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

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (15.5%)

Memory

-29.9MiB live, 1 065.9MiB allocated

Samples

803.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 487.0ms

ival-mult: 305.0ms (62.6% of total)

ival-sub: 168.0ms (34.5% of total)

ival-true: 7.0ms (1.4% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain294.0ms (3.7%)

Memory

14.1MiB live, 127.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
9	-	-	`(.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**	9	0

Confusion

	Predicted +	Predicted -
+	9	0
-	0	247

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	9	0	0
-	0	0	247

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	247
1	9

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

156.0ms

512×

valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-sub: 100.0ms (92.8% of total)

ival-mult: 7.0ms (6.5% 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

13.7MiB live, 96.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 608×	`unsub-neg`
1 232×	`lower-fma.f64`
1 232×	`lower-fma.f32`
788×	`distribute-lft-in`
690×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify42.0ms (0.5%)

Memory

-0.8MiB live, 35.2MiB 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))

Rules

1 232×	`lower-fma.f64`
1 232×	`lower-fma.f32`
496×	`lower-*.f32`
492×	`lower-*.f64`
440×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize128.0ms (1.6%)

Memory

10.7MiB live, 46.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy	2.177336673595871	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Samples

16.0ms

256×

valid

Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions

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

ival-sub: 5.0ms (61.1% of total)

ival-mult: 3.0ms (36.7% of total)

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

exact: 0.0ms (0% of total)

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

series57.0ms (0.7%)

Memory

-37.3MiB live, 16.2MiB 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
48.0ms	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))

simplify155.0ms (2%)

Memory

41.1MiB live, 154.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 100×	`lower-fma.f64`
7 100×	`lower-fma.f32`
2 674×	`lower-*.f64`
2 674×	`lower-*.f32`
1 232×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite177.0ms (2.3%)

Memory

2.5MiB live, 315.9MiB allocated

Rules

4 326×	`lower-fma.f64`
4 326×	`lower-fma.f32`
3 522×	`lower-/.f64`
3 522×	`lower-/.f32`
3 346×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 445

Calls

Call 1

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

Outputs
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eval105.0ms (1.3%)

Memory: -9.7MiB live, 204.8MiB allocated
Compiler: Compiled 11 616 to 1 743 computations (85% saved)

prune42.0ms (0.5%)

Memory

-33.0MiB live, 45.9MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	528	11	539
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	529	11	540

Accuracy

100.0%

Counts

540 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
▶	96.2%	(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x)
	29.8%	(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z) #s(literal 2 binary64)) (.f64 x (.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)))))
	96.5%	(/.f64 x (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64)))
	96.6%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))))
	65.6%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
	54.6%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
	35.7%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (*.f64 y z)))
▶	43.5%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
▶	56.1%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z))
▶	38.5%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))

Compiler

Compiled 222 to 182 computations (18% saved)

simplify71.0ms (0.9%)

Memory

16.1MiB live, 54.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

1 280×	`lower-fma.f32`
1 276×	`lower-fma.f64`
544×	`lower-*.f32`
532×	`lower-*.f64`
312×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	122
0	30	122
1	58	122
2	106	120
3	208	120
4	455	120
5	817	120
6	1247	120
7	1508	120
8	1562	120
9	1594	120
10	1598	120
11	1600	120
12	1603	120
13	1605	120
0	1605	118

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

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

localize72.0ms (0.9%)

Memory

16.3MiB live, 89.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy	2.4487723950513507	(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x)
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy	2.4297606180861826	(.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z)
accuracy	26.881615952559493	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z))
accuracy	0	(*.f64 x z)
accuracy	4.97168243505189	(.f64 (.f64 x z) y)
accuracy	38.98144080172708	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))
accuracy	2.177336673595871	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
accuracy	36.32561453923895	#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 z x)
accuracy	1.5967491151179496	(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)

Samples

40.0ms

256×

valid

Compiler

Compiled 108 to 19 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 14.0ms (66.4% of total)

ival-sub: 4.0ms (19% of total)

ival-add: 3.0ms (14.2% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.5%)

Memory

7.3MiB live, 43.2MiB allocated

Counts

12 → 360

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	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))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (* x (- y 1)) z) x))
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))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (* x (- y 1)) z) x))
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))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (* x (- y 1)) z) x))
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))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (* x (- y 1)) z) x))
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))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (* x (- y 1)) z) x))

simplify148.0ms (1.9%)

Memory

-14.6MiB live, 143.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 266×	`lower-fma.f64`
11 266×	`lower-fma.f32`
3 292×	`lower-*.f64`
3 292×	`lower-*.f32`
2 324×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	2384
1	332	2358
2	975	2358
3	2039	2358
4	5300	2358
0	8182	2190

