Metrics for Data.Colour.SRGB:transferFunction from colour-2.3.3

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

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 8 computations (11.1% saved)

sample770.0ms (17.1%)

Memory

28.8MiB live, 731.5MiB allocated; 111ms collecting garbage

Samples

503.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-add: 106.0ms (46.4% of total)

ival-mult: 69.0ms (30.2% of total)

ival-sub: 37.0ms (16.2% of total)

ival-true: 6.0ms (2.6% of total)

exact: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain101.0ms (2.2%)

Memory

5.5MiB live, 94.6MiB allocated; 31ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-add: 3.0ms (31.4% of total)

ival-mult: 3.0ms (31.4% of total)

ival-sub: 2.0ms (20.9% 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)

preprocess271.0ms (6%)

Memory

-39.8MiB live, 168.4MiB allocated; 88ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	26	43
2	57	41
3	194	40
4	746	36
5	2315	36
6	7181	36
0	6	7
0	9	7
1	13	7
2	24	7
3	72	7
4	260	7
5	1077	7
0	8229	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify223.0ms (5%)

Memory

17.7MiB live, 159.8MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	24	18
3	72	18
4	260	18
5	1077	18
0	8229	16

Stop Event

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

Calls

Call 1

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

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

localize16.0ms (0.4%)

Memory

27.9MiB live, 27.9MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
accuracy	0.01171875	(*.f64 (+.f64 x #s(literal 1 binary64)) y)

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 2.0ms (41.2% of total)

ival-sub: 1.0ms (20.6% of total)

ival-add: 1.0ms (20.6% 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)

series29.0ms (0.6%)

Memory

-38.6MiB live, 5.7MiB allocated; 6ms collecting garbage

Counts

3 → 19

Calls

Call 1

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

Outputs
y
(+ y (* x y))
(+ y (* x (- y 1)))
1
(+ 1 x)
(* x y)
(* x (+ y (/ y x)))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* y (+ 1 x))
(* -1 x)
(- (* y (+ 1 x)) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
1.0ms	y	@	inf	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
0.0ms	x	@	-inf	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
0.0ms	x	@	inf	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
0.0ms	y	@	-inf	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))

simplify142.0ms (3.2%)

Memory

22.2MiB live, 173.5MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	86
1	147	86
2	516	86
3	1778	86
4	5823	86
0	8272	76

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

rewrite45.0ms (1%)

Memory

-6.7MiB live, 84.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	37	15
0	279	15

Stop Event

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

Counts

3 → 34

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 554 to 139 computations (74.9% saved)

prune4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	6	42

Accuracy

100.0%

Counts

42 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.4%	(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) x)
▶	73.8%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶	100.0%	(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
▶	60.2%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
▶	60.2%	#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
▶	34.6%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Compiler

Compiled 142 to 108 computations (23.9% saved)

simplify149.0ms (3.3%)

Memory

11.0MiB live, 187.0MiB allocated; 43ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	114
0	29	114
1	37	108
2	52	108
3	95	108
4	332	108
5	1361	108
0	8085	108

Stop Event

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

Calls

Call 1

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

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

localize130.0ms (2.9%)

Memory

-25.1MiB live, 42.8MiB allocated; 76ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy	0.01171875	(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy	31.343362743845674	#s(approx (+ x 1) #s(literal 1 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	0.01171875	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
accuracy	31.30764590179701	#s(approx (* (+ x 1) y) (*.f64 y x))
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
accuracy	25.47548273023534	#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
accuracy	0.0	(neg.f64 x)
accuracy	41.856009287375855	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
accuracy	0.0	(fma.f64 y x y)
accuracy	0.0	#s(approx (* (+ x 1) y) (fma.f64 y x y))
accuracy	0.01171875	(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)

Samples

120.0ms

256×

valid

Compiler

Compiled 84 to 13 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-add: 34.0ms (80.2% of total)

ival-mult: 5.0ms (11.8% of total)

ival-sub: 2.0ms (4.7% of total)

ival-neg: 1.0ms (2.4% 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)

series7.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Counts

14 → 27

Calls

Call 1

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

Outputs
y
(+ y (* x (- y 1)))
(+ y (* x y))
(* -1 x)
(* x (- y 1))
(* x y)
1
(+ 1 x)
(* x (- (+ y (/ y x)) 1))
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(- (* y (+ 1 x)) x)
(* y (+ 1 x))
(+ (* -1 x) (* x y))
-1
(- y 1)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ x (* -1 (/ x y))))
(* y (- 1 (/ 1 y)))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (- (/ 1 y) 1)))

