Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

sample942.0ms (10.6%)

Memory

-14.0MiB live, 982.7MiB allocated

Samples

643.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 407.0ms

ival-mult: 313.0ms (77% of total)

ival-sub: 79.0ms (19.4% of total)

ival-true: 7.0ms (1.7% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 4.0ms (1% of total)

Bogosity

explain109.0ms (1.2%)

Memory

12.9MiB live, 171.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
11	-	-	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 y z)`
0	-	-	`z`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`	*no**	11	0

Confusion

	Predicted +	Predicted -
+	11	0
-	0	245

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	11	0	0
-	0	0	245

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	245
1	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

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

ival-mult: 7.0ms (65.5% of total)

ival-sub: 2.0ms (18.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess68.0ms (0.8%)

Memory

-6.7MiB live, 38.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	70
1	90	65
2	186	63
3	504	63
4	831	63
5	1056	63
6	1065	63
0	7	7
0	10	7
1	19	7
2	36	7
3	74	7
4	194	7
5	251	7
6	303	7
7	401	7
8	461	7
9	549	7
10	563	7
0	563	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

(sort y z)

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)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify17.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.4%)

Memory

-1.3MiB live, 34.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy	0	(*.f64 y z)
accuracy	2.6698118458018643	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Samples

16.0ms

256×

valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

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

ival-mult: 4.0ms (75.3% of total)

ival-sub: 1.0ms (18.8% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.3%)

Memory

-21.0MiB live, 15.3MiB allocated

Counts

3 → 84

Calls

Call 1

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

Inputs

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

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

#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())

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

Calls

9 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	x	@	0	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	y	@	0	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	z	@	-inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))
1.0ms	z	@	inf	((* x (- 1 (* y z))) (- 1 (* y z)) (* y z))

simplify195.0ms (2.2%)

Memory

-2.8MiB live, 104.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	446
1	136	416
2	296	416
3	488	416
4	2008	416
5	5035	416
6	6541	416
7	7282	416
8	7487	416
9	7593	416
10	7673	416
0	8014	416

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

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

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

rewrite349.0ms (3.9%)

Memory

0.3MiB live, 189.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	32	15
2	192	15
3	1532	15
0	9726	13

Stop Event

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

Counts

3 → 618

Calls

Call 1

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

Outputs
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eval203.0ms (2.3%)

Memory: -1.7MiB live, 118.0MiB allocated
Compiler: Compiled 20 981 to 1 660 computations (92.1% saved)

prune62.0ms (0.7%)

Memory

4.6MiB live, 42.5MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	691	9	700
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	692	9	701

Accuracy

100.0%

Counts

701 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.9%	(fma.f64 (*.f64 x (neg.f64 z)) y x)
▶	95.6%	(fma.f64 (*.f64 x (neg.f64 y)) z x)
▶	66.2%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
▶	95.8%	(-.f64 x (.f64 (.f64 z y) x))
	65.7%	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
▶	66.6%	(.f64 x (fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
	72.4%	(.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 y) (/.f64 (.f64 (.f64 z z) y) (fma.f64 z y #s(literal 1 binary64))))))
	49.2%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
▶	48.4%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Compiler

Compiled 214 to 160 computations (25.2% saved)

simplify221.0ms (2.5%)

Memory

1.5MiB live, 120.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 z y) #s(literal 3 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x)
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
cost-diff	0	(pow.f64 (*.f64 z y) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
cost-diff	0	(.f64 x (fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
cost-diff	7808	(fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 x (neg.f64 y))
cost-diff	0	(fma.f64 (*.f64 x (neg.f64 y)) z x)
cost-diff	0	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 z y)
cost-diff	0	(.f64 (.f64 z y) x)
cost-diff	0	(-.f64 x (.f64 (.f64 z y) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	165
0	48	157
1	107	156
2	265	149
3	1063	149
4	4095	149
5	6495	149
0	8112	149

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 z y) x))
x
(.f64 (.f64 z y) x)
(*.f64 z y)
z
y
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
z
(.f64 x (fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
x
(fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))
(neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 z y)
z
y
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 z y))
#s(literal 1 binary64)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 z y) #s(literal 3 binary64))
(*.f64 z y)
z
y
#s(literal 3 binary64)
x
(fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))
(fma.f64 z y #s(literal 1 binary64))

Outputs
(-.f64 x (.f64 (.f64 z y) x))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
x
(.f64 (.f64 z y) x)
(.f64 (.f64 y z) x)
(*.f64 z y)
(*.f64 y z)
z
y
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
(.f64 #s(approx (- 1 ( y z)) #s(literal 1 binary64)) x)
x
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
x
(neg.f64 y)
y
z
(.f64 x (fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
x
(fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) z #s(literal 1 binary64))
(neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(pow.f64 (*.f64 y z) #s(literal 2 binary64))
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
#s(literal 1 binary64)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(.f64 (/.f64 x (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (.f64 y z) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x)
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y z) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 z y) #s(literal 3 binary64))
(pow.f64 (*.f64 y z) #s(literal 3 binary64))
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 3 binary64)
x
(fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))
(fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))
(fma.f64 z y #s(literal 1 binary64))
(fma.f64 y z #s(literal 1 binary64))

localize173.0ms (1.9%)

Memory

-11.1MiB live, 225.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.14681625976844204	(fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))
accuracy	0.2556038574528622	(pow.f64 (*.f64 z y) #s(literal 3 binary64))
accuracy	1.8999930933346332	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x)
accuracy	19.217058517519327	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
accuracy	0.254570019536884	(pow.f64 (*.f64 z y) #s(literal 2 binary64))
accuracy	0.3101221590340791	(/.f64 #s(literal 1 binary64) (*.f64 z y))
accuracy	2.6698118458018643	(.f64 x (fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
accuracy	22.585198199299587	(fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	2.8425654055564986	(fma.f64 (*.f64 x (neg.f64 y)) z x)
accuracy	2.6698118458018643	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
accuracy	33.21054503220944	#s(approx (- 1 (* y z)) #s(literal 1 binary64))
accuracy	0	(-.f64 x (.f64 (.f64 z y) x))
accuracy	0	(*.f64 z y)
accuracy	4.160909709065919	(.f64 (.f64 z y) x)

Samples

143.0ms

256×

valid

Compiler

Compiled 326 to 56 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 56.0ms (71.8% of total)

ival-add: 5.0ms (6.4% of total)

ival-div: 4.0ms (5.1% of total)

ival-sub: 4.0ms (5.1% of total)

ival-pow: 4.0ms (5.1% of total)

ival-pow2: 3.0ms (3.8% of total)

ival-neg: 2.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (0.8%)