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 353

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

rewrite180.0ms (2.3%)

Memory

-13.9MiB live, 279.6MiB allocated

Rules

8 046×	`lower-fma.f32`
8 042×	`lower-fma.f64`
4 758×	`lower-*.f32`
4 746×	`lower-*.f64`
2 938×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	94
0	30	94
1	111	94
2	801	92
0	8353	90

Stop Event

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

Counts

12 → 497

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

Outputs
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eval192.0ms (2.4%)

Memory: 4.6MiB live, 308.4MiB allocated
Compiler: Compiled 19 944 to 1 524 computations (92.4% saved)

prune127.0ms (1.6%)

Memory

12.8MiB live, 91.7MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 127	8	1 135
Fresh	5	1	6
Picked	1	4	5
Done	0	0	0
Total	1 133	13	1 146

Accuracy

100.0%

Counts

1 146 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.5%	(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
	51.3%	(fma.f64 (.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) z) (/.f64 z (-.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
▶	76.3%	(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x)
	65.6%	(fma.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z x)
▶	96.5%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
	35.7%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (*.f64 y z)))
✓	43.5%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
▶	37.2%	#s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z))
▶	55.9%	#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
	56.0%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (-.f64 y #s(literal 1 binary64)) (.f64 x z)))
✓	56.1%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z))
✓	38.5%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))
▶	24.9%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z))

Compiler

Compiled 214 to 171 computations (20.1% saved)

simplify97.0ms (1.2%)

Memory

2.1MiB live, 45.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 424×	`lower-fma.f32`
1 420×	`lower-fma.f64`
640×	`lower-*.f32`
632×	`lower-*.f64`
456×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	169
0	45	169
1	81	162
2	149	160
3	312	160
4	641	160
5	1105	160
6	1704	160
7	2140	160
8	2267	160
9	2283	160
10	2288	160
11	2295	160
12	2296	160
0	2296	160

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize127.0ms (1.6%)

Memory

5.3MiB live, 80.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x z)
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
accuracy	3.0423989972088235	(/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
accuracy	26.881615952559493	#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
accuracy	0	(*.f64 y x)
accuracy	2.4487723950513507	(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x)
accuracy	32.03398326055158	#s(approx (* x (- y 1)) (*.f64 y x))
accuracy	0	(*.f64 y x)
accuracy	4.572475294677203	(.f64 (.f64 y x) z)
accuracy	38.98144080172708	#s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z))
accuracy	0	(neg.f64 x)
accuracy	2.4297606180861826	(.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)
accuracy	26.881615952559493	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z))
accuracy	30.800462915345655	#s(approx (* x (- y 1)) (neg.f64 x))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0.0078125	(fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.2833030450893291	(/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	2.106569060060512	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))

Samples

59.0ms

256×

valid

Compiler

Compiled 134 to 27 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 18.0ms (53.7% of total)

ival-div: 6.0ms (17.9% of total)

ival-sub: 4.0ms (11.9% of total)

ival-add: 3.0ms (8.9% of total)

ival-neg: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series73.0ms (0.9%)

