Metrics for Asymptote C

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

3.5MiB live, 3.5MiB 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
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	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 15 to 9 computations (40% saved)

sample1.2s (23%)

Memory

-2.3MiB live, 1 280.2MiB allocated; 258ms collecting garbage

Samples

358.0ms	1 632×	2	valid
342.0ms	2 404×	1	valid
221.0ms	4 220×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 719.0ms

ival-div: 251.0ms (34.9% of total)

adjust: 219.0ms (30.5% of total)

ival-sub: 132.0ms (18.4% of total)

ival-add: 103.0ms (14.3% of total)

ival-true: 6.0ms (0.8% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain126.0ms (2.3%)

Memory

20.0MiB live, 168.9MiB allocated; 5ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
132	1	(603.8291109743253)	-	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`
0	0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
0	0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(/.f64 x (+.f64 x #s(literal 1 binary64)))`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`	cancellation	133	0

Confusion

	Predicted +	Predicted -
+	132	0
-	1	123

Precision

0.9924812030075187

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	0
-	1	0	123

Precision?

0.9924812030075187

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	248×	0	valid
22.0ms	164×	1	valid
19.0ms	100×	2	valid

Compiler

Compiled 83 to 25 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

adjust: 13.0ms (34.5% of total)

ival-div: 12.0ms (31.9% of total)

ival-sub: 8.0ms (21.3% of total)

ival-add: 4.0ms (10.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess13.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	17	35
2	24	35
3	33	31
4	35	31
5	41	31
6	47	31
7	51	31
8	57	31
9	67	31
10	70	31
0	7	13
0	12	13
1	18	13
2	21	13
3	23	13
0	23	13

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 13 to 7 computations (46.2% 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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify7.0ms (0.1%)

Memory

-40.2MiB live, 6.4MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
0	12	33
1	18	33
2	21	33
3	23	33
0	23	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize34.0ms (0.6%)

Memory

1.9MiB live, 48.7MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.015625	(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.015625	(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy	30.568665921608673	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Samples

11.0ms	50×	2	valid
10.0ms	82×	1	valid
6.0ms	124×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

adjust: 6.0ms (34% of total)

ival-div: 6.0ms (34% of total)

ival-sub: 4.0ms (22.7% of total)

ival-add: 2.0ms (11.3% 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

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Counts

4 → 29

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify129.0ms (2.4%)

Memory

16.9MiB live, 112.1MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	272
1	292	260
2	846	245
3	2840	237
4	7609	237
0	8187	230

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

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

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

rewrite218.0ms (4%)

Memory

13.7MiB live, 210.9MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	58	28
2	521	28
0	9033	28

Stop Event

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

Counts

4 → 656

Calls

Call 1

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

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

eval141.0ms (2.6%)

Memory: -8.6MiB live, 174.7MiB allocated; 24ms collecting garbage
Compiler: Compiled 24 814 to 2 258 computations (90.9% saved)

prune34.0ms (0.6%)

Memory

-5.6MiB live, 40.6MiB allocated; 3ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	795	9	804
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	795	10	805

Accuracy

100.0%

Counts

805 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
	54.1%	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
✓	52.2%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	49.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
	48.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
▶	52.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
	52.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x))
	52.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
▶	48.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
▶	48.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 399 to 229 computations (42.6% saved)

simplify187.0ms (3.5%)

Memory

7.9MiB live, 157.9MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x)
cost-diff	0	(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
cost-diff	0	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
cost-diff	0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
cost-diff	0	(+.f64 #s(literal 3 binary64) x)
cost-diff	0	(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
cost-diff	1	(neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
cost-diff	4	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
cost-diff	5	(*.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
cost-diff	6	(-.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	229
0	56	229
1	110	222
2	294	220
3	1004	212
4	3608	201
5	7769	201
0	8787	200

Stop Event

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

Calls

Call 1

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

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

localize150.0ms (2.8%)

Memory

-16.6MiB live, 173.9MiB allocated; 15ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
accuracy	0.05859375	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
accuracy	0.07421875	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x)
accuracy	30.140647789421017	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
accuracy	0.0	(fma.f64 x x #s(literal 1 binary64))
accuracy	0.0	(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy	32.84711007166167	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
accuracy	0.0	(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
accuracy	0.0	(+.f64 #s(literal 3 binary64) x)
accuracy	32.54213965234204	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
accuracy	32.92624695095924	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
accuracy	0.203125	(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
accuracy	13.283676901342467	(*.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
accuracy	13.36186788168385	(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
accuracy	30.515625000000004	(-.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))