Calls

6 calls:

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

simplify129.0ms (2.9%)

Memory

-19.4MiB live, 71.9MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	124
1	187	124
2	642	124
3	2246	124
4	6720	124
0	8162	113

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 25

Calls

Call 1

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

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

rewrite39.0ms (0.9%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	103
0	29	103
1	111	97
0	808	97

Stop Event

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

Counts

14 → 69

Calls

Call 1

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

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

eval38.0ms (0.8%)

Memory: -28.1MiB live, 17.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 725 to 273 computations (84.2% saved)

prune4.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	78	6	84

Accuracy

100.0%

Counts

84 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) x)
✓	73.8%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	100.0%	(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
✓	60.2%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
✓	60.2%	#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	34.6%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Compiler

Compiled 71 to 54 computations (23.9% saved)

simplify161.0ms (3.6%)

Memory

-8.1MiB live, 89.8MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
cost-diff	0	(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) y)
cost-diff	0	(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
cost-diff	0	(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
0	20	59
1	34	59
2	68	59
3	144	59
4	286	59
5	747	59
6	5051	59
0	8642	59

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (1.2%)

Memory

-2.2MiB live, 41.9MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 x #s(literal 3 binary64))
accuracy	0.01171875	(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) x)
accuracy	2.833482893421166	(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) y)
accuracy	18.717002525649978	(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))

Samples

44.0ms

256×

valid

Compiler

Compiled 64 to 15 computations (76.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-pow: 26.0ms (72.9% of total)

ival-mult: 3.0ms (8.4% of total)

ival-sub: 3.0ms (8.4% of total)

ival-div: 2.0ms (5.6% of total)

ival-add: 1.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

5 → 37

Calls

Call 1

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

Outputs
y
(+ y (* -1 (* x (+ 1 (* -1 y)))))
(+ y (* x (- (* -1 (* x (+ y (* -1 y)))) (+ 1 (* -1 y)))))
(+ y (* x (- (* x (- (* x (- y (+ (* -1 y) (* 2 y)))) (+ y (* -1 y)))) (+ 1 (* -1 y)))))
(+ y (* x y))
(+ y (* x (- (* -1 (* x (+ y (* -1 y)))) (* -1 y))))
(+ y (* x (- (* x (- (* x (- y (+ (* -1 y) (* 2 y)))) (+ y (* -1 y)))) (* -1 y))))
(+ y (* (pow x 3) y))
1
(+ 1 (pow x 3))
(pow x 3)
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (* -1 (/ (+ y (* -1 y)) (pow x 2)))) (+ 1 (* -1 (/ y x)))))
(* x (- (+ y (/ y (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ y (pow x 3))) (+ (* 2 (/ y (pow x 3))) (/ y (pow x 2)))))))))
(* x y)
(* x (+ y (/ y x)))
(* x (- (+ y (* -1 (/ (+ y (* -1 y)) (pow x 2)))) (* -1 (/ y x))))
(* x (- (+ y (/ y (pow x 3))) (+ (* -1 (/ y x)) (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ y (pow x 3))) (+ (* 2 (/ y (pow x 3))) (/ y (pow x 2))))))))
(* (pow x 3) y)
(* (pow x 3) (+ y (/ y (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ y x)) (/ y x)) (* -1 y)) x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ y (* -1 y)) x)) (+ y (* -1 y))) x)) (* -1 y)) x))))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ y x)) (/ y x)) (* -1 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ y (* -1 y)) x)) (+ y (* -1 y))) x)) (* -1 y)) x)))))
(* -1 (* (pow x 3) (+ (* -1 y) (* -1 (/ y (pow x 3))))))
(* -1 x)
(- (* y (+ (/ 1 (- (+ 1 (pow x 2)) x)) (/ (pow x 3) (- (+ 1 (pow x 2)) x)))) x)
(/ (* y (+ 1 (pow x 3))) (- (+ 1 (pow x 2)) x))
(* y (+ 1 (pow x 3)))
(* y (+ (/ 1 (- (+ 1 (pow x 2)) x)) (/ (pow x 3) (- (+ 1 (pow x 2)) x))))
(* y (+ (* -1 (/ x y)) (+ (/ 1 (- (+ 1 (pow x 2)) x)) (/ (pow x 3) (- (+ 1 (pow x 2)) x)))))
(* -1 (* y (+ (* -1 (/ (+ 1 (pow x 3)) (- (+ 1 (pow x 2)) x))) (/ x y))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) (* (- (pow x 3) -1) y) (- (pow x 3) -1) (pow x 3))
2.0ms	y	@	inf	((- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) (* (- (pow x 3) -1) y) (- (pow x 3) -1) (pow x 3))
2.0ms	y	@	0	((- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) (* (- (pow x 3) -1) y) (- (pow x 3) -1) (pow x 3))
2.0ms	y	@	-inf	((- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) (* (- (pow x 3) -1) y) (- (pow x 3) -1) (pow x 3))
1.0ms	x	@	inf	((- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) (* (- (pow x 3) -1) y) (- (pow x 3) -1) (pow x 3))

