Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze34.0ms (1.2%)

Memory

-10.0MiB live, 31.4MiB allocated; 10ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (35.7%)

Memory

40.2MiB live, 1 078.2MiB allocated; 293ms collecting garbage

Samples

721.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 270.0ms

ival-mult: 136.0ms (50.3% of total)

ival-add: 65.0ms (24% of total)

ival-div: 51.0ms (18.9% of total)

ival-true: 6.0ms (2.2% of total)

exact: 6.0ms (2.2% of total)

ival-assert: 4.0ms (1.5% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain65.0ms (2.2%)

Memory

-29.0MiB live, 217.8MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
23	-	-	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
0	-	-	`(+.f64 y #s(literal 1 binary64))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`	o/n	23	0
↳	`(*.f64 x y)`	overflow	23

Confusion

	Predicted +	Predicted -
+	23	0
-	0	233

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	0
-	0	0	233

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	233
1	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

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

ival-div: 4.0ms (32.6% of total)

ival-mult: 4.0ms (32.6% of total)

ival-add: 3.0ms (24.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess244.0ms (8.3%)

Memory

45.5MiB live, 268.7MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	41	39
2	108	37
3	235	37
4	335	37
5	918	35
6	7096	35
0	6	7
0	9	7
1	15	7
2	21	7
3	33	7
4	67	7
5	276	7
6	2491	7
7	6215	7
0	8213	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune23.0ms (0.8%)

Memory

-56.2MiB live, 0.8MiB allocated; 28ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.5%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series21.0ms (0.7%)

Memory

31.6MiB live, 31.6MiB allocated; 0ms collecting garbage

Counts

6 → 18

Calls

Call 1

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

Outputs
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ y 1) #s(hole binary64 1))
#s(approx (+ y 1) #s(hole binary64 (+ 1 y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (+ y 1) #s(hole binary64 y))
#s(approx (+ y 1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	((/ (* x y) (+ y 1)) (* x y) x y (+ y 1) 1)
2.0ms	x	@	-inf	((/ (* x y) (+ y 1)) (* x y) x y (+ y 1) 1)
2.0ms	y	@	-inf	((/ (* x y) (+ y 1)) (* x y) x y (+ y 1) 1)
1.0ms	x	@	inf	((/ (* x y) (+ y 1)) (* x y) x y (+ y 1) 1)
1.0ms	y	@	inf	((/ (* x y) (+ y 1)) (* x y) x y (+ y 1) 1)

simplify151.0ms (5.2%)

Memory

-5.7MiB live, 180.9MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	238
1	168	226
2	417	218
3	1557	218
0	8071	216

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

Calls

Call 1

Inputs
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ y 1) #s(hole binary64 1))
#s(approx (+ y 1) #s(hole binary64 (+ 1 y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (+ y 1) #s(hole binary64 y))
#s(approx (+ y 1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))

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

rewrite43.0ms (1.5%)

Memory

17.3MiB live, 63.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	32	16
0	189	16

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 26

Calls

Call 1

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

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

eval7.0ms (0.2%)

Memory: -33.8MiB live, 12.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 495 to 113 computations (77.2% saved)

prune5.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	5	44

Accuracy

100.0%

Counts

44 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.9%	(*.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64))))
▶	52.9%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	47.3%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
▶	48.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
▶	53.8%	#s(approx (/ (* x y) (+ y 1)) x)

Compiler

Compiled 110 to 80 computations (27.3% saved)

series13.0ms (0.4%)

Memory

32.9MiB live, 32.9MiB allocated; 0ms collecting garbage

Counts

16 → 62

Calls

Call 1

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

Outputs
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ x (+ 1 y))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* x (* y (+ 1 (* -1 y))))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* x (+ 1 (* -1 y)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- x (/ x y)) #s(hole binary64 (* x (- 1 (/ 1 y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* -1 (* x (* y (- y 1))))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* x (- y 1)))))
#s(approx (- x (/ x y)) #s(hole binary64 (* -1 (* x (- (/ 1 y) 1)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* x y)))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ x (- y -1)) #s(hole binary64 x))
#s(approx (/ x (- y -1)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (+ x (* y (- (* x y) x)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))))
#s(approx (- y -1) #s(hole binary64 1))
#s(approx (- y -1) #s(hole binary64 (+ 1 y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* x y)))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 x))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (- x (/ x y)) #s(hole binary64 (* -1 (/ x y))))
#s(approx (- x (/ x y)) #s(hole binary64 (/ (- (* x y) x) y)))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 x))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ x y)))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ (+ x (* -1 (/ x y))) y)))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ (- (+ x (/ x (pow y 2))) (/ x y)) y)))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)))
#s(approx (- y -1) #s(hole binary64 y))
#s(approx (- y -1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (- x (/ x y)) #s(hole binary64 x))
#s(approx (- x (/ x y)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ x y)) y))))
#s(approx (/ x (- y -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))))
#s(approx (/ x (- y -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))

