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)

sample1.2s (22.9%)

Memory

-12.3MiB live, 1 146.2MiB allocated

Samples

632.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

ival-add: 78.0ms (36.9% of total)

ival-sub: 69.0ms (32.6% of total)

ival-mult: 49.0ms (23.2% of total)

ival-true: 7.0ms (3.3% of total)

exact: 5.0ms (2.4% of total)

ival-assert: 4.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain136.0ms (2.5%)

Memory

21.1MiB live, 144.1MiB 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

106.0ms

512×

valid

Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 3.0ms (31.9% of total)

ival-add: 3.0ms (31.9% of total)

ival-mult: 3.0ms (31.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess309.0ms (5.7%)

Memory

-4.4MiB live, 118.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 552×	`lower-fma.f64`
1 552×	`lower-fma.f32`
1 326×	`unsub-neg`
912×	`sub-neg`
664×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	69	64
2	233	63
3	844	63
4	2634	63
5	4455	63
6	5449	63
7	5703	63
8	5755	63
9	5778	63
10	5781	63
11	5844	63
12	5852	63
13	5852	63
14	5852	63
15	5890	63
16	5890	63
0	7	7
0	10	7
1	16	7
2	34	7
3	74	7
4	215	7
5	504	7
6	825	7
7	1314	7
8	1634	7
9	1690	7
10	1690	7
0	1690	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, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify91.0ms (1.7%)

Memory

-16.6MiB live, 59.4MiB 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))

Rules

1 552×	`lower-fma.f64`
1 552×	`lower-fma.f32`
368×	`lower-*.f32`
366×	`lower-*.f64`
344×	`lower-+.f32`

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	215	17
5	504	17
6	825	17
7	1314	17
8	1634	17
9	1690	17
10	1690	17
0	1690	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

localize42.0ms (0.8%)

Memory

-6.3MiB live, 32.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0	(+.f64 x y)
accuracy	0.0078125	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))

Samples

37.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-mult: 2.0ms (44% of total)

ival-sub: 1.0ms (22% of total)

ival-add: 1.0ms (22% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB 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	y	@	-inf	((* (+ x y) (- 1 z)) (+ x y) (- 1 z))
0.0ms	x	@	inf	((* (+ x y) (- 1 z)) (+ x y) (- 1 z))

simplify193.0ms (3.5%)

Memory

-9.7MiB live, 145.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 146×	`lower-fma.f64`
12 146×	`lower-fma.f32`
2 722×	`lower-*.f64`
2 722×	`lower-*.f32`
2 196×	`lower--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	407
1	213	326
2	683	326
3	2182	326
4	5119	326
5	7892	326
0	8645	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)

rewrite229.0ms (4.2%)

Memory

9.0MiB live, 376.3MiB allocated

Rules

5 758×	`lower-*.f32`
5 756×	`lower-*.f64`
3 972×	`lower-/.f64`
3 972×	`lower-/.f32`
2 508×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	41	13
2	307	13
3	4032	13
0	9598	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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eval109.0ms (2%)

Memory: 13.7MiB live, 278.1MiB allocated
Compiler: Compiled 31 898 to 2 749 computations (91.4% saved)

prune20.0ms (0.4%)

Memory

-14.0MiB live, 70.0MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	895	6	901
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	895	7	902

Accuracy

100.0%

Counts

902 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(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))
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
▶	43.5%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
▶	57.7%	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
▶	53.8%	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
▶	50.6%	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))

Compiler

Compiled 91 to 85 computations (6.6% saved)

simplify72.0ms (1.3%)

Memory

29.5MiB live, 68.7MiB 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))

Rules

1 728×	`lower-fma.f32`
1 726×	`lower-fma.f64`
480×	`lower-*.f32`
474×	`lower-*.f64`
384×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	105
0	28	105
1	47	103
2	99	103
3	235	103
4	492	103
5	775	103
6	1358	103
7	1585	103
8	1708	103
9	1785	103
10	1794	103
11	1796	103
12	1799	103
13	1801	103
0	1801	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

localize42.0ms (0.8%)