simplify170.0ms (3.8%)

Memory

-4.8MiB live, 135.5MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	300
1	456	292
2	1973	288
0	8171	270

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 36

Calls

Call 1

Inputs
y
(+ y (* -1 (* x (+ 1 (* -1 y)))))
(+ y (* x (- (* -1 (* x (+ y (* -1 y)))) (+ 1 (* -1 y)))))
(+ y (* x (- (* x (- (* x (- y (+ (* -1 y) (* 2 y)))) (+ y (* -1 y)))) (+ 1 (* -1 y)))))
(+ y (* x y))
(+ y (* x (- (* -1 (* x (+ y (* -1 y)))) (* -1 y))))
(+ y (* x (- (* x (- (* x (- y (+ (* -1 y) (* 2 y)))) (+ y (* -1 y)))) (* -1 y))))
(+ y (* (pow x 3) y))
1
(+ 1 (pow x 3))
(pow x 3)
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (* -1 (/ (+ y (* -1 y)) (pow x 2)))) (+ 1 (* -1 (/ y x)))))
(* x (- (+ y (/ y (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ y (pow x 3))) (+ (* 2 (/ y (pow x 3))) (/ y (pow x 2)))))))))
(* x y)
(* x (+ y (/ y x)))
(* x (- (+ y (* -1 (/ (+ y (* -1 y)) (pow x 2)))) (* -1 (/ y x))))
(* x (- (+ y (/ y (pow x 3))) (+ (* -1 (/ y x)) (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ y (pow x 3))) (+ (* 2 (/ y (pow x 3))) (/ y (pow x 2))))))))
(* (pow x 3) y)
(* (pow x 3) (+ y (/ y (pow x 3))))
(* (pow x 3) (+ 1 (/ 1 (pow x 3))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ y x)) (/ y x)) (* -1 y)) x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ y (* -1 y)) x)) (+ y (* -1 y))) x)) (* -1 y)) x))))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ y x)) (/ y x)) (* -1 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ y (* -1 y)) x)) (+ y (* -1 y))) x)) (* -1 y)) x)))))
(* -1 (* (pow x 3) (+ (* -1 y) (* -1 (/ y (pow x 3))))))
(* -1 x)
(- (* y (+ (/ 1 (- (+ 1 (pow x 2)) x)) (/ (pow x 3) (- (+ 1 (pow x 2)) x)))) x)
(/ (* y (+ 1 (pow x 3))) (- (+ 1 (pow x 2)) x))
(* y (+ 1 (pow x 3)))
(* y (+ (/ 1 (- (+ 1 (pow x 2)) x)) (/ (pow x 3) (- (+ 1 (pow x 2)) x))))
(* y (+ (* -1 (/ x y)) (+ (/ 1 (- (+ 1 (pow x 2)) x)) (/ (pow x 3) (- (+ 1 (pow x 2)) x)))))
(* -1 (* y (+ (* -1 (/ (+ 1 (pow x 3)) (- (+ 1 (pow x 2)) x))) (/ x y))))

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

rewrite83.0ms (1.9%)

Memory

20.9MiB live, 65.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	20	45
1	91	45
0	769	45

Stop Event

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

Counts

5 → 50

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x) (pow.f64 (.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x) (pow.f64 (.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x)) (/.f64 (.f64 x x) (fma.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x) (pow.f64 (.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x) (pow.f64 (*.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) x)
(.f64 (/.f64 (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 y (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) y) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) y) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))))
(.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))

eval14.0ms (0.3%)