Memory

4.3MiB live, 42.3MiB allocated

Counts

17 → 468

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 z) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #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) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #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) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #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) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- 1 y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (+ 1 (* -1 (* z (* (- 1 y) (- y 1))))) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- (+ 1 (* z (- (* z (* (- 1 y) (pow (- y 1) 2))) (* (- 1 y) (- y 1))))) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) (patch (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) (patch (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) (patch (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) (patch (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y x) z) (patch (.f64 (.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y x) z) (patch (.f64 (.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y x) z) (patch (.f64 (.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 y x) z) (patch (.f64 (.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 #s(approx (* x (- y 1)) (.f64 y x)) z x) (patch (fma.f64 #s(approx ( x (- y 1)) (*.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* x (- y 1)) (.f64 y x)) z x) (patch (fma.f64 #s(approx ( x (- y 1)) (*.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* x (- y 1)) (.f64 y x)) z x) (patch (fma.f64 #s(approx ( x (- y 1)) (*.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* x (- y 1)) (.f64 y x)) z x) (patch (fma.f64 #s(approx ( x (- y 1)) (*.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx ( x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx ( x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx ( x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx ( x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 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 (* z (- y 1))) (taylor inf z) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* z (- y 1))) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (- y 1)) (/ 1 (* z (pow (- y 1) 2)))) z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* (pow z 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1 (* z (pow (- y 1) 2)))) z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 (* (pow z 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (+ (/ 1 (* z (pow (- y 1) 2))) (/ 1 (* (pow z 3) (pow (- y 1) 4))))) z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 z (-.f64 y #s(literal 1 binary64)) #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 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) (patch (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) (patch (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) (patch (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) (patch (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf z) (#s(alt (.f64 (.f64 y x) z) (patch (.f64 (.f64 y x) z) #<representation binary64>) () ())) ())
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#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx ( x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx ( x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx ( x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) (patch (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) (patch (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) (patch (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) (patch (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (* x (- y 1)) (neg.f64 x)) (patch #s(approx (* x (- y 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (* x (- y 1)) (neg.f64 x)) (patch #s(approx (* x (- y 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (* x (- y 1)) (neg.f64 x)) (patch #s(approx (* x (- y 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (* x (- y 1)) (neg.f64 x)) (patch #s(approx (* x (- y 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) z) (patch (.f64 (.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) z) (patch (.f64 (.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) z) (patch (.f64 (.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 y x) z) (patch (.f64 (.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* x (- y 1)) (.f64 y x)) z x) (patch (fma.f64 #s(approx ( x (- y 1)) (*.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* x (- y 1)) (.f64 y x)) z x) (patch (fma.f64 #s(approx ( x (- y 1)) (*.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* x (- y 1)) (.f64 y x)) z x) (patch (fma.f64 #s(approx ( x (- y 1)) (*.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* x (- y 1)) (.f64 y x)) z x) (patch (fma.f64 #s(approx ( x (- y 1)) (*.f64 y x)) z x) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (* x (- y 1)) (.f64 y x)) (patch #s(approx ( x (- y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (* x (- y 1)) (.f64 y x)) (patch #s(approx ( x (- y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (* x (- y 1)) (.f64 y x)) (patch #s(approx ( x (- y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt #s(approx (* x (- y 1)) (.f64 y x)) (patch #s(approx ( x (- y 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx ( x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx ( x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx ( x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx ( x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
43.0ms	x	@	inf	((/ x (/ 1 (+ (* z (- y 1)) 1))) (/ 1 (+ (* z (- y 1)) 1)) (+ (* z (- y 1)) 1) (- y 1) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (+ (* (- y 1) (* z x)) x) (* (* y x) z) (* y x) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)))
4.0ms	z	@	0	((/ x (/ 1 (+ (* z (- y 1)) 1))) (/ 1 (+ (* z (- y 1)) 1)) (+ (* z (- y 1)) 1) (- y 1) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (+ (* (- y 1) (* z x)) x) (* (* y x) z) (* y x) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)))
3.0ms	x	@	-inf	((/ x (/ 1 (+ (* z (- y 1)) 1))) (/ 1 (+ (* z (- y 1)) 1)) (+ (* z (- y 1)) 1) (- y 1) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (+ (* (- y 1) (* z x)) x) (* (* y x) z) (* y x) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)))
2.0ms	y	@	-inf	((/ x (/ 1 (+ (* z (- y 1)) 1))) (/ 1 (+ (* z (- y 1)) 1)) (+ (* z (- y 1)) 1) (- y 1) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (+ (* (- y 1) (* z x)) x) (* (* y x) z) (* y x) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)))
2.0ms	y	@	inf	((/ x (/ 1 (+ (* z (- y 1)) 1))) (/ 1 (+ (* z (- y 1)) 1)) (+ (* z (- y 1)) 1) (- y 1) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (+ (* (- y 1) (* z x)) x) (* (* y x) z) (* y x) (+ (* (* x (- y 1)) z) x) (* x (- y 1)) (/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)))

simplify266.0ms (3.4%)

Memory

-20.3MiB live, 148.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 900×	`lower-fma.f64`
11 900×	`lower-fma.f32`
4 882×	`lower-*.f64`
4 882×	`lower-*.f32`
2 788×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	277	3475
1	871	3413
2	2625	3375
0	8265	3192

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 461

Calls

Call 1

Inputs
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
1
(+ 1 (* z (- 1 y)))
(+ 1 (* z (- (+ 1 (* -1 (* z (* (- 1 y) (- y 1))))) y)))
(+ 1 (* z (- (+ 1 (* z (- (* z (* (- 1 y) (pow (- y 1) 2))) (* (- 1 y) (- y 1))))) y)))
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(/ 1 (* z (- y 1)))
(/ (- (/ 1 (- y 1)) (/ 1 (* z (pow (- y 1) 2)))) z)
(/ (- (+ (/ 1 (* (pow z 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1 (* z (pow (- y 1) 2)))) z)
(/ (- (+ (/ 1 (* (pow z 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (+ (/ 1 (* z (pow (- y 1) 2))) (/ 1 (* (pow z 3) (pow (- y 1) 4))))) z)
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(/ 1 (* z (- y 1)))
(* -1 (/ (- (/ 1 (* z (pow (- y 1) 2))) (/ 1 (- y 1))) z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (- y 1) 3))) (/ 1 (pow (- y 1) 2))) z)) (/ 1 (- y 1))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (- y 1) 4))) (/ 1 (pow (- y 1) 3))) z)) (/ 1 (pow (- y 1) 2))) z)) (/ 1 (- y 1))) z))
(* z (- y 1))
(* -1 (* z (- (* -1 (- y 1)) (/ 1 z))))
(* -1 (* z (- (* -1 (- y 1)) (/ 1 z))))
(* -1 (* z (- (* -1 (- y 1)) (/ 1 z))))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (+ 1 (* -1 z)))
(+ (* x (* y z)) (* x (+ 1 (* -1 z))))
(+ (* x (* y z)) (* x (+ 1 (* -1 z))))
(+ (* x (* y z)) (* x (+ 1 (* -1 z))))
(/ 1 (+ 1 (* -1 z)))
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Outputs
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rewrite244.0ms (3.1%)

