Metrics for Diagrams.TwoD.Segment:bezierClip from diagrams-lib-1.3.0.3

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.6s (28.2%)

Memory

-2.7MiB live, 698.4MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 597.0ms

ival-mult: 358.0ms (59.9% of total)

ival-add: 118.0ms (19.8% of total)

ival-sub: 106.0ms (17.7% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain174.0ms (3.1%)

Memory

-0.5MiB live, 109.6MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`	nan-rescue	4	0
↳	`(*.f64 x y)`	overflow	30
↳	`(*.f64 z (-.f64 #s(literal 1 binary64) y))`	overflow	23

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-mult: 7.0ms (54.9% of total)

ival-sub: 3.0ms (23.5% of total)

ival-add: 2.0ms (15.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess172.0ms (3.1%)

Memory

-18.8MiB live, 95.6MiB allocated

Algorithm

1×	egg-herbie

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
356×	`unsub-neg`
346×	`distribute-rgt-in`
298×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	90
1	80	81
2	188	81
3	533	68
4	1121	64
5	1898	63
6	2275	63
7	2311	63
8	2315	63
9	2315	63
0	8	9
0	12	9
1	19	9
2	29	9
3	52	9
4	107	8
5	155	7
6	246	7
7	396	7
8	556	7
9	625	7
10	627	7
0	627	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify24.0ms (0.4%)

Memory

8.3MiB live, 44.0MiB 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 z (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(*.f64 x y)
cost-diff	448	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))

Rules

608×	`lower-fma.f64`
608×	`lower-fma.f32`
240×	`lower-*.f32`
236×	`lower-*.f64`
152×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	556	22
9	625	22
10	627	22
0	627	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.4%)

Memory

6.8MiB live, 44.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(*.f64 z (-.f64 #s(literal 1 binary64) y))
accuracy	0.8593729358302059	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))

Samples

17.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

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

ival-mult: 4.0ms (63.5% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-11.0MiB live, 23.9MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

9 calls:

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

simplify234.0ms (4.2%)

Memory

21.0MiB live, 148.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 608×	`lower-fma.f64`
7 608×	`lower-fma.f32`
2 646×	`lower-*.f64`
2 646×	`lower-*.f32`
1 572×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	498
1	193	442
2	559	442
3	1395	442
4	3892	442
5	6259	442
0	8055	415

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 94

Calls

Call 1

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

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

rewrite295.0ms (5.3%)

Memory

3.9MiB live, 286.5MiB allocated

Rules

6 772×	`lower-*.f32`
6 768×	`lower-*.f64`
6 392×	`lower-fma.f64`
6 392×	`lower-fma.f32`
3 490×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	44	20
2	314	20
3	3850	20
0	11254	19

Stop Event

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

Counts

4 → 317

Calls

Call 1

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

Outputs
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eval94.0ms (1.7%)

Memory: -25.2MiB live, 132.6MiB allocated
Compiler: Compiled 9 093 to 1 129 computations (87.6% saved)

prune9.0ms (0.2%)

Memory

-5.5MiB live, 32.7MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	407	4	411
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	408	4	412

Accuracy

100.0%

Counts

412 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
▶	61.8%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
▶	62.4%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
▶	41.2%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify26.0ms (0.5%)

Memory

18.7MiB live, 55.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

608×	`lower-fma.f32`
606×	`lower-fma.f64`
240×	`lower-*.f32`
234×	`lower-*.f64`
152×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	98
0	24	98
1	35	98
2	52	86
3	85	86
4	148	86
5	210	86
6	338	86
7	525	86
8	690	86
9	711	86
10	711	86
0	711	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize42.0ms (0.7%)

Memory

13.4MiB live, 94.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (-.f64 x z) y z)
accuracy	0	(-.f64 x z)
accuracy	0	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
accuracy	0	(-.f64 x z)
accuracy	0.0078125	(*.f64 (-.f64 x z) y)
accuracy	24.416534309559566	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy	24.041152261734428	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
accuracy	0	(*.f64 y x)
accuracy	37.61140006139021	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Samples

33.0ms

256×

valid

Compiler

Compiled 78 to 15 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 10.0ms (51.4% of total)

ival-sub: 7.0ms (36% of total)

ival-add: 2.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.8%)

