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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 9 computations (0% saved)

sample793.0ms (14.1%)

Memory

-7.2MiB live, 1 234.6MiB allocated

Samples

563.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-add: 79.0ms (41.2% of total)

ival-mult: 58.0ms (30.2% of total)

ival-sub: 41.0ms (21.4% of total)

ival-true: 5.0ms (2.6% of total)

exact: 5.0ms (2.6% of total)

ival-assert: 3.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain58.0ms (1%)

Memory

-3.0MiB live, 156.9MiB allocated

FPErrors

Click to see full error table

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

25.0ms

512×

valid

Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions

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

ival-sub: 3.0ms (31.2% of total)

ival-add: 3.0ms (31.2% of total)

ival-mult: 3.0ms (31.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess271.0ms (4.8%)

Memory

20.5MiB live, 98.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	69	64
2	233	63
3	891	63
4	2932	63
5	4869	63
6	5817	63
7	6075	63
8	6127	63
9	6150	63
10	6153	63
11	6216	63
12	6224	63
13	6224	63
14	6224	63
15	6262	63
16	6262	63
0	7	7
0	10	7
1	16	7
2	34	7
3	74	7
4	219	7
5	508	7
6	826	7
7	1312	7
8	1906	7
9	2021	7
10	2021	7
0	2021	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 7 computations (0% saved)

simplify179.0ms (3.2%)

Memory

8.2MiB live, 51.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	16	17
2	34	17
3	74	17
4	219	17
5	508	17
6	826	17
7	1312	17
8	1906	17
9	2021	17
10	2021	17
0	2021	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize151.0ms (2.7%)

Memory

-28.1MiB live, 50.4MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

146.0ms

256×

valid

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

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

ival-add: 2.0ms (41.6% of total)

ival-mult: 2.0ms (41.6% of total)

ival-sub: 1.0ms (20.8% 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

15.7MiB live, 15.7MiB allocated

Counts

3 → 72

Calls

Call 1

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

Inputs

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

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

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

Outputs
#s(alt (+ x y) (taylor 0 z) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x y))) (taylor -inf z) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<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 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<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 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<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 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<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 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<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 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<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) (- 1 z)) (+ x y) (- 1 z))
0.0ms	z	@	-inf	((* (+ x y) (- 1 z)) (+ x y) (- 1 z))
0.0ms	z	@	inf	((* (+ x y) (- 1 z)) (+ x y) (- 1 z))
0.0ms	x	@	inf	((* (+ x y) (- 1 z)) (+ x y) (- 1 z))
0.0ms	y	@	-inf	((* (+ x y) (- 1 z)) (+ x y) (- 1 z))

simplify107.0ms (1.9%)

Memory

-7.9MiB live, 187.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	407
1	213	326
2	694	326
3	2377	326
4	5830	326
0	8074	326

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 66

Calls

Call 1

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

rewrite176.0ms (3.1%)

Memory

-2.5MiB live, 313.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	41	13
2	307	13
3	4064	13
0	9653	13

Stop Event

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

Counts

3 → 835

Calls

Call 1

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

Outputs
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eval119.0ms (2.1%)

Memory: 28.2MiB live, 261.4MiB allocated
Compiler: Compiled 31 898 to 2 749 computations (91.4% saved)

prune63.0ms (1.1%)

Memory

-19.8MiB live, 58.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	895	6	901
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	896	6	902

Accuracy

100.0%

Counts

902 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
▶	100.0%	(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
▶	51.0%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
▶	50.7%	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
▶	51.0%	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
▶	53.4%	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))

Compiler

Compiled 84 to 78 computations (7.1% saved)

simplify109.0ms (1.9%)

Memory

7.9MiB live, 61.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 z)
cost-diff	0	#s(approx (- 1 z) (neg.f64 z))
cost-diff	0	(+.f64 x y)
cost-diff	0	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) z) y)
cost-diff	0	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
cost-diff	0	(-.f64 #s(literal 1 binary64) z)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
cost-diff	0	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
cost-diff	0	(+.f64 y x)
cost-diff	0	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
cost-diff	0	(neg.f64 z)
cost-diff	0	(+.f64 y x)
cost-diff	192	(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	105
0	28	105
1	47	103
2	99	103
3	229	103
4	495	103
5	773	103
6	1277	103
7	1694	103
8	1826	103
9	1954	103
10	1964	103
11	1966	103
12	1969	103
13	1971	103
0	1971	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize83.0ms (1.5%)

