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

0.9MiB live, 0.9MiB 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)

sample1.3s (25.3%)

Memory

11.8MiB live, 716.9MiB allocated

Samples

854.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 459.0ms

ival-mult: 288.0ms (62.7% of total)

ival-add: 99.0ms (21.6% of total)

ival-sub: 58.0ms (12.6% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain147.0ms (2.8%)

Memory

17.9MiB live, 70.5MiB 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	33
↳	`(*.f64 z (-.f64 #s(literal 1 binary64) y))`	overflow	35

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

29.0ms

512×

valid

Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions

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

ival-mult: 7.0ms (52.7% of total)

ival-sub: 3.0ms (22.6% of total)

ival-add: 2.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess150.0ms (2.9%)

Memory

-4.8MiB live, 104.3MiB allocated

Algorithm

1×	egg-herbie

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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify33.0ms (0.6%)

Memory

-43.4MiB live, 21.0MiB 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)))

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)

localize20.0ms (0.4%)

Memory

17.0MiB live, 17.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 x y)
accuracy	0.0078125	(*.f64 z (-.f64 #s(literal 1 binary64) y))
accuracy	0.8984333716604117	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))

Samples

14.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

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

ival-mult: 4.0ms (61.3% of total)

ival-sub: 1.0ms (15.3% of total)

ival-add: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB 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))

simplify152.0ms (2.9%)

Memory

-11.9MiB live, 172.4MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite413.0ms (7.9%)

Memory

18.4MiB live, 331.6MiB allocated

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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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval202.0ms (3.8%)

Memory: 23.3MiB live, 100.5MiB allocated
Compiler: Compiled 9 093 to 1 129 computations (87.6% saved)

prune66.0ms (1.3%)

Memory

-15.0MiB live, 82.6MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	406	5	411
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	407	5	412

Accuracy

100.0%

Counts

412 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x))
▶	100.0%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
▶	63.6%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
▶	66.1%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
▶	39.3%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 62 to 62 computations (0% saved)

simplify26.0ms (0.5%)

Memory

-19.7MiB live, 57.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	320	(fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x))
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))
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))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	116
0	26	110
1	36	110
2	53	102
3	86	102
4	149	102
5	211	102
6	338	102
7	526	102
8	692	102
9	713	102
10	713	102
0	713	102

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.9%)

Memory

-1.6MiB live, 121.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 y x)
accuracy	0.7578042428166806	(fma.f64 (-.f64 #s(literal 1 binary64) y) z (*.f64 y x))
accuracy	0	(-.f64 x z)
accuracy	0.00390625	(*.f64 (-.f64 x z) y)
accuracy	23.292848699592216	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy	21.689556419781102	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
accuracy	0	(*.f64 y x)
accuracy	38.8703034561237	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))
accuracy	0	(-.f64 x z)
accuracy	0	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
accuracy	0.00390625	(fma.f64 (-.f64 x z) y z)

Samples

34.0ms

256×

valid

Compiler

Compiled 177 to 31 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 9.0ms (43.9% of total)

ival-mult: 8.0ms (39% of total)

ival-sub: 2.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.4%)

Memory

11.8MiB live, 50.8MiB allocated

Counts

11 → 336

Calls

Call 1

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

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

Calls

9 calls:

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

simplify155.0ms (2.9%)

Memory

-4.6MiB live, 155.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	2246
1	390	1796
2	1120	1796
3	2690	1796
4	5358	1796
5	7503	1796
0	8023	1634

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 326

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

rewrite253.0ms (4.8%)

Memory

-11.1MiB live, 302.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	26	86
1	103	86
2	685	78
0	8508	78

Stop Event

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

Counts

11 → 648

Calls

Call 1

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

Outputs
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eval275.0ms (5.2%)

Memory: 20.0MiB live, 333.7MiB allocated
Compiler: Compiled 23 967 to 1 863 computations (92.2% saved)

prune122.0ms (2.3%)