Memory

20.9MiB live, 208.5MiB allocated

Counts

18 → 504

Calls

Call 1

Inputs
#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())
#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (neg.f64 y)) z x) (patch (fma.f64 (.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())
#s(alt (.f64 x (neg.f64 y)) (patch (.f64 x (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))) (patch (.f64 x (fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 z y) #s(literal 2 binary64)) (patch (pow.f64 (.f64 z y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (.f64 z y) #s(literal 1 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (.f64 z y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 z y) #s(literal 3 binary64)) (patch (pow.f64 (.f64 z y) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (.f64 z y)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (.f64 z y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (.f64 z y) #s(literal 1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 z y) x)) (patch (-.f64 x (.f64 (.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (.f64 z y) x) (patch (.f64 (.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (.f64 z y) (patch (.f64 z y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* y z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (.f64 x (neg.f64 y)) z x) (patch (fma.f64 (.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (.f64 x (neg.f64 y)) z x) (patch (fma.f64 (.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (.f64 x (neg.f64 y)) z x) (patch (fma.f64 (.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (fma.f64 (.f64 x (neg.f64 y)) z x) (patch (fma.f64 (.f64 x (neg.f64 y)) z x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* x (- 1 (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* (pow y 3) (pow z 3)))) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (patch (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	y	@	inf	((- x (* (* z y) x)) (* (* z y) x) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (neg (pow (* z y) 2)) (pow (* z y) 2) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (- 1 (pow (* z y) 3)) x) (- 1 (pow (* z y) 3)) (pow (* z y) 3) (/ 1 (* z y)) (+ (* (+ (* z y) 1) (* z y)) 1))
7.0ms	y	@	0	((- x (* (* z y) x)) (* (* z y) x) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (neg (pow (* z y) 2)) (pow (* z y) 2) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (- 1 (pow (* z y) 3)) x) (- 1 (pow (* z y) 3)) (pow (* z y) 3) (/ 1 (* z y)) (+ (* (+ (* z y) 1) (* z y)) 1))
6.0ms	z	@	-inf	((- x (* (* z y) x)) (* (* z y) x) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (neg (pow (* z y) 2)) (pow (* z y) 2) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (- 1 (pow (* z y) 3)) x) (- 1 (pow (* z y) 3)) (pow (* z y) 3) (/ 1 (* z y)) (+ (* (+ (* z y) 1) (* z y)) 1))
6.0ms	x	@	0	((- x (* (* z y) x)) (* (* z y) x) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (neg (pow (* z y) 2)) (pow (* z y) 2) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (- 1 (pow (* z y) 3)) x) (- 1 (pow (* z y) 3)) (pow (* z y) 3) (/ 1 (* z y)) (+ (* (+ (* z y) 1) (* z y)) 1))
5.0ms	z	@	0	((- x (* (* z y) x)) (* (* z y) x) (* z y) (* x (- 1 (* y z))) (- 1 (* y z)) (+ (* (* x (neg y)) z) x) (* x (neg y)) (neg y) (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1) (* x (+ (* (neg (pow (* z y) 2)) (/ 1 (* z y))) 1)) (neg (pow (* z y) 2)) (pow (* z y) 2) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (- 1 (pow (* z y) 3)) x) (- 1 (pow (* z y) 3)) (pow (* z y) 3) (/ 1 (* z y)) (+ (* (+ (* z y) 1) (* z y)) 1))

simplify201.0ms (2.3%)

Memory

11.0MiB live, 288.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	3716
1	895	3588
2	2985	3584
0	8267	3534

