131768295224674e-96

Samples

2.0ms

32×

valid

Compiler

Compiled 44 to 46 computations (-4.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

exact: 0.0ms (0% of total)

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

bsearch36.0ms (0.5%)

Memory

-4.7MiB live, 33.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
31.0ms	1.4013733022049226e-11	0.012455359571324693
3.0ms	-2.5718728255458188e-31	-7.417630941172406e-43

Samples

27.0ms

176×

valid

Compiler

Compiled 177 to 179 computations (-1.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sub: 21.0ms (90.6% of total)

ival-mult: 2.0ms (8.6% 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

2.5MiB live, 2.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.0149154394794248e+307	+inf
0.0ms	5637.635189918996	15247.148100267015
0.0ms	-68097730190513496.0	-45689.542993951145
0.0ms	-inf	-1.2889910017578392e+295

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000004824352466	154.54328491393068
0.0ms	-0.061305926925520726	0.9999555435381798

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.883390237748687e+38	4.3448258849020727e+39
0.0ms	-3.063974950261878e+37	-1.5461132675634066e+31

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.883390237748687e+38	4.3448258849020727e+39
0.0ms	-3.063974950261878e+37	-1.5461132675634066e+31

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch43.0ms (0.5%)

Memory

-16.3MiB live, 61.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.4013733022049226e-11	0.012455359571324693
23.0ms	-2.537934217980124e-8	-1.8984363556087923e-12

Samples

31.0ms

256×

valid

Compiler

Compiled 182 to 269 computations (-47.8% saved)

Precisions

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

ival-sub: 3.0ms (47.3% of total)

ival-mult: 3.0ms (47.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify101.0ms (1.3%)

Memory

34.0MiB live, 71.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	335
1	128	335
2	180	335
3	302	335
4	739	335
5	1368	335
6	2723	335
7	5930	335

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x) (fma.f64 (.f64 z (-.f64 y #s(literal 1 binary64))) x x))
(if (<=.f64 z #s(literal -35681192317649/178405961588244985132285746181186892047843328 binary64)) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x) (if (<=.f64 z #s(literal 1098671784865775/77371252455336267181195264 binary64)) (fma.f64 #s(approx ( z (- y 1)) (.f64 y z)) x x) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -inf.0 binary64)) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -50000000000000000 binary64)) (.f64 x #s(approx (- 1 (* (- 1 y) z)) (.f64 (-.f64 y #s(literal 1 binary64)) z))) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 10000 binary64)) (fma.f64 #s(approx (* z (- y 1)) (.f64 y z)) x x) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 39999999999999999441242390410258310868010567352505455500998642943534263410690975396259385656915842667145517121570618461573412691401008413345103809482461588042922766658757500714276159404292585358566493064284506880044080678213216074385831250754247788804685953844691687288556267719405128488010706671000084283392 binary64)) (.f64 x #s(approx (- 1 ( (- 1 y) z)) (.f64 (-.f64 y #s(literal 1 binary64)) z))) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 (.f64 y x) z))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* z (- y 1)) (.f64 y z)) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -19999999999999999077525316404242284544 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 y x) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 499999999999999969854583185801589293056 binary64)) (.f64 x #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 y x) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -19999999999999999077525316404242284544 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 499999999999999969854583185801589293056 binary64)) (.f64 x #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))))
(.f64 x #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 z #s(literal -944473296573929/37778931862957161709568 binary64)) (.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) (if (<=.f64 z #s(literal 7032821178101767/576460752303423488 binary64)) (.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z))))))
(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 x #s(literal 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x) (fma.f64 (.f64 z (-.f64 y #s(literal 1 binary64))) x x))
(if (<=.f64 x #s(literal 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 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 -35681192317649/178405961588244985132285746181186892047843328 binary64)) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x) (if (<=.f64 z #s(literal 1098671784865775/77371252455336267181195264 binary64)) (fma.f64 #s(approx ( z (- y 1)) (.f64 y z)) x x) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x)))
(if (or (<=.f64 z #s(literal -35681192317649/178405961588244985132285746181186892047843328 binary64)) (not (<=.f64 z #s(literal 1098671784865775/77371252455336267181195264 binary64)))) (fma.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z x) (fma.f64 #s(approx ( (- y 1) z) (*.f64 z y)) x x))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -inf.0 binary64)) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -50000000000000000 binary64)) (.f64 x #s(approx (- 1 (* (- 1 y) z)) (.f64 (-.f64 y #s(literal 1 binary64)) z))) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 10000 binary64)) (fma.f64 #s(approx (* z (- y 1)) (.f64 y z)) x x) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 39999999999999999441242390410258310868010567352505455500998642943534263410690975396259385656915842667145517121570618461573412691401008413345103809482461588042922766658757500714276159404292585358566493064284506880044080678213216074385831250754247788804685953844691687288556267719405128488010706671000084283392 binary64)) (.f64 x #s(approx (- 1 ( (- 1 y) z)) (.f64 (-.f64 y #s(literal 1 binary64)) z))) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 (.f64 y x) z))))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -inf.0 binary64)) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 (.f64 z x) y)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -50000000000000000 binary64)) (.f64 #s(approx (- 1 (* (- 1 y) z)) (.f64 z (-.f64 y #s(literal 1 binary64)))) x) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 10000 binary64)) (fma.f64 #s(approx (* (- y 1) z) (.f64 z y)) x x) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 39999999999999999441242390410258310868010567352505455500998642943534263410690975396259385656915842667145517121570618461573412691401008413345103809482461588042922766658757500714276159404292585358566493064284506880044080678213216074385831250754247788804685953844691687288556267719405128488010706671000084283392 binary64)) (.f64 #s(approx (- 1 ( (- 1 y) z)) (.f64 z (-.f64 y #s(literal 1 binary64)))) x) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 (.f64 y x) z))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (* z (- y 1)) (.f64 y z)) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) x x)))
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3602879701896397/72057594037927936 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (fma.f64 #s(approx (* (- y 1) z) (.f64 z y)) x x) (.f64 #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -19999999999999999077525316404242284544 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 y x) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 499999999999999969854583185801589293056 binary64)) (.f64 x #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 y x) z))))
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -19999999999999999077525316404242284544 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 499999999999999969854583185801589293056 binary64)))) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 y x) z)) (.f64 #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -19999999999999999077525316404242284544 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 499999999999999969854583185801589293056 binary64)) (.f64 x #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))))
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -19999999999999999077525316404242284544 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 499999999999999969854583185801589293056 binary64)))) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 z x) y)) (.f64 #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) 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 z #s(literal -944473296573929/37778931862957161709568 binary64)) (.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z)))) (if (<=.f64 z #s(literal 7032821178101767/576460752303423488 binary64)) (.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z))))))
(if (or (<=.f64 z #s(literal -944473296573929/37778931862957161709568 binary64)) (not (<=.f64 z #s(literal 7032821178101767/576460752303423488 binary64)))) (.f64 #s(approx (- 1 ( (- 1 y) z)) #s(approx (* (- y 1) z) (neg.f64 z))) x) (.f64 #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)) 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)