Memory

21.1MiB live, 225.1MiB allocated

Rules

6 850×	`lower-fma.f32`
6 846×	`lower-fma.f64`
3 604×	`lower-*.f32`
3 596×	`lower-*.f64`
3 200×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	147
0	45	147
1	169	138
2	1161	138
0	8876	138

Stop Event

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

Counts

17 → 759

Calls

Call 1

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

Outputs
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eval312.0ms (4%)

Memory: 13.1MiB live, 360.2MiB allocated
Compiler: Compiled 21 258 to 2 801 computations (86.8% saved)

prune41.0ms (0.5%)

Memory

-27.0MiB live, 131.2MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1 343	3	1 346
Fresh	1	3	4
Picked	2	3	5
Done	0	4	4
Total	1 346	13	1 359

Accuracy

100.0%

Counts

1 359 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.5%	(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
	51.3%	(fma.f64 (.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) z) (/.f64 z (-.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
✓	76.3%	(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x)
▶	65.6%	(fma.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z x)
▶	35.6%	(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (- y 1)) 1) (*.f64 y z))))
▶	35.7%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (*.f64 y z)))
✓	43.5%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
✓	37.2%	#s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z))
▶	38.5%	#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y))))
▶	56.0%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (-.f64 y #s(literal 1 binary64)) (.f64 z x)))
✓	56.1%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z))
✓	38.5%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))
✓	24.9%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z))

Compiler

Compiled 189 to 152 computations (19.6% saved)

simplify102.0ms (1.3%)

Memory

31.8MiB live, 102.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

1 600×	`lower-fma.f32`
1 598×	`lower-fma.f64`
816×	`lower-*.f32`
806×	`lower-*.f64`
430×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	188
0	44	186
1	76	186
2	130	186
3	272	186
4	613	186
5	1115	186
6	1747	186
7	2299	186
8	2523	186
9	2662	186
10	2681	186
11	2695	186
12	2704	186
13	2706	186
0	2706	179

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize79.0ms (1%)

Memory

1.4MiB live, 204.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y z)
accuracy	0.2833030450893291	(/.f64 #s(literal 1 binary64) #s(approx (+ (* z (- y 1)) 1) (*.f64 y z)))
accuracy	2.106569060060512	(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (- y 1)) 1) (*.f64 y z))))
accuracy	39.91687258128533	#s(approx (+ (* z (- y 1)) 1) (*.f64 y z))
accuracy	0	(*.f64 x z)
accuracy	3.0423989972088235	(/.f64 (*.f64 x z) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y)))
accuracy	26.881615952559493	#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y))))
accuracy	32.37037971771452	#s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 z x)
accuracy	3.0072427472088235	(.f64 (-.f64 y #s(literal 1 binary64)) (.f64 z x))
accuracy	26.881615952559493	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (-.f64 y #s(literal 1 binary64)) (.f64 z x)))
accuracy	0	(*.f64 y z)
accuracy	2.177336673595871	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (*.f64 y z)))
accuracy	39.91687258128533	#s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))
accuracy	0	(neg.f64 x)
accuracy	2.4487723950513507	(fma.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z x)
accuracy	30.800462915345655	#s(approx (* x (- y 1)) (neg.f64 x))

Samples

63.0ms

256×

valid

Compiler

Compiled 135 to 26 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 22.0ms (48.1% of total)

ival-sub: 12.0ms (26.3% of total)

ival-div: 8.0ms (17.5% of total)

ival-add: 2.0ms (4.4% of total)

ival-neg: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.3%)

Memory

-9.7MiB live, 66.2MiB allocated

Counts

17 → 456

Calls

Call 1

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

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

Calls

9 calls:

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

simplify225.0ms (2.9%)