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 492

Calls

Call 1

Inputs
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
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x
(+ x (* -1 (* x (* y z))))
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(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
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(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
(* (pow y 2) (pow z 2))
x
(+ x (* -1 (* x (* y z))))
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
x
(+ x (* -1 (* x (* (pow y 3) (pow z 3)))))
(+ x (* -1 (* x (* (pow y 3) (pow z 3)))))
(+ x (* -1 (* x (* (pow y 3) (pow z 3)))))
1
(+ 1 (* -1 (* (pow y 3) (pow z 3))))
(+ 1 (* -1 (* (pow y 3) (pow z 3))))
(+ 1 (* -1 (* (pow y 3) (pow z 3))))
(* (pow y 3) (pow z 3))
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(* (pow y 3) (pow z 3))
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(/ 1 (* y z))
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(/ 1 (* y z))
(/ 1 (* y z))
1
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(+ 1 (* z (+ y (* (pow y 2) z))))
(* -1 (* x (* y z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* y z))
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(* z (- (/ 1 z) y))
(* -1 (* x (* y z)))
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(* -1 (* x (* y z)))
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(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(* -1 (* x (* (pow y 3) (pow z 3))))
(* (pow z 3) (+ (* -1 (* x (pow y 3))) (/ x (pow z 3))))
(* (pow z 3) (+ (* -1 (* x (pow y 3))) (/ x (pow z 3))))
(* (pow z 3) (+ (* -1 (* x (pow y 3))) (/ x (pow z 3))))
(* -1 (* (pow y 3) (pow z 3)))
(* (pow z 3) (- (/ 1 (pow z 3)) (pow y 3)))
(* (pow z 3) (- (/ 1 (pow z 3)) (pow y 3)))
(* (pow z 3) (- (/ 1 (pow z 3)) (pow y 3)))
(* (pow y 3) (pow z 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (pow z 3))
(* (pow y 3) (pow z 3))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(* (pow y 2) (pow z 2))
(* (pow z 2) (+ (/ y z) (pow y 2)))
(* (pow z 2) (+ (/ 1 (pow z 2)) (+ (/ y z) (pow y 2))))
(* (pow z 2) (+ (/ 1 (pow z 2)) (+ (/ y z) (pow y 2))))
(* -1 (* x (* y z)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
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(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
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(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
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(* -1 (* z (- y (/ 1 z))))
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(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
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(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(* -1 (* x (* (pow y 3) (pow z 3))))
(* -1 (* (pow z 3) (+ (* -1 (/ x (pow z 3))) (* x (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ x (pow z 3))) (* x (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ x (pow z 3))) (* x (pow y 3)))))
(* -1 (* (pow y 3) (pow z 3)))
(* (pow z 3) (+ (* -1 (pow y 3)) (/ 1 (pow z 3))))
(* (pow z 3) (+ (* -1 (pow y 3)) (/ 1 (pow z 3))))
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(/ 1 (* y z))
(/ 1 (* y z))
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(/ 1 (* y z))
(* (pow y 2) (pow z 2))
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(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (pow y 2)))
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (pow y 2)))
x
(+ x (* -1 (* x (* y z))))
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x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
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1
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x
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1
(+ 1 (* -1 (* y z)))
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x
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(* -1 (* (pow y 2) (pow z 2)))
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(* -1 (* (pow y 2) (pow z 2)))
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(* (pow y 2) (pow z 2))
x
(+ x (* -1 (* x (* y z))))
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
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(+ x (* -1 (* x (* (pow y 3) (pow z 3)))))
(+ x (* -1 (* x (* (pow y 3) (pow z 3)))))
1
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1
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(* y (- (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 3) (pow z 2))))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))))))
(* -1 (* x (* (pow y 3) (pow z 3))))
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(* -1 (* (pow y 3) (pow z 3)))
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(/ 1 (* y z))
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(* -1 (* y (- (* -1 (/ x y)) (* -1 (* x z)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (* x z)))))
(* x (* y z))
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(* x (* y z))
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(* y z)
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(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
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(* -1 (* y z))
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(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* (pow y 2) (pow z 2)))
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(* -1 (* (pow y 2) (pow z 2)))
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(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow z 2)) (+ (* -1 (/ x (pow z 2))) (* 2 (/ x (pow z 2))))) y)) (+ (* -1 (/ x z)) (/ x z))) y)) (* -1 x)) y)) (* x z))))
(* -1 (* x (* (pow y 3) (pow z 3))))
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(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(* x (- 1 (* (pow y 3) (pow z 3))))
(* x (- 1 (* (pow y 3) (pow z 3))))
(* x (- 1 (* (pow y 3) (pow z 3))))
(* x (- 1 (* (pow y 3) (pow z 3))))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (- 1 (* y z)))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(* x (- 1 (* (pow y 3) (pow z 3))))
(* x (- 1 (* (pow y 3) (pow z 3))))
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(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
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(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x (- (* y z) 1)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(* x (+ 1 (* -1 (* y z))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(* x (- 1 (* (pow y 3) (pow z 3))))
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Outputs
x
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 z) (*.f64 y x) x)
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 z) (*.f64 y x) x)
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(fma.f64 (neg.f64 z) (*.f64 y x) x)
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(.f64 (.f64 z x) y)
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(.f64 (.f64 z x) y)
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(.f64 (.f64 z x) y)
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(.f64 (.f64 z x) y)
(* y z)
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(*.f64 z y)
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(*.f64 z y)
x
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 z) (*.f64 y x) x)
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 z) (*.f64 y x) x)
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 z) (*.f64 y x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y z)))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
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(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(+ 1 (* -1 (* y z)))
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x
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 z) (*.f64 y x) x)
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 z) (*.f64 y x) x)
(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 z) (*.f64 y x) x)
1
#s(literal 1 binary64)
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(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
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(+ 1 (* -1 (* y z)))
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x
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(+ x (* -1 (* x (* y z))))
(fma.f64 (neg.f64 z) (*.f64 y x) x)
(* -1 (* (pow y 2) (pow z 2)))
(.f64 (.f64 (*.f64 (neg.f64 y) y) z) z)
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(* -1 (* (pow y 2) (pow z 2)))
(.f64 (.f64 (*.f64 (neg.f64 y) y) z) z)
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(.f64 (.f64 (*.f64 (neg.f64 y) y) z) z)
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(.f64 (.f64 (*.f64 z z) y) y)
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(.f64 (.f64 (*.f64 z z) y) y)
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(.f64 (.f64 (*.f64 z z) y) y)
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(fma.f64 (neg.f64 z) (*.f64 y x) x)
x
(+ x (* -1 (* x (* (pow y 3) (pow z 3)))))
(*.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x)
(+ x (* -1 (* x (* (pow y 3) (pow z 3)))))
(*.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x)
(+ x (* -1 (* x (* (pow y 3) (pow z 3)))))
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1
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(* (pow y 3) (pow z 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (pow z 3))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
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(/ 1 (* y z))
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1
#s(literal 1 binary64)
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(* y z)
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(.f64 (neg.f64 z) (.f64 y x))
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(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
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(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
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(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
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(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* -1 (* y z))
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(* z (+ (* -1 y) (/ 1 z)))
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(.f64 (neg.f64 z) (.f64 y x))
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(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
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(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
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(.f64 (neg.f64 x) (.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
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(* (pow z 3) (+ (* -1 (* x (pow y 3))) (/ x (pow z 3))))
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(* (pow z 3) (+ (* -1 (* x (pow y 3))) (/ x (pow z 3))))
(*.f64 (fma.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64)) (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* (pow y 3) (pow z 3)))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* (pow z 3) (- (/ 1 (pow z 3)) (pow y 3)))
(fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
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(fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
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(* (pow y 3) (pow z 3))
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(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
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(fma.f64 (fma.f64 y y (/.f64 y z)) (*.f64 z z) #s(literal 1 binary64))
(* (pow z 2) (+ (/ 1 (pow z 2)) (+ (/ y z) (pow y 2))))
(fma.f64 (fma.f64 y y (/.f64 y z)) (*.f64 z z) #s(literal 1 binary64))
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(.f64 (neg.f64 z) (.f64 y x))
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(* y z)
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(*.f64 (fma.f64 (neg.f64 x) y (/.f64 x z)) z)
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rewrite268.0ms (3%)

Memory

-13.9MiB live, 361.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	137
0	48	116
1	213	109
2	1565	102
0	9014	102

Stop Event

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

Counts

18 → 1 369

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 z y) x))
(.f64 (.f64 z y) x)
(*.f64 z y)
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (- 1 (* y z)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
(fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))
(.f64 x (fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
(neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)))
(pow.f64 (*.f64 z y) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))
(pow.f64 (*.f64 z y) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
(fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))

Outputs
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eval377.0ms (4.2%)

Memory: 8.8MiB live, 625.5MiB allocated
Compiler: Compiled 43 857 to 3 538 computations (91.9% saved)

prune162.0ms (1.8%)

Memory

-13.4MiB live, 110.2MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	2 144	5	2 149
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	2 150	8	2 158

Accuracy

100.0%

Counts

2 158 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.8%	(-.f64 x (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x))
✓	95.8%	(-.f64 x (.f64 (.f64 z y) x))
▶	93.9%	(-.f64 x (.f64 (.f64 x z) y))
	65.7%	(.f64 (/.f64 x (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (.f64 y z) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
▶	66.6%	(.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
▶	49.2%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
✓	48.4%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
▶	50.8%	#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))

Compiler

Compiled 145 to 118 computations (18.6% saved)

simplify138.0ms (1.6%)

Memory

35.0MiB live, 114.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 y) z)
cost-diff	0	(.f64 (.f64 (neg.f64 y) z) (*.f64 y z))
cost-diff	0	(.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
cost-diff	1984	(fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))
cost-diff	0	(*.f64 x z)
cost-diff	0	(.f64 (.f64 x z) y)
cost-diff	0	(-.f64 x (.f64 (.f64 x z) y))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) y)
cost-diff	0	#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(neg.f64 z)
cost-diff	0	(.f64 (neg.f64 z) (.f64 y x))
cost-diff	0	#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)
cost-diff	0	(-.f64 x (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x))
cost-diff	1216	(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	185
0	59	190
1	140	180
2	377	156
3	1488	156
4	4580	156
5	7658	156
0	8356	154