soundness2.0s (24.8%)

Memory

-13.2MiB live, 541.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	592
1	234	592
2	639	592
3	1493	592
4	4439	592
5	6743	592
6	7941	592
0	8207	544
0	126	2660
1	404	2645
2	1179	2643
3	2973	2643
4	7144	2643
0	8361	2437
0	8	24
0	12	24
1	46	24
2	332	24
3	3557	24
0	9466	22
0	101	2579
1	327	2574
2	966	2574
3	2153	2574
4	5705	2574
0	8084	2370
0	25	125
0	39	122
1	136	118
2	961	117
0	9181	112

Stop Event

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

Compiler

Compiled 338 to 201 computations (40.5% saved)

preprocess189.0ms (2.4%)

Memory: -21.0MiB live, 303.5MiB allocated
Remove: (negabs x)
Compiler: Compiled 704 to 314 computations (55.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample823.0ms (10.4%)

explain187.0ms (2.4%)

preprocess271.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify73.0ms (0.9%)

localize38.0ms (0.5%)

series9.0ms (0.1%)

simplify221.0ms (2.8%)

rewrite325.0ms (4.1%)

eval101.0ms (1.3%)

prune36.0ms (0.5%)

simplify81.0ms (1%)

localize65.0ms (0.8%)

series33.0ms (0.4%)

simplify162.0ms (2.1%)

rewrite162.0ms (2.1%)

eval324.0ms (4.1%)

prune133.0ms (1.7%)

simplify92.0ms (1.2%)

localize93.0ms (1.2%)

series70.0ms (0.9%)

simplify155.0ms (2%)

rewrite292.0ms (3.7%)

eval274.0ms (3.5%)

prune49.0ms (0.6%)

simplify143.0ms (1.8%)

localize74.0ms (0.9%)

series29.0ms (0.4%)

simplify191.0ms (2.4%)

rewrite326.0ms (4.1%)

eval260.0ms (3.3%)

prune32.0ms (0.4%)

regimes50.0ms (0.6%)

regimes77.0ms (1%)

regimes33.0ms (0.4%)

regimes19.0ms (0.2%)

regimes206.0ms (2.6%)

regimes5.0ms (0.1%)

regimes21.0ms (0.3%)

regimes16.0ms (0.2%)

regimes11.0ms (0.1%)

bsearch3.0ms (0%)

bsearch36.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch43.0ms (0.5%)

simplify101.0ms (1.3%)

soundness2.0s (24.8%)

preprocess189.0ms (2.4%)

end0.0ms (0%)

Profiling