Memory: -18.6MiB live, 25.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 691 to 306 computations (81.9% saved)

prune3.0ms (0.1%)

Memory

8.3MiB live, 8.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	67	6	73

Accuracy

100.0%

Counts

73 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.8%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	100.0%	(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
✓	60.2%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
▶	48.2%	#s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
✓	60.2%	#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	34.6%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Compiler

Compiled 86 to 63 computations (26.7% saved)

simplify177.0ms (4%)

Memory

12.4MiB live, 116.7MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	67
0	25	66
1	45	66
2	105	66
3	361	66
4	1031	65
5	3172	65
6	7723	65
0	8447	65

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (1.8%)

Memory

-16.0MiB live, 76.5MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
accuracy	2.833482893421166	(fma.f64 (pow.f64 x #s(literal 3 binary64)) y y)
accuracy	18.717002525649978	(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
accuracy	21.286420109172322	#s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))

Samples

72.0ms

256×

valid

Compiler

Compiled 60 to 20 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-pow: 47.0ms (74.8% of total)

ival-mult: 5.0ms (8% of total)

ival-sub: 5.0ms (8% of total)

ival-div: 3.0ms (4.8% of total)

ival-add: 3.0ms (4.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (1%)

Memory

-33.5MiB live, 25.0MiB allocated; 34ms collecting garbage

Counts

5 → 43

Calls

Call 1

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

Outputs
y
(+ y (* -1 (* x (+ 1 (* -1 y)))))
(+ y (* x (- (* -1 (* x (+ y (* -1 y)))) (+ 1 (* -1 y)))))
(+ y (* x (- (* x (- (* x (- y (+ (* -1 y) (* 2 y)))) (+ y (* -1 y)))) (+ 1 (* -1 y)))))
(+ y (* x y))
(+ y (* x (- (* -1 (* x (+ y (* -1 y)))) (* -1 y))))
(+ y (* x (- (* x (- (* x (- y (+ (* -1 y) (* 2 y)))) (+ y (* -1 y)))) (* -1 y))))
(+ y (* (pow x 3) y))
(pow x 3)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (* -1 (/ (+ y (* -1 y)) (pow x 2)))) (+ 1 (* -1 (/ y x)))))
(* x (- (+ y (/ y (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ y (pow x 3))) (+ (* 2 (/ y (pow x 3))) (/ y (pow x 2)))))))))
(* x y)
(* x (+ y (/ y x)))
(* x (- (+ y (* -1 (/ (+ y (* -1 y)) (pow x 2)))) (* -1 (/ y x))))
(* x (- (+ y (/ y (pow x 3))) (+ (* -1 (/ y x)) (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ y (pow x 3))) (+ (* 2 (/ y (pow x 3))) (/ y (pow x 2))))))))
(* (pow x 3) y)
(* (pow x 3) (+ y (/ y (pow x 3))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ y x)) (/ y x)) (* -1 y)) x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ y (* -1 y)) x)) (+ y (* -1 y))) x)) (* -1 y)) x))))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ y x)) (/ y x)) (* -1 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ y (* -1 y)) x)) (+ y (* -1 y))) x)) (* -1 y)) x)))))
(* -1 (* (pow x 3) (+ (* -1 y) (* -1 (/ y (pow x 3))))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* -1 x)
(- (* y (+ (/ 1 (- (+ 1 (pow x 2)) x)) (/ (pow x 3) (- (+ 1 (pow x 2)) x)))) x)
(/ (* y (+ 1 (pow x 3))) (- (+ 1 (pow x 2)) x))
(* y (+ 1 (pow x 3)))
(* y (+ (/ 1 (- (+ 1 (pow x 2)) x)) (/ (pow x 3) (- (+ 1 (pow x 2)) x))))
(* y (+ (* -1 (/ x y)) (+ (/ 1 (- (+ 1 (pow x 2)) x)) (/ (pow x 3) (- (+ 1 (pow x 2)) x)))))
(* -1 (* y (+ (* -1 (/ (+ 1 (pow x 3)) (- (+ 1 (pow x 2)) x))) (/ x y))))
(* -1 (/ (* y (- (* -1 (pow x 3)) 1)) (- (+ 1 (pow x 2)) x)))
(* -1 (* y (- (* -1 (pow x 3)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	y	@	-inf	((- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (+ (* (pow x 3) y) y) (pow x 3) (- (+ (* x x) 1) x))
1.0ms	y	@	inf	((- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (+ (* (pow x 3) y) y) (pow x 3) (- (+ (* x x) 1) x))
1.0ms	y	@	0	((- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (+ (* (pow x 3) y) y) (pow x 3) (- (+ (* x x) 1) x))
1.0ms	x	@	-inf	((- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (+ (* (pow x 3) y) y) (pow x 3) (- (+ (* x x) 1) x))
1.0ms	x	@	inf	((- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (+ (* (pow x 3) y) y) (pow x 3) (- (+ (* x x) 1) x))