Memory

-3.3MiB live, 34.2MiB allocated

Counts

10 → 300

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	y	@	0	((+ (* x y) (* z (- 1 y))) (* y x) (+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (+ (* x y) (* z (- 1 y))) (+ (* (- x z) y) z))
2.0ms	x	@	-inf	((+ (* x y) (* z (- 1 y))) (* y x) (+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (+ (* x y) (* z (- 1 y))) (+ (* (- x z) y) z))
1.0ms	y	@	inf	((+ (* x y) (* z (- 1 y))) (* y x) (+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (+ (* x y) (* z (- 1 y))) (+ (* (- x z) y) z))
1.0ms	y	@	-inf	((+ (* x y) (* z (- 1 y))) (* y x) (+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (+ (* x y) (* z (- 1 y))) (+ (* (- x z) y) z))
1.0ms	z	@	-inf	((+ (* x y) (* z (- 1 y))) (* y x) (+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (+ (* x y) (* z (- 1 y))) (+ (* (- x z) y) z))

simplify123.0ms (2.2%)

Memory

1.0MiB live, 187.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 394×	`lower-fma.f64`
6 394×	`lower-fma.f32`
2 692×	`lower-*.f64`
2 692×	`lower-*.f32`
1 478×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1962
1	390	1572
2	1120	1572
3	2704	1572
4	5394	1572
5	7547	1572
0	8047	1437

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 291

Calls

Call 1

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

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

rewrite556.0ms (9.9%)

Memory

-9.3MiB live, 313.3MiB allocated

Rules

7 622×	`lower-fma.f32`
7 620×	`lower-fma.f64`
4 948×	`lower-*.f32`
4 942×	`lower-*.f64`
2 996×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	84
0	24	84
1	82	84
2	579	72
3	7483	72
0	8013	72

Stop Event

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

Counts

10 → 393

Calls

Call 1

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

Outputs
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eval114.0ms (2%)

Memory: 18.3MiB live, 217.4MiB allocated
Compiler: Compiled 13 661 to 1 633 computations (88% saved)

prune122.0ms (2.2%)

Memory

-12.6MiB live, 64.1MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	779	2	781
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	779	6	785

Accuracy

100.0%

Counts

785 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
✓	61.8%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
✓	62.4%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
▶	25.0%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
▶	40.2%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
✓	41.2%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 34 to 38 computations (-11.8% saved)

simplify110.0ms (2%)

Memory

0.7MiB live, 40.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

704×	`lower-fma.f64`
704×	`lower-fma.f32`
336×	`lower-*.f32`
332×	`lower-*.f64`
184×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	67
0	19	67
1	32	67
2	46	67
3	75	63
4	148	63
5	214	63
6	365	63
7	577	63
8	666	63
9	695	63
10	781	63
11	829	63
12	833	63
13	837	63
14	843	63
15	847	63
0	847	61

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (0.5%)

Memory

28.1MiB live, 28.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.0078125	(*.f64 #s(approx (- x z) (neg.f64 z)) y)
accuracy	24.416534309559566	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
accuracy	32.430767170139426	#s(approx (- x z) (neg.f64 z))
accuracy	0.00390625	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy	24.041152261734428	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
accuracy	28.67735463164862	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

20.0ms

256×

valid

Compiler

Compiled 42 to 14 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (52.1% of total)

ival-sub: 2.0ms (17.4% of total)

ival-add: 1.0ms (8.7% of total)

ival-neg: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series58.0ms (1%)

Memory

-53.8MiB live, 13.0MiB allocated

Counts

7 → 180

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
35.0ms	y	@	inf	((+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (neg z))
15.0ms	y	@	-inf	((+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (neg z))
1.0ms	z	@	inf	((+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (neg z))
1.0ms	z	@	-inf	((+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (neg z))
0.0ms	x	@	-inf	((+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (neg z))

simplify183.0ms (3.3%)

Memory

6.9MiB live, 160.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 194×	`lower-fma.f64`
7 194×	`lower-fma.f32`
2 540×	`lower-*.f64`
2 540×	`lower-*.f32`
1 280×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1062
1	293	852
2	839	852
3	2211	852
4	4345	852
5	6289	852
6	7293	852
7	7907	852
0	8005	798

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 174

Calls

Call 1

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

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

rewrite148.0ms (2.7%)

Memory

-2.5MiB live, 191.5MiB allocated

Rules

4 962×	`lower-fma.f64`
4 962×	`lower-fma.f32`
3 892×	`lower-*.f32`
3 888×	`lower-*.f64`
1 852×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	63
0	19	63
1	69	63
2	456	63
3	5427	59
0	8865	55

Stop Event

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

Counts

7 → 40

Calls

Call 1

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

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

eval23.0ms (0.4%)

Memory: 12.6MiB live, 49.7MiB allocated
Compiler: Compiled 1 489 to 182 computations (87.8% saved)

prune7.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	214	6	220

Accuracy

100.0%

Counts

220 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
✓	61.8%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
✓	62.4%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
✓	25.0%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
✓	40.2%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
✓	41.2%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 77 to 62 computations (19.5% saved)

regimes15.0ms (0.3%)