Memory

-23.2MiB live, 96.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 z)
accuracy	0.0078125	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
accuracy	36.074810574519226	#s(approx (- 1 z) (neg.f64 z))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) z) y)
accuracy	29.552146461741245	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
accuracy	0	(-.f64 #s(literal 1 binary64) z)
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy	31.631661970212075	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
accuracy	0	(+.f64 y x)
accuracy	27.096932598605065	#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

27.0ms

256×

valid

Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions

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

ival-mult: 7.0ms (52.3% of total)

ival-add: 3.0ms (22.4% of total)

ival-sub: 1.0ms (7.5% of total)

ival-neg: 1.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

-5.4MiB live, 33.3MiB 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>) () ())) ())
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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) x)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<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) x)) (patch #s(approx ( (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 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 0 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 0 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 0 x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* 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 (+ (* 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
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))
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))

simplify138.0ms (2.5%)

Memory

23.5MiB live, 186.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 482×	`lower-fma.f64`
13 482×	`lower-fma.f32`
2 378×	`lower-*.f64`
2 378×	`lower-*.f32`
2 166×	`lower--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	120	2083
1	408	1606
2	1146	1606
3	3602	1606
4	6933	1606
0	8114	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))
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(-.f64 #s(literal 1 binary64) z)
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(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
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rewrite169.0ms (3.1%)

Memory

-13.8MiB live, 303.5MiB allocated

Rules

6 336×	`lower-fma.f32`
6 334×	`lower-fma.f64`
4 038×	`lower-*.f32`
4 032×	`lower-*.f64`
4 026×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	83
0	28	83
1	92	81
2	833	81
0	8315	81

Stop Event

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

Counts

12 → 736

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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eval308.0ms (5.7%)

Memory: 17.4MiB live, 376.4MiB allocated
Compiler: Compiled 25 062 to 2 170 computations (91.3% saved)

prune38.0ms (0.7%)

Memory

-19.7MiB live, 102.9MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 241	6	1 247
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	1 243	11	1 254

Accuracy

100.0%

Counts

1 254 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
	42.3%	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
✓	43.5%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
▶	50.6%	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
✓	57.7%	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
✓	53.8%	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
▶	26.6%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
▶	22.3%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
▶	28.7%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
▶	30.9%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))

Compiler

Compiled 109 to 114 computations (-4.6% saved)

simplify78.0ms (1.4%)

Memory

15.9MiB live, 55.4MiB 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))

Rules

1 712×	`lower-fma.f32`
1 710×	`lower-fma.f64`
528×	`lower-*.f32`
520×	`lower-*.f64`
392×	`lower-+.f64`

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	368	148
5	888	148
6	1390	148
7	1754	148
8	1940	148
9	2028	148
10	2036	148
11	2040	148
12	2046	148
13	2050	148
0	2050	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

localize56.0ms (1%)

Memory

-23.1MiB live, 94.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.00390625	(*.f64 #s(approx (- 1 z) (neg.f64 z)) y)
accuracy	29.552146461741245	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
accuracy	36.074810574519226	#s(approx (- 1 z) (neg.f64 z))
accuracy	0	(neg.f64 z)
accuracy	0.00390625	(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
accuracy	31.631661970212075	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy	36.074810574519226	#s(approx (- 1 z) (neg.f64 z))
accuracy	0.00390625	(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
accuracy	27.284999047699603	#s(approx (- 1 z) #s(literal 1 binary64))
accuracy	29.552146461741245	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
accuracy	0.00390625	(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
accuracy	27.284999047699603	#s(approx (- 1 z) #s(literal 1 binary64))
accuracy	31.631661970212075	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
accuracy	0	(fma.f64 (neg.f64 z) x x)
accuracy	0	(neg.f64 z)
accuracy	31.631661970212075	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))