simplify160.0ms (3.6%)

Memory

43.0MiB live, 135.6MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	364
1	504	354
2	2108	350
0	8177	330

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 42

Calls

Call 1

Inputs
y
(+ y (* -1 (* x (+ 1 (* -1 y)))))
(+ y (* x (- (* -1 (* x (+ y (* -1 y)))) (+ 1 (* -1 y)))))
(+ y (* x (- (* x (- (* x (- y (+ (* -1 y) (* 2 y)))) (+ y (* -1 y)))) (+ 1 (* -1 y)))))
(+ y (* x y))
(+ y (* x (- (* -1 (* x (+ y (* -1 y)))) (* -1 y))))
(+ y (* x (- (* x (- (* x (- y (+ (* -1 y) (* 2 y)))) (+ y (* -1 y)))) (* -1 y))))
(+ y (* (pow x 3) y))
(pow x 3)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(* x (- y 1))
(* x (- (+ y (/ y x)) 1))
(* x (- (+ y (* -1 (/ (+ y (* -1 y)) (pow x 2)))) (+ 1 (* -1 (/ y x)))))
(* x (- (+ y (/ y (pow x 3))) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ y (pow x 3))) (+ (* 2 (/ y (pow x 3))) (/ y (pow x 2)))))))))
(* x y)
(* x (+ y (/ y x)))
(* x (- (+ y (* -1 (/ (+ y (* -1 y)) (pow x 2)))) (* -1 (/ y x))))
(* x (- (+ y (/ y (pow x 3))) (+ (* -1 (/ y x)) (+ (* -1 (/ y (pow x 2))) (+ (* -1 (/ y (pow x 3))) (+ (* 2 (/ y (pow x 3))) (/ y (pow x 2))))))))
(* (pow x 3) y)
(* (pow x 3) (+ y (/ y (pow x 3))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ y x)) (/ y x)) (* -1 y)) x))))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ y (* -1 y)) x)) (+ y (* -1 y))) x)) (* -1 y)) x))))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ y x)) (/ y x)) (* -1 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ y (* -1 y)) x)) (+ y (* -1 y))) x)) (* -1 y)) x)))))
(* -1 (* (pow x 3) (+ (* -1 y) (* -1 (/ y (pow x 3))))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* -1 x)
(- (* y (+ (/ 1 (- (+ 1 (pow x 2)) x)) (/ (pow x 3) (- (+ 1 (pow x 2)) x)))) x)
(/ (* y (+ 1 (pow x 3))) (- (+ 1 (pow x 2)) x))
(* y (+ 1 (pow x 3)))
(* y (+ (/ 1 (- (+ 1 (pow x 2)) x)) (/ (pow x 3) (- (+ 1 (pow x 2)) x))))
(* y (+ (* -1 (/ x y)) (+ (/ 1 (- (+ 1 (pow x 2)) x)) (/ (pow x 3) (- (+ 1 (pow x 2)) x)))))
(* -1 (* y (+ (* -1 (/ (+ 1 (pow x 3)) (- (+ 1 (pow x 2)) x))) (/ x y))))
(* -1 (/ (* y (- (* -1 (pow x 3)) 1)) (- (+ 1 (pow x 2)) x)))
(* -1 (* y (- (* -1 (pow x 3)) 1)))

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

rewrite87.0ms (1.9%)

Memory

-7.7MiB live, 93.0MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	59
0	25	58
1	136	33
0	1259	33

