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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample765.0ms (15.9%)

Memory

19.6MiB live, 882.9MiB allocated

Samples

531.0ms	8 254×	0	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 340.0ms

ival-add: 268.0ms (78.8% of total)

ival-mult: 57.0ms (16.8% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain346.0ms (7.2%)

Memory

-165.2MiB live, 85.3MiB 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

316.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

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

ival-add: 5.0ms (51.8% of total)

ival-mult: 3.0ms (31.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess168.0ms (3.5%)

Memory

3.1MiB live, 47.1MiB 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: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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

7.9MiB live, 7.9MiB 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)

localize21.0ms (0.4%)

Memory

-7.2MiB live, 29.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 z #s(literal 1 binary64))
accuracy	0	(+.f64 x y)
accuracy	0.021816259768442016	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Samples

13.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-add: 3.0ms (63% of total)

ival-mult: 2.0ms (42% 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

10.3MiB live, 10.3MiB 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	x	@	-inf	((* (+ x y) (+ z 1)) (+ x y) (+ z 1))

simplify144.0ms (3%)

Memory

-3.3MiB live, 115.9MiB 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)

rewrite156.0ms (3.2%)

Memory

18.5MiB live, 245.6MiB 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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eval152.0ms (3.2%)

Memory: -2.6MiB live, 206.1MiB allocated
Compiler: Compiled 9 493 to 1 142 computations (88% saved)

prune13.0ms (0.3%)

Memory

-1.6MiB live, 34.9MiB 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
	99.2%	(fma.f64 (+.f64 #s(literal 1 binary64) z) x (fma.f64 z y y))
▶	100.0%	(+.f64 (fma.f64 z (+.f64 y x) y) x)
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
▶	49.3%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
▶	52.8%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
▶	46.0%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
▶	55.3%	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))

Compiler

Compiled 81 to 75 computations (7.4% saved)

simplify10.0ms (0.2%)

Memory

-28.5MiB live, 9.7MiB 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) y)
cost-diff	64	(+.f64 (fma.f64 z (+.f64 y x) y) x)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	96
0	25	96
1	52	95
2	78	95
3	123	95
4	209	95
5	209	95
0	209	95

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize41.0ms (0.8%)

Memory

25.0MiB live, 62.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y x)
accuracy	0.01953125	(*.f64 z (+.f64 y x))
accuracy	28.605582474930706	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
accuracy	0	(fma.f64 z y y)
accuracy	32.456496417534794	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
accuracy	0	(fma.f64 z x x)
accuracy	30.21026636322767	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
accuracy	0	(+.f64 y x)
accuracy	34.557443255782665	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
accuracy	0	(+.f64 (fma.f64 z (+.f64 y x) y) x)
accuracy	0	(+.f64 y x)
accuracy	0.0078125	(fma.f64 z (+.f64 y x) y)

Samples

31.0ms

256×

valid

Compiler

Compiled 82 to 17 computations (79.3% saved)

Precisions

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

ival-add: 8.0ms (54.6% of total)

ival-mult: 6.0ms (40.9% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (1%)

Memory

-23.8MiB live, 21.9MiB allocated

Counts

10 → 324

Calls

Call 1

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

simplify130.0ms (2.7%)