Samples

30.0ms

256×

valid

Compiler

Compiled 91 to 14 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (58.7% of total)

ival-add: 3.0ms (22% of total)

ival-sub: 1.0ms (7.3% of total)

ival-neg: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

1.2MiB live, 39.2MiB 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>) () ())) ())
#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 #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 (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#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 (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#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 (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#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 (taylor 0 z) (#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 (* x z))) (taylor 0 z) (#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 (* x z))) (taylor 0 z) (#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 (* x z))) (taylor 0 z) (#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 1 (taylor 0 z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#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 (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#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 (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#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 (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#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 y (taylor 0 z) (#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 (+ y (* -1 (* y z))) (taylor 0 z) (#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 (+ y (* -1 (* y z))) (taylor 0 z) (#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 (+ y (* -1 (* y z))) (taylor 0 z) (#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 (+ x y) (taylor 0 z) (#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 (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#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 (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#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 (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#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 (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 (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 y) (taylor 0 z) (#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 (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#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 (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#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 (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#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 y (taylor 0 z) (#s(alt (.f64 #s(approx (- 1 z) (neg.f64 z)) y) (patch (.f64 #s(approx (- 1 z) (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (.f64 #s(approx (- 1 z) (neg.f64 z)) y) (patch (.f64 #s(approx (- 1 z) (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (.f64 #s(approx (- 1 z) (neg.f64 z)) y) (patch (.f64 #s(approx (- 1 z) (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (.f64 #s(approx (- 1 z) (neg.f64 z)) y) (patch (.f64 #s(approx (- 1 z) (neg.f64 z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x y))) (taylor inf 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 (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf 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 (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf 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 (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf 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 (* -1 (* x z)) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf 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 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 (* -1 (* z (+ x y))) (taylor inf z) (#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 (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#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 (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#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 (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#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 z)) (taylor inf z) (#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 (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#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 (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#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 (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#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 (* -1 z) (taylor inf z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#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 (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#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 (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#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 (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#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 (* y z)) (taylor inf z) (#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>) () ())) ())
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#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#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 (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#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 (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#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 (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#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 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>) () ())) ())
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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) #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 (* y (- 1 z)) (taylor 0 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)) (* y (- 1 z))) (taylor 0 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)) (* y (- 1 z))) (taylor 0 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)) (* y (- 1 z))) (taylor 0 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 0 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 0 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 0 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 0 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 (* 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)) (* 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	@	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	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	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))

simplify147.0ms (2.7%)

Memory

42.7MiB live, 194.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 076×	`lower-fma.f64`
11 076×	`lower-fma.f32`
3 200×	`lower-*.f64`
3 200×	`lower-*.f32`
1 772×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	2368
1	252	1828
2	717	1828
3	2121	1828
4	6599	1828
0	8060	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))))
(* 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 (* 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)))
(* -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 (* x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x 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 (* x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 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 (* y z))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y 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 (* x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 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 (* y z))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* x (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* x (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 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))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) 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))
(* y (- 1 z))
(* y (- 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 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))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 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)))))
(* y (- 1 z))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* y (- 1 z))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 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)))))
(* 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))
(* y (- 1 z))
(* y (- 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 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* 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 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -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 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))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) 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)))))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 1)))
(* x (- 1 z))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* x (- 1 z))
(* 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))
(* 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)))))

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

rewrite186.0ms (3.4%)

Memory

-17.9MiB live, 310.5MiB allocated

Rules

8 216×	`lower-fma.f32`
8 214×	`lower-fma.f64`
5 590×	`lower-*.f32`
5 582×	`lower-*.f64`
2 736×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	123
0	27	123
1	80	123
2	494	123
3	6378	123
0	8986	123

Stop Event

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

Counts

13 → 177

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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eval100.0ms (1.8%)

Memory: -10.3MiB live, 149.3MiB allocated
Compiler: Compiled 6 246 to 736 computations (88.2% saved)

prune18.0ms (0.3%)

