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

0.8MiB 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 (21%)

Memory

18.3MiB live, 1 117.5MiB allocated

Samples

1000.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 454.0ms

ival-mult: 229.0ms (50.4% of total)

ival-sub: 105.0ms (23.1% of total)

ival-add: 105.0ms (23.1% of total)

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

exact: 6.0ms (1.3% of total)

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

Bogosity

explain372.0ms (6.1%)

Memory

-166.4MiB live, 129.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
7	-	-	`(+.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	7	0
↳	`(*.f64 x y)`	overflow	39
↳	`(*.f64 z (-.f64 #s(literal 1 binary64) y))`	overflow	42

Confusion

	Predicted +	Predicted -
+	7	0
-	0	249

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	7	0	0
-	0	0	249

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	249
1	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

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

ival-mult: 7.0ms (54.6% of total)

ival-sub: 3.0ms (23.4% of total)

ival-add: 2.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess87.0ms (1.4%)

Memory

10.3MiB live, 47.4MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify19.0ms (0.3%)

Memory

8.3MiB live, 8.3MiB 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)

localize51.0ms (0.8%)

Memory

-16.6MiB live, 20.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 x y)
accuracy	0.00390625	(*.f64 z (-.f64 #s(literal 1 binary64) y))
accuracy	1.457029185830206	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))

Samples

46.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sub: 30.0ms (86.1% of total)

ival-mult: 4.0ms (11.5% of total)

ival-add: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB 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))

simplify149.0ms (2.4%)

Memory

-9.4MiB live, 109.5MiB 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)

rewrite230.0ms (3.7%)

Memory

0.7MiB live, 357.3MiB 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>
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eval54.0ms (0.9%)

Memory: 20.3MiB live, 132.0MiB allocated
Compiler: Compiled 9 093 to 1 129 computations (87.6% saved)

prune12.0ms (0.2%)

Memory

1.3MiB live, 34.5MiB 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
▶	98.0%	(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))
▶	65.6%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
▶	66.0%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
▶	38.7%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 62 to 62 computations (0% saved)

simplify23.0ms (0.4%)

Memory

7.2MiB live, 46.5MiB 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	524	102
8	693	102
9	714	102
10	714	102
0	714	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))
(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))
(fma.f64 (-.f64 x z) y z)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
(*.f64 y x)
x

localize282.0ms (4.6%)

Memory

-9.7MiB live, 118.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 y x)
accuracy	1.261704988027801	(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	22.016628182732727	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy	21.74014076325483	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
accuracy	0	(*.f64 y x)
accuracy	39.227238845840674	#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 97 to 16 computations (83.5% saved)

Precisions

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

ival-add: 8.0ms (42.1% of total)

ival-mult: 8.0ms (42.1% of total)

ival-sub: 3.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series152.0ms (2.5%)

Memory

-7.2MiB live, 31.6MiB 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>) () ())) ())
#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 (* -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
2.0ms	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)))

simplify130.0ms (2.1%)

Memory

36.7MiB live, 107.6MiB 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))))
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- 1 y))
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Outputs
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(* x y)
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(+ (* x y) (* z (+ 1 (* -1 y))))
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(+ x (* -1 z))
(-.f64 x z)
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(-.f64 x z)
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(-.f64 x z)
(* x y)
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(+ (* x y) (* z (- 1 y)))
(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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(* y (- x z))
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rewrite357.0ms (5.8%)

Memory

-45.3MiB live, 174.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	26	86
1	103	86
2	685	78
0	8515	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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eval173.0ms (2.8%)

Memory: 37.5MiB live, 307.2MiB allocated
Compiler: Compiled 23 967 to 1 863 computations (92.2% saved)

prune53.0ms (0.9%)

Memory

-32.9MiB live, 94.0MiB 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
▶	63.6%	(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))
▶	66.0%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (neg.f64 z) y z))
✓	65.6%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
▶	32.3%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
▶	36.3%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
✓	38.7%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 42 to 44 computations (-4.8% saved)

simplify49.0ms (0.8%)

Memory

0.5MiB live, 38.8MiB 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	317	110
6	501	110
7	673	110
8	847	110
9	933	110
10	987	110
11	1020	110
12	1028	110
13	1034	110
14	1037	110
15	1039	110
0	1039	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))
(*.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))
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(fma.f64 (neg.f64 z) y z)
(*.f64 (-.f64 #s(literal 1 binary64) 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

localize48.0ms (0.8%)