Samples

50.0ms	50×	2	valid
40.0ms	82×	1	valid
34.0ms	124×	0	valid

Compiler

Compiled 213 to 34 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

adjust: 24.0ms (27.5% of total)

ival-div: 22.0ms (25.2% of total)

ival-mult: 14.0ms (16% of total)

ival-add: 13.0ms (14.9% of total)

ival-sub: 7.0ms (8% of total)

ival-pow: 5.0ms (5.7% of total)

ival-neg: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

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

Counts

17 → 65

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

((- (- x 1) (+ 1 x)) (* (neg (pow (+ (* x x) -1) -1)) (+ 1 x)) (+ (* (/ x (+ (* x x) -1)) (- (- x 1) (+ 1 x))) (* (neg (pow (+ (* x x) -1) -1)) (+ 1 x))) (neg (pow (+ (* x x) -1) -1)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (+ (* 3 x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- 1 (/ -3 x)) x)) x) (- -3 (/ (- 1 (/ -3 x)) x)) (/ (- 1 (/ -3 x)) x) (/ x (+ (* x x) -1)))

2.0ms

((- (- x 1) (+ 1 x)) (* (neg (pow (+ (* x x) -1) -1)) (+ 1 x)) (+ (* (/ x (+ (* x x) -1)) (- (- x 1) (+ 1 x))) (* (neg (pow (+ (* x x) -1) -1)) (+ 1 x))) (neg (pow (+ (* x x) -1) -1)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (+ (* 3 x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- 1 (/ -3 x)) x)) x) (- -3 (/ (- 1 (/ -3 x)) x)) (/ (- 1 (/ -3 x)) x) (/ x (+ (* x x) -1)))

2.0ms

-inf

((- (- x 1) (+ 1 x)) (* (neg (pow (+ (* x x) -1) -1)) (+ 1 x)) (+ (* (/ x (+ (* x x) -1)) (- (- x 1) (+ 1 x))) (* (neg (pow (+ (* x x) -1) -1)) (+ 1 x))) (neg (pow (+ (* x x) -1) -1)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (+ (* 3 x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- -3 (/ (- 1 (/ -3 x)) x)) x) (- -3 (/ (- 1 (/ -3 x)) x)) (/ (- 1 (/ -3 x)) x) (/ x (+ (* x x) -1)))

simplify216.0ms (4%)

Memory

-30.3MiB live, 182.3MiB allocated; 88ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	622
1	458	592
2	1564	562
3	6827	562
0	8298	545

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 64

Calls

Call 1

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

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

rewrite206.0ms (3.8%)

Memory

19.3MiB live, 206.3MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	192
0	56	192
1	271	177
2	2605	176
0	8246	176

Stop Event

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

Counts

17 → 456

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (-.f64 x #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (+.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (-.f64 x #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))))) (neg.f64 (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (neg.f64 (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.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 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (-.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (-.f64 x #s(literal 2 binary64)) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.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 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 x #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (+.f64 (-.f64 x #s(literal 2 binary64)) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (+.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (+.f64 x (+.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x x (.f64 (-.f64 x #s(literal 2 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x x (.f64 (-.f64 x #s(literal 2 binary64)) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 x x (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x))))))
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(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) (neg.f64 x)))
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(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -3 binary64) x) x) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -3 binary64) x) x))))) (/.f64 (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -3 binary64) x) x) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -3 binary64) x) x))))))
(-.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 x (/.f64 #s(literal -3 binary64) x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)) (.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 3 binary64)) (.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))) x))
(-.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -3 binary64) x) (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) x))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -3 binary64) x) x))
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 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 #s(literal 1 binary64) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 x (+.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 #s(literal -1 binary64)))) (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #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 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 x (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 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 x (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 x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (/.f64 x (+.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 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))

eval108.0ms (2%)

Memory: -13.9MiB live, 133.5MiB allocated; 14ms collecting garbage
Compiler: Compiled 18 315 to 1 917 computations (89.5% saved)

prune12.0ms (0.2%)

Memory

-10.5MiB live, 37.1MiB allocated; 1ms collecting garbage

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	510	4	514
Fresh	3	1	4
Picked	1	4	5
Done	0	1	1
Total	514	10	524

Accuracy

100.0%

Counts

524 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(/.f64 (-.f64 (.f64 (-.f64 (-.f64 x #s(literal 2 binary64)) x) x) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
✓	52.2%	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶	48.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))))
✓	49.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
▶	48.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
✓	52.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
▶	52.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x))
▶	52.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (- -3 (/ (- 1 (/ -3 x)) x)) #s(literal -3 binary64)) x))
✓	48.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
✓	48.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 328 to 194 computations (40.9% saved)

simplify124.0ms (2.3%)

