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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

-37.4MiB live, 1.5MiB 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)

sample770.0ms (17.4%)

Memory

38.4MiB live, 1 263.8MiB allocated

Samples

492.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-mult: 123.0ms (52.4% of total)

ival-add: 97.0ms (41.3% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain60.0ms (1.4%)

Memory

2.4MiB live, 116.0MiB 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

26.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

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

ival-add: 5.0ms (48.9% of total)

ival-mult: 4.0ms (39.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess173.0ms (3.9%)

Memory

-10.8MiB live, 33.7MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 (0.1%)

Memory

10.6MiB live, 10.6MiB 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)

localize20.0ms (0.4%)

Memory

-2.8MiB live, 35.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z #s(literal 1 binary64))
accuracy	0	(+.f64 x y)
accuracy	0.01953125	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Samples

13.0ms

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 (61.9% of total)

ival-mult: 2.0ms (41.2% 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

9.8MiB live, 9.8MiB 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	z	@	inf	((* (+ x y) (+ z 1)) (+ x y) (+ z 1))
0.0ms	x	@	-inf	((* (+ x y) (+ z 1)) (+ x y) (+ z 1))
0.0ms	y	@	inf	((* (+ x y) (+ z 1)) (+ x y) (+ z 1))

simplify140.0ms (3.2%)

Memory

-1.2MiB live, 156.7MiB 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)

rewrite157.0ms (3.5%)

Memory

30.2MiB live, 247.0MiB 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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eval140.0ms (3.2%)

Memory: -7.4MiB live, 125.9MiB allocated
Compiler: Compiled 9 493 to 1 142 computations (88% saved)

prune14.0ms (0.3%)

Memory

-1.2MiB live, 35.1MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	473	6	479
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	473	7	480

Accuracy

100.0%

Counts

480 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
▶	100.0%	(+.f64 (fma.f64 z (+.f64 y x) x) y)
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
▶	51.4%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
▶	52.7%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
▶	45.7%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
▶	56.3%	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))

Compiler

Compiled 81 to 75 computations (7.4% saved)

simplify11.0ms (0.2%)

Memory

-38.6MiB live, 8.1MiB 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	(+.f64 y x)
cost-diff	0	(fma.f64 z (+.f64 y x) x)
cost-diff	64	(+.f64 (fma.f64 z (+.f64 y x) x) y)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	96
0	25	96
1	52	95
2	78	95
3	121	95
4	213	95
5	213	95
0	213	95

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize52.0ms (1.2%)

Memory

7.3MiB live, 44.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.015625	(*.f64 z (+.f64 y x))
accuracy	27.94541923913086	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
accuracy	0	(fma.f64 z y y)
accuracy	31.115028809646297	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
accuracy	0	(fma.f64 z x x)
accuracy	30.29404094671429	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
accuracy	0	(+.f64 y x)
accuracy	34.761193753179036	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
accuracy	0	(+.f64 (fma.f64 z (+.f64 y x) x) y)
accuracy	0	(+.f64 y x)
accuracy	0.01171875	(fma.f64 z (+.f64 y x) x)

Samples

27.0ms

256×

valid

Compiler

Compiled 150 to 30 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 8.0ms (52.9% of total)

ival-mult: 6.0ms (39.7% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.4%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

10 → 324

Calls

Call 1

Inputs
#s(alt (+.f64 (fma.f64 z (+.f64 y x) x) y) (patch (+.f64 (fma.f64 z (+.f64 y x) x) y) #<representation binary64>) () ())
#s(alt (fma.f64 z (+.f64 y x) x) (patch (fma.f64 z (+.f64 y x) x) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y 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 #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 (fma.f64 z x x) (patch (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
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#s(alt (* z (+ x (+ y (/ x z)))) (taylor inf z) (#s(alt (fma.f64 z (+.f64 y x) x) (patch (fma.f64 z (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (/ x z)))) (taylor inf z) (#s(alt (fma.f64 z (+.f64 y x) x) (patch (fma.f64 z (+.f64 y x) x) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 z x x) (patch (fma.f64 z x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 z x x) (patch (fma.f64 z x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 z)) (taylor -inf x) (#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 (* -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 y)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y 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)) (fma.f64 z y y)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y 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)) (fma.f64 z y y)) (patch #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 z)) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x))))) (taylor -inf x) (#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 z) (taylor -inf x) (#s(alt (.f64 z (+.f64 y x)) (patch (.f64 z (+.f64 y x)) #<representation binary64>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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
1.0ms	z	@	inf	((+ (+ (* z (+ y x)) x) y) (+ (* z (+ y x)) x) (+ y x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* z (+ y x)))
1.0ms	z	@	-inf	((+ (+ (* z (+ y x)) x) y) (+ (* z (+ y x)) x) (+ y x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* z (+ y x)))
1.0ms	y	@	-inf	((+ (+ (* z (+ y x)) x) y) (+ (* z (+ y x)) x) (+ y x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* z (+ y x)))
1.0ms	x	@	-inf	((+ (+ (* z (+ y x)) x) y) (+ (* z (+ y x)) x) (+ y x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* z (+ y x)))
1.0ms	y	@	inf	((+ (+ (* z (+ y x)) x) y) (+ (* z (+ y x)) x) (+ y x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* z (+ y x)))