Stop Event

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

Counts

5 → 115

Calls

Call 1

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

Outputs
#s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x x))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (-.f64 (.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) y) (.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) y)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 y) y)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 6 binary64)) (.f64 y (-.f64 y (.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 y (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x x))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 y (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 y (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x x))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 y (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64))) (-.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 y) y))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 6 binary64)) (.f64 y (-.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) y) (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 y) y)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 y y) (pow.f64 x #s(literal 6 binary64)) (.f64 y (-.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) y)
(fma.f64 (.f64 y (.f64 x x)) x y)
(fma.f64 (.f64 y x) (.f64 x x) y)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y) y)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) y y)
(fma.f64 (.f64 x x) (.f64 x y) y)
(fma.f64 y (pow.f64 x #s(literal 3 binary64)) y)
(fma.f64 x (.f64 (.f64 x x) y) y)
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) (/.f64 (.f64 y y) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(-.f64 y (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) y))
(-.f64 y (*.f64 (neg.f64 y) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 x #s(literal 6 binary64)) (.f64 y (-.f64 y (.f64 (pow.f64 x #s(literal 3 binary64)) y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 y y) (pow.f64 x #s(literal 6 binary64)) (.f64 y (-.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)
(+.f64 y (*.f64 (pow.f64 x #s(literal 3 binary64)) y))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (fabs.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 x #s(literal -1 binary64)) (.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 x x (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) x))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))
(+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))

eval16.0ms (0.4%)

Memory: -17.5MiB live, 29.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 5 457 to 578 computations (89.4% saved)

prune6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	135	8	143

Accuracy

100.0%

Counts

143 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.8%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	100.0%	(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
✓	60.2%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
	48.2%	#s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) (/.f64 (fma.f64 (.f64 y (.f64 x x)) x y) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
	66.7%	#s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (fma.f64 y x y)))
	27.6%	#s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (*.f64 y x)))
✓	60.2%	#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	34.6%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Compiler

Compiled 380 to 167 computations (56.1% saved)

regimes19.0ms (0.4%)

Memory

-27.2MiB live, 19.8MiB allocated; 2ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.3%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
98.9%	3	`x`
98.5%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
71.3%	2	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
88.4%	3	`y`
90.4%	3	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
88.4%	3	`y`
69.6%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes36.0ms (0.8%)

Memory

-36.5MiB live, 10.5MiB allocated; 2ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

33.0ms	x
1.0ms	y
1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Results

Accuracy	Segments	Branch
38.2%	2	`x`
50.5%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
58.8%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
34.6%	1	`x`
34.6%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
34.6%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch30.0ms (0.7%)

Memory

26.5MiB live, 71.5MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.9906477932777394e-6	1001.7755838503765
16.0ms	-2416.0571827205617	-5.8292287741782993e-5

Samples

12.0ms

288×

valid

Compiler

Compiled 406 to 371 computations (8.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 2.0ms (36.2% of total)

ival-mult: 2.0ms (36.2% of total)

ival-sub: 1.0ms (18.1% 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)

bsearch50.0ms (1.1%)

Memory

10.4MiB live, 90.4MiB allocated; 31ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	17747818750613028.0	7.352090912450396e+19
26.0ms	-5.8292287741782993e-5	-2.032159504233436e-19

Samples

35.0ms

288×

valid

Compiler

Compiled 928 to 605 computations (34.8% saved)

Precisions

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

ival-add: 2.0ms (37% of total)

ival-mult: 2.0ms (37% of total)

ival-sub: 1.0ms (18.5% 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)

bsearch74.0ms (1.6%)

Memory

-21.2MiB live, 85.8MiB allocated; 30ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	4.189000159534821e-27	1.0486565350903754e-17
19.0ms	-5.702201451619498e-79	-6.970330341344049e-86

Samples

53.0ms

288×

valid

Compiler

Compiled 874 to 569 computations (34.9% saved)

Precisions

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

ival-add: 3.0ms (32.2% of total)

ival-mult: 3.0ms (32.2% of total)

ival-sub: 2.0ms (21.4% of total)

ival-assert: 1.0ms (10.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch41.0ms (0.9%)

Memory

-10.6MiB live, 37.3MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.009370437176943747	0.042596190400089
15.0ms	-308.2847589629082	-0.470654468652669

Samples

28.0ms

224×

valid

Compiler

Compiled 668 to 445 computations (33.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-add: 17.0ms (79.3% of total)

ival-mult: 2.0ms (9.3% of total)

ival-sub: 1.0ms (4.7% 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)

simplify58.0ms (1.3%)