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x))
x
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(neg.f64 y)
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))
(.f64 (neg.f64 z) (.f64 y x))
(neg.f64 z)
z
(*.f64 y x)
y
x
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
x
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(-.f64 x (.f64 (.f64 x z) y))
x
(.f64 (.f64 x z) y)
(*.f64 x z)
z
y
(.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
x
(fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))
(.f64 (.f64 (neg.f64 y) z) (*.f64 y z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
(*.f64 y z)
(/.f64 #s(literal 1 binary64) (*.f64 z y))
#s(literal 1 binary64)
(*.f64 z y)

Outputs
(-.f64 x (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
x
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)
(.f64 (.f64 z x) y)
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 z y)
(neg.f64 y)
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) y) x))
(.f64 (neg.f64 z) (.f64 y x))
(.f64 (.f64 (neg.f64 z) y) x)
(neg.f64 z)
z
(*.f64 y x)
y
x
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
(.f64 #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)) x)
x
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(-.f64 x (.f64 (.f64 x z) y))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
x
(.f64 (.f64 x z) y)
(.f64 (.f64 z x) y)
(*.f64 x z)
(*.f64 z x)
z
y
(.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
x
(fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) y #s(literal 1 binary64))
(.f64 (.f64 (neg.f64 y) z) (*.f64 y z))
(.f64 (.f64 (neg.f64 y) y) (*.f64 z z))
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) y)
(neg.f64 y)
y
z
(*.f64 y z)
(*.f64 z y)
(/.f64 #s(literal 1 binary64) (*.f64 z y))
#s(literal 1 binary64)
(*.f64 z y)

localize145.0ms (1.6%)

Memory

-14.0MiB live, 100.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.254570019536884	(.f64 (.f64 (neg.f64 y) z) (*.f64 y z))
accuracy	0.3101221590340791	(/.f64 #s(literal 1 binary64) (*.f64 z y))
accuracy	2.6698118458018643	(.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
accuracy	22.585198199299587	(fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))
accuracy	0	(-.f64 x (.f64 (.f64 x z) y))
accuracy	0	(*.f64 x z)
accuracy	5.382958780543738	(.f64 (.f64 x z) y)
accuracy	0	(*.f64 (neg.f64 z) y)
accuracy	0	(neg.f64 z)
accuracy	2.6698118458018643	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
accuracy	30.032304854123936	#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 z)
accuracy	3.604025404456132	(.f64 (neg.f64 z) (.f64 y x))
accuracy	29.85747032839259	#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))
accuracy	0	(-.f64 x (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x))
accuracy	0	(neg.f64 y)
accuracy	0.23828125	(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
accuracy	4.160909709065919	(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)

Samples

97.0ms

256×

valid

Compiler

Compiled 326 to 64 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 22.0ms (37.7% of total)

ival-div: 21.0ms (36% of total)

ival-sub: 5.0ms (8.6% of total)

ival-add: 4.0ms (6.9% of total)

ival-pow: 4.0ms (6.9% of total)

ival-neg: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series109.0ms (1.2%)

Memory

-14.2MiB live, 54.2MiB allocated

Counts

19 → 528

Calls

Call 1

Inputs
#s(alt (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())
#s(alt (-.f64 x (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)) (patch (-.f64 x (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) (patch (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 z) (.f64 y x)) (patch (.f64 (neg.f64 z) (.f64 y x)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (- 1 ( y z)) (.f64 (neg.f64 z) y))) (patch (.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* y z)) (.f64 (neg.f64 z) y)) (patch #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt (-.f64 x (.f64 (.f64 x z) y)) (patch (-.f64 x (.f64 (.f64 x z) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x z) y) (patch (.f64 (.f64 x z) y) #<representation binary64>) () ())
#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64)) (patch (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))) (patch (.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (patch (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) z) (patch (.f64 (neg.f64 y) z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (.f64 z y)) #<representation binary64>) () ())

