Metrics for Prelude:atanh from fay-base-0.20.0.1

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.1s (23.6%)

Memory

-109.0MiB live, 1 093.9MiB allocated; 1.3s collecting garbage

Samples

879.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-div: 149.0ms (54.5% of total)

ival-sub: 59.0ms (21.6% of total)

ival-add: 50.0ms (18.3% of total)

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

exact: 5.0ms (1.8% of total)

adjust: 3.0ms (1.1% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain53.0ms (1.1%)

Memory

26.4MiB live, 119.2MiB allocated; 9ms 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)) (-.f64 #s(literal 1 binary64) x))`
-	-	`(-.f64 #s(literal 1 binary64) 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 41 to 19 computations (53.7% saved)

Precisions

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

ival-div: 4.0ms (36.4% of total)

ival-sub: 3.0ms (27.3% of total)

ival-add: 3.0ms (27.3% 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)

preprocess17.0ms (0.4%)

Memory

-16.0MiB live, 38.7MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	17	19
2	32	17
3	42	17
4	45	17
5	48	17
6	54	17
7	60	17
8	60	17
0	5	7
0	8	7
1	14	7
2	15	7
0	15	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	14	15
2	15	15
0	15	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.4%)

Memory

-17.5MiB live, 29.1MiB allocated; 4ms collecting garbage

Localize:

Found 3 expressions of interest:

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

Samples

10.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-div: 2.0ms (42.9% of total)

ival-sub: 1.0ms (21.4% of total)

ival-add: 1.0ms (21.4% 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)

series1.0ms (0%)

Memory

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

Counts

3 → 16

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((/ (+ x 1) (- 1 x)) (+ x 1) (- 1 x))
0.0ms	x	@	-inf	((/ (+ x 1) (- 1 x)) (+ x 1) (- 1 x))
0.0ms	x	@	0	((/ (+ x 1) (- 1 x)) (+ x 1) (- 1 x))

simplify308.0ms (6.6%)

Memory

31.0MiB live, 259.4MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	105
1	134	100
2	410	96
3	1675	96
4	6852	96
0	8298	90

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

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

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

rewrite265.0ms (5.7%)

Memory

2.8MiB live, 163.6MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	39	13
2	252	13
3	2584	13
0	9165	13

Stop Event

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

Counts

3 → 816

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) 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 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (/.f64 x (-.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 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (.f64 (/.f64 x (-.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 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (/.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 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 x (/.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 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (.f64 x (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)) (.f64 x (fma.f64 x x #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 x x #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.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)))
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(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.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 #s(literal 1 binary64) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (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 (pow.f64 x #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (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 (pow.f64 x #s(literal 6 binary64)) (+.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 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 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 (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 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 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 #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)) (.f64 (-.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 #s(literal 1 binary64) (.f64 (-.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 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 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 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 x (fma.f64 x x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 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 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
(+.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval112.0ms (2.4%)

Memory: -33.1MiB live, 110.2MiB allocated; 20ms collecting garbage
Compiler: Compiled 14 324 to 1 532 computations (89.3% saved)

prune11.0ms (0.2%)

Memory

27.2MiB live, 27.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	587	6	593
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	587	7	594

Accuracy

100.0%

Counts

594 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
▶	99.8%	(/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
▶	51.7%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
▶	52.5%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
	49.5%	#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
▶	51.1%	#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
▶	47.9%	#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 153 to 111 computations (27.5% saved)

simplify162.0ms (3.4%)

Memory

-20.5MiB live, 26.4MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
cost-diff	0	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	114
0	30	114
1	47	114
2	76	114
3	171	114
4	437	114
5	815	114
6	1367	114
7	2723	114
8	4067	114
9	4874	114
10	5198	114
11	5735	114
12	6505	114
13	6953	114
14	6958	114
15	6966	114
16	6982	114
17	6982	114
0	6982	114

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (1.3%)

Memory

-4.8MiB live, 39.8MiB allocated; 5ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
accuracy	30.730947147438574	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
accuracy	30.203177922458437	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
accuracy	31.070719781021555	#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
accuracy	33.09279178390585	#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0	#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
accuracy	0.0078125	(/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
accuracy	0.09765625	(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)