Memory

9.1MiB live, 92.7MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 156	4	1 160
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 158	7	1 165

Accuracy

100.0%

Counts

1 165 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.4%	(fma.f64 #s(approx (- 1 y) (neg.f64 y)) z (*.f64 y x))
✓	100.0%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
▶	66.1%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (neg.f64 z) y z))
✓	63.6%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
▶	30.1%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
▶	38.5%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
✓	39.3%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 42 to 44 computations (-4.8% saved)

simplify46.0ms (0.9%)

Memory

-9.8MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	116
0	31	116
1	52	116
2	74	116
3	106	110
4	195	110
5	320	110
6	503	110
7	675	110
8	849	110
9	933	110
10	986	110
11	1013	110
12	1023	110
13	1029	110
14	1032	110
15	1034	110
0	1034	107

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

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

localize67.0ms (1.3%)

Memory

-2.6MiB live, 88.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 y)
accuracy	0.7578042428166806	(fma.f64 #s(approx (- 1 y) (neg.f64 y)) z (*.f64 y x))
accuracy	29.581012534321673	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(fma.f64 (neg.f64 z) y z)
accuracy	0	(neg.f64 z)
accuracy	21.689556419781102	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (neg.f64 z) y z))
accuracy	0	(neg.f64 z)
accuracy	0.00390625	(*.f64 #s(approx (- x z) (neg.f64 z)) y)
accuracy	23.292848699592216	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
accuracy	30.027702730248162	#s(approx (- x z) (neg.f64 z))
accuracy	0.0078125	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy	21.689556419781102	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
accuracy	33.29049670850896	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

51.0ms

256×

valid

Compiler

Compiled 146 to 36 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-neg: 21.0ms (56% of total)

ival-mult: 10.0ms (26.7% of total)

ival-add: 4.0ms (10.7% of total)

ival-sub: 3.0ms (8% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.4%)

Memory

-2.2MiB live, 34.3MiB allocated

Counts

13 → 324

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (neg z) (+ (* x y) (* z (- 1 y))) (+ (* (neg z) y) z) (+ (* (- 1 y) z) (* y x)) (- 1 y) (neg y) (* y x))
1.0ms	y	@	-inf	((+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (neg z) (+ (* x y) (* z (- 1 y))) (+ (* (neg z) y) z) (+ (* (- 1 y) z) (* y x)) (- 1 y) (neg y) (* y x))
1.0ms	y	@	inf	((+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (neg z) (+ (* x y) (* z (- 1 y))) (+ (* (neg z) y) z) (+ (* (- 1 y) z) (* y x)) (- 1 y) (neg y) (* y x))
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) (+ (* x y) (* z (- 1 y))) (+ (* (neg z) y) z) (+ (* (- 1 y) z) (* y x)) (- 1 y) (neg y) (* y x))
1.0ms	z	@	0	((+ (* x y) (* z (- 1 y))) (* (- 1 y) z) (- 1 y) (+ (* x y) (* z (- 1 y))) (* (- x z) y) (- x z) (neg z) (+ (* x y) (* z (- 1 y))) (+ (* (neg z) y) z) (+ (* (- 1 y) z) (* y x)) (- 1 y) (neg y) (* y x))

simplify132.0ms (2.5%)

Memory

-3.8MiB live, 151.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	1872
1	306	1542
2	875	1542
3	2252	1542
4	4762	1542
5	6926	1542
0	8001	1434