Memory

-26.0MiB live, 271.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 978×	`lower-fma.f64`
11 978×	`lower-fma.f32`
4 898×	`lower-*.f64`
4 898×	`lower-*.f32`
2 802×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	3384
1	917	3338
2	2680	3300
0	8277	3099

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 449

Calls

Call 1

Inputs
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x z)
(* x z)
(* x z)
(* x z)
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* 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 (- 1 y)))
(+ 1 (* z (- (+ 1 (* -1 (* z (* (- 1 y) (- y 1))))) y)))
(+ 1 (* z (- (+ 1 (* z (- (* z (* (- 1 y) (pow (- y 1) 2))) (* (- 1 y) (- y 1))))) y)))
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(/ 1 (* z (- y 1)))
(/ (- (/ 1 (- y 1)) (/ 1 (* z (pow (- y 1) 2)))) z)
(/ (- (+ (/ 1 (* (pow z 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1 (* z (pow (- y 1) 2)))) z)
(/ (- (+ (/ 1 (* (pow z 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (+ (/ 1 (* z (pow (- y 1) 2))) (/ 1 (* (pow z 3) (pow (- y 1) 4))))) z)
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(/ 1 (* z (- y 1)))
(* -1 (/ (- (/ 1 (* z (pow (- y 1) 2))) (/ 1 (- y 1))) z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (- y 1) 3))) (/ 1 (pow (- y 1) 2))) z)) (/ 1 (- y 1))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (- y 1) 4))) (/ 1 (pow (- y 1) 3))) z)) (/ 1 (pow (- y 1) 2))) z)) (/ 1 (- y 1))) z))
(* z (- y 1))
(* -1 (* z (- (* -1 (- y 1)) (/ 1 z))))
(* -1 (* z (- (* -1 (- y 1)) (/ 1 z))))
(* -1 (* z (- (* -1 (- y 1)) (/ 1 z))))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* y z)
(* y z)
(* y z)
(* y z)
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
-1
(- y 1)
(- y 1)
(- y 1)
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
-1
(- (* -1 y) 1)
(- (* y (- (* -1 y) 1)) 1)
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1)
(* x (+ 1 (* -1 z)))
(+ (* x (* y z)) (* x (+ 1 (* -1 z))))
(+ (* x (* y z)) (* x (+ 1 (* -1 z))))
(+ (* x (* y z)) (* x (+ 1 (* -1 z))))
(/ 1 (+ 1 (* -1 z)))
(+ (* -1 (/ (* y z) (pow (+ 1 (* -1 z)) 2))) (/ 1 (+ 1 (* -1 z))))
(+ (* y (- (/ (* y (pow z 2)) (pow (+ 1 (* -1 z)) 3)) (/ z (pow (+ 1 (* -1 z)) 2)))) (/ 1 (+ 1 (* -1 z))))
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow (+ 1 (* -1 z)) 4))) (* -1 (/ (pow z 2) (pow (+ 1 (* -1 z)) 3))))) (/ z (pow (+ 1 (* -1 z)) 2)))) (/ 1 (+ 1 (* -1 z))))
(+ 1 (* -1 z))
(+ 1 (+ (* -1 z) (* y z)))
(+ 1 (+ (* -1 z) (* y z)))
(+ 1 (+ (* -1 z) (* y z)))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
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Outputs
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(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
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(* y z)
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(*.f64 (-.f64 y #s(literal 1 binary64)) x)
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(* -1 x)
(neg.f64 x)
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(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (* z (- y 1)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
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(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
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(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
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(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (* z (- y 1)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x z)
(*.f64 z x)
(* x z)
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(* x z)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
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(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
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(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (* z (- y 1)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x (* z (- y 1)))
(.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x (+ 1 (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (+ 1 (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (+ 1 (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (+ 1 (* z (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)

rewrite147.0ms (1.9%)

Memory

26.2MiB live, 221.1MiB allocated

Rules

7 742×	`lower-fma.f32`
7 740×	`lower-fma.f64`
4 846×	`lower-*.f32`
4 836×	`lower-*.f64`
3 994×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	165
0	44	163
1	159	163
2	989	163
0	9044	156

Stop Event

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

Counts

17 → 527

Calls

Call 1

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

Outputs
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eval172.0ms (2.2%)

Memory: -15.5MiB live, 229.0MiB allocated
Compiler: Compiled 13 348 to 1 803 computations (86.5% saved)

prune37.0ms (0.5%)

Memory

15.2MiB live, 92.0MiB allocated

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	1 007	0	1 007
Fresh	0	1	1
Picked	0	5	5
Done	0	7	7
Total	1 007	13	1 020