Memory

37.3MiB live, 128.6MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	250
0	59	234
1	113	234
2	300	234
3	1200	214
4	4165	214
0	8229	210

Stop Event

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

Calls

Call 1

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

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

localize177.0ms (3.3%)

Memory

-26.3MiB live, 165.8MiB allocated; 11ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.07421875	(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	32.84711007166167	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 x x) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy	0.0703125	(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
accuracy	30.61555916526783	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x))
accuracy	0.05859375	(/.f64 #s(approx (- -3 (/ (- 1 (/ -3 x)) x)) #s(literal -3 binary64)) x)
accuracy	29.971012742737106	#s(approx (- -3 (/ (- 1 (/ -3 x)) x)) #s(literal -3 binary64))
accuracy	30.140647789421017	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (- -3 (/ (- 1 (/ -3 x)) x)) #s(literal -3 binary64)) x))
accuracy	0.0	(fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64))
accuracy	32.54213965234204	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
accuracy	32.89844311589623	#s(approx (+ 3 x) #s(literal 3 binary64))
accuracy	0.0	(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
accuracy	0.0859375	(-.f64 (.f64 (-.f64 (-.f64 x #s(literal 2 binary64)) x) x) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
accuracy	13.406992882339793	(/.f64 (-.f64 (.f64 (-.f64 (-.f64 x #s(literal 2 binary64)) x) x) (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	30.515625000000004	(-.f64 (-.f64 x #s(literal 2 binary64)) x)

Samples

94.0ms	65×	2	valid
33.0ms	67×	1	valid
26.0ms	124×	0	valid

Compiler

Compiled 206 to 38 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

adjust: 49.0ms (44.5% of total)

ival-add: 18.0ms (16.4% of total)

ival-div: 16.0ms (14.5% of total)

ival-mult: 14.0ms (12.7% of total)

ival-sub: 12.0ms (10.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series6.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

19 → 46

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

simplify274.0ms (5.1%)

Memory

21.8MiB live, 283.7MiB allocated; 108ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	331
1	283	308
2	970	289
3	4177	289
0	8197	276

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

Calls

Call 1

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

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

rewrite222.0ms (4.1%)

Memory

-1.0MiB live, 184.4MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	218
0	59	202
1	298	202
2	2616	202
0	8962	200

Stop Event

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

Counts

19 → 428

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (+.f64 x (+.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (-.f64 x #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 (-.f64 x #s(literal 2 binary64)) x) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (-.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 (-.f64 x #s(literal 2 binary64)) x) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 x #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (+.f64 (-.f64 x #s(literal 2 binary64)) x)))
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 x #s(literal 2 binary64)) x) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 x #s(literal 2 binary64)) x) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (-.f64 x #s(literal 2 binary64)) x)
(-.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (-.f64 x #s(literal 2 binary64)) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x)) x))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 x #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 x (+.f64 (-.f64 x #s(literal 2 binary64)) x) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x (+.f64 (-.f64 x #s(literal 2 binary64)) x) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (-.f64 x #s(literal 2 binary64)) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x))))) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 x #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (fma.f64 x (+.f64 (-.f64 x #s(literal 2 binary64)) x) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x (+.f64 (-.f64 x #s(literal 2 binary64)) x) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (-.f64 x #s(literal 2 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x)) x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 x #s(literal 2 binary64)) x)))
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(fma.f64 (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x) (*.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x))
(fma.f64 x (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) (.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 x #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x) (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(-.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x)) x))
(-.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (.f64 x x)))
(-.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x #s(literal 1 binary64)) (.f64 #s(literal 3 binary64) x))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x)))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x) (*.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x (.f64 (.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) x) x)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))) (pow.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))) (pow.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.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 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(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 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.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))))

eval56.0ms (1%)

Memory: -4.4MiB live, 85.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 17 673 to 1 678 computations (90.5% saved)

prune9.0ms (0.2%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	441	2	443
Fresh	0	0	0
Picked	2	3	5
Done	1	4	5
Total	444	9	453

Accuracy

100.0%

Counts

453 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.1%	(/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶	32.1%	(/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
✓	49.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
✓	48.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
✓	52.9%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
✓	52.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x))
✓	52.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (- -3 (/ (- 1 (/ -3 x)) x)) #s(literal -3 binary64)) x))
✓	48.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
✓	48.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 198 to 122 computations (38.4% saved)

simplify169.0ms (3.1%)

Memory

-12.9MiB live, 128.2MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	101
0	24	93
1	51	93
2	132	93
3	275	65
4	539	65
5	928	65
6	1588	65
7	2964	65
8	5688	65
9	7738	65
0	8252	65