Memory

8.6MiB live, 83.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 y)
accuracy	1.261704988027801	(fma.f64 #s(approx (- 1 y) (neg.f64 y)) z (*.f64 y x))
accuracy	27.19349653390249	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(fma.f64 (neg.f64 z) y z)
accuracy	0	(neg.f64 z)
accuracy	21.74014076325483	#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	22.016628182732727	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
accuracy	28.868848893972455	#s(approx (- x z) (neg.f64 z))
accuracy	0.00390625	(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z)
accuracy	21.74014076325483	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
accuracy	35.52894997067477	#s(approx (- 1 y) #s(literal 1 binary64))

Samples

36.0ms

256×

valid

Compiler

Compiled 81 to 19 computations (76.5% saved)

Precisions

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

ival-mult: 13.0ms (61.6% of total)

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

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

ival-neg: 2.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.7%)

Memory

-7.5MiB live, 45.6MiB 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>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 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>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 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>) () ())) ())
#s(alt (+ (* x y) (* z (- 1 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 (* -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
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))
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))

simplify153.0ms (2.5%)

Memory

-4.2MiB live, 106.2MiB 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)
(* 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)
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rewrite520.0ms (8.5%)

Memory

19.2MiB live, 261.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	105
0	31	105
1	116	105
2	755	105
0	8481	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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eval283.0ms (4.6%)

Memory: -7.4MiB live, 152.0MiB allocated
Compiler: Compiled 7 995 to 863 computations (89.2% saved)

prune17.0ms (0.3%)

Memory

10.6MiB live, 47.8MiB 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
✓	63.6%	(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))
✓	66.0%	#s(approx (+ (* x y) (* z (- 1 y))) (fma.f64 (neg.f64 z) y z))
✓	65.6%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))
✓	32.3%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- x z) (neg.f64 z)) y))
✓	36.3%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z))
✓	38.7%	#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 y x))

Compiler

Compiled 107 to 74 computations (30.8% saved)

regimes18.0ms (0.3%)

Memory

-1.7MiB live, 35.9MiB 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:

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

regimes15.0ms (0.2%)

Memory

-35.7MiB live, 18.9MiB 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))) (fma.f64 (neg.f64 z) y z))
#s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
79.0%	3	`x`
91.8%	3	`y`
87.7%	3	`z`
80.6%	5	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes3.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
91.8%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB 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

2 calls:

2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
79.9%	3	`z`
69.7%	3	`y`

Compiler

Compiled 2 to 6 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB 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 #s(approx (- x z) (neg.f64 z)) y))
#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))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
69.3%	4	`y`
55.4%	5	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`
58.9%	4	`x`
62.5%	5	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory

2.8MiB live, 2.8MiB 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
64.7%	3	`y`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB 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	x
1.0ms	y
1.0ms	z
1.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))

Results

Accuracy	Segments	Branch
38.7%	1	`(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) y)))`
38.7%	1	`x`
38.7%	1	`z`
38.7%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch41.0ms (0.7%)

Memory

-1.8MiB live, 36.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.076091930251461e-5	65915.798209098
24.0ms	-72.00402195456304	-6.916338141483039e-9

Samples

15.0ms

320×

valid

Compiler

Compiled 252 to 294 computations (-16.7% saved)

Precisions

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

ival-mult: 4.0ms (51.3% of total)

ival-sub: 1.0ms (12.8% of total)

ival-add: 1.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.076091930251461e-5	65915.798209098
1.0ms	-72.00402195456304	-6.916338141483039e-9

Compiler

Compiled 252 to 314 computations (-24.6% saved)

bsearch56.0ms (0.9%)

Memory

-8.4MiB live, 28.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	7.50749449425385e-7	4.04104749623685
41.0ms	-4.8379357707448345e+38	-53919922994171.086

Samples

15.0ms

320×

valid

Compiler

Compiled 212 to 294 computations (-38.7% saved)

Precisions

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

ival-mult: 4.0ms (51.1% of total)

ival-sub: 2.0ms (25.5% of total)

ival-add: 1.0ms (12.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch48.0ms (0.8%)

Memory

-20.1MiB live, 59.1MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	243888559218831.28	8501792991196064.0
12.0ms	-72.00402195456304	-6.916338141483039e-9
17.0ms	-4.102095977488447e+151	-3.194137718771658e+145

Samples

24.0ms

400×

valid

Compiler

Compiled 269 to 392 computations (-45.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (60.4% of total)

ival-sub: 2.0ms (20.1% of total)

ival-add: 2.0ms (20.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.076091930251461e-5	65915.798209098
1.0ms	-72.00402195456304	-6.916338141483039e-9