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 315

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)
(* x y)
(+ (* x y) (* z (- 1 y)))
(+ (* x y) (* z (- 1 y)))
(+ (* x y) (* z (- 1 y)))
(* z (+ 1 (* -1 y)))
(* z (+ 1 (* -1 y)))
(* z (+ 1 (* -1 y)))
(* z (+ 1 (* -1 y)))
(* x y)
(+ (* x y) (* z (- 1 y)))
(+ (* x y) (* z (- 1 y)))
(+ (* x 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))
(* 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))
(* 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)))
(* z (+ 1 (* -1 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))
(* -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 (- 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)))
(* -1 (* z (- y 1)))
(* -1 (* z (- y 1)))
(* 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
(+ 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 (* -1 (* y z)))
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
z
(+ z (* y (+ x (* -1 z))))
(+ z (* y (+ x (* -1 z))))
(+ z (* y (+ x (* -1 z))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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))))
(* -1 (* y z))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z 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)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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))))))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z 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)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -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))
(+ (* 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 (/ (* 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 (/ (* 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)
(* -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)) 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)
(* 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)
(* 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 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (+ 1 (* -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)
(* 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)
(* 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 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (+ 1 (* -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)
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rewrite161.0ms (3.1%)

Memory

-3.6MiB live, 147.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	105
0	31	105
1	116	105
2	755	105
0	8476	102

Stop Event

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

Counts

13 → 238

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

Outputs
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eval67.0ms (1.3%)

Memory: 26.9MiB live, 98.6MiB allocated
Compiler: Compiled 7 995 to 863 computations (89.2% saved)

prune19.0ms (0.4%)

Memory

-11.4MiB live, 38.0MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	582	0	582
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	582	7	589

Accuracy

100.0%

Counts

589 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.4%	(fma.f64 #s(approx (- 1 y) (neg.f64 y)) z (*.f64 y x))
✓	100.0%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (-.f64 x z) y z))
✓	66.1%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (neg.f64 z) y z))
✓	63.6%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
✓	30.1%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
✓	38.5%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
✓	39.3%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 107 to 74 computations (30.8% saved)

regimes15.0ms (0.3%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

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

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

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)

regimes16.0ms (0.3%)

Memory

-18.0MiB live, 19.7MiB allocated

Counts

6 → 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))
#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (neg.f64 z) y z))

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:

7.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))
3.0ms	y
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
82.2%	3	`x`
91.0%	3	`y`
83.7%	3	`z`
80.3%	5	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB 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:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
78.3%	3	`x`
81.1%	3	`z`
70.2%	3	`y`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes11.0ms (0.2%)

Memory

-16.1MiB live, 22.2MiB allocated

Counts

3 → 4

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 (- 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 y x))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
69.7%	4	`y`
58.5%	5	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`
60.0%	4	`x`
59.1%	3	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB 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
66.8%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

-21.5MiB live, 17.7MiB 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	z
1.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
39.3%	1	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`
39.3%	1	`x`
39.3%	1	`z`
39.3%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch65.0ms (1.2%)

Memory

21.7MiB live, 70.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	1.3252888762152354e-38	7.958849550789247e-26
12.0ms	-5.761344540952848e-32	-1.0769239595765667e-38

Samples

51.0ms

304×

valid

Compiler

Compiled 221 to 299 computations (-35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 27.0ms (87.7% of total)

ival-sub: 2.0ms (6.5% of total)

ival-add: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch18.0ms (0.3%)

Memory

-19.4MiB live, 18.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.9968484380924286e-109	2.0716970730867532e-109
15.0ms	-4.1186225773723267e-69	-2.642184952661871e-72

Samples

11.0ms

144×

valid

Compiler

Compiled 102 to 140 computations (-37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (55.4% of total)

ival-sub: 1.0ms (27.7% of total)

ival-add: 1.0ms (27.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.6%)

Memory

-3.2MiB live, 34.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	8.152698048794684e+123	7.993395672533485e+124
14.0ms	3.4270471354713464e-9	9611096.971998252
2.0ms	-5.761344540952848e-32	-1.0769239595765667e-38

Samples

13.0ms

272×

valid

Compiler

Compiled 263 to 384 computations (-46% saved)

Precisions

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

ival-mult: 4.0ms (59.6% of total)

ival-sub: 1.0ms (14.9% of total)

ival-add: 1.0ms (14.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.3%)

Memory

18.9MiB live, 18.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.551274151881459e-53	6.2607682933202e-48
1.0ms	-5.761344540952848e-32	-1.0769239595765667e-38