simplify169.0ms (3.8%)

Memory

-9.4MiB live, 146.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	2106
1	495	1836
2	1508	1836
3	4130	1836
4	7379	1836
0	8398	1734

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 315

Calls

Call 1

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

rewrite187.0ms (4.2%)

Memory

-29.6MiB live, 311.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	78
0	25	78
1	125	77
2	1037	77
0	8579	77

Stop Event

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

Counts

10 → 820

Calls

Call 1

Inputs
(+.f64 (fma.f64 z (+.f64 y x) x) y)
(fma.f64 z (+.f64 y x) x)
(+.f64 y x)
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
(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
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eval281.0ms (6.3%)

Memory: 29.8MiB live, 256.2MiB allocated
Compiler: Compiled 30 579 to 2 639 computations (91.4% saved)

prune33.0ms (0.7%)

Memory

-6.6MiB live, 76.5MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1 251	4	1 255
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	1 252	10	1 262

Accuracy

100.0%

Counts

1 262 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (fma.f64 z (+.f64 y x) x) y)
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
▶	54.8%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
✓	51.4%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓	52.7%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
✓	45.7%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
▶	51.4%	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y))
✓	56.3%	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
▶	30.3%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
▶	30.8%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))

Compiler

Compiled 58 to 59 computations (-1.7% saved)

simplify8.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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 #s(literal 1 binary64) z)
cost-diff	0	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y))
cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) z) y)
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	23	112
0	29	112
1	51	110
2	73	110
3	118	110
4	240	110
5	288	110
6	288	110
0	288	104

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

localize72.0ms (1.6%)

Memory

-0.9MiB live, 37.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x z)
accuracy	1.0038952404222408	(fma.f64 z y (*.f64 x z))
accuracy	27.94541923913086	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
accuracy	0	(+.f64 #s(literal 1 binary64) z)
accuracy	0.00390625	(*.f64 (+.f64 #s(literal 1 binary64) z) y)
accuracy	31.115028809646297	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y))
accuracy	0	(*.f64 z y)
accuracy	27.714532805662582	#s(approx (+ (* z y) y) (*.f64 z y))
accuracy	31.115028809646297	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
accuracy	0	(*.f64 z x)
accuracy	27.73319494504131	#s(approx (+ (* z x) x) (*.f64 z x))
accuracy	30.29404094671429	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))

Samples

61.0ms

256×

valid

Compiler

Compiled 138 to 33 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 7.0ms (47.5% of total)

ival-mult: 7.0ms (47.5% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (1.1%)