Outputs
#s(alt (* y z) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (-.f64 x (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)) (patch (-.f64 x (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)) (patch (-.f64 x (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)) (patch (-.f64 x (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)) (patch (-.f64 x (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) (patch (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) (patch (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) (patch (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) (patch (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) (.f64 y x)) (patch (.f64 (neg.f64 z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) (.f64 y x)) (patch (.f64 (neg.f64 z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) (.f64 y x)) (patch (.f64 (neg.f64 z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) (.f64 y x)) (patch (.f64 (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 (taylor 0 z) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (.f64 (neg.f64 z) y))) (patch (.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (.f64 (neg.f64 z) y))) (patch (.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (.f64 (neg.f64 z) y))) (patch (.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (.f64 (neg.f64 z) y))) (patch (.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (.f64 (neg.f64 z) y)) (patch #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (.f64 (neg.f64 z) y)) (patch #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (.f64 (neg.f64 z) y)) (patch #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- 1 (* y z)) (.f64 (neg.f64 z) y)) (patch #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) y) (patch (.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 x z) y)) (patch (-.f64 x (.f64 (.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 x z) y)) (patch (-.f64 x (.f64 (.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 x z) y)) (patch (-.f64 x (.f64 (.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt (-.f64 x (.f64 (.f64 x z) y)) (patch (-.f64 x (.f64 (.f64 x z) y)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)) (patch (-.f64 x (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) (patch (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) (patch (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) (patch (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) (patch (.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (.f64 (neg.f64 z) (.f64 y x)) (patch (.f64 (neg.f64 z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (.f64 (neg.f64 z) (.f64 y x)) (patch (.f64 (neg.f64 z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (.f64 (neg.f64 z) (.f64 y x)) (patch (.f64 (neg.f64 z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (.f64 (neg.f64 z) (.f64 y x)) (patch (.f64 (neg.f64 z) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (.f64 (neg.f64 z) y))) (patch (.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (.f64 (neg.f64 z) y))) (patch (.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (.f64 (neg.f64 z) y))) (patch (.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (.f64 (neg.f64 z) y))) (patch (.f64 x #s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 x z) y)) (patch (-.f64 x (.f64 (.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 x z) y)) (patch (-.f64 x (.f64 (.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 x z) y)) (patch (-.f64 x (.f64 (.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (-.f64 x (.f64 (.f64 x z) y)) (patch (-.f64 x (.f64 (.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 x z) y) (patch (.f64 (.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 x z) y) (patch (.f64 (.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 x z) y) (patch (.f64 (.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (.f64 (.f64 x z) y) (patch (.f64 (.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (.f64 x z) (patch (.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))) (patch (.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))) (patch (.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))) (patch (.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* y z)))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))) (patch (.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
75.0ms	x	@	0	((/ (neg y) (/ -1 z)) (- x (* (/ (neg y) (/ -1 z)) x)) (* (/ (neg y) (/ -1 z)) x) (neg y) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (neg z) (* y x)) (neg z) (* y x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (- x (* (* x z) y)) (* (* x z) y) (* x z) (+ (* (* (* (neg y) z) (* y z)) (/ 1 (* z y))) 1) (* x (+ (* (* (* (neg y) z) (* y z)) (/ 1 (* z y))) 1)) (* (* (neg y) z) (* y z)) (* (neg y) z) (/ 1 (* z y)))
4.0ms	x	@	-inf	((/ (neg y) (/ -1 z)) (- x (* (/ (neg y) (/ -1 z)) x)) (* (/ (neg y) (/ -1 z)) x) (neg y) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (neg z) (* y x)) (neg z) (* y x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (- x (* (* x z) y)) (* (* x z) y) (* x z) (+ (* (* (* (neg y) z) (* y z)) (/ 1 (* z y))) 1) (* x (+ (* (* (* (neg y) z) (* y z)) (/ 1 (* z y))) 1)) (* (* (neg y) z) (* y z)) (* (neg y) z) (/ 1 (* z y)))
3.0ms	x	@	inf	((/ (neg y) (/ -1 z)) (- x (* (/ (neg y) (/ -1 z)) x)) (* (/ (neg y) (/ -1 z)) x) (neg y) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (neg z) (* y x)) (neg z) (* y x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (- x (* (* x z) y)) (* (* x z) y) (* x z) (+ (* (* (* (neg y) z) (* y z)) (/ 1 (* z y))) 1) (* x (+ (* (* (* (neg y) z) (* y z)) (/ 1 (* z y))) 1)) (* (* (neg y) z) (* y z)) (* (neg y) z) (/ 1 (* z y)))
2.0ms	z	@	-inf	((/ (neg y) (/ -1 z)) (- x (* (/ (neg y) (/ -1 z)) x)) (* (/ (neg y) (/ -1 z)) x) (neg y) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (neg z) (* y x)) (neg z) (* y x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (- x (* (* x z) y)) (* (* x z) y) (* x z) (+ (* (* (* (neg y) z) (* y z)) (/ 1 (* z y))) 1) (* x (+ (* (* (* (neg y) z) (* y z)) (/ 1 (* z y))) 1)) (* (* (neg y) z) (* y z)) (* (neg y) z) (/ 1 (* z y)))
2.0ms	y	@	-inf	((/ (neg y) (/ -1 z)) (- x (* (/ (neg y) (/ -1 z)) x)) (* (/ (neg y) (/ -1 z)) x) (neg y) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (neg z) (* y x)) (neg z) (* y x) (* x (- 1 (* y z))) (- 1 (* y z)) (* (neg z) y) (- x (* (* x z) y)) (* (* x z) y) (* x z) (+ (* (* (* (neg y) z) (* y z)) (/ 1 (* z y))) 1) (* x (+ (* (* (* (neg y) z) (* y z)) (/ 1 (* z y))) 1)) (* (* (neg y) z) (* y z)) (* (neg y) z) (/ 1 (* z y)))

simplify347.0ms (3.9%)

Memory

23.3MiB live, 210.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	3070
1	663	2932
2	2263	2932
3	6873	2932
0	8216	2908

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 518

Calls

Call 1

Inputs
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
x
(+ x (* -1 (* x (* y z))))
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* x (* y z)))
(* z (- (/ x z) (* x y)))
(* z (- (/ x z) (* x y)))
(* z (- (/ x z) (* x y)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* y z))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* x (* y z)))
(* z (- (/ x z) (* x y)))
(* z (- (/ x z) (* x y)))
(* z (- (/ x z) (* x y)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* x (* y z)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 z)
(* -1 z)
(* -1 z)
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(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* y z))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* z (+ (* -1 y) (/ 1 z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* x (* y z)))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
(* -1 (* z (- (* -1 (/ x z)) (* -1 (* x y)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
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(* x z)
(* x z)
(* -1 (* y z))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* z (- y (/ 1 z))))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* -1 (* x (* y z))))
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(+ x (* y (- (* y (- (* y (* z (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* (pow y 2) (pow z 2)))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* x (* y z)))
(* y (- (/ x y) (* x z)))
(* y (- (/ x y) (* x z)))
(* y (- (/ x y) (* x z)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x (* y z)))
(* y (+ (* -1 (* x z)) (/ x y)))
(* y (- (+ (* -1 (* x z)) (* -1 (/ (+ (* -1 (/ x z)) (/ x z)) (pow y 2)))) (* -1 (/ x y))))
(* y (- (+ (* -1 (* x z)) (+ (* -1 (/ x (* (pow y 3) (pow z 2)))) (/ x (* (pow y 3) (pow z 2))))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (* (pow y 2) z))) (/ x (* (pow y 2) z))))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* x y)
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(* x (* y z))
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(/ 1 (* y z))
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(* -1 y)
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(* -1 y)
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(* -1 (* x (* y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) y)) (* x z))))
(* -1 (* y (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow z 2)) (+ (* -1 (/ x (pow z 2))) (* 2 (/ x (pow z 2))))) y)) (+ (* -1 (/ x z)) (/ x z))) y)) (* -1 x)) y)) (* x z))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
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(* -1 (* x (* y z)))
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(* -1 (* x (* y z)))
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(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
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Outputs
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
x
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(.f64 (.f64 x z) y)
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(* x (* y z))
(.f64 (.f64 x z) y)
x
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
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(.f64 (.f64 x z) y)
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1
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(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
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(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(.f64 (/.f64 x (fma.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) z) y #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(.f64 (/.f64 x (fma.f64 (.f64 (fma.f64 z y #s(literal 1 binary64)) z) y #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
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(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
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(*.f64 (fma.f64 (neg.f64 z) y #s(literal 1 binary64)) x)
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rewrite470.0ms (5.3%)

Memory

-18.0MiB live, 260.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	155
0	59	153
1	252	110
2	1759	110
0	9003	103

Stop Event

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

Counts

19 → 1 038

Calls

Call 1

Inputs
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(-.f64 x (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x))
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x)
(neg.f64 y)
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))
(.f64 (neg.f64 z) (.f64 y x))
(neg.f64 z)
(*.f64 y x)
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
#s(approx (- 1 (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(-.f64 x (.f64 (.f64 x z) y))
(.f64 (.f64 x z) y)
(*.f64 x z)
(fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (.f64 z y)) #s(literal 1 binary64))
(.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 y) z) (*.f64 y z))
(*.f64 (neg.f64 y) z)
(/.f64 #s(literal 1 binary64) (*.f64 z y))

Outputs
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eval456.0ms (5.1%)

Memory: -5.3MiB live, 470.5MiB allocated
Compiler: Compiled 25 663 to 2 135 computations (91.7% saved)

prune196.0ms (2.2%)