Samples

25.0ms	255×	0	valid
0.0ms	1×	5	exit

Compiler

Compiled 87 to 17 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 5.0ms (32.5% of total)

ival-mult: 4.0ms (26% of total)

ival-div: 3.0ms (19.5% of total)

ival-sub: 2.0ms (13% 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)

series3.0ms (0.1%)

Memory

4.3MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

11 → 24

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (+ x 1) (- 1 x)) (+ x 1) (- 1 x) (* (- (/ 1 x) 1) x) (/ (+ x 1) (- 1 x)) (/ (+ x 1) (- 1 x)) (/ (+ x 1) (- 1 x)) (+ (* 2 x) 1) (/ (+ x 1) (- 1 x)) (+ (* (+ (* 2 x) 2) x) 1) (+ (* 2 x) 2))
1.0ms	x	@	inf	((/ (+ x 1) (- 1 x)) (+ x 1) (- 1 x) (* (- (/ 1 x) 1) x) (/ (+ x 1) (- 1 x)) (/ (+ x 1) (- 1 x)) (/ (+ x 1) (- 1 x)) (+ (* 2 x) 1) (/ (+ x 1) (- 1 x)) (+ (* (+ (* 2 x) 2) x) 1) (+ (* 2 x) 2))
1.0ms	x	@	0	((/ (+ x 1) (- 1 x)) (+ x 1) (- 1 x) (* (- (/ 1 x) 1) x) (/ (+ x 1) (- 1 x)) (/ (+ x 1) (- 1 x)) (/ (+ x 1) (- 1 x)) (+ (* 2 x) 1) (/ (+ x 1) (- 1 x)) (+ (* (+ (* 2 x) 2) x) 1) (+ (* 2 x) 2))

Time

Variable

Point

Expression

1.0ms

-inf

((/ (+ x 1) (- 1 x)) (+ x 1) (- 1 x) (* (- (/ 1 x) 1) x) (/ (+ x 1) (- 1 x)) (/ (+ x 1) (- 1 x)) (/ (+ x 1) (- 1 x)) (+ (* 2 x) 1) (/ (+ x 1) (- 1 x)) (+ (* (+ (* 2 x) 2) x) 1) (+ (* 2 x) 2))

1.0ms

inf

((/ (+ x 1) (- 1 x)) (+ x 1) (- 1 x) (* (- (/ 1 x) 1) x) (/ (+ x 1) (- 1 x)) (/ (+ x 1) (- 1 x)) (/ (+ x 1) (- 1 x)) (+ (* 2 x) 1) (/ (+ x 1) (- 1 x)) (+ (* (+ (* 2 x) 2) x) 1) (+ (* 2 x) 2))

1.0ms

((/ (+ x 1) (- 1 x)) (+ x 1) (- 1 x) (* (- (/ 1 x) 1) x) (/ (+ x 1) (- 1 x)) (/ (+ x 1) (- 1 x)) (/ (+ x 1) (- 1 x)) (+ (* 2 x) 1) (/ (+ x 1) (- 1 x)) (+ (* (+ (* 2 x) 2) x) 1) (+ (* 2 x) 2))

simplify223.0ms (4.8%)

Memory

37.4MiB live, 176.6MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	147
1	171	140
2	543	136
3	2415	136
0	8237	124

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

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

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

rewrite254.0ms (5.4%)

Memory

-26.6MiB live, 210.3MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	96
0	30	90
1	120	90
2	814	90
0	10158	87

