Metrics for 2frac (problem 3.3.1)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

13.5MiB live, 13.5MiB 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
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (24.9%)

Memory

20.5MiB live, 1 152.4MiB allocated; 207ms collecting garbage

Samples

570.0ms	3 988×	1	valid
288.0ms	4 268×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 643.0ms

ival-div: 271.0ms (42.2% of total)

ival-sub: 140.0ms (21.8% of total)

adjust: 120.0ms (18.7% of total)

ival-add: 97.0ms (15.1% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain118.0ms (2.6%)

Memory

-26.7MiB live, 74.3MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
69	3	(1.9259910294084189e+161)	-	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`	cancellation	72	0

Confusion

	Predicted +	Predicted -
+	69	0
-	3	184

Precision

0.9583333333333334

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	69	0	0
-	3	0	184

Precision?

0.9583333333333334

Recall?

1.0

Freqs

test

number	freq
0	184
1	72

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms	262×	1	valid
12.0ms	250×	0	valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 10.0ms (40.3% of total)

adjust: 7.0ms (28.2% of total)

ival-add: 4.0ms (16.1% of total)

ival-sub: 3.0ms (12.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess12.0ms (0.3%)

Memory

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

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	13	21
2	16	21
0	6	9
0	10	9
1	13	9
0	13	9

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.3%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 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 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	10	22
1	13	22
0	13	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize53.0ms (1.2%)

Memory

-26.4MiB live, 19.2MiB allocated; 5ms collecting garbage

Localize:

Found 4 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 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy	15.819568534562052	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Samples

41.0ms	131×	1	valid
6.0ms	125×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 32.0ms (80.8% of total)

adjust: 3.0ms (7.6% of total)

ival-add: 2.0ms (5.1% of total)

ival-sub: 2.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Counts

4 → 24

Calls

Call 1

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

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

Calls

3 calls:

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

simplify115.0ms (2.5%)

Memory

20.8MiB live, 64.7MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	229
1	144	206
2	349	198
3	978	196
4	3081	194
0	8373	190

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

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

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

rewrite155.0ms (3.4%)

Memory

0.2MiB live, 137.2MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
0	10	20
1	52	20
2	395	20
3	5871	20
0	8674	18

Stop Event

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

Counts

4 → 349

Calls

Call 1

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

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

eval58.0ms (1.3%)

Memory: -10.6MiB live, 91.1MiB allocated; 16ms collecting garbage
Compiler: Compiled 7 012 to 1 014 computations (85.5% saved)

prune10.0ms (0.2%)

Memory

28.8MiB live, 28.8MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	356	10	366
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	357	10	367

Accuracy

100.0%

Counts

367 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.0%	(/.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) x)
▶	76.0%	(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
▶	52.1%	(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
▶	48.6%	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
	48.7%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	76.0%	(.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
	53.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
	51.9%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)))
	43.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
▶	50.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))

Compiler

Compiled 294 to 188 computations (36.1% saved)

simplify155.0ms (3.4%)

Memory

-26.8MiB live, 176.7MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	2	(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff	3	(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	3	(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 x x x)
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
cost-diff	4	(-.f64 x (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
cost-diff	1	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
cost-diff	4	(-.f64 x (+.f64 x #s(literal 1 binary64)))
cost-diff	5	(.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	166
0	42	182
1	72	146
2	197	125
3	629	120
4	2593	120
0	8827	120

Stop Event

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

Calls

Call 1

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

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

localize88.0ms (2%)

Memory

-16.8MiB live, 122.5MiB allocated; 10ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0	(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy	15.173051831512113	(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	15.819568534562052	(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
accuracy	0.0	(fma.f64 x x x)
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.2916608346069184	(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x x))
accuracy	31.2538597282758	(-.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	15.819568534562052	(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
accuracy	33.22806251768325	#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	31.937445415989266	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
accuracy	0.0546875	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
accuracy	0.38677574410814464	(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
accuracy	5.1558188066797745	(.f64 (/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
accuracy	31.2538597282758	(-.f64 x (+.f64 x #s(literal 1 binary64)))

Samples

50.0ms	133×	1	valid
18.0ms	123×	0	valid

Compiler

Compiled 165 to 23 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

adjust: 14.0ms (28.2% of total)

ival-div: 13.0ms (26.2% of total)

ival-mult: 9.0ms (18.1% of total)

ival-sub: 8.0ms (16.1% of total)

ival-add: 5.0ms (10.1% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

17 → 47

Calls

Call 1

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

Outputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
(* -1 x)
(* x (- (pow x 2) 1))
(/ 1 x)
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (* (pow x 2) (+ 1 (pow x 2)))) x)
(/ (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
x
(* x (+ 1 x))
(- x 1)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(/ -1 (pow x 3))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 3)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 3))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 3))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* x (- (/ 1 x) 1))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 3)))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- (/ 1 x) 1)))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