Memory

-2.4MiB live, 75.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	0.015625	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
accuracy	31.320008355039246	#s(approx (- 1 z) (neg.f64 z))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) z) y)
accuracy	31.3839659151427	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy	29.820848667236437	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
accuracy	0	(+.f64 y x)
accuracy	31.52282294641578	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
accuracy	0	(+.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	0.00390625	(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))

Samples

73.0ms

256×

valid

Compiler

Compiled 164 to 31 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 26.0ms (81.3% of total)

ival-add: 4.0ms (12.5% of total)

ival-sub: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% of total)

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

exact: 0.0ms (0% of total)

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

series50.0ms (0.9%)

Memory

3.4MiB live, 42.0MiB allocated

Counts

12 → 312

Calls

Call 1

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

Outputs
#s(alt (+ x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
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#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 z)) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<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 (* -1 z))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<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 (* -1 (* x (- z 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 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) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 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) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 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) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) 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) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) 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) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) 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) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<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
34.0ms	x	@	0	((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z))
2.0ms	x	@	inf	((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z))
1.0ms	z	@	inf	((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z))
1.0ms	z	@	-inf	((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z))
1.0ms	y	@	-inf	((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z))

simplify170.0ms (3%)

Memory

16.3MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	120	2083
1	408	1606
2	1232	1606
3	3815	1606
4	7253	1606
0	8018	1606

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 298

Calls

Call 1

Inputs
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
y
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* y z))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x y)))
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rewrite228.0ms (4.1%)

Memory

10.5MiB live, 162.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	83
0	28	83
1	92	81
2	833	81
0	8320	81

Stop Event

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

Counts

12 → 717

Calls

Call 1

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

Outputs
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eval223.0ms (4%)

Memory: 7.9MiB live, 196.6MiB allocated
Compiler: Compiled 24 801 to 2 133 computations (91.4% saved)

prune56.0ms (1%)

Memory

-26.6MiB live, 67.1MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1 219	7	1 226
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 223	9	1 232

Accuracy

100.0%

Counts

1 232 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	51.0%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
	51.0%	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y))
▶	53.4%	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
✓	50.7%	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
▶	28.0%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
▶	27.9%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
▶	25.5%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
▶	27.4%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))

Compiler

Compiled 99 to 106 computations (-7.1% saved)

simplify84.0ms (1.5%)

Memory

-7.5MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	148
0	27	148
1	45	148
2	76	148
3	162	148
4	373	148
5	902	148
6	1517	148
7	1998	148
8	2296	148
9	2449	148
10	2457	148
11	2461	148
12	2467	148
13	2471	148
0	2471	148

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize66.0ms (1.2%)

Memory

3.2MiB live, 40.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.0078125	(*.f64 #s(approx (- 1 z) (neg.f64 z)) y)
accuracy	31.320008355039246	#s(approx (- 1 z) (neg.f64 z))
accuracy	31.3839659151427	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
accuracy	0	(neg.f64 z)
accuracy	0.01171875	(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
accuracy	29.820848667236437	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy	31.320008355039246	#s(approx (- 1 z) (neg.f64 z))
accuracy	0.0078125	(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
accuracy	31.3839659151427	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
accuracy	31.591607352809863	#s(approx (- 1 z) #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
accuracy	29.820848667236437	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
accuracy	31.591607352809863	#s(approx (- 1 z) #s(literal 1 binary64))
accuracy	0	(fma.f64 (neg.f64 z) x x)
accuracy	0	(neg.f64 z)
accuracy	29.820848667236437	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))

Samples

56.0ms

256×

valid

Compiler

Compiled 168 to 31 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-add: 32.0ms (73.8% of total)

ival-mult: 9.0ms (20.7% of total)

ival-sub: 1.0ms (2.3% of total)

ival-neg: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.3%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

13 → 336

Calls

Call 1

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

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

Calls

9 calls:

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

simplify153.0ms (2.7%)

Memory

-19.1MiB live, 96.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	2368
1	252	1828
2	765	1828
3	2259	1828
4	7098	1828
0	8277	1828

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 331

Calls

Call 1

Inputs
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
y
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
y
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
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rewrite379.0ms (6.8%)

Memory

16.5MiB live, 296.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	123
0	27	123
1	80	123
2	493	123
3	6423	123
0	8952	123

Stop Event

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

Counts

13 → 173

Calls

Call 1

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

Outputs
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eval101.0ms (1.8%)

Memory: -25.6MiB live, 148.2MiB allocated
Compiler: Compiled 6 141 to 717 computations (88.3% saved)

prune15.0ms (0.3%)

Memory

8.2MiB live, 46.4MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	608	0	608
Fresh	0	2	2
Picked	0	5	5
Done	0	2	2
Total	608	9	617