Stop Event

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

Counts

11 → 1 410

Calls

Call 1

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

Outputs
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(/.f64 (/.f64 (fma.f64 x #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
(/.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -2 binary64)) (pow.f64 (/.f64 x #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -1 binary64)) (/.f64 x #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))))
(/.f64 (+.f64 (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -3 binary64)) (pow.f64 (/.f64 x #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 x #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)) (.f64 (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -1 binary64)) (/.f64 x #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)) (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)) (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -2 binary64))) (/.f64 x (pow.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 x #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))) (neg.f64 (pow.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (.f64 (neg.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (neg.f64 x))) (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) (.f64 (neg.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) x)) (.f64 (neg.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) (neg.f64 x))) (.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) (neg.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))))
(/.f64 (fma.f64 #s(literal 1 binary64) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) (.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) x)) (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (.f64 (neg.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal -1 binary64))) (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) (.f64 (neg.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 1 binary64))) (.f64 (neg.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(/.f64 (fma.f64 x (neg.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -1 binary64))) (.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) (neg.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)) (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -2 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 x #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)) (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -2 binary64))) (/.f64 x (pow.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))))
(/.f64 (fma.f64 x #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (pow.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(fma.f64 (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -1/2 binary64)) (/.f64 x #s(approx (- 1 x) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(-.f64 (/.f64 (pow.f64 (/.f64 x #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))) (/.f64 (pow.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -2 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- 1 x) (.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))))
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(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(fma.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(fma.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(fma.f64 (fma.f64 x x x) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (.f64 x (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (.f64 x #s(literal 8 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 16 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (neg.f64 x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) x x) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) x (+.f64 x #s(literal 2 binary64)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 8 binary64)) #s(literal 2 binary64))
(fma.f64 x (.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64))
(fma.f64 x (.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) #s(literal 2 binary64))
(fma.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 x (-.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal -2 binary64) x (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 x (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64))
(fma.f64 x (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(fma.f64 x (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 x (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 2 binary64))
(fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 x #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
(-.f64 (-.f64 #s(literal 2 binary64) x) x)
(-.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) x))
(-.f64 (+.f64 #s(literal 2 binary64) x) (neg.f64 x))
(-.f64 (.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(+.f64 (/.f64 #s(literal 8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 x (+.f64 x #s(literal 2 binary64)))

eval292.0ms (6.2%)

Memory: 20.5MiB live, 217.1MiB allocated; 44ms collecting garbage
Compiler: Compiled 20 181 to 2 456 computations (87.8% saved)

prune18.0ms (0.4%)

Memory

5.8MiB live, 49.5MiB allocated; 5ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	886	3	889
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	886	10	896

Accuracy

100.0%

Counts

896 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	99.8%	(/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
▶	51.4%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
✓	51.7%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
▶	51.9%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)))
✓	52.5%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
▶	49.5%	#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
▶	52.5%	#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
✓	51.1%	#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
✓	47.9%	#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 120 to 87 computations (27.5% saved)

simplify81.0ms (1.7%)

Memory

-30.0MiB live, 24.4MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
cost-diff	0	(+.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
cost-diff	1	(+.f64 (+.f64 #s(literal 1 binary64) x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	96
0	28	96
1	43	96
2	68	96
3	131	96
4	274	96
5	399	96
6	545	96
7	830	96
8	1184	96
9	1527	96
10	1930	96
11	2231	96
12	2427	96
13	2645	96
14	3198	96
15	3415	96
16	3485	96
17	3487	96
0	3487	94

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
(+.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64))
x
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64))
x
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 4 binary64) x #s(literal 1 binary64)))
(fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) x #s(literal 1 binary64))
x
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))
x
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize42.0ms (0.9%)

Memory

30.2MiB live, 74.7MiB allocated; 5ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))
accuracy	0.0	(fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64))
accuracy	31.077883149434317	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64))
accuracy	30.79488313826027	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.0	(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
accuracy	32.31046338139271	#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
accuracy	0.0	(+.f64 #s(literal 1 binary64) x)
accuracy	0.0234375	(+.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy	30.399721647095454	#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))

Samples

32.0ms

256×

valid

Compiler

Compiled 77 to 19 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-add: 10.0ms (52.1% of total)

ival-div: 3.0ms (15.6% of total)

ival-mult: 3.0ms (15.6% of total)

ival-sub: 2.0ms (10.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

-39.9MiB live, 6.5MiB allocated; 6ms collecting garbage

Counts

11 → 27

Calls

Call 1

Inputs
(+.f64 (+.f64 #s(literal 1 binary64) x) x)
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
(+.f64 #s(literal 1 binary64) x)
#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64))

Outputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 1 x)
(/ -2 x)
(/ (- (* -1 x) 2) x)
(/ 2 x)
(+ 1 (* 4 x))
(+ 1 (* x (+ 2 (* 4 x))))
2
(+ 2 (* 4 x))
(* 2 x)
(* x (+ 2 (/ 1 x)))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (/ 1 x)))
(* 4 x)
(* x (+ 4 (/ 1 x)))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 2 (/ 1 x))))
(* (pow x 2) (+ 4 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 4 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

((+ (+ 1 x) x) (/ (+ x 1) (- 1 x)) (+ 1 x) (/ (+ x 1) (- 1 x)) (- -1 (/ 2 x)) (/ 2 x) (/ (+ x 1) (- 1 x)) (+ (* x 4) 1) (/ (+ x 1) (- 1 x)) (+ (* (+ (* x 4) 2) x) 1) (+ (* x 4) 2))