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

1.0ms

inf

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

simplify132.0ms (2.9%)

Memory

30.4MiB live, 128.4MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	447
1	280	419
2	909	400
3	4280	398
0	8393	390

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 46

Calls

Call 1

Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
(* -1 x)
(* x (- (pow x 2) 1))
(/ 1 x)
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (* (pow x 2) (+ 1 (pow x 2)))) x)
(/ (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
x
(* x (+ 1 x))
(- x 1)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(/ -1 (pow x 3))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 3)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 3))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 3))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* x (- (/ 1 x) 1))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 3)))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- (/ 1 x) 1)))

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

rewrite187.0ms (4.1%)

Memory

-35.5MiB live, 197.3MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	132
0	42	126
1	187	106
2	1642	106
0	8509	104

Stop Event

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

Counts

17 → 502

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.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) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 (-.f64 x #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))))
(.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) x)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) (neg.f64 (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 x (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))))
(/.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) x)
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) x)
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 x (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 x (.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))))
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(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (.f64 (neg.f64 x) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (.f64 x (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
(expm1.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (exp.f64 (neg.f64 (log1p.f64 x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
(expm1.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (-.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (exp.f64 (neg.f64 (log1p.f64 x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))

eval71.0ms (1.6%)

Memory: 28.4MiB live, 168.8MiB allocated; 20ms collecting garbage
Compiler: Compiled 13 680 to 1 857 computations (86.4% saved)

prune19.0ms (0.4%)

Memory

17.9MiB live, 59.7MiB allocated; 11ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	571	5	576
Fresh	3	2	5
Picked	4	1	5
Done	0	0	0
Total	578	8	586

Accuracy

100.0%

Counts

586 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.3%	(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))
▶	99.5%	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
▶	48.7%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	91.9%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 x #s(literal 1 binary64)))
▶	91.3%	(.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
	99.5%	(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
▶	53.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	50.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))

Compiler

Compiled 195 to 133 computations (31.8% saved)

simplify283.0ms (6.3%)

Memory

8.9MiB live, 185.9MiB allocated; 181ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- x (+ x 1)) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
cost-diff	1	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
cost-diff	5	(.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	2	(*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	3	(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 x x x)
cost-diff	0	#s(approx (- x (+ x 1)) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	158
0	40	152
1	73	132
2	194	126
3	592	124
4	2227	123
5	4792	123
0	8174	123

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (2.7%)

Memory

-23.9MiB live, 175.2MiB allocated; 46ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (- x (+ x 1)) #s(literal -1 binary64))
accuracy	0.0546875	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
accuracy	0.38677574410814464	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
accuracy	5.1558188066797745	(.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	0.0546875	(*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))
accuracy	5.5552127529871544	(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.16015625	(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy	30.000557384163212	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	15.819568534562052	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy	32.647927808195384	#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 x x x)
accuracy	0.0	#s(approx (- x (+ x 1)) #s(literal -1 binary64))
accuracy	0.2916608346069184	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))

Samples

86.0ms	133×	1	valid
20.0ms	123×	0	valid

Compiler

Compiled 149 to 23 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

adjust: 44.0ms (49.7% of total)

ival-div: 15.0ms (16.9% of total)

ival-mult: 15.0ms (16.9% of total)

ival-sub: 7.0ms (7.9% of total)

ival-add: 5.0ms (5.6% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

16 → 47

Calls

Call 1

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

Outputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
x
(* x (+ 1 x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ -1 (pow x 2))
(* x (+ 1 (* -1 (pow x 2))))
(- x 1)
(* -1 x)
(* x (- (pow x 2) 1))
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (* (pow x 2) (+ 1 (pow x 2)))) x)
(/ (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))) x)
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* x (- 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(/ -1 (pow x 3))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 3)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 3))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 3)))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify149.0ms (3.3%)

Memory

16.8MiB live, 153.5MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	464
1	289	434
2	931	415
3	4728	413
0	8423	405

