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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample866.0ms (21.4%)

Memory

6.8MiB live, 1 096.6MiB allocated; 358ms collecting garbage

Samples

565.0ms	8 252×	0	valid
28.0ms	3×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 349.0ms

ival-add: 202.0ms (58% of total)

ival-mult: 80.0ms (23% of total)

ival-sub: 50.0ms (14.3% of total)

ival-true: 5.0ms (1.4% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 4.0ms (1.1% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain104.0ms (2.6%)

Memory

-14.1MiB live, 143.0MiB allocated; 40ms 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

62.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-sub: 5.0ms (37.1% of total)

ival-mult: 4.0ms (29.7% of total)

ival-add: 3.0ms (22.3% 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)

preprocess86.0ms (2.1%)

Memory

-20.2MiB live, 116.5MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	26	43
2	54	41
3	156	41
4	295	36
5	545	35
6	947	35
7	1309	35
8	1363	35
9	1363	35
0	6	7
0	9	7
1	13	7
2	21	7
3	52	7
4	94	7
5	180	7
6	295	7
7	457	7
8	610	7
9	720	7
10	740	7
0	740	6

Stop Event

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

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

1.2MiB live, 1.2MiB 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)

simplify0.0ms (0%)

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

series4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

6 → 19

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

Calls

6 calls:

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

simplify115.0ms (2.9%)

Memory

11.9MiB live, 200.1MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	86
1	147	86
2	470	86
3	1356	86
4	3121	86
5	5488	86
6	6746	86
0	8030	76

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

rewrite261.0ms (6.5%)

Memory

21.8MiB live, 307.8MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	37	18
2	246	18
3	2969	18
0	10458	16

Stop Event

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

Counts

6 → 273

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 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (fma.f64 y x y)) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (-.f64 (fma.f64 y x y) x))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x)))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x y) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x) (-.f64 (.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x) (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x y) #s(literal 4 binary64))))
(*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (/.f64 (-.f64 (fma.f64 y x y) x) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)))
(*.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 y x y) x) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (*.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (*.f64 x x))) (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (*.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))))) (.f64 (neg.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))))) (.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64))) (-.f64 (fma.f64 y x y) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 6 binary64)) (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (*.f64 x (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)) (.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) (*.f64 x x))) (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))) (.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (fma.f64 y x y) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x y) #s(literal 4 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) x) x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) x) x))
(neg.f64 (-.f64 (fma.f64 y x y) x))
(fma.f64 (fabs.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 (fabs.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 x))
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(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 y x y) (.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 y x y) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (sqrt.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) (exp.f64 (log1p.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) y) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (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 (-.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 y (.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (*.f64 y x) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.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 (fabs.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y)) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) y)
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) y (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) y))
(fma.f64 y (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 y (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(fma.f64 y #s(literal 1 binary64) (*.f64 y x))
(fma.f64 y x y)
(fma.f64 #s(literal 1 binary64) (*.f64 y x) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y x))
(fma.f64 x y y)
(sqrt.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)))
(-.f64 (.f64 y x) (.f64 #s(literal -1 binary64) y))
(-.f64 (.f64 y x) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 y (*.f64 (neg.f64 x) y))
(-.f64 y (*.f64 (neg.f64 y) x))
(fabs.f64 (-.f64 (.f64 #s(literal -1 binary64) y) (.f64 y x)))
(fabs.f64 (-.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 y x)))
(fabs.f64 (-.f64 (*.f64 (neg.f64 x) y) y))
(fabs.f64 (-.f64 (*.f64 (neg.f64 y) x) y))
(fabs.f64 (neg.f64 (neg.f64 (fma.f64 y x y))))
(fabs.f64 (neg.f64 (fma.f64 y x y)))
(fabs.f64 (fma.f64 y x y))
(exp.f64 (/.f64 (log.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 x)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (log1p.f64 x)))
(+.f64 (cosh.f64 (+.f64 (log.f64 y) (log1p.f64 x))) (sinh.f64 (+.f64 (log.f64 y) (log1p.f64 x))))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) y) (.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) y))
(+.f64 (.f64 y (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (.f64 y (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(+.f64 (*.f64 y x) y)
(+.f64 y (*.f64 y x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 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 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (/.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 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.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 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.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 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 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 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 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)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 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))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (neg.f64 x)))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
x
#s(literal 1 binary64)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
y

eval90.0ms (2.2%)

Memory: -3.4MiB live, 85.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 5 709 to 979 computations (82.9% saved)

prune41.0ms (1%)

Memory

-36.2MiB live, 32.5MiB allocated; 15ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	292	5	297
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	293	5	298

Accuracy

100.0%

Counts

298 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (-.f64 y x))
▶	76.3%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) 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))
▶	37.2%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Compiler

Compiled 98 to 76 computations (22.4% saved)

simplify0.0ms (0%)

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

series8.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

16 → 34

Calls

Call 1

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

Calls

6 calls:

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

simplify150.0ms (3.7%)

Memory

-8.8MiB live, 122.0MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	147
1	226	141
2	682	141
3	1780	141
4	3800	141
5	4982	141
6	5845	141
7	6662	141
8	7402	141
9	7745	141
0	8841	129