Calls

6 calls:

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

simplify229.0ms (7.8%)

Memory

-11.8MiB live, 284.7MiB allocated; 126ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	894
1	381	823
2	948	803
3	2992	803
0	8175	794

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 62

Calls

Call 1

Inputs
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ x (+ 1 y))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* x (* y (+ 1 (* -1 y))))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* x (+ 1 (* -1 y)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- x (/ x y)) #s(hole binary64 (* x (- 1 (/ 1 y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* -1 (* x (* y (- y 1))))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* x (- y 1)))))
#s(approx (- x (/ x y)) #s(hole binary64 (* -1 (* x (- (/ 1 y) 1)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* x y)))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ x (- y -1)) #s(hole binary64 x))
#s(approx (/ x (- y -1)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (+ x (* y (- (* x y) x)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))))
#s(approx (- y -1) #s(hole binary64 1))
#s(approx (- y -1) #s(hole binary64 (+ 1 y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* x y)))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 x))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (- x (/ x y)) #s(hole binary64 (* -1 (/ x y))))
#s(approx (- x (/ x y)) #s(hole binary64 (/ (- (* x y) x) y)))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 x))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ x y)))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ (+ x (* -1 (/ x y))) y)))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ (- (+ x (/ x (pow y 2))) (/ x y)) y)))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)))
#s(approx (- y -1) #s(hole binary64 y))
#s(approx (- y -1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (- x (/ x y)) #s(hole binary64 x))
#s(approx (- x (/ x y)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ x y)) y))))
#s(approx (/ x (- y -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))))
#s(approx (/ x (- y -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))

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

rewrite39.0ms (1.3%)

Memory

-10.7MiB live, 34.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	91
0	30	91
1	95	91
0	582	91

Stop Event

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

Counts

16 → 89

Calls

Call 1

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

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

eval17.0ms (0.6%)

Memory: -14.2MiB live, 30.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 385 to 399 computations (83.3% saved)

prune7.0ms (0.3%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	145	6	151

Accuracy

100.0%

Counts

151 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.9%	(*.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64))))
▶	47.3%	#s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 x) y) y (.f64 x y)))
✓	52.9%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	47.3%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
✓	48.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓	53.8%	#s(approx (/ (* x y) (+ y 1)) x)

Compiler

Compiled 72 to 51 computations (29.2% saved)

series7.0ms (0.2%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Counts

7 → 22

Calls

Call 1

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

Outputs
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* x (+ y (* -1 (pow y 2))))))
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (pow y 2))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* x y)))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((/ (* x y) (+ y 1)) (+ (* (* (neg x) y) y) (* x y)) (* (neg x) y) (neg x) x y (* x y))
2.0ms	x	@	inf	((/ (* x y) (+ y 1)) (+ (* (* (neg x) y) y) (* x y)) (* (neg x) y) (neg x) x y (* x y))
1.0ms	x	@	-inf	((/ (* x y) (+ y 1)) (+ (* (* (neg x) y) y) (* x y)) (* (neg x) y) (neg x) x y (* x y))
1.0ms	y	@	-inf	((/ (* x y) (+ y 1)) (+ (* (* (neg x) y) y) (* x y)) (* (neg x) y) (neg x) x y (* x y))
1.0ms	y	@	inf	((/ (* x y) (+ y 1)) (+ (* (* (neg x) y) y) (* x y)) (* (neg x) y) (neg x) x y (* x y))

simplify145.0ms (5%)

Memory

-19.4MiB live, 163.4MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	323
1	222	301
2	533	293
3	1680	293
4	7092	293
0	8259	290

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

Inputs
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* x (+ y (* -1 (pow y 2))))))
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (pow y 2))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* x y)))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))

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

rewrite53.0ms (1.8%)

Memory

18.2MiB live, 63.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
0	16	35
1	59	35
0	402	33

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

7 → 48

Calls

Call 1

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

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

eval14.0ms (0.5%)

Memory: -33.1MiB live, 25.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 1 505 to 210 computations (86% saved)

prune3.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	70	7	77

Accuracy

100.0%

Counts

77 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.9%	(*.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64))))
✓	52.9%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	47.3%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
▶	47.3%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
▶	47.3%	#s(approx (/ (* x y) (+ y 1)) (.f64 (neg.f64 x) (-.f64 (.f64 y y) y)))
✓	48.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓	53.8%	#s(approx (/ (* x y) (+ y 1)) x)