Memory

-12.4MiB live, 26.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))
3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
80.0%	3	`x`
85.7%	3	`y`
81.3%	3	`z`
74.3%	3	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes31.0ms (0.5%)

Memory

-34.4MiB live, 9.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

26.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
76.4%	3	`x`
77.2%	3	`z`
73.1%	5	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

3 → 6

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
72.6%	6	`y`
56.0%	4	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`
61.5%	4	`x`
60.5%	4	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.4%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
41.2%	1	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`
41.2%	1	`z`
41.2%	1	`x`
41.2%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch37.0ms (0.7%)

Memory

-14.8MiB live, 21.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.0232585979179604e-75	3.3797155684373812e-71
11.0ms	-4.356318729313897e-43	-1.5377632090389939e-46

Samples

12.0ms

256×

valid

Compiler

Compiled 188 to 254 computations (-35.1% saved)

Precisions

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

ival-mult: 3.0ms (47.8% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.4%)

Memory

18.3MiB live, 18.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.5459673657536903e-111	1.6198334412776127e-106
7.0ms	-6.246819070165782e-90	-2.1878464671534827e-90

Samples

11.0ms

224×

valid

Compiler

Compiled 152 to 210 computations (-38.2% saved)

Precisions

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

ival-mult: 3.0ms (54.3% of total)

ival-sub: 1.0ms (18.1% of total)

ival-add: 1.0ms (18.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch216.0ms (3.9%)

Memory

-21.2MiB live, 51.6MiB allocated

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.0170455398311277e+251	1.1272647330191695e+255
13.0ms	2.0746509674684727e+116	1.3201988879505599e+126
1.0ms	1.0232585979179604e-75	3.3797155684373812e-71
91.0ms	-5.698499936789726e-26	-8.173831770776959e-29
12.0ms	-3.618207716341635e+195	-1.6564441183546479e+189

Samples

27.0ms

560×

valid

Compiler

Compiled 442 to 632 computations (-43% saved)

Precisions

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

ival-mult: 8.0ms (57.8% of total)

ival-sub: 3.0ms (21.7% of total)

ival-add: 2.0ms (14.4% 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

5.1MiB live, 5.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.0232585979179604e-75	3.3797155684373812e-71
1.0ms	-4.356318729313897e-43	-1.5377632090389939e-46

Compiler

Compiled 156 to 238 computations (-52.6% saved)

simplify61.0ms (1.1%)

Memory

-9.8MiB live, 83.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`-commutative-binary64-.f64`
8×	`+-commutative-binary64-+.f64`
8×	`sub-neg-binary64-neg.f64-+.f64--.f64`
4×	`neg-sub0-binary64--.f64-neg.f64`
4×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	298
1	69	298
2	75	298
3	78	298
4	79	298

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
(if (<=.f64 y #s(literal -3916911482881289/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 1025729175095185/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))))
(if (<=.f64 z #s(literal -6651145986371207/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 #s(literal 1 binary64) y) z)) (if (<=.f64 z #s(literal 465383402028335/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 y x)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(if (<=.f64 y #s(literal -160000000000000010596402131137168366253036462508507074809195497824989931310728747434726056871537343298234036883047299261189293889656091886360654671960176192648332940994688661346430037205863890944 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal -2439144006089287/43556142965880123323311949751266331066368 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- x z) (neg.f64 z)) y)) (if (<=.f64 y #s(literal 1025729175095185/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) (if (<=.f64 y #s(literal 1400000000000000056864304477984527583936700396233028734937012235789482958769187272966851624175927314247372970328158254399488 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 369999999999999989883170558980551378405655778896063626792676533108549224492326875366991649853297282565917358687779187043978211877784656222954782118934859032142174662137733649355985202906267298363860303243186046347798671257911718980647011585022784176128 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- x z) (neg.f64 z)) y)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 y x)))))))
(if (<=.f64 y #s(literal -8034690221294951/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 1025729175095185/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 y x))))
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Outputs
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
(if (<=.f64 y #s(literal -3916911482881289/50216813883093446110686315385661331328818843555712276103168 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 1025729175095185/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))))
(if (<=.f64 z #s(literal -6651145986371207/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 #s(literal 1 binary64) y) z)) (if (<=.f64 z #s(literal 465383402028335/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 y x)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(if (<=.f64 y #s(literal -160000000000000010596402131137168366253036462508507074809195497824989931310728747434726056871537343298234036883047299261189293889656091886360654671960176192648332940994688661346430037205863890944 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal -2439144006089287/43556142965880123323311949751266331066368 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- x z) (neg.f64 z)) y)) (if (<=.f64 y #s(literal 1025729175095185/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) (if (<=.f64 y #s(literal 1400000000000000056864304477984527583936700396233028734937012235789482958769187272966851624175927314247372970328158254399488 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 369999999999999989883170558980551378405655778896063626792676533108549224492326875366991649853297282565917358687779187043978211877784656222954782118934859032142174662137733649355985202906267298363860303243186046347798671257911718980647011585022784176128 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- x z) (neg.f64 z)) y)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 y x)))))))
(if (<=.f64 y #s(literal -8034690221294951/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 1025729175095185/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) #s(approx (+ ( x y) (* z (- 1 y))) (*.f64 y x))))
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