Samples

7.0ms

144×

valid

Compiler

Compiled 174 to 266 computations (-52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (55.9% of total)

ival-sub: 1.0ms (27.9% of total)

ival-add: 1.0ms (27.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify28.0ms (0.5%)

Memory

4.0MiB live, 42.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	259
1	64	259
2	70	259
3	73	259
4	74	259

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 -319703483166135/182687704666362864775460604089535377456991567872 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 1045347431181123/21778071482940061661655974875633165533184 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 -6993608012012625/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 #s(literal 1 binary64) y) z)) (if (<=.f64 z #s(literal 4230758200257591/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 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 -5699856385590521/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) (if (<=.f64 y #s(literal 35999999999999998610423264637090361149717285516082919942194362388769718795211493015750939839642163874726521198362072860065792 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 -5699856385590521/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 1933467854852417/822752278660603021077484591278675252491367932816789931674304512 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 -319703483166135/182687704666362864775460604089535377456991567872 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 1045347431181123/21778071482940061661655974875633165533184 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 y #s(literal -319703483166135/182687704666362864775460604089535377456991567872 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y (-.f64 x z))) (if (<=.f64 y #s(literal 1045347431181123/21778071482940061661655974875633165533184 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 (-.f64 x z)))))
(if (<=.f64 z #s(literal -6993608012012625/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 #s(literal 1 binary64) y) z)) (if (<=.f64 z #s(literal 4230758200257591/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 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 -5699856385590521/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)) (if (<=.f64 y #s(literal 35999999999999998610423264637090361149717285516082919942194362388769718795211493015750939839642163874726521198362072860065792 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 -5699856385590521/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 1933467854852417/822752278660603021077484591278675252491367932816789931674304512 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))

soundness1.1s (20.1%)

Memory

-4.1MiB live, 394.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	2246
1	390	1796
2	1120	1796
3	2690	1796
4	5358	1796
5	7503	1796
0	8023	1634
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 172 to 121 computations (29.7% saved)

preprocess49.0ms (0.9%)

Memory: 25.2MiB live, 100.1MiB allocated
Compiler: Compiled 256 to 118 computations (53.9% 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	19	116
0	26	110
1	36	110
2	53	102
3	86	102
4	149	102
5	211	102
6	338	102
7	526	102
8	692	102
9	713	102
10	713	102
0	713	102

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	19	116
0	26	110
1	36	110
2	53	102
3	86	102
4	149	102
5	211	102
6	338	102
7	526	102
8	692	102
9	713	102
10	713	102
0	713	102

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (25.3%)

explain147.0ms (2.8%)

preprocess150.0ms (2.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify33.0ms (0.6%)

localize20.0ms (0.4%)

series8.0ms (0.2%)

simplify152.0ms (2.9%)

rewrite413.0ms (7.9%)

eval202.0ms (3.8%)

prune66.0ms (1.3%)

simplify26.0ms (0.5%)

localize45.0ms (0.9%)

series19.0ms (0.4%)

simplify155.0ms (2.9%)

rewrite253.0ms (4.8%)

eval275.0ms (5.2%)

prune122.0ms (2.3%)

simplify46.0ms (0.9%)

localize67.0ms (1.3%)

series21.0ms (0.4%)

simplify132.0ms (2.5%)

rewrite161.0ms (3.1%)

eval67.0ms (1.3%)

prune19.0ms (0.4%)

regimes15.0ms (0.3%)

regimes16.0ms (0.3%)

regimes7.0ms (0.1%)

regimes11.0ms (0.2%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch65.0ms (1.2%)

bsearch18.0ms (0.3%)

bsearch30.0ms (0.6%)

bsearch15.0ms (0.3%)

simplify28.0ms (0.5%)

soundness1.1s (20.1%)

preprocess49.0ms (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	19	116
0	26	110
1	36	110
2	53	102
3	86	102
4	149	102
5	211	102
6	338	102
7	526	102
8	692	102
9	713	102
10	713	102
0	713	102