Accuracy

100.0%

Counts

1 020 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.5%	(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
	51.3%	(fma.f64 (.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) z) (/.f64 z (-.f64 (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (.f64 x (/.f64 x (-.f64 (.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
✓	76.3%	(fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x)
✓	65.6%	(fma.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z x)
✓	35.6%	(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (- y 1)) 1) (*.f64 y z))))
✓	35.7%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) (*.f64 y z)))
✓	43.5%	(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
✓	37.2%	#s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z))
✓	38.5%	#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y))))
✓	56.0%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (-.f64 y #s(literal 1 binary64)) (.f64 z x)))
✓	56.1%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z))
✓	38.5%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y))
✓	24.9%	#s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z))

Compiler

Compiled 350 to 181 computations (48.3% saved)

regimes54.0ms (0.7%)

Memory

-26.9MiB live, 97.8MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

7 calls:

9.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
8.0ms	x
8.0ms	(-.f64 #s(literal 1 binary64) y)
7.0ms	z
7.0ms	y

Results

Accuracy	Segments	Branch
99.9%	2	`x`
97.5%	1	`y`
99.2%	2	`z`
97.5%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
97.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
97.5%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
97.5%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes5.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`x`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes47.0ms (0.6%)

Memory

13.8MiB live, 52.3MiB allocated

Counts

13 → 1

Calls

Call 1

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
96.2%	1	`y`
96.2%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
96.2%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
96.2%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
96.2%	1	`(-.f64 #s(literal 1 binary64) y)`
96.2%	1	`z`
96.2%	1	`x`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes73.0ms (0.9%)

Memory

-31.9MiB live, 47.9MiB allocated

Counts

12 → 3

Calls

Call 1

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

Calls

7 calls:

27.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
25.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
4.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
92.3%	4	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
80.8%	3	`x`
94.8%	3	`y`
95.0%	3	`z`
96.8%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
96.8%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
94.8%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes7.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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))

Results

Accuracy	Segments	Branch
96.5%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
96.5%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes13.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	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))

Results

Accuracy	Segments	Branch
94.8%	3	`y`
79.9%	3	`z`
82.4%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
82.4%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`

Compiler

Compiled 14 to 19 computations (-35.7% saved)

regimes29.0ms (0.4%)

Memory

-22.0MiB live, 14.9MiB allocated

Counts

7 → 3

Calls

Call 1

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

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 (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z))

Calls

3 calls:

22.0ms	(-.f64 #s(literal 1 binary64) y)
3.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
3.0ms	y

Results

Accuracy	Segments	Branch
79.7%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
88.3%	3	`(-.f64 #s(literal 1 binary64) y)`
88.3%	3	`y`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes5.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

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

Results

Accuracy	Segments	Branch
87.5%	3	`y`
87.5%	3	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 4 to 8 computations (-100% saved)

regimes24.0ms (0.3%)

Memory

-5.0MiB live, 33.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

12.0ms	z
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)))
2.0ms	x

Results

Accuracy	Segments	Branch
65.6%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
65.6%	1	`z`
65.6%	1	`x`
65.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
65.6%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
65.6%	1	`(-.f64 #s(literal 1 binary64) y)`
65.6%	1	`y`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes11.0ms (0.1%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

2.0ms	z
1.0ms	x
1.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1.0ms	y
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
64.6%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
56.6%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
64.6%	3	`z`
64.6%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
43.5%	1	`(-.f64 #s(literal 1 binary64) y)`
43.5%	1	`x`
43.5%	1	`y`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes24.0ms (0.3%)

Memory

-19.6MiB live, 18.6MiB 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

5 calls:

19.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1.0ms	z
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
1.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))

Results

Accuracy	Segments	Branch
43.5%	1	`x`
43.5%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
43.5%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
43.5%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
43.5%	1	`z`

Compiler

Compiled 23 to 27 computations (-17.4% saved)

bsearch7.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
6.0ms	4.376338959206667e-169	3.797052276724003e-165

Samples

3.0ms

64×

valid

Compiler

Compiled 80 to 82 computations (-2.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (61.9% of total)

ival-mult: 1.0ms (61.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	7.365652341515222e-46	6.117846493805416e-45

Samples

1.0ms

16×

valid

Compiler

Compiled 28 to 30 computations (-7.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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)

bsearch1.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7820.9651958242675	1.1447536650727976e+20
0.0ms	-18866015.37557631	-260.60780912087756

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7820.9651958242675	1.1447536650727976e+20
0.0ms	-18866015.37557631	-260.60780912087756

Compiler

Compiled 12 to 15 computations (-25% saved)

bsearch37.0ms (0.5%)

Memory

-9.7MiB live, 35.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.1254477055715591	0.5112121209599322
26.0ms	-28540391588.94693	-0.002944840109449972

Samples

25.0ms

256×

valid

Compiler

Compiled 220 to 254 computations (-15.5% saved)