soundness937.0ms (16.8%)

Memory

10.0MiB live, 403.5MiB allocated

Rules

7 608×	`lower-fma.f64`
7 608×	`lower-fma.f32`
6 394×	`lower-fma.f64`
6 394×	`lower-fma.f32`
2 692×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	1962
1	390	1572
2	1120	1572
3	2704	1572
4	5394	1572
5	7547	1572
0	8047	1437
0	57	498
1	193	442
2	559	442
3	1395	442
4	3892	442
5	6259	442
0	8055	415

Stop Event

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

Compiler

Compiled 190 to 126 computations (33.7% saved)

preprocess51.0ms (0.9%)

Memory: 10.6MiB live, 88.3MiB allocated
Compiler: Compiled 292 to 128 computations (56.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	556	22
9	625	22
10	627	22
0	627	21

Iter	Nodes	Cost
0	18	98
0	24	98
1	35	98
2	52	86
3	85	86
4	148	86
5	210	86
6	338	86
7	525	86
8	690	86
9	711	86
10	711	86
0	711	86

Iter	Nodes	Cost
0	16	67
0	19	67
1	32	67
2	46	67
3	75	63
4	148	63
5	214	63
6	365	63
7	577	63
8	666	63
9	695	63
10	781	63
11	829	63
12	833	63
13	837	63
14	843	63
15	847	63
0	847	61

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	556	22
9	625	22
10	627	22
0	627	21

Iter	Nodes	Cost
0	18	98
0	24	98
1	35	98
2	52	86
3	85	86
4	148	86
5	210	86
6	338	86
7	525	86
8	690	86
9	711	86
10	711	86
0	711	86

Iter	Nodes	Cost
0	16	67
0	19	67
1	32	67
2	46	67
3	75	63
4	148	63
5	214	63
6	365	63
7	577	63
8	666	63
9	695	63
10	781	63
11	829	63
12	833	63
13	837	63
14	843	63
15	847	63
0	847	61

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (28.2%)

explain174.0ms (3.1%)

preprocess172.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify24.0ms (0.4%)

localize22.0ms (0.4%)

series11.0ms (0.2%)

simplify234.0ms (4.2%)

rewrite295.0ms (5.3%)

eval94.0ms (1.7%)

prune9.0ms (0.2%)

simplify26.0ms (0.5%)

localize42.0ms (0.7%)

series44.0ms (0.8%)

simplify123.0ms (2.2%)

rewrite556.0ms (9.9%)

eval114.0ms (2%)

prune122.0ms (2.2%)

simplify110.0ms (2%)

localize28.0ms (0.5%)

series58.0ms (1%)

simplify183.0ms (3.3%)

rewrite148.0ms (2.7%)

eval23.0ms (0.4%)

prune7.0ms (0.1%)

regimes15.0ms (0.3%)

regimes10.0ms (0.2%)

regimes31.0ms (0.5%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch37.0ms (0.7%)

bsearch21.0ms (0.4%)

bsearch216.0ms (3.9%)

bsearch2.0ms (0%)

simplify61.0ms (1.1%)

soundness937.0ms (16.8%)

preprocess51.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	19	24
2	29	24
3	52	24
4	107	23
5	155	22
6	246	22
7	396	22
8	556	22
9	625	22
10	627	22
0	627	21

Iter	Nodes	Cost
0	18	98
0	24	98
1	35	98
2	52	86
3	85	86
4	148	86
5	210	86
6	338	86
7	525	86
8	690	86
9	711	86
10	711	86
0	711	86

Iter	Nodes	Cost
0	16	67
0	19	67
1	32	67
2	46	67
3	75	63
4	148	63
5	214	63
6	365	63
7	577	63
8	666	63
9	695	63
10	781	63
11	829	63
12	833	63
13	837	63
14	843	63
15	847	63
0	847	61