Memory

12.9MiB live, 56.6MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	616	0	616
Fresh	0	1	1
Picked	0	5	5
Done	0	5	5
Total	616	11	627

Accuracy

100.0%

Counts

627 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
▶	42.3%	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
✓	43.5%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
✓	50.6%	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
✓	57.7%	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
✓	53.8%	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
✓	26.6%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
✓	22.3%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	28.7%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
✓	30.9%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))

Compiler

Compiled 71 to 73 computations (-2.8% saved)

simplify7.0ms (0.1%)

Memory

-26.5MiB live, 11.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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))

Rules

32×	`lower-+.f64`
32×	`lower-+.f32`
20×	`lower-fma.f32`
20×	`lower-*.f32`
18×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	13	29
1	24	29
2	31	29
3	36	29
4	44	29
5	54	29
6	69	29
7	72	29
0	72	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize22.0ms (0.4%)

Memory

7.4MiB live, 45.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 z)
accuracy	0.00390625	(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
accuracy	0.7499917428166807	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy	36.074810574519226	#s(approx (- 1 z) (neg.f64 z))

Samples

16.0ms

256×

valid

Compiler

Compiled 26 to 11 computations (57.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (42.3% of total)

ival-sub: 1.0ms (14.1% of total)

ival-add: 1.0ms (14.1% of total)

ival-neg: 1.0ms (14.1% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.7MiB live, 9.6MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#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 (neg.f64 z) (patch (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 (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 (* -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 (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 (* 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 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 (* -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 (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 (+ x (+ y (* -1 (/ (+ x 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 (+ x (+ y (* -1 (/ (+ x 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 (+ x (+ y (* -1 (/ (+ x 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 (* -1 (* z (- 1 (/ 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 (* -1 (* z (- 1 (/ 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 (* -1 (* z (- 1 (/ 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 (* -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 (* -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 (* -1 (* z (+ x (* -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 (* -1 (* z (+ x (* -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 (* -1 (* z (+ x (* -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 (* x (- 1 z)) (taylor 0 y) (#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)) (* y (- 1 z))) (taylor 0 y) (#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)) (* y (- 1 z))) (taylor 0 y) (#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)) (* y (- 1 z))) (taylor 0 y) (#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 (* y (- 1 z)) (taylor inf y) (#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 (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#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 (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#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 (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#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 (* y (- 1 z)) (taylor -inf y) (#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 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#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 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#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 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#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 (* y (- 1 z)) (taylor 0 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)) (* y (- 1 z))) (taylor 0 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)) (* y (- 1 z))) (taylor 0 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)) (* y (- 1 z))) (taylor 0 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 0 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 0 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 0 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 0 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 (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 (/ (* y (- 1 z)) x)) 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 (* x (- (+ 1 (/ (* y (- 1 z)) x)) 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 (* x (- (+ 1 (/ (* y (- 1 z)) x)) 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 (* 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 (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	((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x))
0.0ms	x	@	inf	((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x))
0.0ms	x	@	-inf	((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x))
0.0ms	z	@	-inf	((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x))
0.0ms	y	@	inf	((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x))

simplify137.0ms (2.5%)

Memory

-16.6MiB live, 181.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 710×	`lower-fma.f64`
7 710×	`lower-fma.f32`
2 466×	`lower-*.f64`
2 466×	`lower-*.f32`
1 410×	`lower--.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	538
1	209	485
2	659	404
3	1936	404
4	5829	404
0	8098	404

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

Calls

Call 1

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

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

rewrite145.0ms (2.7%)

Memory

26.2MiB live, 305.9MiB allocated

Rules

5 398×	`lower-*.f32`
5 396×	`lower-*.f64`
4 686×	`lower-fma.f32`
4 684×	`lower-fma.f64`
2 390×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	13	26
1	49	26
2	325	26
3	3158	22
0	9782	22