Memory

-16.6MiB live, 21.0MiB allocated

Counts

12 → 336

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 (.f64 (+.f64 #s(literal 1 binary64) z) y) (patch (.f64 (+.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) z) (patch (+.f64 #s(literal 1 binary64) z) #<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 y (taylor 0 z) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) z) y) (patch (.f64 (+.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y z)) (taylor 0 z) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) z) y) (patch (.f64 (+.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y z)) (taylor 0 z) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) z) y) (patch (.f64 (+.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* y z)) (taylor 0 z) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) z) y) (patch (.f64 (+.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt 1 (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>) () ())) ())
#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 (* 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 (* y z) (taylor inf z) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) z) y) (patch (.f64 (+.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (/ y z))) (taylor inf z) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) z) y) (patch (.f64 (+.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (/ y z))) (taylor inf z) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) z) y) (patch (.f64 (+.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ y (/ y z))) (taylor inf z) (#s(alt (.f64 (+.f64 #s(literal 1 binary64) z) y) (patch (.f64 (+.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ y (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y)) #<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>) () ())) ())
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#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 (+ 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))) (taylor inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))) (taylor inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ z (/ (* y (+ 1 z)) x)))) (taylor inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) 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 (+ 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (+ z 1)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) 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)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) 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)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) 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)) (.f64 (+.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) 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
2.0ms	z	@	inf	((* (+ x y) (+ z 1)) (+ (* z x) x) (* z x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* z y) (* (+ 1 z) y) (* (+ x y) (+ z 1)) (+ 1 z) (+ (* 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) (* (+ 1 z) y) (* (+ x y) (+ z 1)) (+ 1 z) (+ (* 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) (* (+ 1 z) y) (* (+ x y) (+ z 1)) (+ 1 z) (+ (* 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) (* (+ 1 z) y) (* (+ x y) (+ z 1)) (+ 1 z) (+ (* 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) (* (+ 1 z) y) (* (+ x y) (+ z 1)) (+ 1 z) (+ (* z y) (* x z)) (* (+ x y) (+ z 1)) (* x z))

simplify152.0ms (3.4%)

Memory

10.0MiB live, 159.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1894
1	334	1678
2	1015	1678
3	3317	1678
4	5954	1678
0	8261	1591

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 331

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

rewrite160.0ms (3.6%)

Memory

6.0MiB live, 261.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	102
0	29	102
1	119	100
2	871	100
0	8424	94

Stop Event

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

Counts

12 → 203

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

Outputs
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eval107.0ms (2.4%)

Memory: -8.8MiB live, 111.0MiB allocated
Compiler: Compiled 5 998 to 740 computations (87.7% saved)

prune22.0ms (0.5%)

Memory

9.4MiB live, 48.0MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	534	0	534
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	534	10	544

Accuracy

100.0%

Counts

544 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (fma.f64 z (+.f64 y x) x) y)
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
✓	54.8%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
✓	51.4%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓	52.7%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
✓	45.7%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
✓	51.4%	#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y))
✓	56.3%	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
✓	30.3%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
✓	30.8%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))

Compiler

Compiled 125 to 89 computations (28.8% saved)

regimes49.0ms (1.1%)

Memory

-19.2MiB live, 57.9MiB allocated

Counts

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

Outputs
(+.f64 (fma.f64 z (+.f64 y x) x) y)

Calls

6 calls:

10.0ms	x
8.0ms	(+.f64 x y)
8.0ms	y
7.0ms	z
7.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

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)

regimes29.0ms (0.7%)

Memory

10.7MiB live, 53.9MiB 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)) (*.f64 (+.f64 #s(literal 1 binary64) z) y))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

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

Calls

6 calls:

6.0ms	(+.f64 z #s(literal 1 binary64))
6.0ms	y
5.0ms	(+.f64 x y)
4.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
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)

regimes49.0ms (1.1%)

Memory

-6.3MiB live, 32.4MiB allocated

Counts

8 → 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)) (*.f64 (+.f64 #s(literal 1 binary64) z) y))
#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)) (*.f64 (+.f64 #s(literal 1 binary64) z) y))

Calls

6 calls:

33.0ms	y
3.0ms	x
3.0ms	(+.f64 x y)
3.0ms	z
3.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
84.2%	2	`x`
85.7%	2	`y`
98.5%	3	`z`
86.1%	4	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
98.2%	2	`(+.f64 x y)`
98.5%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

6 → 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)))

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

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
98.2%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes13.0ms (0.3%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

4 → 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)))
#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)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
67.8%	3	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
71.2%	3	`x`
73.1%	3	`y`
79.8%	6	`z`
79.8%	6	`(+.f64 z #s(literal 1 binary64))`
82.1%	3	`(+.f64 x y)`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes6.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

3 → 6

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.8%	6	`z`
79.8%	6	`(+.f64 z #s(literal 1 binary64))`
62.2%	3	`(+.f64 x y)`

Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes12.0ms (0.3%)

Memory

-34.6MiB live, 4.4MiB 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:

10.0ms	z
1.0ms	(+.f64 z #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
73.2%	3	`z`
73.2%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 4 to 8 computations (-100% saved)

regimes8.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB 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:

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

Results

Accuracy	Segments	Branch
45.7%	1	`(+.f64 x y)`
45.7%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
45.7%	1	`x`
45.7%	1	`y`
45.7%	1	`z`
45.7%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8675455439882364e-258	3.079759827077452e-267