Compiler

Compiled 86 to 62 computations (27.9% saved)

series12.0ms (0.4%)

Memory

-11.2MiB live, 36.3MiB allocated; 2ms collecting garbage

Counts

12 → 35

Calls

Call 1

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

Outputs
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* -1 (* x (- (pow y 2) y)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* x (* y (- 1 y)))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* x y)))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (- (* y y) y) #s(hole binary64 (* -1 y)))
#s(approx (- (* y y) y) #s(hole binary64 (* y (- y 1))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* x y)))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (- 1 y) #s(hole binary64 1))
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (- (* y y) y) #s(hole binary64 (pow y 2)))
#s(approx (- (* y y) y) #s(hole binary64 (* (pow y 2) (- 1 (/ 1 y)))))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (- 1 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y))))))

Calls

6 calls:

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

simplify150.0ms (5.1%)

Memory

26.8MiB live, 270.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	467
1	246	454
2	620	430
3	2305	429
0	8460	426

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

Inputs
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* -1 (* x (- (pow y 2) y)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* x (* y (- 1 y)))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* x y)))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (- (* y y) y) #s(hole binary64 (* -1 y)))
#s(approx (- (* y y) y) #s(hole binary64 (* y (- y 1))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* x y)))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (- 1 y) #s(hole binary64 1))
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (- (* y y) y) #s(hole binary64 (pow y 2)))
#s(approx (- (* y y) y) #s(hole binary64 (* (pow y 2) (- 1 (/ 1 y)))))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (- 1 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y))))))

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

rewrite93.0ms (3.2%)

Memory

-22.1MiB live, 74.2MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	65
0	22	65
1	75	65
0	474	65

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

12 → 58

Calls

Call 1

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

Outputs
#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 (.f64 y y) y) (neg.f64 x)))
(.f64 (-.f64 (.f64 y y) y) (neg.f64 x))
(.f64 (neg.f64 x) (-.f64 (.f64 y y) y))
(.f64 x (neg.f64 (-.f64 (.f64 y y) y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y)) (neg.f64 x)) (fma.f64 y y y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y y))) (fma.f64 y y y))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (.f64 (-.f64 (.f64 y y) y) x))
(neg.f64 x)
x
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 y y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y)) (fma.f64 y y y))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y y)) (/.f64 (*.f64 y y) (fma.f64 y y y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 y y y) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (*.f64 y y) y)
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(neg.f64 (*.f64 y (neg.f64 y)))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
y
#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) y))
(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))
(.f64 y (.f64 x (-.f64 #s(literal 1 binary64) y)))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) y))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 y x)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 y x)) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 y x)
(*.f64 x y)

eval9.0ms (0.3%)

Memory: 20.1MiB live, 20.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 804 to 319 computations (82.3% saved)

prune19.0ms (0.7%)

Memory

-31.3MiB live, 14.8MiB allocated; 8ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	93	7	100

Accuracy

100.0%

Counts

100 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.9%	(*.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64))))
✓	52.9%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	47.3%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
✓	47.3%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
✓	47.3%	#s(approx (/ (* x y) (+ y 1)) (.f64 (neg.f64 x) (-.f64 (.f64 y y) y)))
✓	48.2%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓	53.8%	#s(approx (/ (* x y) (+ y 1)) x)

Compiler

Compiled 196 to 96 computations (51% saved)

regimes10.0ms (0.3%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	2	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
99.9%	2	`x`
100.0%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.3%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	3	`y`
83.9%	1	`x`
91.0%	3	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.5%)

Memory

-39.6MiB live, 6.6MiB allocated; 4ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.2%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0.1%)

Memory

5.7MiB live, 5.6MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.2%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
97.7%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* x y) (+ y 1)) x)

Outputs
#s(approx (/ (* x y) (+ y 1)) x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.8%	1	`x`
53.8%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
53.8%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.782103463608031e+258	+inf

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch29.0ms (1%)

Memory

4.2MiB live, 49.0MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	175.3380909870322	360763367.13001937
15.0ms	-9.947788605999471e+118	-5.7951697701703896e+113

Samples

13.0ms

288×

valid

Compiler

Compiled 334 to 299 computations (10.5% saved)

Precisions

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

ival-div: 2.0ms (30.5% of total)

ival-add: 2.0ms (30.5% of total)

ival-mult: 2.0ms (30.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.9%)

Memory

-10.2MiB live, 41.1MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.6491025694441014e-5	175.3380909870322
8.0ms	-3.534748603232664	-0.7026668391544331

Samples

15.0ms

240×

valid

Compiler

Compiled 460 to 341 computations (25.9% saved)