Stop Event

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

Counts

4 → 160

Calls

Call 1

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

Outputs
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eval39.0ms (0.7%)

Memory: -7.3MiB live, 109.5MiB allocated
Compiler: Compiled 5 606 to 599 computations (89.3% saved)

prune10.0ms (0.2%)

Memory

10.0MiB live, 48.8MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	298	0	298
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	298	11	309

Accuracy

100.0%

Counts

309 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x))
✓	42.3%	(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
✓	43.5%	(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
✓	50.6%	#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x))
✓	57.7%	#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
✓	53.8%	#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
✓	26.6%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
✓	22.3%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
✓	28.7%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
✓	30.9%	#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))

Compiler

Compiled 158 to 103 computations (34.8% saved)

regimes58.0ms (1.1%)

Memory

-0.6MiB live, 122.7MiB allocated

Counts

13 → 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))
(*.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:

31.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
7.0ms	z
5.0ms	(-.f64 #s(literal 1 binary64) z)
5.0ms	(+.f64 x y)
4.0ms	y

Results

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

regimes24.0ms (0.4%)

Memory

13.0MiB live, 92.0MiB allocated

Counts

10 → 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))
(*.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:

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

regimes23.0ms (0.4%)

Memory

-38.8MiB live, 46.5MiB allocated

Counts

9 → 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))
(*.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)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
84.6%	3	`x`
86.7%	2	`y`
97.3%	3	`z`
88.3%	3	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
98.6%	2	`(+.f64 x y)`
97.3%	3	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes3.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB 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
98.6%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes17.0ms (0.3%)

Memory

1.0MiB live, 40.3MiB allocated

Counts

6 → 4

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
71.2%	3	`x`
69.0%	2	`y`
77.2%	3	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
83.2%	4	`z`
83.2%	4	`(-.f64 #s(literal 1 binary64) z)`
78.5%	4	`(+.f64 x y)`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes9.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB 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

4 calls:

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

Results

Accuracy	Segments	Branch
57.7%	1	`(+.f64 x y)`
67.1%	3	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
76.4%	3	`(-.f64 #s(literal 1 binary64) z)`
76.4%	3	`z`

Compiler

Compiled 14 to 19 computations (-35.7% saved)

regimes13.0ms (0.2%)

Memory

-10.1MiB live, 28.9MiB allocated

Accuracy

Total -35.1b remaining (-129.6%)

Threshold costs -35.1b (-129.6%)

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

Results

Accuracy	Segments	Branch
57.7%	1	`(+.f64 x y)`
57.7%	1	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
57.7%	1	`y`
57.7%	1	`x`
57.7%	1	`(-.f64 #s(literal 1 binary64) z)`
57.7%	1	`z`

Compiler

Compiled 16 to 25 computations (-56.3% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.904038755842023e-265	9.0724260865488e-227

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	-6.904038755842023e-265	9.0724260865488e-227

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch70.0ms (1.3%)

Memory

3.1MiB live, 43.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	0.8945816290149446	2151.6004809448777
10.0ms	-260.60780912087756	-0.026472605819413287
47.0ms	-2.966037690021905e+227	-4.9576805647282723e+225

Samples

53.0ms

368×

valid

Compiler

Compiled 254 to 349 computations (-37.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 2.0ms (30% of total)

ival-add: 2.0ms (30% of total)

ival-mult: 2.0ms (30% of total)

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

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.3%)

Memory

-12.5MiB live, 25.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.8945816290149446	2151.6004809448777
14.0ms	-1968703637327.514	-260.60780912087756

Samples

8.0ms

160×

valid

Compiler

Compiled 190 to 265 computations (-39.5% saved)

Precisions

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

ival-sub: 1.0ms (34.6% of total)

ival-add: 1.0ms (34.6% of total)

ival-mult: 1.0ms (34.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify26.0ms (0.5%)

Memory

16.1MiB live, 53.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`-commutative-binary64-.f64`
6×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	213
1	55	213
2	58	213
3	59	213