Memory

15.4MiB live, 128.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	2106
1	491	1836
2	1507	1836
3	4125	1836
4	7449	1836
0	8104	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))))
y
(+ y (* z (+ x y)))
(+ y (* z (+ x y)))
(+ y (* z (+ x y)))
(+ x y)
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
(+ x y)
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
(+ x (+ y (* z (+ x y))))
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 (/ y z))))
(* z (+ x (+ y (/ y z))))
(* z (+ x (+ 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 (+ (/ 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 (/ y z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 (+ x 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))
(* -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 z)
(+ (* x z) (* y (+ 1 z)))
(+ (* x z) (* y (+ 1 z)))
(+ (* x z) (* y (+ 1 z)))
x
(+ x y)
(+ x y)
(+ x y)
(* x (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* y (+ 1 z))
(* y (+ 1 z))
(* y (+ 1 z))
(* y (+ 1 z))
(* x (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(* y (+ 1 z))
(* y (+ 1 (+ z (+ (/ x y) (/ (* x z) y)))))
(* y (+ 1 (+ z (+ (/ x y) (/ (* x z) y)))))
(* y (+ 1 (+ z (+ (/ x y) (/ (* x z) y)))))
(* y (+ 1 z))
(* y (+ 1 (+ z (/ (* x z) y))))
(* y (+ 1 (+ z (/ (* x z) y))))
(* y (+ 1 (+ z (/ (* 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)))
(* -1 (* y (- (* -1 z) 1)))
(* -1 (* y (- (+ (* -1 z) (* -1 (/ (* x z) y))) 1)))
(* -1 (* y (- (+ (* -1 z) (* -1 (/ (* x z) y))) 1)))
(* -1 (* y (- (+ (* -1 z) (* -1 (/ (* x z) y))) 1)))
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 (* y z))
(+ y (+ (* x z) (* y z)))
(+ y (+ (* x z) (* y z)))
(+ y (+ (* x 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 z)
(* x (+ z (+ (/ y x) (/ (* y z) x))))
(* x (+ z (+ (/ y x) (/ (* y z) x))))
(* x (+ z (+ (/ y x) (/ (* 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)))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (+ y (* y z)) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (+ y (* y z)) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (+ y (* y z)) x)))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* x (+ 1 z))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* x (+ 1 z))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -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))
y
(+ y (* z (+ x y)))
(fma.f64 z (+.f64 y x) y)
(+ y (* z (+ x y)))
(fma.f64 z (+.f64 y x) y)
(+ y (* z (+ x y)))
(fma.f64 z (+.f64 y x) 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))
(+ 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 (/ y z))))
(fma.f64 z (+.f64 y x) y)
(* z (+ x (+ y (/ y z))))
(fma.f64 z (+.f64 y x) y)
(* z (+ x (+ y (/ y z))))
(fma.f64 z (+.f64 y x) y)
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ 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))

rewrite214.0ms (4.4%)

Memory

27.0MiB live, 180.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	78
0	25	78
1	125	77
2	1039	77
0	8585	77

Stop Event

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

Counts

10 → 831

Calls

Call 1

Inputs
(+.f64 (fma.f64 z (+.f64 y x) y) x)
(fma.f64 z (+.f64 y x) y)
(+.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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eval420.0ms (8.7%)

Memory: 4.0MiB live, 270.6MiB allocated
Compiler: Compiled 30 799 to 2 661 computations (91.4% saved)

prune176.0ms (3.7%)

Memory

-19.9MiB live, 108.3MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 263	3	1 266
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	1 264	9	1 273

Accuracy

100.0%

Counts

1 273 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (fma.f64 z (+.f64 y x) y) x)
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
✓	49.3%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
▶	54.5%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x (*.f64 y z)))
✓	52.8%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
✓	46.0%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
✓	55.3%	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
▶	30.6%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
▶	27.6%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))

Compiler

Compiled 52 to 52 computations (0% saved)

simplify7.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize86.0ms (1.8%)

Memory

8.6MiB live, 47.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y z)
accuracy	0.5039007452111204	(fma.f64 z x (*.f64 y z))
accuracy	28.605582474930706	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x (*.f64 y z)))
accuracy	0	(*.f64 z y)
accuracy	28.324496441362125	#s(approx (+ (* z y) y) (*.f64 z y))
accuracy	32.456496417534794	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
accuracy	0	(*.f64 z x)
accuracy	28.36668324352303	#s(approx (+ (* z x) x) (*.f64 z x))
accuracy	30.21026636322767	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))

Samples

77.0ms

256×

valid

Compiler

Compiled 56 to 15 computations (73.2% saved)