Precisions

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

ival-sub: 3.0ms (47.7% of total)

ival-mult: 3.0ms (47.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch75.0ms (1%)

Memory

-5.8MiB live, 30.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
60.0ms	0.5112121209599322	1.6379813887739312
12.0ms	-7.2916542674903694e+78	-7.464451911974522e+70

Samples

11.0ms

224×

valid

Compiler

Compiled 180 to 224 computations (-24.4% saved)

Precisions

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

ival-mult: 3.0ms (54.1% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.5112121209599322	1.6379813887739312
1.0ms	-7.2916542674903694e+78	-7.464451911974522e+70

Compiler

Compiled 180 to 224 computations (-24.4% saved)

bsearch64.0ms (0.8%)

Memory

0.7MiB live, 36.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
51.0ms	9.347004324294533e-8	9.36239567296979e-5
11.0ms	-260.60780912087756	-0.026472605819413287

Samples

53.0ms

256×

valid

Compiler

Compiled 172 to 254 computations (-47.7% saved)

Precisions

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

ival-sub: 3.0ms (47.4% of total)

ival-mult: 3.0ms (47.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify81.0ms (1%)

Memory

-8.8MiB live, 69.7MiB allocated

Algorithm

1×	egg-herbie

Rules

250×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
158×	`unsub-neg-binary64--.f64-neg.f64-+.f64`
146×	`neg-mul-1-binary64-*.f64-neg.f64`
102×	`neg-sub0-binary64--.f64-neg.f64`
94×	`distribute-rgt-neg-in-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	405
1	104	405
2	126	405
3	149	405
4	185	405
5	241	405
6	294	405
7	363	405
8	452	405
9	540	405
10	624	405
11	691	405
12	738	405
13	764	405
14	772	405
15	773	405

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 4149515568880993/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(if (<=.f64 x #s(literal 6427752177035961/6427752177035961102167848369364650410088811975131171341205504 binary64)) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x) (fma.f64 (-.f64 y #s(literal 1 binary64)) (.f64 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 -10000000 binary64)) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 10000 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 #s(literal 1 binary64)) (.f64 x z)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -10000000 binary64)) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 10000 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 (-.f64 y #s(literal 1 binary64))) z))))
(if (<=.f64 y #s(literal -1 binary64)) (fma.f64 #s(approx (* x (- y 1)) (.f64 y x)) z x) (if (<=.f64 y #s(literal 1/2 binary64)) (.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x)))
(if (<=.f64 y #s(literal -5400000000000000128080523431324986043619533142238038977375205824007241728 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) (.f64 x #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z))))
(if (<=.f64 y #s(literal -5400000000000000128080523431324986043619533142238038977375205824007241728 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 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 -1 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (if (<=.f64 z #s(literal 6788401819125115/73786976294838206464 binary64)) (.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z))))
(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 x #s(literal 4149515568880993/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(if (<=.f64 x #s(literal 4149515568880993/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) (fma.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z x) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x))
(if (<=.f64 x #s(literal 6427752177035961/6427752177035961102167848369364650410088811975131171341205504 binary64)) (fma.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z x) (fma.f64 (-.f64 y #s(literal 1 binary64)) (.f64 z x) x))
(if (<=.f64 x #s(literal 6427752177035961/6427752177035961102167848369364650410088811975131171341205504 binary64)) (fma.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) z x) (fma.f64 (-.f64 y #s(literal 1 binary64)) (.f64 z x) x))
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x)
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z x)
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -10000000 binary64)) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 10000 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 #s(literal 1 binary64)) (.f64 x z)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -10000000 binary64)) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 z (.f64 (-.f64 y #s(literal 1 binary64)) x))) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 10000 binary64)) (.f64 #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 z x) (-.f64 y #s(literal 1 binary64))))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -10000000 binary64)) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) z)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 10000 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 (-.f64 y #s(literal 1 binary64))) z))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -10000000 binary64)) #s(approx ( x (- 1 (* (- 1 y) z))) (.f64 z (.f64 (-.f64 y #s(literal 1 binary64)) x))) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 10000 binary64)) (.f64 #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 z (.f64 (-.f64 y #s(literal 1 binary64)) x)))))
(if (<=.f64 y #s(literal -1 binary64)) (fma.f64 #s(approx (* x (- y 1)) (.f64 y x)) z x) (if (<=.f64 y #s(literal 1/2 binary64)) (.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x)))
(if (<=.f64 y #s(literal -1 binary64)) (fma.f64 #s(approx (* x (- y 1)) (.f64 y x)) z x) (if (<=.f64 y #s(literal 1/2 binary64)) (.f64 #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x) (fma.f64 #s(approx (* x (- y 1)) (*.f64 y x)) z x)))
(if (<=.f64 y #s(literal -5400000000000000128080523431324986043619533142238038977375205824007241728 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) (.f64 x #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z))) #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z))))
(if (<=.f64 y #s(literal -5400000000000000128080523431324986043619533142238038977375205824007241728 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 z x) y)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) (.f64 #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x) #s(approx (+ (* (- y 1) (* z x)) x) (.f64 (.f64 y x) z))))
(if (<=.f64 y #s(literal -5400000000000000128080523431324986043619533142238038977375205824007241728 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 x z) y)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 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 (<=.f64 y #s(literal -5400000000000000128080523431324986043619533142238038977375205824007241728 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 z x) y)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) (.f64 #s(approx (- 1 ( (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 (.f64 z x) y))))
(.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 -1 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (if (<=.f64 z #s(literal 6788401819125115/73786976294838206464 binary64)) (.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z))))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z)) (if (<=.f64 z #s(literal 6788401819125115/73786976294838206464 binary64)) (.f64 #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)) x) #s(approx (* x (- 1 (* (- 1 y) z))) (.f64 #s(approx ( x (- y 1)) (neg.f64 x)) z))))
(.f64 x #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)))
(.f64 #s(approx (- 1 ( (- 1 y) z)) #s(literal 1 binary64)) x)