1.0ms

-inf

((+ (+ 1 x) x) (/ (+ x 1) (- 1 x)) (+ 1 x) (/ (+ x 1) (- 1 x)) (- -1 (/ 2 x)) (/ 2 x) (/ (+ x 1) (- 1 x)) (+ (* x 4) 1) (/ (+ x 1) (- 1 x)) (+ (* (+ (* x 4) 2) x) 1) (+ (* x 4) 2))

1.0ms

inf

((+ (+ 1 x) x) (/ (+ x 1) (- 1 x)) (+ 1 x) (/ (+ x 1) (- 1 x)) (- -1 (/ 2 x)) (/ 2 x) (/ (+ x 1) (- 1 x)) (+ (* x 4) 1) (/ (+ x 1) (- 1 x)) (+ (* (+ (* x 4) 2) x) 1) (+ (* x 4) 2))

simplify169.0ms (3.6%)

Memory

52.5MiB live, 233.8MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	160
1	196	153
2	600	149
3	2530	149
0	8269	133

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 1 x)
(/ -2 x)
(/ (- (* -1 x) 2) x)
(/ 2 x)
(+ 1 (* 4 x))
(+ 1 (* x (+ 2 (* 4 x))))
2
(+ 2 (* 4 x))
(* 2 x)
(* x (+ 2 (/ 1 x)))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (/ 1 x)))
(* 4 x)
(* x (+ 4 (/ 1 x)))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 2 (/ 1 x))))
(* (pow x 2) (+ 4 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 4 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1 x) 2) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ 1 (* 4 x))
(fma.f64 #s(literal 4 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 4 x))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 x))
(fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ 1 x)))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (/ 1 x)))
(fma.f64 #s(literal 4 binary64) x #s(literal 1 binary64))
(* 4 (pow x 2))
(.f64 (.f64 x x) #s(literal 4 binary64))
(* (pow x 2) (+ 4 (* 2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 4 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(* x (+ 4 (* 2 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))

rewrite212.0ms (4.5%)

Memory

-17.8MiB live, 220.0MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	84
0	28	84
1	130	84
2	1025	84
0	8271	82

Stop Event

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

Counts

11 → 278

Calls

Call 1

Inputs
(+.f64 (+.f64 #s(literal 1 binary64) x) x)
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
(+.f64 #s(literal 1 binary64) x)
#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64))

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 x #s(literal 1 binary64)) x)))) (+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 x x))) (.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 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 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 (+.f64 x #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))))
(fma.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 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (.f64 x x))) (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (+.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 x #s(literal 1 binary64)) x)))
(-.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))
(-.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x x)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(.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 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64)))) (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)) x))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x)))))
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64)))))) (.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64))))))) (-.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 8 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(literal -4 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (.f64 #s(literal 2 binary64) (.f64 #s(literal -4 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64))))) (-.f64 (.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64)))))) (.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) (.f64 (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64)))) (.f64 (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64)))) #s(literal 8 binary64))) (.f64 (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64)))) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 8 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (.f64 (neg.f64 x) #s(literal 8 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (.f64 (neg.f64 x) #s(literal 8 binary64)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64)))))
(neg.f64 (fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) x))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) x))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (.f64 (neg.f64 x) #s(literal 8 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (*.f64 (neg.f64 x) #s(literal 8 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (.f64 (neg.f64 x) #s(literal 8 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (*.f64 (neg.f64 x) #s(literal 8 binary64))))))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 8 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x #s(literal 8 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 16 binary64) (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 8 binary64))))))
(+.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 4 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) x))

eval134.0ms (2.9%)

Memory: 1.1MiB live, 117.5MiB allocated; 75ms collecting garbage
Compiler: Compiled 10 160 to 1 225 computations (87.9% saved)

prune14.0ms (0.3%)

Memory

-17.3MiB live, 27.3MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	296	1	297
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	296	11	307