Accuracy

100.0%

Counts

617 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.5%	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	51.0%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
▶	51.0%	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y))
✓	53.4%	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
✓	50.7%	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
✓	28.0%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
✓	27.9%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	25.5%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
✓	27.4%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))

Compiler

Compiled 55 to 59 computations (-7.3% saved)

simplify73.0ms (1.3%)

Memory

5.7MiB live, 43.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
0	19	51
1	38	51
2	70	51
3	155	51
4	375	51
5	884	51
6	1471	51
7	1915	51
8	2148	51
9	2223	51
10	2230	51
11	2232	51
12	2235	51
13	2237	51
0	2237	51

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.7%)

Memory

-7.7MiB live, 75.3MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.01171875	(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
accuracy	1.0078014904222408	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy	31.320008355039246	#s(approx (- 1 z) (neg.f64 z))
accuracy	0	(fma.f64 (neg.f64 z) y y)
accuracy	0	(neg.f64 z)
accuracy	31.3839659151427	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y))

Samples

29.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 81 to 24 computations (70.4% saved)

Precisions

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

ival-mult: 9.0ms (60.2% of total)

ival-add: 4.0ms (26.7% of total)

ival-sub: 1.0ms (6.7% of total)

ival-neg: 1.0ms (6.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

-16.5MiB live, 21.6MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

9 calls:

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

simplify110.0ms (2%)

Memory

36.9MiB live, 157.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	82	968
1	275	752
2	820	752
3	2381	752
4	7272	752
0	8441	752

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 142

Calls

Call 1

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

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

rewrite164.0ms (2.9%)

Memory

1.1MiB live, 193.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
0	19	44
1	85	44
2	645	44
0	8382	44

Stop Event

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

Counts

6 → 260

Calls

Call 1

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

Outputs
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eval84.0ms (1.5%)

Memory: -14.4MiB live, 149.6MiB allocated
Compiler: Compiled 8 282 to 959 computations (88.4% saved)

prune34.0ms (0.6%)

Memory

5.2MiB live, 44.4MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	497	0	497
Fresh	0	0	0
Picked	0	2	2
Done	0	7	7
Total	497	9	506

Accuracy

100.0%

Counts

506 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	51.0%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
✓	51.0%	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y))
✓	53.4%	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
✓	50.7%	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
✓	28.0%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
✓	27.9%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	25.5%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
✓	27.4%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))

Compiler

Compiled 148 to 91 computations (38.5% saved)

regimes33.0ms (0.6%)

Memory

-17.6MiB live, 63.9MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	(+.f64 x y)
7.0ms	x
5.0ms	y
5.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
5.0ms	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 #s(literal 1 binary64) z))`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes26.0ms (0.5%)

Memory

26.7MiB live, 63.6MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	z
4.0ms	y
4.0ms	(+.f64 x y)
4.0ms	x
4.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) z))`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes27.0ms (0.5%)

Memory

-20.9MiB live, 61.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
84.5%	2	`x`
83.3%	2	`y`
98.3%	3	`z`
86.3%	4	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
98.8%	2	`(+.f64 x y)`
98.3%	3	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes4.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
98.8%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes3.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
98.8%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes19.0ms (0.3%)

Memory

-28.9MiB live, 48.0MiB allocated

Counts

6 → 5

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	(+.f64 x y)
3.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
3.0ms	y
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
69.8%	3	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
70.0%	3	`y`
70.8%	3	`x`
78.4%	3	`z`
78.4%	3	`(-.f64 #s(literal 1 binary64) z)`
82.1%	5	`(+.f64 x y)`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes7.0ms (0.1%)

Memory

22.3MiB live, 22.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.6%	3	`z`
77.6%	3	`(-.f64 #s(literal 1 binary64) z)`
61.4%	6	`(+.f64 x y)`

Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes5.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
75.4%	3	`z`
75.4%	3	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 4 to 8 computations (-100% saved)

regimes13.0ms (0.2%)

Memory

-4.1MiB live, 34.2MiB allocated

Accuracy

Total -31.0b remaining (-98.2%)

Threshold costs -31b (-98.2%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

3.0ms	(-.f64 #s(literal 1 binary64) z)
2.0ms	x
2.0ms	z
2.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
2.0ms	y

Results

Accuracy	Segments	Branch
50.7%	1	`(+.f64 x y)`
50.7%	1	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
50.7%	1	`y`
50.7%	1	`x`
50.7%	1	`z`
50.7%	1	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.8554548962543816e-261	3.1084826692611887e-277

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.8554548962543816e-261	3.1084826692611887e-277

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.8554548962543816e-261	3.1084826692611887e-277