Memory

-5.2MiB live, 113.4MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 625	3	1 628
Fresh	1	0	1
Picked	2	3	5
Done	0	2	2
Total	1 628	8	1 636

Accuracy

100.0%

Counts

1 636 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.8%	(-.f64 x (.f64 (.f64 z y) x))
✓	66.6%	(.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
▶	49.1%	(.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
✓	49.2%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
✓	48.4%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
▶	49.2%	#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
▶	50.6%	#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y))
✓	50.8%	#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))

Compiler

Compiled 65 to 61 computations (6.2% saved)

simplify313.0ms (3.5%)

Memory

25.2MiB live, 179.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) z)
cost-diff	0	#s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
cost-diff	0	(.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
cost-diff	960	(/.f64 y (/.f64 #s(literal -1 binary64) 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 (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
cost-diff	1344	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))
cost-diff	0	(neg.f64 z)
cost-diff	0	(*.f64 (neg.f64 z) x)
cost-diff	0	(.f64 (.f64 (neg.f64 z) x) y)
cost-diff	0	#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	127
0	35	125
1	75	125
2	177	125
3	525	122
4	1548	122
5	2973	122
6	5155	122
7	7542	122
0	8152	118

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y))
(.f64 (.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
y
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))
x
(/.f64 (/.f64 #s(literal -1 binary64) z) y)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
y
(.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
x
#s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(/.f64 y (/.f64 #s(literal -1 binary64) z))
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z

Outputs
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y))
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 y (.f64 x (neg.f64 z))))
(.f64 (.f64 (neg.f64 z) x) y)
(.f64 y (.f64 x (neg.f64 z)))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(neg.f64 z)
z
x
y
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 y (.f64 x (neg.f64 z))))
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))
(.f64 y (.f64 x (neg.f64 z)))
x
(/.f64 (/.f64 #s(literal -1 binary64) z) y)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
y
(.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
(.f64 #s(approx (- 1 ( y z)) (*.f64 y (neg.f64 z))) x)
x
#s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
#s(approx (- 1 (* y z)) (*.f64 y (neg.f64 z)))
(/.f64 y (/.f64 #s(literal -1 binary64) z))
(*.f64 y (neg.f64 z))
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z

localize450.0ms (5.1%)

Memory

-38.4MiB live, 100.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.23828125	(/.f64 y (/.f64 #s(literal -1 binary64) z))
accuracy	2.6698118458018643	(.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
accuracy	30.032304854123936	#s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
accuracy	0	(/.f64 #s(literal -1 binary64) z)
accuracy	0.19921875	(/.f64 (/.f64 #s(literal -1 binary64) z) y)
accuracy	4.157003459065919	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))
accuracy	29.85747032839259	#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
accuracy	0	(*.f64 (neg.f64 z) x)
accuracy	0	(neg.f64 z)
accuracy	5.382958780543738	(.f64 (.f64 (neg.f64 z) x) y)
accuracy	29.85747032839259	#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y))

Samples

216.0ms

256×

valid

Compiler

Compiled 177 to 41 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-div: 87.0ms (79.8% of total)

ival-mult: 11.0ms (10.1% of total)

ival-pow: 5.0ms (4.6% of total)

ival-add: 2.0ms (1.8% of total)

ival-sub: 2.0ms (1.8% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series147.0ms (1.7%)

Memory

4.1MiB live, 42.6MiB allocated

Counts

11 → 300

Calls

Call 1

Inputs
#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 z) x) y) (patch (.f64 (.f64 (neg.f64 z) x) y) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 z) x) (patch (.f64 (neg.f64 z) x) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) (patch (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.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 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 y (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) (patch #s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* y z)))) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y)))) (taylor 0 z) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (.f64 (.f64 (neg.f64 z) x) y) (patch (.f64 (.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (.f64 (.f64 (neg.f64 z) x) y) (patch (.f64 (.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (.f64 (.f64 (neg.f64 z) x) y) (patch (.f64 (.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor 0 z) (#s(alt (.f64 (.f64 (neg.f64 z) x) y) (patch (.f64 (.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (.f64 (neg.f64 z) x) (patch (.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
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#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor 0 x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (.f64 (.f64 (neg.f64 z) x) y) (patch (.f64 (.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (.f64 (.f64 (neg.f64 z) x) y) (patch (.f64 (.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (.f64 (.f64 (neg.f64 z) x) y) (patch (.f64 (.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (.f64 (.f64 (neg.f64 z) x) y) (patch (.f64 (.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor inf x) (#s(alt (.f64 (neg.f64 z) x) (patch (.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor inf x) (#s(alt (.f64 (neg.f64 z) x) (patch (.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor inf x) (#s(alt (.f64 (neg.f64 z) x) (patch (.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor inf x) (#s(alt (.f64 (neg.f64 z) x) (patch (.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) (patch (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) (patch (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) (patch (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) (patch (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 z) x) y) (patch (.f64 (.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 z) x) y) (patch (.f64 (.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 z) x) y) (patch (.f64 (.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 z) x) y) (patch (.f64 (.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (.f64 (neg.f64 z) x) (patch (.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (.f64 (neg.f64 z) x) (patch (.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (.f64 (neg.f64 z) x) (patch (.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (.f64 (neg.f64 z) x) (patch (.f64 (neg.f64 z) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) (patch (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) (patch (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) (patch (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y z))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) (patch (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) (patch #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* y z))) (taylor -inf x) (#s(alt (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) (patch (.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (* (neg z) x) y) (* (neg z) x) (neg z) (/ x (/ (/ -1 z) y)) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (/ -1 z) y) (/ -1 z) (/ y (/ -1 z)) (* x (- 1 (* y z))) (- 1 (* y z)))
2.0ms	x	@	0	((/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (* (neg z) x) y) (* (neg z) x) (neg z) (/ x (/ (/ -1 z) y)) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (/ -1 z) y) (/ -1 z) (/ y (/ -1 z)) (* x (- 1 (* y z))) (- 1 (* y z)))
2.0ms	x	@	inf	((/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (* (neg z) x) y) (* (neg z) x) (neg z) (/ x (/ (/ -1 z) y)) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (/ -1 z) y) (/ -1 z) (/ y (/ -1 z)) (* x (- 1 (* y z))) (- 1 (* y z)))
2.0ms	z	@	inf	((/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (* (neg z) x) y) (* (neg z) x) (neg z) (/ x (/ (/ -1 z) y)) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (/ -1 z) y) (/ -1 z) (/ y (/ -1 z)) (* x (- 1 (* y z))) (- 1 (* y z)))
2.0ms	z	@	0	((/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (* (* (neg z) x) y) (* (neg z) x) (neg z) (/ x (/ (/ -1 z) y)) (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/ (/ -1 z) y) (/ -1 z) (/ y (/ -1 z)) (* x (- 1 (* y z))) (- 1 (* y z)))

simplify319.0ms (3.6%)