Accuracy

100.0%

Counts

307 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	99.8%	(/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
✓	51.4%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
✓	51.7%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
✓	51.9%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)))
✓	52.5%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
✓	49.5%	#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓	52.5%	#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
▶	3.5%	#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))
✓	51.1%	#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
✓	47.9%	#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 137 to 99 computations (27.7% saved)

simplify5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 4 binary64) x)
cost-diff	0	#s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x))
cost-diff	0	#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
0	12	31
1	20	31
2	28	31
3	35	31
4	44	31
5	46	31
6	49	31
7	53	31
8	57	31
9	61	31
10	70	31
11	81	31
12	81	31
0	81	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))
#s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x

Outputs
#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))
#s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x

localize43.0ms (0.9%)

Memory

-9.8MiB live, 35.2MiB allocated; 5ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 4 binary64) x)
accuracy	30.79488313826027	#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))
accuracy	32.47977723912147	#s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x))

Samples

37.0ms

256×

valid

Compiler

Compiled 19 to 11 computations (42.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 24.0ms (77.3% of total)

ival-mult: 3.0ms (9.7% of total)

ival-div: 2.0ms (6.4% of total)

ival-sub: 1.0ms (3.2% 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)

series1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Counts

3 → 12

Calls

Call 1

Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))
#s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)

Outputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 1 (* 4 x))
(* 4 x)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* x (+ 4 (/ 1 x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (+ x 1) (- 1 x)) (+ (* x 4) 1) (* 4 x))
0.0ms	x	@	inf	((/ (+ x 1) (- 1 x)) (+ (* x 4) 1) (* 4 x))
0.0ms	x	@	0	((/ (+ x 1) (- 1 x)) (+ (* x 4) 1) (* 4 x))

simplify174.0ms (3.7%)

Memory

-6.6MiB live, 285.3MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	90
1	123	86
2	390	82
3	1493	82
4	6232	82
0	8261	74

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 1 (* 4 x))
(* 4 x)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(* x (+ 4 (/ 1 x)))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* 4 x))
(fma.f64 #s(literal 4 binary64) x #s(literal 1 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))
(* x (+ 4 (/ 1 x)))
(fma.f64 #s(literal 4 binary64) x #s(literal 1 binary64))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x) #s(literal 1 binary64))

rewrite233.0ms (5%)

Memory

33.3MiB live, 268.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
0	12	29
1	55	29
2	381	29
3	3732	29
0	8821	27

Stop Event

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

Counts

3 → 28

Calls

Call 1

Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))
#s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)

Outputs
#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))
#s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x))
(.f64 (sqrt.f64 (.f64 #s(literal 16 binary64) (neg.f64 x))) (sqrt.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -4 binary64) x))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) x))))
(.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) x)) (sqrt.f64 (*.f64 #s(literal -4 binary64) x)))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (neg.f64 x) #s(literal 16 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) x)) (sqrt.f64 (*.f64 #s(literal 4 binary64) x)))
(.f64 (sqrt.f64 (.f64 (*.f64 x x) #s(literal 4 binary64))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal 16 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 16 binary64) x)))
(*.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) x)
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (*.f64 x x) #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) x))
(*.f64 x (exp.f64 (log.f64 #s(literal 4 binary64))))
(*.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal -4 binary64) x) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 16 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(sqrt.f64 (.f64 #s(literal 16 binary64) (.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal -4 binary64) x)))
(fabs.f64 (*.f64 #s(literal -4 binary64) x))
(fabs.f64 (*.f64 #s(literal 4 binary64) x))
(exp.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 16 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) x)))
(+.f64 (cosh.f64 (log.f64 (.f64 #s(literal 4 binary64) x))) (sinh.f64 (log.f64 (.f64 #s(literal 4 binary64) x))))

eval5.0ms (0.1%)

Memory: -39.2MiB live, 7.6MiB allocated; 2ms collecting garbage
Compiler: Compiled 722 to 153 computations (78.8% saved)

prune5.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	10	10
Total	38	11	49

Accuracy

100.0%

Counts

49 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
✓	99.8%	(/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
✓	51.4%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
✓	51.7%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
✓	51.9%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)))
✓	52.5%	#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
✓	49.5%	#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
✓	52.5%	#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
✓	3.5%	#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))
✓	51.1%	#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
✓	47.9%	#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 274 to 140 computations (48.9% saved)

regimes7.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))

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

Calls

2 calls:

4.0ms	x
2.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.2%)

Memory

-43.4MiB live, 14.9MiB allocated; 9ms collecting garbage

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))

Outputs

#s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))

#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.2%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`
99.2%	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes17.0ms (0.4%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))

Outputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64)))

Calls

1 calls:

17.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

4.1MiB live, 4.0MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 x #s(literal 4 binary64) #s(literal 1 binary64)))

Outputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))
#s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(approx (+ (* x 4) 1) (*.f64 #s(literal 4 binary64) x)))

Outputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64))

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
97.5%	3	`x`
97.5%	2	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB 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) (- 1 x)) #s(literal -1 binary64))

Outputs
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
47.9%	1	`x`
47.9%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.995371034581135	0.9999972894988376

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.995371034581135	0.9999972894988376

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.995371034581135	0.9999972894988376

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.995371034581135	0.9999972894988376

Compiler

Compiled 10 to 9 computations (10% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.995371034581135	0.9999972894988376

Compiler

Compiled 10 to 9 computations (10% saved)

simplify12.0ms (0.3%)

Memory

-21.8MiB live, 25.1MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	179
1	41	179
2	51	179
3	56	179
4	57	179

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64)) #s(approx (/ (+ x 1) (- 1 x)) #s(literal 1 binary64)))
#s(approx (/ (+ x 1) (- 1 x)) #s(literal -1 binary64))

derivations522.0ms (11.1%)

Memory

12.0MiB live, 470.5MiB allocated; 88ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	105
1	134	100
2	410	96
3	1675	96
4	6852	96
0	8298	90
0	20	96
0	30	90
1	120	90
2	814	90
0	10158	87

Stop Event

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

Compiler

Compiled 179 to 31 computations (82.7% saved)

preprocess80.0ms (1.7%)

Memory: 11.5MiB live, 154.6MiB allocated; 28ms collecting garbage
Compiler: Compiled 372 to 72 computations (80.6% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	7	19
1	17	19
2	32	17
3	42	17
4	45	17
5	48	17
6	54	17
7	60	17
8	60	17
0	5	7
0	8	7
1	14	7
2	15	7
0	15	7

Iter	Nodes	Cost
0	11	31
0	12	31
1	20	31
2	28	31
3	35	31
4	44	31
5	46	31
6	49	31
7	53	31
8	57	31
9	61	31
10	70	31
11	81	31
12	81	31
0	81	29

Iter	Nodes	Cost
0	7	19
1	17	19
2	32	17
3	42	17
4	45	17
5	48	17
6	54	17
7	60	17
8	60	17
0	5	7
0	8	7
1	14	7
2	15	7
0	15	7

Iter	Nodes	Cost
0	11	31
0	12	31
1	20	31
2	28	31
3	35	31
4	44	31
5	46	31
6	49	31
7	53	31
8	57	31
9	61	31
10	70	31
11	81	31
12	81	31
0	81	29

start0.0ms (0%)

analyze1.0ms (0%)

sample1.1s (23.6%)

explain53.0ms (1.1%)

preprocess17.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.4%)

series1.0ms (0%)

simplify308.0ms (6.6%)

rewrite265.0ms (5.7%)

eval112.0ms (2.4%)

prune11.0ms (0.2%)

simplify162.0ms (3.4%)

localize61.0ms (1.3%)

series3.0ms (0.1%)

simplify223.0ms (4.8%)

rewrite254.0ms (5.4%)

eval292.0ms (6.2%)

prune18.0ms (0.4%)

simplify81.0ms (1.7%)

localize42.0ms (0.9%)

series7.0ms (0.1%)

simplify169.0ms (3.6%)

rewrite212.0ms (4.5%)

eval134.0ms (2.9%)

prune14.0ms (0.3%)

simplify5.0ms (0.1%)

localize43.0ms (0.9%)

series1.0ms (0%)

simplify174.0ms (3.7%)

rewrite233.0ms (5%)

eval5.0ms (0.1%)

prune5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.2%)

regimes17.0ms (0.4%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.3%)

derivations522.0ms (11.1%)

preprocess80.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	19
1	17	19
2	32	17
3	42	17
4	45	17
5	48	17
6	54	17
7	60	17
8	60	17
0	5	7
0	8	7
1	14	7
2	15	7
0	15	7

Iter	Nodes	Cost
0	11	31
0	12	31
1	20	31
2	28	31
3	35	31
4	44	31
5	46	31
6	49	31
7	53	31
8	57	31
9	61	31
10	70	31
11	81	31
12	81	31
0	81	29