Precisions

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

ival-mult: 6.0ms (62.4% of total)

ival-div: 2.0ms (20.8% of total)

ival-add: 1.0ms (10.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.6491025694441014e-5	175.3380909870322
1.0ms	-3.534748603232664	-0.7026668391544331

Compiler

Compiled 430 to 326 computations (24.2% saved)

bsearch7.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
5.0ms	3.6491025694441014e-5	175.3380909870322
0.0ms	-3.534748603232664	-0.7026668391544331

Samples

3.0ms

64×

valid

Compiler

Compiled 370 to 296 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.6491025694441014e-5	175.3380909870322
1.0ms	-3.534748603232664	-0.7026668391544331

Compiler

Compiled 370 to 311 computations (15.9% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.6491025694441014e-5	175.3380909870322
0.0ms	-3.534748603232664	-0.7026668391544331

Compiler

Compiled 310 to 266 computations (14.2% saved)

simplify61.0ms (2.1%)

Memory

-14.1MiB live, 78.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	243
1	77	243
2	99	243
3	116	243
4	145	243
5	341	243
6	2669	243
7	6623	243

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 4999999999999999643869202601833787684383696604057883061158907403507350476772637470038731707205691382212371948847737817627161465582505612835893571796906113885524272303729023396898222485216041336918158235836889309742729449874044809349717855383877140544617447424 binary64)) (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(approx (/ (* x y) (+ y 1)) x))
(if (<=.f64 y #s(literal -579999999999999968013510265409295372091140051758815030982540107402150410092359437707072791162428959211327573721088 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 57000000 binary64)) (.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64)))) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 x) y) y (.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (fma.f64 (neg.f64 x) y x) y)) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (fma.f64 (neg.f64 x) y x) y)) #s(approx (/ ( x y) (+ y 1)) x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #s(approx (/ (* x y) (+ y 1)) x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 y x)) #s(approx (/ ( x y) (+ y 1)) x)))
#s(approx (/ (* x y) (+ y 1)) x)

Outputs
(if (<=.f64 (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 4999999999999999643869202601833787684383696604057883061158907403507350476772637470038731707205691382212371948847737817627161465582505612835893571796906113885524272303729023396898222485216041336918158235836889309742729449874044809349717855383877140544617447424 binary64)) (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(approx (/ (* x y) (+ y 1)) x))
(if (<=.f64 y #s(literal -579999999999999968013510265409295372091140051758815030982540107402150410092359437707072791162428959211327573721088 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 57000000 binary64)) (.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64)))) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 x) y) y (.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 x) y) y (.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (fma.f64 (neg.f64 x) y x) y)) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (fma.f64 (neg.f64 x) y x) y)) #s(approx (/ ( x y) (+ y 1)) x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))) #s(approx (/ (* x y) (+ y 1)) x)))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 3/4 binary64)))) #s(approx (/ (* x y) (+ y 1)) x) #s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 y x)) #s(approx (/ ( x y) (+ y 1)) x)))
#s(approx (/ (* x y) (+ y 1)) x)

derivations253.0ms (8.6%)

Memory

-16.7MiB live, 222.9MiB allocated; 15ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 259 to 54 computations (79.2% saved)

preprocess52.0ms (1.8%)

Memory: 23.5MiB live, 122.5MiB allocated; 15ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 680 to 194 computations (71.5% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze34.0ms (1.2%)

sample1.0s (35.7%)

explain65.0ms (2.2%)

preprocess244.0ms (8.3%)

eval0.0ms (0%)

prune23.0ms (0.8%)

series21.0ms (0.7%)

simplify151.0ms (5.2%)

rewrite43.0ms (1.5%)

eval7.0ms (0.2%)

prune5.0ms (0.2%)

series13.0ms (0.4%)

simplify229.0ms (7.8%)

rewrite39.0ms (1.3%)

eval17.0ms (0.6%)

prune7.0ms (0.3%)

series7.0ms (0.2%)

simplify145.0ms (5%)

rewrite53.0ms (1.8%)

eval14.0ms (0.5%)

prune3.0ms (0.1%)

series12.0ms (0.4%)

simplify150.0ms (5.1%)

rewrite93.0ms (3.2%)

eval9.0ms (0.3%)

prune19.0ms (0.7%)

regimes10.0ms (0.3%)

regimes9.0ms (0.3%)

regimes3.0ms (0.1%)

regimes15.0ms (0.5%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch29.0ms (1%)

bsearch26.0ms (0.9%)

bsearch2.0ms (0.1%)

bsearch7.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify61.0ms (2.1%)

derivations253.0ms (8.6%)

preprocess52.0ms (1.8%)

end0.0ms (0%)

Profiling