Memory

33.5MiB live, 272.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	2070
1	599	2004
2	2102	2004
3	7138	1956
0	8404	1908

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 294

Calls

Call 1

Inputs
x
(+ x (* -1 (* x (* y z))))
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
x
(+ x (* -1 (* x (* y z))))
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(/ -1 (* y z))
(/ -1 (* y z))
(/ -1 (* y z))
(/ -1 (* y z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
x
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
(+ x (* -1 (* x (* y z))))
1
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(+ 1 (* -1 (* y z)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (- (+ (* -1 (* x y)) (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) (pow z 2)))) (* -1 (/ x z))))
(* z (- (+ (* -1 (* x y)) (+ (* -1 (/ x (* (pow y 2) (pow z 3)))) (/ x (* (pow y 2) (pow z 3))))) (+ (* -1 (/ x z)) (+ (* -1 (/ x (* y (pow z 2)))) (/ x (* y (pow z 2)))))))
(/ -1 (* y z))
(/ -1 (* y z))
(/ -1 (* y z))
(/ -1 (* y z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* x (* y z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* z (+ (* -1 (* x y)) (/ x z)))
(* -1 (* y z))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* z (- (/ 1 z) y))
(* -1 (* x (* y z)))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y))))
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x
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x
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(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
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(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
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(/ (* x (- 1 (* (pow y 3) (pow z 3)))) (+ 1 (* y (* z (+ 1 (* y z))))))
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Outputs
x
(+ x (* -1 (* x (* y z))))
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(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
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(.f64 (neg.f64 y) (.f64 z x))
(* -1 (* x (* y z)))
(.f64 (neg.f64 y) (.f64 z x))
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(*.f64 (neg.f64 x) z)
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(.f64 (neg.f64 y) (.f64 z x))
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(.f64 (neg.f64 y) (.f64 z x))
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(.f64 (neg.f64 y) (.f64 z x))
x
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(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
(+ x (* z (- (* -1 (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
(+ x (* z (- (* z (- (* y (* z (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))) (* x y))))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
1
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(fma.f64 (neg.f64 y) z #s(literal 1 binary64))
(* -1 (* x (* y z)))
(.f64 (neg.f64 y) (.f64 z x))
(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
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(.f64 (neg.f64 y) (.f64 z x))
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(.f64 (neg.f64 y) (.f64 z x))
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(.f64 (neg.f64 y) (.f64 z x))
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(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
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(*.f64 (neg.f64 z) y)
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(.f64 (neg.f64 y) (.f64 z x))
(* z (+ (* -1 (* x y)) (/ x z)))
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(* z (+ (* -1 (* x y)) (/ x z)))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
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(fma.f64 (neg.f64 y) z #s(literal 1 binary64))
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(.f64 (neg.f64 y) (.f64 z x))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (* -1 x)) z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
(* -1 (* z (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ x (pow y 2)) (+ (* -1 (/ x (pow y 2))) (* 2 (/ x (pow y 2))))) z)) (+ (* -1 (/ x y)) (/ x y))) z)) (* -1 x)) z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
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(*.f64 (neg.f64 z) y)
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(.f64 (neg.f64 y) (.f64 z x))
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x y))))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
(* -1 (* y z))
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(* z (+ (* -1 y) (/ 1 z)))
(fma.f64 (neg.f64 y) z #s(literal 1 binary64))
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(fma.f64 (neg.f64 y) z #s(literal 1 binary64))
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(fma.f64 (neg.f64 y) z #s(literal 1 binary64))
x
(+ x (* -1 (* x (* y z))))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
(+ x (* y (- (* -1 (* y (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* y (* z (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (+ (* -1 (* x (pow z 2))) (* x (pow z 2))))) (* x z))))
(*.f64 (fma.f64 (neg.f64 y) z #s(literal 1 binary64)) x)
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rewrite1.1s (12.1%)

Memory

-20.2MiB live, 299.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	113
0	35	111
1	156	80
2	995	80
0	8994	80

Stop Event

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

Counts

11 → 269

Calls

Call 1

Inputs
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y))
(.f64 (.f64 (neg.f64 z) x) y)
(*.f64 (neg.f64 z) x)
(neg.f64 z)
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
(/.f64 (/.f64 #s(literal -1 binary64) z) y)
(/.f64 #s(literal -1 binary64) z)
(/.f64 y (/.f64 #s(literal -1 binary64) z))
(.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
#s(approx (- 1 (* y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z)))

Outputs
#<batchref>
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eval89.0ms (1%)

Memory: 25.4MiB live, 181.7MiB allocated
Compiler: Compiled 5 570 to 788 computations (85.9% saved)

prune43.0ms (0.5%)

Memory

-20.5MiB live, 139.5MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	589	1	590
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	589	9	598

Accuracy

100.0%

Counts

598 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.8%	(-.f64 x (.f64 (.f64 z y) x))
✓	66.6%	(.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
✓	49.1%	(.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
✓	49.2%	(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
✓	48.4%	(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
✓	49.2%	#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
	18.2%	#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x z) (.f64 x z) (.f64 #s(literal 0 binary64) (.f64 x z))))) y))
✓	50.6%	#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y))
✓	50.8%	#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))

Compiler

Compiled 312 to 157 computations (49.7% saved)

regimes37.0ms (0.4%)

Memory

-4.3MiB live, 115.9MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(-.f64 x (.f64 (.f64 x z) y))
(-.f64 x (.f64 (.f64 z y) x))
(fma.f64 (*.f64 x (neg.f64 y)) z x)
(fma.f64 (*.f64 x (neg.f64 z)) y x)
(.f64 x #s(approx (- 1 ( y z)) (/.f64 y (/.f64 #s(literal -1 binary64) z))))
(-.f64 x (*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) x))
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y)))
(.f64 x (fma.f64 (.f64 (.f64 (neg.f64 y) z) (.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
(.f64 x (fma.f64 (neg.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64))))
(.f64 (/.f64 x (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (.f64 y z) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 z y #s(literal 1 binary64)) (*.f64 z y) #s(literal 1 binary64)))
(.f64 x (+.f64 (pow.f64 (fma.f64 z y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 y) (/.f64 (.f64 (.f64 z z) y) (fma.f64 z y #s(literal 1 binary64))))))
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x z) (.f64 x z) (.f64 #s(literal 0 binary64) (.f64 x z))))) y))

Outputs
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))
(-.f64 x (.f64 (.f64 z y) x))

Calls

6 calls:

7.0ms	x
6.0ms	z
6.0ms	y
6.0ms	(-.f64 #s(literal 1 binary64) (*.f64 y z))
6.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Results

Accuracy	Segments	Branch
98.3%	2	`x`
97.6%	2	`y`
97.7%	2	`z`
98.8%	2	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
98.8%	2	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
98.8%	2	`(*.f64 y z)`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes8.0ms (0.1%)