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 46

Calls

Call 1

Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
x
(* x (+ 1 x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ -1 (pow x 2))
(* x (+ 1 (* -1 (pow x 2))))
(- x 1)
(* -1 x)
(* x (- (pow x 2) 1))
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (* (pow x 2) (+ 1 (pow x 2)))) x)
(/ (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))) x)
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* x (- 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(/ -1 (pow x 3))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 3)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 3))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 3)))

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

rewrite187.0ms (4.1%)

Memory

-1.0MiB live, 231.8MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	40	128
1	167	109
2	1336	107
0	8381	105

Stop Event

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

Counts

16 → 517

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))) (-.f64 (*.f64 x x) x))
(.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x x)))))
(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) x)
(/.f64 (neg.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x x)))
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
(neg.f64 (/.f64 (neg.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64))) (fma.f64 x x x)))
(neg.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x x))))
#s(approx (- x (+ x 1)) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
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eval147.0ms (3.3%)

Memory: 14.7MiB live, 115.0MiB allocated; 89ms collecting garbage
Compiler: Compiled 15 386 to 1 755 computations (88.6% saved)

prune16.0ms (0.3%)

Memory

-14.1MiB live, 32.7MiB allocated; 9ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	606	4	610
Fresh	2	0	2
Picked	0	5	5
Done	0	1	1
Total	608	10	618

Accuracy

100.0%

Counts

618 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.3%	(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))
✓	99.5%	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
▶	52.7%	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓	48.7%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
▶	91.9%	(*.f64 (/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 x #s(literal 1 binary64)))
▶	99.5%	(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) x))
✓	91.3%	(.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
✓	53.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	50.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
▶	53.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))

Compiler

Compiled 147 to 100 computations (32% saved)

simplify146.0ms (3.2%)

Memory

10.4MiB live, 99.3MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x x) x) (*.f64 x x))
cost-diff	0	#s(approx (- x (+ x 1)) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
cost-diff	0	#s(approx (- x (+ x 1)) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	1	(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) x)
cost-diff	5	(*.f64 (/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	3	(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	3	(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) x))
cost-diff	0	(pow.f64 x #s(literal -2 binary64))
cost-diff	0	(neg.f64 (pow.f64 x #s(literal -2 binary64)))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	174
0	38	174
1	64	138
2	131	138
3	322	128
4	793	124
5	2619	124
6	7479	124
0	9481	120

Stop Event

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

Calls

Call 1

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

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

localize102.0ms (2.3%)

Memory

0.4MiB live, 99.6MiB allocated; 13ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (- x (+ x 1)) #s(literal -1 binary64))
accuracy	0.2916608346069184	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
accuracy	29.27470356753835	#s(approx (+ (* x x) x) (*.f64 x x))
accuracy	0.0	#s(approx (- x (+ x 1)) #s(literal -1 binary64))
accuracy	0.0625	(/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) x)
accuracy	0.2955670846069184	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	5.1558188066797745	(*.f64 (/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 x #s(literal 1 binary64)))
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0	#s(approx (- x (+ x 1)) #s(literal -1 binary64))
accuracy	0.13900375976844204	(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) x))
accuracy	15.173051831512113	(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.0	(pow.f64 x #s(literal -2 binary64))
accuracy	0.0	(neg.f64 (pow.f64 x #s(literal -2 binary64)))
accuracy	30.000557384163212	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))

Samples

67.0ms	133×	1	valid
19.0ms	123×	0	valid

Compiler

Compiled 152 to 24 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-pow: 18.0ms (26.6% of total)

adjust: 17.0ms (25.1% of total)

ival-div: 16.0ms (23.6% of total)

ival-add: 6.0ms (8.9% of total)

ival-mult: 6.0ms (8.9% of total)

ival-sub: 4.0ms (5.9% of total)

ival-neg: 1.0ms (1.5% 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

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

Counts

14 → 47

Calls

Call 1

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

Outputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ 1 (pow x 2))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
-1
(- x 1)
(- (pow x 2) 1)
(/ 1 x)
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (* (pow x 2) (+ 1 (pow x 2)))) x)
(/ (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))) x)
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
x
(* x (+ 1 x))
(pow x 2)
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* x (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ -1 (pow x 3))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 3)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 3))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 3)))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify142.0ms (3.2%)

Memory

-6.7MiB live, 134.0MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	502
1	266	471
2	883	445
3	4590	443
0	8303	432

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 46

Calls

Call 1

Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ 1 (pow x 2))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
-1
(- x 1)
(- (pow x 2) 1)
(/ 1 x)
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (* (pow x 2) (+ 1 (pow x 2)))) x)
(/ (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))) x)
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
x
(* x (+ 1 x))
(pow x 2)
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* x (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ -1 (pow x 3))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 3)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 3))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 3)))

Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (pow x 2)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (* (pow x 2) (+ 1 (pow x 2)))) x)
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2)))))) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) x)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
x
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x))
(/ (- 1 (/ 1 x)) x)
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* x (- 1 (/ 1 x)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x)
(/ -1 (pow x 3))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 3)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 3))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)) x) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 x #s(literal 5 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x)) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x) (neg.f64 x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (- (/ 1 x) 1)))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))) (pow x 3)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 1 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 6))))) (pow x 3)))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (pow.f64 x #s(literal 3 binary64)))

rewrite180.0ms (4%)

Memory

-5.6MiB live, 219.7MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	134
0	38	134
1	154	108
2	1204	108
0	8200	105

Stop Event

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

Counts

14 → 477

Calls

Call 1

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

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

eval60.0ms (1.3%)

Memory: 43.4MiB live, 134.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 15 686 to 1 745 computations (88.9% saved)

prune52.0ms (1.2%)

Memory

-31.6MiB live, 33.4MiB allocated; 17ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	545	0	545
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	545	10	555

Accuracy

100.0%

Counts

555 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.3%	(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))
✓	99.5%	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
✓	52.7%	(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓	48.7%	(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	91.9%	(*.f64 (/.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 x #s(literal 1 binary64)))
✓	99.5%	(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) x))
✓	91.3%	(.f64 (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
✓	53.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓	50.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
✓	53.1%	#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))

Compiler

Compiled 435 to 171 computations (60.7% saved)

regimes11.0ms (0.2%)

Memory

9.9MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
99.5%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.4%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
98.4%	3	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

-41.2MiB live, 5.6MiB allocated; 2ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

2 calls:

3.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
98.4%	3	`x`
98.4%	3	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

Memory

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

Accuracy

Total -1.1b remaining (-3.5%)

Threshold costs -1.1b (-3.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
50.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))`
50.1%	1	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1512097840594073900.0
0.0ms	-68192615.00293462	-0.1538156369464042

Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1512097840594073900.0
0.0ms	-68192615.00293462	-0.1538156369464042

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify22.0ms (0.5%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	157
1	52	151
2	84	148
3	124	145
4	168	145
5	232	145
6	411	145
7	731	145
8	1067	145
9	1075	145
10	1080	145
11	1087	145
12	1087	145

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -50000000 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -50000000 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))

Outputs
(/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -50000000 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -50000000 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -50000000 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -50000000 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) (/.f64 #s(approx (- x (+ x 1)) #s(literal -1 binary64)) #s(approx (+ (* x x) x) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))

derivations494.0ms (10.9%)

Memory

-20.3MiB live, 255.6MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	464
1	289	434
2	931	415
3	4728	413
0	8423	405
0	53	229
1	144	206
2	349	198
3	978	196
4	3081	194
0	8373	190
0	100	447
1	280	419
2	909	400
3	4280	398
0	8393	390
0	6	20
0	10	20
1	52	20
2	395	20
3	5871	20
0	8674	18

Stop Event

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

Compiler

Compiled 157 to 35 computations (77.7% saved)

preprocess69.0ms (1.5%)

Memory: 35.5MiB live, 84.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 346 to 94 computations (72.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.1s (24.9%)

explain118.0ms (2.6%)

preprocess12.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize53.0ms (1.2%)

series2.0ms (0%)

simplify115.0ms (2.5%)

rewrite155.0ms (3.4%)

eval58.0ms (1.3%)

prune10.0ms (0.2%)

simplify155.0ms (3.4%)

localize88.0ms (2%)

series6.0ms (0.1%)

simplify132.0ms (2.9%)

rewrite187.0ms (4.1%)

eval71.0ms (1.6%)

prune19.0ms (0.4%)

simplify283.0ms (6.3%)

localize124.0ms (2.7%)

series4.0ms (0.1%)

simplify149.0ms (3.3%)

rewrite187.0ms (4.1%)

eval147.0ms (3.3%)

prune16.0ms (0.3%)

simplify146.0ms (3.2%)

localize102.0ms (2.3%)

series3.0ms (0.1%)

simplify142.0ms (3.2%)

rewrite180.0ms (4%)

eval60.0ms (1.3%)

prune52.0ms (1.2%)

regimes11.0ms (0.2%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify22.0ms (0.5%)

derivations494.0ms (10.9%)

preprocess69.0ms (1.5%)

end0.0ms (0%)

Profiling