Precisions

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

ival-add: 6.0ms (48.6% of total)

ival-mult: 6.0ms (48.6% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.6%)

Memory

-13.2MiB live, 24.5MiB allocated

Counts

9 → 264

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((* (+ x y) (+ z 1)) (+ (* z x) x) (* z x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* z y) (+ (* z x) (* y z)) (* (+ x y) (+ z 1)) (* y z))
1.0ms	y	@	0	((* (+ x y) (+ z 1)) (+ (* z x) x) (* z x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* z y) (+ (* z x) (* y z)) (* (+ x y) (+ z 1)) (* y z))
1.0ms	z	@	-inf	((* (+ x y) (+ z 1)) (+ (* z x) x) (* z x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* z y) (+ (* z x) (* y z)) (* (+ x y) (+ z 1)) (* y z))
1.0ms	z	@	inf	((* (+ x y) (+ z 1)) (+ (* z x) x) (* z x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* z y) (+ (* z x) (* y z)) (* (+ x y) (+ z 1)) (* y z))
1.0ms	y	@	-inf	((* (+ x y) (+ z 1)) (+ (* z x) x) (* z x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* z y) (+ (* z x) (* y z)) (* (+ x y) (+ z 1)) (* y z))

simplify155.0ms (3.2%)

Memory

24.6MiB live, 103.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 262

Calls

Call 1

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

rewrite193.0ms (4%)

Memory

-28.7MiB live, 127.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	81
0	24	81
1	104	79
2	725	79
0	8581	75

Stop Event

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

Counts

9 → 99

Calls

Call 1

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

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

eval61.0ms (1.3%)

Memory: 16.1MiB live, 52.0MiB allocated
Compiler: Compiled 3 593 to 349 computations (90.3% saved)

prune50.0ms (1%)

Memory

-1.1MiB live, 35.4MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	361	0	361
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	361	9	370

Accuracy

100.0%

Counts

370 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (fma.f64 z (+.f64 y x) y) x)
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
✓	49.3%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
✓	54.5%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x (*.f64 y z)))
✓	52.8%	#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
✓	46.0%	#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
✓	55.3%	#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
✓	30.6%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y)))
✓	27.6%	#s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z x) x) (*.f64 z x)))

Compiler

Compiled 113 to 80 computations (29.2% saved)

regimes85.0ms (1.8%)

Memory

-16.6MiB live, 53.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

6 calls:

66.0ms	z
4.0ms	(+.f64 x y)
4.0ms	y
4.0ms	x
4.0ms	(*.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)

regimes39.0ms (0.8%)

Memory

-3.9MiB live, 33.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

23.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
3.0ms	(+.f64 x y)
3.0ms	x
3.0ms	y
3.0ms	z

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)

regimes50.0ms (1%)

Memory

-9.6MiB live, 28.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

6 calls:

35.0ms	x
3.0ms	y
3.0ms	(+.f64 x y)
3.0ms	z
3.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
85.8%	3	`x`
81.8%	2	`y`
97.6%	3	`z`
87.6%	4	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
98.1%	2	`(+.f64 x y)`
97.6%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes52.0ms (1.1%)

Memory

1.7MiB live, 37.1MiB allocated

Counts

4 → 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))

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

Calls

6 calls:

41.0ms	y
2.0ms	(+.f64 x y)
2.0ms	x
2.0ms	z
2.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
70.6%	3	`y`
70.0%	2	`x`
66.4%	3	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
75.2%	4	`z`
75.2%	4	`(+.f64 z #s(literal 1 binary64))`
79.6%	2	`(+.f64 x y)`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes6.0ms (0.1%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

3 → 4

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 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)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
75.2%	4	`z`
75.2%	4	`(+.f64 z #s(literal 1 binary64))`
59.1%	3	`(+.f64 x y)`

Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes19.0ms (0.4%)

Memory

-27.1MiB live, 19.8MiB 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

4 calls:

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

Results

Accuracy	Segments	Branch
49.2%	3	`y`
46.0%	1	`x`
70.2%	3	`z`
70.2%	3	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 6 to 14 computations (-133.3% saved)

regimes7.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB 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

5 calls:

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

Results

Accuracy	Segments	Branch
46.0%	1	`y`
46.0%	1	`(+.f64 x y)`
46.0%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
46.0%	1	`z`
46.0%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 15 to 22 computations (-46.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.0077132398284886e-273	1.0958951744423473e-247

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	-3.0077132398284886e-273	1.0958951744423473e-247

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	86.69437693757384	859.0506639403094
0.0ms	-467711.9095898312	0.9991718316307219
0.0ms	-4.531465164817307e+93	-2.913223039903789e+90

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.7625968479165117e+33	1.6567381323528605e+34
0.0ms	-467711.9095898312	0.9991718316307219

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify61.0ms (1.3%)

Memory

-0.4MiB live, 36.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	228
1	55	228

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (fma.f64 z (+.f64 y x) y) x)
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -152270531428125/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 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 -152270531428125/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x 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 -4000000000000000173509187898476744293161173299807757247167095157344467251558724443765295022080 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 -400000 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 100 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 -400000 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 4999999999999999727876154935214080 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) y) x)
(+.f64 (fma.f64 z (+.f64 x y) y) x)
(*.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 -152270531428125/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 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 -152270531428125/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))))
(if (<=.f64 (+.f64 x y) #s(literal -152270531428125/76135265714062492815260799905274908678720522324960996303655519196976161646612703925512617702203205150197694658057880220183274764571899172238890525752442604840088107030909945545865544183516044127756246824056393584950668733792147460513643465745851293850216709399252168336576785859311828992 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 y z))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -4000000000000000173509187898476744293161173299807757247167095157344467251558724443765295022080 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 -400000 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 100 binary64)) #s(approx ( (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (+ (* z y) y) (*.f64 z y))))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -4000000000000000173509187898476744293161173299807757247167095157344467251558724443765295022080 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 -400000 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 100 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 -400000 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 4999999999999999727876154935214080 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 -400000 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 4999999999999999727876154935214080 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))

soundness989.0ms (20.6%)

Memory

-2.8MiB live, 519.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	46	13
2	367	13
3	5570	13
0	8646	13
0	59	376
1	219	322
2	731	322
3	2474	322
4	4943	322
5	7626	322
0	8207	316
0	133	2106
1	491	1836
2	1507	1836
3	4125	1836
4	7449	1836
0	8104	1734

Stop Event

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

Compiler

Compiled 174 to 101 computations (42% saved)

preprocess104.0ms (2.2%)

Memory: -2.4MiB live, 150.1MiB allocated
Compiler: Compiled 306 to 136 computations (55.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample765.0ms (15.9%)

explain346.0ms (7.2%)

preprocess168.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize21.0ms (0.4%)

series5.0ms (0.1%)

simplify144.0ms (3%)

rewrite156.0ms (3.2%)

eval152.0ms (3.2%)

prune13.0ms (0.3%)

simplify10.0ms (0.2%)

localize41.0ms (0.8%)

series47.0ms (1%)

simplify130.0ms (2.7%)

rewrite214.0ms (4.4%)

eval420.0ms (8.7%)

prune176.0ms (3.7%)

simplify7.0ms (0.2%)

localize86.0ms (1.8%)

series28.0ms (0.6%)

simplify155.0ms (3.2%)

rewrite193.0ms (4%)

eval61.0ms (1.3%)

prune50.0ms (1%)

regimes85.0ms (1.8%)

regimes39.0ms (0.8%)

regimes50.0ms (1%)

regimes52.0ms (1.1%)

regimes6.0ms (0.1%)

regimes19.0ms (0.4%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify61.0ms (1.3%)

soundness989.0ms (20.6%)

preprocess104.0ms (2.2%)

end0.0ms (0%)

Profiling