Memory

22.3MiB live, 67.6MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	226
1	98	226
2	168	226
3	463	226
4	1541	226
5	6661	226

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 x #s(literal -8318957063997755/19807040628566084398385987584 binary64)) #s(approx (- (* (+ x 1) y) x) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 18000000000000000 binary64)) #s(approx (- (/ ( (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (fma.f64 y x y))) #s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -3827688768370271/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) #s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (fma.f64 y x y))) (if (<=.f64 y #s(literal 6620178494631905/649037107316853453566312041152512 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (fma.f64 y x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (.f64 y x))) (if (<=.f64 y #s(literal 6052837899185947/144115188075855872 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (*.f64 y x)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Outputs
(-.f64 #s(approx (* (+ x 1) y) (fma.f64 y x y)) x)
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (* (+ x 1) y) x) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) #s(approx (- (* (+ x 1) y) x) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))
(if (<=.f64 x #s(literal -8318957063997755/19807040628566084398385987584 binary64)) #s(approx (- (* (+ x 1) y) x) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 18000000000000000 binary64)) #s(approx (- (/ ( (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (fma.f64 y x y))) #s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (or (<=.f64 x #s(literal -8318957063997755/19807040628566084398385987584 binary64)) (not (<=.f64 x #s(literal 18000000000000000 binary64)))) #s(approx (- (* (+ x 1) y) x) (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(approx (- (/ ( (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -3827688768370271/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) #s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (fma.f64 y x y))) (if (<=.f64 y #s(literal 6620178494631905/649037107316853453566312041152512 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (fma.f64 y x y)))))
(if (or (<=.f64 y #s(literal -3827688768370271/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) (not (<=.f64 y #s(literal 6620178494631905/649037107316853453566312041152512 binary64)))) #s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (fma.f64 y x y))) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (.f64 y x))) (if (<=.f64 y #s(literal 6052837899185947/144115188075855872 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (*.f64 y x)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 6052837899185947/144115188075855872 binary64)))) #s(approx (- (/ (* (- (pow x 3) -1) y) (+ (* x x) (- 1 x))) x) #s(approx (/ (+ (* (pow x 3) y) y) (- (+ (* x x) 1) x)) (.f64 y x))) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

derivations953.0ms (21.2%)

Memory

-8.2MiB live, 601.6MiB allocated; 123ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	300
1	456	292
2	1973	288
0	8171	270
0	6	15
0	9	15
1	37	15
0	279	15
0	144	364
1	504	354
2	2108	350
0	8177	330
0	41	86
1	147	86
2	516	86
3	1778	86
4	5823	86
0	8272	76

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 226 to 64 computations (71.7% saved)

preprocess43.0ms (1%)

Memory: 2.0MiB live, 97.2MiB allocated; 17ms collecting garbage
Compiler: Compiled 466 to 140 computations (70% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample770.0ms (17.1%)

explain101.0ms (2.2%)

preprocess271.0ms (6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify223.0ms (5%)

localize16.0ms (0.4%)

series29.0ms (0.6%)

simplify142.0ms (3.2%)

rewrite45.0ms (1%)

eval5.0ms (0.1%)

prune4.0ms (0.1%)

simplify149.0ms (3.3%)

localize130.0ms (2.9%)

series7.0ms (0.2%)

simplify129.0ms (2.9%)

rewrite39.0ms (0.9%)

eval38.0ms (0.8%)

prune4.0ms (0.1%)

simplify161.0ms (3.6%)

localize53.0ms (1.2%)

series10.0ms (0.2%)

simplify170.0ms (3.8%)

rewrite83.0ms (1.9%)

eval14.0ms (0.3%)

prune3.0ms (0.1%)

simplify177.0ms (4%)

localize81.0ms (1.8%)

series44.0ms (1%)

simplify160.0ms (3.6%)

rewrite87.0ms (1.9%)

eval16.0ms (0.4%)

prune6.0ms (0.1%)

regimes19.0ms (0.4%)

regimes7.0ms (0.2%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes36.0ms (0.8%)

regimes3.0ms (0.1%)

bsearch30.0ms (0.7%)

bsearch50.0ms (1.1%)

bsearch74.0ms (1.6%)

bsearch41.0ms (0.9%)

simplify58.0ms (1.3%)

derivations953.0ms (21.2%)

preprocess43.0ms (1%)

end0.0ms (0%)

Profiling