Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, G

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 9 computations (0% saved)

sample977.0ms (24.3%)

Memory

-1.9MiB live, 742.4MiB allocated

Samples

511.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 263.0ms

ival-add: 191.0ms (72.8% of total)

ival-mult: 56.0ms (21.3% of total)

ival-true: 6.0ms (2.3% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain55.0ms (1.4%)

Memory

13.1MiB live, 91.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

27.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 5.0ms (45.4% of total)

ival-mult: 5.0ms (45.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess167.0ms (4.1%)

Memory

-5.0MiB live, 33.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	108	64
2	409	63
3	1248	63
4	2953	63
5	4413	63
6	5293	63
7	5413	63
8	5423	63
9	5428	63
10	5503	63
11	5539	63
12	5539	63
13	5598	63
14	5598	63
0	7	7
0	10	7
1	21	7
2	49	7
3	96	7
4	182	7
5	224	7
6	224	7
0	224	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify6.0ms (0.2%)

Memory

6.3MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	21	17
2	49	17
3	96	17
4	182	17
5	224	17
6	224	17
0	224	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.8%)

Memory

-24.4MiB live, 28.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z #s(literal 1 binary64))
accuracy	0	(+.f64 x y)
accuracy	0.015625	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Samples

12.0ms

256×

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 3.0ms (61.5% of total)

ival-mult: 2.0ms (41% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())

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

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

Calls

9 calls:

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

simplify149.0ms (3.7%)

Memory

24.1MiB live, 137.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	376
1	219	322
2	731	322
3	2474	322
4	4943	322
5	7626	322
0	8207	316

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 64

Calls

Call 1

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

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

rewrite171.0ms (4.2%)

Memory

-15.9MiB live, 256.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	46	13
2	367	13
3	5570	13
0	8646	13

Stop Event

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

Counts

3 → 415

Calls

Call 1

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

Outputs
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eval62.0ms (1.5%)

Memory: 9.7MiB live, 160.7MiB allocated
Compiler: Compiled 9 493 to 1 142 computations (88% saved)

prune11.0ms (0.3%)

Memory

10.4MiB live, 49.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	474	5	479
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	475	5	480

Accuracy

100.0%

Counts

480 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
▶	54.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
▶	48.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
▶	49.4%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
▶	52.6%	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))

Compiler

Compiled 58 to 56 computations (3.4% saved)

simplify24.0ms (0.6%)

Memory

-24.1MiB live, 37.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 z (+.f64 y x))
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
cost-diff	0	(fma.f64 z y y)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
cost-diff	0	(fma.f64 z x x)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
cost-diff	0	(fma.f64 z x x)
cost-diff	0	(+.f64 #s(literal 1 binary64) z)
cost-diff	256	(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	96
0	26	96
1	53	94
2	91	94
3	130	94
4	191	94
5	191	94
0	191	94

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize89.0ms (2.2%)

Memory

-11.4MiB live, 66.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.0078125	(*.f64 z (+.f64 y x))
accuracy	30.304625305066036	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
accuracy	0	(fma.f64 z y y)
accuracy	29.060118108325682	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
accuracy	0	(fma.f64 z x x)
accuracy	32.91283358353985	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
accuracy	0	(+.f64 y x)
accuracy	32.38927448563254	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
accuracy	0	(fma.f64 z x x)
accuracy	0	(+.f64 #s(literal 1 binary64) z)
accuracy	0.5078069952111204	(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))

Samples

46.0ms

256×

valid

Compiler

Compiled 151 to 32 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 8.0ms (48.3% of total)

ival-mult: 8.0ms (48.3% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.4%)

Memory

34.0MiB live, 34.0MiB allocated

Counts

10 → 300

Calls

Call 1

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

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

Calls

9 calls:

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

simplify217.0ms (5.4%)

Memory

-15.1MiB live, 178.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1912
1	443	1642
2	1346	1642
3	4008	1642
4	6717	1642
0	8259	1570

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 290

Calls

Call 1

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

Outputs
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
1
#s(literal 1 binary64)
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
x
(+ x (* x z))
(fma.f64 z x x)
(+ x (* x z))
(fma.f64 z x x)
(+ x (* x z))
(fma.f64 z x x)
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
y
(+ y (* y z))
(fma.f64 z y y)
(+ y (* y z))
(fma.f64 z y y)
(+ y (* y z))
(fma.f64 z y y)
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
z
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* x z)
(*.f64 z x)
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y z)
(*.f64 z y)
(* z (+ y (/ y z)))
(fma.f64 z y y)
(* z (+ y (/ y z)))
(fma.f64 z y y)
(* z (+ y (/ y z)))
(fma.f64 z y y)
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
z
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y z)
(*.f64 z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
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rewrite221.0ms (5.5%)