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 32

Calls

Call 1

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

rewrite364.0ms (9%)

Memory

-4.1MiB live, 427.0MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	89
0	28	89
1	111	87
2	821	87
0	8627	85

Stop Event

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

Counts

16 → 209

Calls

Call 1

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

eval49.0ms (1.2%)

Memory: 35.4MiB live, 81.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 7 517 to 747 computations (90.1% saved)

prune40.0ms (1%)

Memory

-28.8MiB live, 16.3MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	251	1	252
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	252	5	257

Accuracy

100.0%

Counts

257 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.3%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) 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))
✓	37.2%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
▶	64.3%	#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))

Compiler

Compiled 55 to 41 computations (25.5% saved)

simplify0.0ms (0%)

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

series3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

4 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

simplify129.0ms (3.2%)

Memory

17.8MiB live, 62.2MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	84
1	136	84
2	420	84
3	1171	84
4	2783	84
5	4461	84
6	5271	84
7	6094	84
8	7150	84
0	8144	73

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 15

Calls

Call 1

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

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

rewrite303.0ms (7.5%)

Memory

-15.6MiB live, 325.1MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
0	9	17
1	57	17
2	406	17
3	5603	17
0	8119	17

Stop Event

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

Counts

4 → 85

Calls

Call 1

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

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

eval12.0ms (0.3%)

Memory: -11.6MiB live, 33.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 857 to 336 computations (88.2% saved)

prune3.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	90	6	96

Accuracy

100.0%

Counts

96 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.3%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) 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))
✓	37.2%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	64.3%	#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
▶	25.5%	#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))

Compiler

Compiled 72 to 51 computations (29.2% saved)

simplify0.0ms (0%)

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

series3.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

5 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

simplify123.0ms (3%)

Memory

19.7MiB live, 163.1MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	84
1	136	84
2	420	84
3	1167	84
4	2777	84
5	4423	84
6	5224	84
7	6045	84
8	7097	84
0	8108	73

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 15

Calls

Call 1

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

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

rewrite306.0ms (7.6%)

Memory

-50.5MiB live, 350.5MiB allocated; 109ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
0	11	31
1	59	31
2	407	31
3	5606	31
0	8123	28

Stop Event

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

Counts

5 → 8

Calls

Call 1

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

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

eval2.0ms (0%)

Memory: 6.8MiB live, 6.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 228 to 36 computations (84.2% saved)

prune4.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	14	6	20

Accuracy

100.0%

Counts

20 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.3%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) 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))
✓	37.2%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	64.3%	#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
✓	25.5%	#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))

Compiler

Compiled 157 to 84 computations (46.5% saved)

regimes49.0ms (1.2%)

Memory

-6.1MiB live, 38.5MiB allocated; 8ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Outputs
(fma.f64 y x (-.f64 y x))

Calls

3 calls:

42.0ms	x
3.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms	y

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)

regimes29.0ms (0.7%)

Memory

-24.2MiB live, 27.4MiB allocated; 25ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.1%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
99.0%	3	`x`
99.1%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

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
72.0%	4	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
88.8%	3	`x`
89.6%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
89.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes19.0ms (0.5%)

Memory

-27.5MiB live, 20.9MiB allocated; 6ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
50.9%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
40.5%	2	`x`
59.3%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
37.2%	1	`x`
37.2%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
37.2%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch61.0ms (1.5%)

Memory

-7.1MiB live, 83.0MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.414672841716637e-7	26.42340975476753
45.0ms	-5.5052149157195064e+35	-2.0718616117717326e+34

Samples

11.0ms

256×

valid

Compiler

Compiled 346 to 283 computations (18.2% saved)

Precisions

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

ival-mult: 2.0ms (39.4% of total)

ival-sub: 1.0ms (19.7% of total)

ival-add: 1.0ms (19.7% 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)

bsearch31.0ms (0.8%)

Memory

5.7MiB live, 54.4MiB allocated; 23ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.00117822668121e-41	1.8531149790910184e-39
10.0ms	-1.1948599800653054e-35	-3.5892618809878147e-40

Samples

10.0ms

240×

valid

Compiler

Compiled 385 to 296 computations (23.1% saved)

Precisions

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

ival-mult: 2.0ms (43.2% of total)

ival-sub: 1.0ms (21.6% of total)

ival-add: 1.0ms (21.6% 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)

bsearch2.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.00117822668121e-41	1.8531149790910184e-39
1.0ms	-1.1948599800653054e-35	-3.5892618809878147e-40

Compiler

Compiled 340 to 266 computations (21.8% saved)

bsearch15.0ms (0.4%)

Memory

-12.5MiB live, 33.8MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.414672841716637e-7	26.42340975476753
11.0ms	-8.68820249603301e-6	-1.3350452380262862e-13

Samples

6.0ms

144×

valid

Compiler

Compiled 496 to 371 computations (25.2% saved)

Precisions

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

ival-sub: 1.0ms (35.7% of total)

ival-add: 1.0ms (35.7% of total)

ival-mult: 1.0ms (35.7% 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)

simplify26.0ms (0.6%)