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	6.925143820547161e+160	7.87989457153618e+167
0.0ms	5.133874278384262e+86	3.9732380687849576e+89
0.0ms	9.283079738010175e+48	2.466773574043852e+49
0.0ms	-8.58422398452918e-201	-2.4856680441057246e-244

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.53191910193852	4797906665.235321
0.0ms	-5326.237129968778	0.9875446404286753

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	68100757709248520.0	1926202945766263600.0
0.0ms	-5326.237129968778	0.9875446404286753

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify143.0ms (2.6%)

Memory

-3.9MiB live, 74.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	298
1	81	298
2	101	298
3	143	298
4	296	298
5	607	298
6	1049	298
7	3106	298
8	5285	298
9	6864	298
10	7804	298

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -8863311460481781/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)))
(if (<=.f64 (+.f64 x y) #s(literal -8863311460481781/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal -8863311460481781/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal -1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (+.f64 x y) #s(literal 9999999999999999464902769475481793196872414789632 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 (+.f64 x y) #s(literal 999999999999999959416724456350362731491996089648451439669739009806703922950954425516032 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (if (<=.f64 (+.f64 x y) #s(literal 100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 binary64)) #s(approx ( (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #s(approx ( (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5000 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5000 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 100000000000000000 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))

Outputs
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
(fma.f64 (+.f64 x y) (neg.f64 z) (+.f64 x y))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -8863311460481781/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) y y)))
(if (<=.f64 (+.f64 x y) #s(literal -8863311460481781/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal -8863311460481781/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal -1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (+.f64 x y) #s(literal 9999999999999999464902769475481793196872414789632 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 (+.f64 x y) #s(literal 999999999999999959416724456350362731491996089648451439669739009806703922950954425516032 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (if (<=.f64 (+.f64 x y) #s(literal 100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 binary64)) #s(approx ( (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #s(approx ( (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))))))
(if (<=.f64 (+.f64 x y) #s(literal -1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (+.f64 x y) #s(literal 9999999999999999464902769475481793196872414789632 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 x y)) (if (or (<=.f64 (+.f64 x y) #s(literal 999999999999999959416724456350362731491996089648451439669739009806703922950954425516032 binary64)) (not (<=.f64 (+.f64 x y) #s(literal 100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 binary64)))) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #s(approx ( (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5000 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5000 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5000 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 100000000000000000 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))))
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5000 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 100000000000000000 binary64)))) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #s(approx ( (+ x y) (- 1 z)) (+.f64 x y)))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (+.f64 x y))

soundness948.0ms (16.9%)

Memory

17.6MiB live, 639.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	2083
1	408	1606
2	1232	1606
3	3815	1606
4	7253	1606
0	8018	1606
0	19	83
0	28	83
1	92	81
2	833	81
0	8320	81
0	65	407
1	213	326
2	694	326
3	2377	326
4	5830	326
0	8074	326
0	7	13
0	10	13
1	41	13
2	307	13
3	4064	13
0	9653	13

Stop Event

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

Compiler

Compiled 290 to 193 computations (33.4% saved)

preprocess207.0ms (3.7%)

Memory: -41.4MiB live, 224.3MiB allocated
Remove: (sort x y)
Compiler: Compiled 428 to 172 computations (59.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample793.0ms (14.1%)

explain58.0ms (1%)

preprocess271.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify179.0ms (3.2%)

localize151.0ms (2.7%)

series5.0ms (0.1%)

simplify107.0ms (1.9%)

rewrite176.0ms (3.1%)

eval119.0ms (2.1%)

prune63.0ms (1.1%)

simplify109.0ms (1.9%)

localize83.0ms (1.5%)

series50.0ms (0.9%)

simplify170.0ms (3%)

rewrite228.0ms (4.1%)

eval223.0ms (4%)

prune56.0ms (1%)

simplify84.0ms (1.5%)

localize66.0ms (1.2%)

series15.0ms (0.3%)

simplify153.0ms (2.7%)

rewrite379.0ms (6.8%)

eval101.0ms (1.8%)

prune15.0ms (0.3%)

simplify73.0ms (1.3%)

localize37.0ms (0.7%)

series10.0ms (0.2%)

simplify110.0ms (2%)

rewrite164.0ms (2.9%)

eval84.0ms (1.5%)

prune34.0ms (0.6%)

regimes33.0ms (0.6%)

regimes26.0ms (0.5%)

regimes27.0ms (0.5%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes19.0ms (0.3%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes13.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify143.0ms (2.6%)

soundness948.0ms (16.9%)

preprocess207.0ms (3.7%)

end0.0ms (0%)

Profiling