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8675455439882364e-258	3.079759827077452e-267

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1112549547975358e+32	9.54707140935478e+34
0.0ms	-1.8675455439882364e-258	3.079759827077452e-267

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.133715444076063e+65	6.737039842125311e+81
0.0ms	1.000000947588161	17917266.18960497
0.0ms	-227.4635245522453	0.999999986467308
0.0ms	-5.158000409779234e+154	-2.4627115032811853e+153
0.0ms	-2.0982756502590047e+217	-5.273503736681371e+215

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	413939007.2791858	2586848584694.75
0.0ms	-227.4635245522453	0.999999986467308

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify93.0ms (2.1%)

Memory

-11.9MiB live, 27.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	322
1	69	322

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (fma.f64 z (+.f64 y x) x) y)
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 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 -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 x y) #s(literal 200000000000000010732324408786944 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 -19999999999999999203710111496503539612900094584489084752976236251379344503312719734017529007804987593656193384146066220878431578296418582937435957034940955208676500285654445083383444294643727169939482492775850179559424 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 -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 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 -200 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 2 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 199999999999999998418077252567267701645512243388460910731136598016 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 z y))) #s(approx ( (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))))))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -200 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 500000000 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 (fma.f64 z (+.f64 y x) x) y)
(+.f64 (fma.f64 z (+.f64 x y) x) y)
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 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 -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 x y) #s(literal 200000000000000010732324408786944 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 x y) #s(literal -8655577598126739/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 x y) #s(literal 200000000000000010732324408786944 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 x y)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -19999999999999999203710111496503539612900094584489084752976236251379344503312719734017529007804987593656193384146066220878431578296418582937435957034940955208676500285654445083383444294643727169939482492775850179559424 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 -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 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 -200 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 2 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 199999999999999998418077252567267701645512243388460910731136598016 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 z y))) #s(approx ( (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x))))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -19999999999999999203710111496503539612900094584489084752976236251379344503312719734017529007804987593656193384146066220878431578296418582937435957034940955208676500285654445083383444294643727169939482492775850179559424 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 y z))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) #s(approx ( (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (.f64 x z))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -200 binary64)) #s(approx ( (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 y z))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 x y)) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 199999999999999998418077252567267701645512243388460910731136598016 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (.f64 y z))) #s(approx ( (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z))))))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -200 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 500000000 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 -200 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (.f64 x z))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 500000000 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 x y)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 x z)))))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) (+.f64 x y))

soundness1.2s (27.6%)

Memory

42.0MiB live, 472.5MiB 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
0	135	2106
1	495	1836
2	1508	1836
3	4130	1836
4	7379	1836
0	8398	1734
0	59	376
1	219	322
2	731	322
3	2474	322
4	4943	322
5	7626	322
0	8207	316
0	17	78
0	25	78
1	125	77
2	1037	77
0	8579	77

Stop Event

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

Compiler

Compiled 239 to 130 computations (45.6% saved)

preprocess140.0ms (3.2%)

Memory: -16.6MiB live, 146.3MiB allocated
Compiler: Compiled 404 to 160 computations (60.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample770.0ms (17.4%)

explain60.0ms (1.4%)

preprocess173.0ms (3.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize20.0ms (0.4%)

series5.0ms (0.1%)

simplify140.0ms (3.2%)

rewrite157.0ms (3.5%)

eval140.0ms (3.2%)

prune14.0ms (0.3%)

simplify11.0ms (0.2%)

localize52.0ms (1.2%)

series16.0ms (0.4%)

simplify169.0ms (3.8%)

rewrite187.0ms (4.2%)

eval281.0ms (6.3%)

prune33.0ms (0.7%)

simplify8.0ms (0.2%)

localize72.0ms (1.6%)

series49.0ms (1.1%)

simplify152.0ms (3.4%)

rewrite160.0ms (3.6%)

eval107.0ms (2.4%)

prune22.0ms (0.5%)

regimes49.0ms (1.1%)

regimes29.0ms (0.7%)

regimes49.0ms (1.1%)

regimes3.0ms (0.1%)

regimes13.0ms (0.3%)

regimes6.0ms (0.1%)

regimes12.0ms (0.3%)

regimes8.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify93.0ms (2.1%)

soundness1.2s (27.6%)

preprocess140.0ms (3.2%)

end0.0ms (0%)

Profiling