Memory

6.3MiB live, 49.8MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	147
1	72	147
2	93	147
3	120	147
4	195	147
5	367	147
6	517	147
7	593	147
8	640	147
9	641	147

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 y #s(literal -21000000000000001739383612245016576 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (+ ( y x) (- y x)) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -8680150524435699/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) (if (<=.f64 y #s(literal 1225996432692711/766247770432944429179173513575154591809369561091801088 binary64)) #s(approx (- (* (+ x 1) y) x) (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(approx (+ ( y x) (- y x)) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -8680150524435699/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) (if (<=.f64 y #s(literal 1225996432692711/766247770432944429179173513575154591809369561091801088 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -2508757194024499/295147905179352825856 binary64)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Outputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 y #s(literal -21000000000000001739383612245016576 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (+ ( y x) (- y x)) (fma.f64 x y y))))
(if (or (<=.f64 y #s(literal -21000000000000001739383612245016576 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))
(if (<=.f64 y #s(literal -8680150524435699/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) (if (<=.f64 y #s(literal 1225996432692711/766247770432944429179173513575154591809369561091801088 binary64)) #s(approx (- (* (+ x 1) y) x) (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(approx (+ ( y x) (- y x)) (fma.f64 x y y))))
(if (or (<=.f64 y #s(literal -8680150524435699/748288838313422294120286634350736906063837462003712 binary64)) (not (<=.f64 y #s(literal 1225996432692711/766247770432944429179173513575154591809369561091801088 binary64)))) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) #s(approx (+ (* y x) (- y x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -8680150524435699/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) (if (<=.f64 y #s(literal 1225996432692711/766247770432944429179173513575154591809369561091801088 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y))))
(if (or (<=.f64 y #s(literal -8680150524435699/748288838313422294120286634350736906063837462003712 binary64)) (not (<=.f64 y #s(literal 1225996432692711/766247770432944429179173513575154591809369561091801088 binary64)))) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) #s(approx (+ (* y x) (- y x)) (neg.f64 x)))
(if (<=.f64 y #s(literal -2508757194024499/295147905179352825856 binary64)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))))
(if (or (<=.f64 y #s(literal -2508757194024499/295147905179352825856 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (.f64 x y))) #s(approx (+ ( y x) (- y x)) (neg.f64 x)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) (neg.f64 x))

derivations697.0ms (17.3%)

Memory

5.4MiB live, 579.4MiB allocated; 111ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	86
1	147	86
2	470	86
3	1356	86
4	3121	86
5	5488	86
6	6746	86
0	8030	76
0	6	18
0	9	18
1	37	18
2	246	18
3	2969	18
0	10458	16
0	70	147
1	226	141
2	682	141
3	1780	141
4	3800	141
5	4982	141
6	5845	141
7	6662	141
8	7402	141
9	7745	141
0	8841	129
0	41	84
1	136	84
2	420	84
3	1171	84
4	2783	84
5	4461	84
6	5271	84
7	6094	84
8	7150	84
0	8144	73

Stop Event

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

Compiler

Compiled 147 to 43 computations (70.7% saved)

preprocess32.0ms (0.8%)

Memory: 25.5MiB live, 71.7MiB allocated; 2ms collecting garbage
Compiler: Compiled 308 to 98 computations (68.2% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	43	147
1	72	147
2	93	147
3	120	147
4	195	147
5	367	147
6	517	147
7	593	147
8	640	147
9	641	147

Iter	Nodes	Cost
0	43	147
1	72	147
2	93	147
3	120	147
4	195	147
5	367	147
6	517	147
7	593	147
8	640	147
9	641	147

start0.0ms (0%)

analyze0.0ms (0%)

sample866.0ms (21.4%)

explain104.0ms (2.6%)

preprocess86.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series4.0ms (0.1%)

simplify115.0ms (2.9%)

rewrite261.0ms (6.5%)

eval90.0ms (2.2%)

prune41.0ms (1%)

simplify0.0ms (0%)

series8.0ms (0.2%)

simplify150.0ms (3.7%)

rewrite364.0ms (9%)

eval49.0ms (1.2%)

prune40.0ms (1%)

simplify0.0ms (0%)

series3.0ms (0.1%)

simplify129.0ms (3.2%)

rewrite303.0ms (7.5%)

eval12.0ms (0.3%)

prune3.0ms (0.1%)

simplify0.0ms (0%)

series3.0ms (0.1%)

simplify123.0ms (3%)

rewrite306.0ms (7.6%)

eval2.0ms (0%)

prune4.0ms (0.1%)

regimes49.0ms (1.2%)

regimes29.0ms (0.7%)

regimes7.0ms (0.2%)

regimes2.0ms (0%)

regimes19.0ms (0.5%)

regimes3.0ms (0.1%)

bsearch61.0ms (1.5%)

bsearch31.0ms (0.8%)

bsearch2.0ms (0.1%)

bsearch15.0ms (0.4%)

simplify26.0ms (0.6%)

derivations697.0ms (17.3%)

preprocess32.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	43	147
1	72	147
2	93	147
3	120	147
4	195	147
5	367	147
6	517	147
7	593	147
8	640	147
9	641	147