soundness1.7s (21.8%)

Memory

26.5MiB live, 569.8MiB allocated

Rules

11 266×	`lower-fma.f64`
11 266×	`lower-fma.f32`
8 046×	`lower-fma.f32`
8 042×	`lower-fma.f64`
7 100×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	2384
1	332	2358
2	975	2358
3	2039	2358
4	5300	2358
0	8182	2190
0	20	94
0	30	94
1	111	94
2	801	92
0	8353	90
0	74	592
1	234	592
2	627	592
3	1396	592
4	4039	592
5	6285	592
6	7489	592
0	8044	544
0	8	24
0	12	24
1	46	24
2	328	24
3	3538	24
0	9414	22

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

Compiler

Compiled 304 to 155 computations (49% saved)

preprocess310.0ms (3.9%)

Memory: 5.5MiB live, 182.3MiB allocated
Compiler: Compiled 774 to 306 computations (60.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	76	405
1	104	405
2	126	405
3	149	405
4	185	405
5	241	405
6	294	405
7	363	405
8	452	405
9	540	405
10	624	405
11	691	405
12	738	405
13	764	405
14	772	405
15	773	405

Iter	Nodes	Cost
0	76	405
1	104	405
2	126	405
3	149	405
4	185	405
5	241	405
6	294	405
7	363	405
8	452	405
9	540	405
10	624	405
11	691	405
12	738	405
13	764	405
14	772	405
15	773	405

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (15.5%)

explain294.0ms (3.7%)

preprocess271.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify42.0ms (0.5%)

localize128.0ms (1.6%)

series57.0ms (0.7%)

simplify155.0ms (2%)

rewrite177.0ms (2.3%)

eval105.0ms (1.3%)

prune42.0ms (0.5%)

simplify71.0ms (0.9%)

localize72.0ms (0.9%)

series41.0ms (0.5%)

simplify148.0ms (1.9%)

rewrite180.0ms (2.3%)

eval192.0ms (2.4%)

prune127.0ms (1.6%)

simplify97.0ms (1.2%)

localize127.0ms (1.6%)

series73.0ms (0.9%)

simplify266.0ms (3.4%)

rewrite244.0ms (3.1%)

eval312.0ms (4%)

prune41.0ms (0.5%)

simplify102.0ms (1.3%)

localize79.0ms (1%)

series27.0ms (0.3%)

simplify225.0ms (2.9%)

rewrite147.0ms (1.9%)

eval172.0ms (2.2%)

prune37.0ms (0.5%)

regimes54.0ms (0.7%)

regimes5.0ms (0.1%)

regimes47.0ms (0.6%)

regimes73.0ms (0.9%)

regimes7.0ms (0.1%)

regimes13.0ms (0.2%)

regimes29.0ms (0.4%)

regimes5.0ms (0.1%)

regimes24.0ms (0.3%)

regimes11.0ms (0.1%)

regimes24.0ms (0.3%)

bsearch7.0ms (0.1%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch37.0ms (0.5%)

bsearch75.0ms (1%)

bsearch2.0ms (0%)

bsearch64.0ms (0.8%)

simplify81.0ms (1%)

soundness1.7s (21.8%)

preprocess310.0ms (3.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	76	405
1	104	405
2	126	405
3	149	405
4	185	405
5	241	405
6	294	405
7	363	405
8	452	405
9	540	405
10	624	405
11	691	405
12	738	405
13	764	405
14	772	405
15	773	405