Memory

20.8MiB live, 331.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	76
0	26	76
1	126	74
2	1256	74
0	8339	74

Stop Event

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

Counts

10 → 1 167

Calls

Call 1

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

Outputs
#<batchref>
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eval283.0ms (7%)

Memory: 0.6MiB live, 559.8MiB allocated
Compiler: Compiled 51 090 to 3 596 computations (93% saved)

prune43.0ms (1.1%)

Memory

-39.9MiB live, 142.1MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 589	3	1 592
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 590	7	1 597

Accuracy

100.0%

Counts

1 597 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
✓	54.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓	48.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
✓	49.4%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
✓	52.6%	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
▶	31.7%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
▶	25.4%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))

Compiler

Compiled 37 to 39 computations (-5.4% saved)

simplify7.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x z)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
cost-diff	192	(fma.f64 z y (*.f64 x z))
cost-diff	0	(*.f64 z y)
cost-diff	0	#s(approx (+ (* z y) y) (*.f64 z y))
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
cost-diff	0	(*.f64 z x)
cost-diff	0	#s(approx (+ (* z x) x) (*.f64 z x))
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	88
0	24	88
1	44	86
2	63	86
3	108	86
4	230	86
5	278	86
6	278	86
0	278	82

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize82.0ms (2%)

Memory

-20.1MiB live, 57.7MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x z)
accuracy	0.5039007452111204	(fma.f64 z y (*.f64 x z))
accuracy	30.304625305066036	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
accuracy	0	(*.f64 z y)
accuracy	29.060118108325682	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
accuracy	29.938488555663895	#s(approx (+ (* z y) y) (*.f64 z y))
accuracy	0	(*.f64 z x)
accuracy	30.18707950463268	#s(approx (+ (* z x) x) (*.f64 z x))
accuracy	32.91283358353985	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))

Samples

66.0ms

256×

valid

Compiler

Compiled 103 to 27 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-add: 49.0ms (87.3% of total)

ival-mult: 6.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.3%)

Memory

32.6MiB live, 32.6MiB allocated

Counts

9 → 264

Calls

Call 1

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

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

Calls

9 calls:

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

simplify152.0ms (3.8%)

Memory

-11.0MiB live, 142.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1466
1	323	1304
2	1002	1304
3	3059	1304
4	5999	1304
0	8088	1244

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

Calls

Call 1

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

rewrite224.0ms (5.6%)

Memory

13.0MiB live, 289.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	81
0	24	81
1	104	79
2	724	79
0	8585	75

Stop Event

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

Counts

9 → 99

Calls

Call 1

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

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

eval68.0ms (1.7%)

Memory: -11.7MiB live, 148.0MiB allocated
Compiler: Compiled 3 593 to 350 computations (90.3% saved)

prune13.0ms (0.3%)

Memory

17.1MiB live, 55.7MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	361	0	361
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	361	7	368

Accuracy

100.0%

Counts

368 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.9%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
✓	54.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓	48.6%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
✓	49.4%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
✓	52.6%	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
✓	31.7%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
✓	25.4%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))

Compiler

Compiled 90 to 65 computations (27.8% saved)

regimes27.0ms (0.7%)

Memory

-9.9MiB live, 73.7MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	(+.f64 z #s(literal 1 binary64))
5.0ms	y
4.0ms	(+.f64 x y)
4.0ms	z
4.0ms	x

Results

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

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes25.0ms (0.6%)

Memory

-7.9MiB live, 64.2MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	x
5.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
3.0ms	z
3.0ms	y
3.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
83.8%	2	`x`
85.7%	2	`y`
98.2%	3	`z`
84.5%	4	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
97.9%	2	`(+.f64 x y)`
98.2%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes18.0ms (0.5%)

Memory

6.4MiB live, 48.3MiB allocated

Counts

4 → 5

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(+.f64 x y)
2.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
68.1%	3	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
70.4%	3	`x`
69.6%	4	`y`
77.4%	3	`z`
77.4%	3	`(+.f64 z #s(literal 1 binary64))`
80.6%	5	`(+.f64 x y)`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes9.0ms (0.2%)