Memory

-10.4MiB live, 29.3MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))
(-.f64 x (.f64 (.f64 x z) y))

Outputs
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.7%	2	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
98.7%	2	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
98.7%	2	`(*.f64 y z)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes14.0ms (0.2%)

Memory

13.1MiB live, 52.4MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y))
(.f64 x #s(approx (- 1 ( y z)) (*.f64 (neg.f64 z) y)))

Outputs

#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (*.f64 (neg.f64 z) (*.f64 y x)))

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

#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (*.f64 (*.f64 (neg.f64 z) x) y))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
78.1%	3	`y`
78.1%	3	`z`
60.4%	4	`x`
79.9%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
95.2%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
95.2%	3	`(*.f64 y z)`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

regimes3.0ms (0%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))

Outputs

#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (*.f64 (neg.f64 z) (*.f64 y x)))

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

#s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (*.f64 (neg.f64 z) (*.f64 y x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.1%	3	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
95.1%	3	`(*.f64 y z)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.1%)

Memory

-1.4MiB live, 38.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
48.4%	1	`x`
48.4%	1	`y`
48.4%	1	`z`
48.4%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z)))`
48.4%	1	`(-.f64 #s(literal 1 binary64) (*.f64 y z))`
48.4%	1	`(*.f64 y z)`

Compiler

Compiled 18 to 26 computations (-44.4% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.376801343106277e+268	-6.224721261085367e+265

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.376801343106277e+268	-6.224721261085367e+265

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0354216962497549	303972308.6141048
0.0ms	-2746.0819616819736	-3.8854315633077914e-13

Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0354216962497549	303972308.6141048
0.0ms	-2746.0819616819736	-3.8854315633077914e-13

Compiler

Compiled 10 to 13 computations (-30% saved)

simplify35.0ms (0.4%)

Memory

-6.3MiB live, 82.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	245
1	71	245
2	105	245
3	134	245
4	145	245
5	148	245

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 y z) #s(literal -50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (/ ( (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (-.f64 x (.f64 (.f64 z y) x)))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (/ ( (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))))
(if (<=.f64 (.f64 y z) #s(literal -2000 binary64)) #s(approx (/ ( (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (if (<=.f64 (.f64 y z) #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y))))
(if (<=.f64 (.f64 y z) #s(literal -2000 binary64)) #s(approx (/ ( (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (if (<=.f64 (.f64 y z) #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 (.f64 y z) #s(literal -50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (/ ( (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (-.f64 x (.f64 (.f64 z y) x)))
(if (<=.f64 (.f64 z y) #s(literal -50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (/ ( (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 x) y) z)) (-.f64 x (.f64 x (.f64 z y))))
(if (<=.f64 (.f64 y z) #s(literal -50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (/ ( (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y z))))
(if (<=.f64 (.f64 z y) #s(literal -50000000000000002337690944272806399459480271566520514342068243637200821969727794730518412909015166846953844406702247514466308409233121516573715663870848990819369463993231896779349876011917615551133003914686433569259646663053115171737631901339068877437098394231964172288 binary64)) #s(approx (/ ( (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 x) y) z)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 z y)) x))
(if (<=.f64 (.f64 y z) #s(literal -2000 binary64)) #s(approx (/ ( (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (if (<=.f64 (.f64 y z) #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 z) x) y))))
(if (<=.f64 (.f64 z y) #s(literal -2000 binary64)) #s(approx (/ ( (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 x) y) z)) (if (<=.f64 (.f64 z y) #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 x (neg.f64 z)) y))))
(if (<=.f64 (.f64 y z) #s(literal -2000 binary64)) #s(approx (/ ( (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x))) (if (<=.f64 (.f64 y z) #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 x #s(approx (- 1 (* y z)) #s(literal 1 binary64))) #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (neg.f64 z) (.f64 y x)))))
(if (<=.f64 (.f64 z y) #s(literal -2000 binary64)) #s(approx (/ ( (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 x) y) z)) (if (<=.f64 (.f64 z y) #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 #s(approx (- 1 (* y z)) #s(literal 1 binary64)) x) #s(approx (/ (* (- 1 (pow (* z y) 3)) x) (+ (* (+ (* z y) 1) (* z y)) 1)) (.f64 (.f64 (neg.f64 x) y) z))))
(.f64 x #s(approx (- 1 ( y z)) #s(literal 1 binary64)))
(.f64 #s(approx (- 1 ( y z)) #s(literal 1 binary64)) x)

soundness864.0ms (9.7%)

Memory

-9.6MiB live, 545.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	446
1	136	416
2	296	416
3	488	416
4	2008	416
5	5035	416
6	6541	416
7	7282	416
8	7487	416
9	7593	416
10	7673	416
0	8014	416
0	38	155
0	59	153
1	252	110
2	1759	110
0	9003	103
0	7	15
0	10	15
1	32	15
2	192	15
3	1532	15
0	9726	13
0	255	3716
1	895	3588
2	2985	3584
0	8267	3534

Stop Event

1×	fuel
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×	iter limit
1×	node limit

Compiler

Compiled 206 to 130 computations (36.9% saved)

preprocess131.0ms (1.5%)

Memory: 2.9MiB live, 282.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 462 to 232 computations (49.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19

start0.0ms (0%)

analyze0.0ms (0%)

sample942.0ms (10.6%)

explain109.0ms (1.2%)

preprocess68.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.2%)

localize35.0ms (0.4%)

series30.0ms (0.3%)

simplify195.0ms (2.2%)

rewrite349.0ms (3.9%)

eval203.0ms (2.3%)

prune62.0ms (0.7%)

simplify221.0ms (2.5%)

localize173.0ms (1.9%)

series70.0ms (0.8%)

simplify201.0ms (2.3%)

rewrite268.0ms (3%)

eval377.0ms (4.2%)

prune162.0ms (1.8%)

simplify138.0ms (1.6%)

localize145.0ms (1.6%)

series109.0ms (1.2%)

simplify347.0ms (3.9%)

rewrite470.0ms (5.3%)

eval456.0ms (5.1%)

prune196.0ms (2.2%)

simplify313.0ms (3.5%)

localize450.0ms (5.1%)

series147.0ms (1.7%)

simplify319.0ms (3.6%)

rewrite1.1s (12.1%)

eval89.0ms (1%)

prune43.0ms (0.5%)

regimes37.0ms (0.4%)

regimes8.0ms (0.1%)

regimes14.0ms (0.2%)

regimes3.0ms (0%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify35.0ms (0.4%)

soundness864.0ms (9.7%)

preprocess131.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
0	10	19
1	19	19
2	36	19
3	74	19
4	194	19
5	251	19
6	303	19
7	401	19
8	461	19
9	549	19
10	563	19
0	563	19