Samples

7.0ms

144×

valid

Compiler

Compiled 192 to 294 computations (-53.1% saved)

Precisions

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

ival-mult: 2.0ms (58.2% of total)

ival-sub: 1.0ms (29.1% of total)

ival-add: 1.0ms (29.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify48.0ms (0.8%)

Memory

-4.6MiB live, 33.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	315
1	69	315
2	75	315
3	78	315
4	79	315

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 -5584463537939415/9007199254740992 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 350 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (fma.f64 (neg.f64 z) y z)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))))
(if (<=.f64 y #s(literal -5584463537939415/9007199254740992 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 350 binary64)) #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))))
(if (<=.f64 z #s(literal -90000000000000000 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 #s(literal 1 binary64) y) z)) (if (<=.f64 z #s(literal 7177997053961861/9444732965739290427392 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 -279999999999999990999773306804430432613854564488466590297319343406557730009579007330167074645552305918601323305711453719546161021407463437832336441344 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 #s(approx (- x z) (neg.f64 z)) y)) (if (<=.f64 y #s(literal -1770887431076117/590295810358705651712 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 245000000000000 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 #s(approx (- x z) (neg.f64 z)) y)))))
(if (<=.f64 y #s(literal -1770887431076117/590295810358705651712 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 1682343059522311/147573952589676412928 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 -5584463537939415/9007199254740992 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 350 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (fma.f64 (neg.f64 z) y z)) #s(approx (+ (* x y) (* z (- 1 y))) (*.f64 (-.f64 x z) y))))
(if (<=.f64 y #s(literal -5584463537939415/9007199254740992 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 x z) y)) (if (<=.f64 y #s(literal 350 binary64)) #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))))
(if (<=.f64 z #s(literal -90000000000000000 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 (-.f64 #s(literal 1 binary64) y) z)) (if (<=.f64 z #s(literal 7177997053961861/9444732965739290427392 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 -279999999999999990999773306804430432613854564488466590297319343406557730009579007330167074645552305918601323305711453719546161021407463437832336441344 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 #s(approx (- x z) (neg.f64 z)) y)) (if (<=.f64 y #s(literal -1770887431076117/590295810358705651712 binary64)) #s(approx (+ ( x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 245000000000000 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 #s(approx (- x z) (neg.f64 z)) y)))))
(if (<=.f64 y #s(literal -1770887431076117/590295810358705651712 binary64)) #s(approx (+ (* x y) (* z (- 1 y))) (.f64 y x)) (if (<=.f64 y #s(literal 1682343059522311/147573952589676412928 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))

soundness1.2s (20.3%)

Memory

13.4MiB live, 448.7MiB allocated

Iterations

Useful iterations: 2 (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	19	92
0	26	86
1	103	86
2	685	78
0	8515	78
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
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 213 to 138 computations (35.2% saved)

preprocess66.0ms (1.1%)

Memory: 9.4MiB live, 86.0MiB allocated
Compiler: Compiled 314 to 128 computations (59.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	19	116
0	26	110
1	36	110
2	53	102
3	86	102
4	149	102
5	211	102
6	338	102
7	524	102
8	693	102
9	714	102
10	714	102
0	714	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	524	102
8	693	102
9	714	102
10	714	102
0	714	102

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (21%)

explain372.0ms (6.1%)

preprocess87.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (0.3%)

localize51.0ms (0.8%)

series8.0ms (0.1%)

simplify149.0ms (2.4%)

rewrite230.0ms (3.7%)

eval54.0ms (0.9%)

prune12.0ms (0.2%)

simplify23.0ms (0.4%)

localize282.0ms (4.6%)

series152.0ms (2.5%)

simplify130.0ms (2.1%)

rewrite357.0ms (5.8%)

eval173.0ms (2.8%)

prune53.0ms (0.9%)

simplify49.0ms (0.8%)

localize48.0ms (0.8%)

series44.0ms (0.7%)

simplify153.0ms (2.5%)

rewrite520.0ms (8.5%)

eval283.0ms (4.6%)

prune17.0ms (0.3%)

regimes18.0ms (0.3%)

regimes15.0ms (0.2%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

bsearch41.0ms (0.7%)

bsearch2.0ms (0%)

bsearch56.0ms (0.9%)

bsearch48.0ms (0.8%)

bsearch15.0ms (0.2%)

simplify48.0ms (0.8%)

soundness1.2s (20.3%)

preprocess66.0ms (1.1%)

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	524	102
8	693	102
9	714	102
10	714	102
0	714	102