Stop Event

1×

saturated

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 -283625966735417/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 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 -283625966735417/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 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 z #s(literal -21499999999999999365851662224312026962647550287621583010997147035701607288483008148440295711413565389899504125317670731524169191548872584748736605873883308185316266827631624248633174873609308206006279938076059427962361433030656 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal -46 binary64)) #s(approx ( (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (if (<=.f64 z #s(literal 1 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 z #s(literal -265 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 1 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 -283625966735417/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 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 -283625966735417/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 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 z #s(literal -21499999999999999365851662224312026962647550287621583010997147035701607288483008148440295711413565389899504125317670731524169191548872584748736605873883308185316266827631624248633174873609308206006279938076059427962361433030656 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal -46 binary64)) #s(approx ( (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (if (<=.f64 z #s(literal 1 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 z #s(literal -21499999999999999365851662224312026962647550287621583010997147035701607288483008148440295711413565389899504125317670731524169191548872584748736605873883308185316266827631624248633174873609308206006279938076059427962361433030656 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal -46 binary64)) #s(approx ( (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (if (<=.f64 z #s(literal 1 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 z #s(literal -265 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 1 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 (<=.f64 z #s(literal -265 binary64)) #s(approx (* (+ x y) (- 1 z)) (.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx ( (+ x y) (- 1 z)) (+.f64 x y)) #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 x y))

soundness986.0ms (18.1%)

Memory

1.6MiB live, 479.4MiB allocated

Rules

13 482×	`lower-fma.f64`
13 482×	`lower-fma.f32`
12 146×	`lower-fma.f64`
12 146×	`lower-fma.f32`
6 336×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	10	13
1	41	13
2	307	13
3	4032	13
0	9598	13
0	120	2083
1	408	1606
2	1146	1606
3	3602	1606
4	6933	1606
0	8114	1606
0	19	83
0	28	83
1	92	81
2	833	81
0	8315	81
0	65	407
1	213	326
2	683	326
3	2182	326
4	5119	326
5	7892	326
0	8645	326

Stop Event

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

Compiler

Compiled 189 to 118 computations (37.6% saved)

preprocess68.0ms (1.2%)

Memory: -11.2MiB live, 152.0MiB allocated
Remove: (sort x y)
Compiler: Compiled 314 to 136 computations (56.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (22.9%)

explain136.0ms (2.5%)

preprocess309.0ms (5.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify91.0ms (1.7%)

localize42.0ms (0.8%)

series5.0ms (0.1%)

simplify193.0ms (3.5%)

rewrite229.0ms (4.2%)

eval109.0ms (2%)

prune20.0ms (0.4%)

simplify72.0ms (1.3%)

localize42.0ms (0.8%)

series18.0ms (0.3%)

simplify138.0ms (2.5%)

rewrite169.0ms (3.1%)

eval308.0ms (5.7%)

prune38.0ms (0.7%)

simplify78.0ms (1.4%)

localize56.0ms (1%)

series18.0ms (0.3%)

simplify147.0ms (2.7%)

rewrite186.0ms (3.4%)

eval100.0ms (1.8%)

prune18.0ms (0.3%)

simplify7.0ms (0.1%)

localize22.0ms (0.4%)

series5.0ms (0.1%)

simplify137.0ms (2.5%)

rewrite145.0ms (2.7%)

eval39.0ms (0.7%)

prune10.0ms (0.2%)

regimes58.0ms (1.1%)

regimes24.0ms (0.4%)

regimes23.0ms (0.4%)

regimes3.0ms (0.1%)

regimes17.0ms (0.3%)

regimes9.0ms (0.2%)

regimes13.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch70.0ms (1.3%)

bsearch16.0ms (0.3%)

simplify26.0ms (0.5%)

soundness986.0ms (18.1%)

preprocess68.0ms (1.2%)

end0.0ms (0%)

Profiling