Memory

-9.8MiB live, 27.7MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.4%	3	`z`
77.4%	3	`(+.f64 z #s(literal 1 binary64))`
64.6%	6	`(+.f64 x y)`

Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes3.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
1.0ms	(+.f64 z #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
71.2%	3	`z`
71.2%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 4 to 8 computations (-100% saved)

regimes9.0ms (0.2%)

Memory

4.7MiB live, 44.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
49.4%	1	`(+.f64 x y)`
49.4%	1	`y`
49.4%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
49.4%	1	`x`
49.4%	1	`z`
49.4%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.837440138665774e-265	3.5907235312822284e-278

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.071797739102025e+175	5.677711190644227e+177
0.0ms	6.404441139703618e+121	2.0323721307266202e+124
0.0ms	1.2673401714645298e-175	2.0886704955550378e-162
0.0ms	3.5907235312822284e-278	4.595333605804001e-237

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	117616.29446491784	4159968.7871218044
0.0ms	-5823.942928377469	0.9999999975561142

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	17.180014603541565	117616.29446491784
0.0ms	-5823.942928377469	0.9999999975561142

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify26.0ms (0.6%)

Memory

-16.0MiB live, 67.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	254
1	59	254

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -283625966735417/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 x y) #s(literal 7983361238138879/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 x y) #s(literal 891101683129335/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 (+.f64 x y) #s(literal 100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 z y))) (if (<=.f64 (+.f64 x y) #s(literal 19999999999999998743069049246737528200546615119793746550412501356903849205370206764075153567638181693469097644589800066324224103680915737659228242480356123926769783926845079552 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -5000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 z y))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 200000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -5000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (.f64 z x))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 20 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(if (<=.f64 (+.f64 x y) #s(literal -283625966735417/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 y x) #s(literal -283625966735417/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 x y) #s(literal 7983361238138879/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 x y) #s(literal 891101683129335/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 (+.f64 x y) #s(literal 100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 z y))) (if (<=.f64 (+.f64 x y) #s(literal 19999999999999998743069049246737528200546615119793746550412501356903849205370206764075153567638181693469097644589800066324224103680915737659228242480356123926769783926845079552 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))))))
(if (<=.f64 (+.f64 y x) #s(literal 7983361238138879/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 y x) #s(literal 891101683129335/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 (+.f64 y x) #s(literal 100000000000000001440594758724527385583111862242831263013712314935498927069126131626863257625726456080505437183296233537536 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 z y))) (if (<=.f64 (+.f64 y x) #s(literal 19999999999999998743069049246737528200546615119793746550412501356903849205370206764075153567638181693469097644589800066324224103680915737659228242480356123926769783926845079552 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -5000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 z y))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 200000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -5000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 z y))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 200000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -5000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (.f64 z x))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 20 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -5000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (.f64 z x))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 20 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

soundness772.0ms (19.2%)

Memory

-15.8MiB live, 315.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1912
1	443	1642
2	1346	1642
3	4008	1642
4	6717	1642
0	8259	1570
0	59	376
1	219	322
2	731	322
3	2474	322
4	4943	322
5	7626	322
0	8207	316

Stop Event

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

Compiler

Compiled 162 to 92 computations (43.2% saved)

preprocess48.0ms (1.2%)

Memory: 21.7MiB live, 94.8MiB allocated
Remove: (sort x y)
Compiler: Compiled 294 to 128 computations (56.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample977.0ms (24.3%)

explain55.0ms (1.4%)

preprocess167.0ms (4.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.2%)

localize33.0ms (0.8%)

series5.0ms (0.1%)

simplify149.0ms (3.7%)

rewrite171.0ms (4.2%)

eval62.0ms (1.5%)

prune11.0ms (0.3%)

simplify24.0ms (0.6%)

localize89.0ms (2.2%)

series17.0ms (0.4%)

simplify217.0ms (5.4%)

rewrite221.0ms (5.5%)

eval283.0ms (7%)

prune43.0ms (1.1%)

simplify7.0ms (0.2%)

localize82.0ms (2%)

series12.0ms (0.3%)

simplify152.0ms (3.8%)

rewrite224.0ms (5.6%)

eval68.0ms (1.7%)

prune13.0ms (0.3%)

regimes27.0ms (0.7%)

regimes25.0ms (0.6%)

regimes18.0ms (0.5%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

regimes9.0ms (0.2%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify26.0ms (0.6%)

soundness772.0ms (19.2%)

preprocess48.0ms (1.2%)

end0.0ms (0%)

Profiling