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (1.2%)

Memory

21.0MiB live, 65.5MiB allocated; 6ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0	(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
accuracy	0.0	#s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy	13.406992882339793	(/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0	(*.f64 #s(literal -3 binary64) x)
accuracy	13.406992882339793	(/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	30.17618693565927	#s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x))

Samples

28.0ms	133×	0	valid
23.0ms	104×	1	valid
6.0ms	19×	2	valid

Compiler

Compiled 90 to 18 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-sub: 21.0ms (46.1% of total)

adjust: 8.0ms (17.6% of total)

ival-mult: 8.0ms (17.6% of total)

ival-add: 5.0ms (11% of total)

ival-div: 2.0ms (4.4% 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

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

Counts

7 → 17

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify239.0ms (4.4%)

Memory

-1.0MiB live, 144.2MiB allocated; 87ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	130
1	154	126
2	489	119
3	1536	119
4	4173	119
0	8069	112

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

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

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

rewrite231.0ms (4.3%)

Memory

-11.7MiB live, 170.6MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	91
0	24	83
1	125	83
2	992	83
0	9344	79

Stop Event

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

Counts

7 → 161

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(approx (- ( (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx (- ( (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x #s(literal 1 binary64)) (.f64 (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)) (.f64 (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(approx (- ( (- (- x 2) x) x) (* 1 (+ 1 x))) (.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(approx (- ( (- (- x 2) x) x) (* 1 (+ 1 x))) (.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (.f64 (/.f64 #s(approx (- ( (- (- x 2) x) x) (* 1 (+ 1 x))) (.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (.f64 (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 #s(approx (- ( (- (- x 2) x) x) (* 1 (+ 1 x))) (.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x))
(neg.f64 (neg.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (*.f64 #s(literal -3 binary64) x))))
(.f64 (.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -3 binary64) x)
(*.f64 x #s(literal -3 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) (.f64 (-.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 9 binary64) (.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))))
(/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -1 binary64)) (-.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 9 binary64) x) x (.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -1 binary64))) (-.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -1 binary64)) (neg.f64 (-.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x))))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) x))) (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x))
(+.f64 (/.f64 (.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 3 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 9 binary64) x) #s(literal 3 binary64))))) (/.f64 (.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 3 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))) (/.f64 (.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))))
(+.f64 (/.f64 (.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
(+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))

eval46.0ms (0.9%)

Memory: 12.1MiB live, 55.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 9 535 to 653 computations (93.2% saved)

prune9.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	266	2	268
Fresh	0	0	0
Picked	1	1	2
Done	1	6	7
Total	268	9	277

Accuracy

100.0%

Counts

277 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.1%	(/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
	79.1%	(/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
	31.2%	(/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
✓	49.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
✓	48.5%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(approx (+ 3 x) #s(literal 3 binary64)) x #s(literal 1 binary64)))
✓	52.2%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x))
✓	52.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (- -3 (/ (- 1 (/ -3 x)) x)) #s(literal -3 binary64)) x))
✓	48.7%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
✓	48.6%	#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Compiler

Compiled 607 to 225 computations (62.9% saved)

regimes40.0ms (0.7%)

Memory

-31.0MiB live, 30.3MiB allocated; 9ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))

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

Calls

2 calls:

35.0ms	x
4.0ms	(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))

Results

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

14 → 2

Calls

Call 1

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

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
99.8%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes3.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))

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

Calls

1 calls:

2.0ms

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

Results

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

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

9 → 2

Calls

Call 1

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

Outputs

#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
99.1%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes15.0ms (0.3%)

Memory

-38.4MiB live, 5.8MiB allocated; 4ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

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

Results

Accuracy	Segments	Branch
99.1%	2	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes4.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.2%	1	`x`
49.2%	1	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.7b remaining (-2.2%)

Threshold costs -0.7b (-2.2%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.6%	1	`x`
48.6%	1	`(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.933364910504224e-11	0.999997277510124

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.933364910504224e-11	0.999997277510124

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.740452392264615e-12

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.933364910504224e-11	0.999997277510124

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.933364910504224e-11	0.999997277510124

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify67.0ms (1.2%)

Memory

-2.6MiB live, 42.8MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	54	318
1	85	318
2	188	318
3	342	312
4	640	309
5	1270	306
6	2702	306
7	5388	306
8	7321	306

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)) (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64))) x)) (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (- (* (- (- x 2) x) x) (* 1 (+ 1 x))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

derivations762.0ms (14.1%)

Memory

-13.8MiB live, 521.8MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
0	12	28
1	58	28
2	521	28
0	9033	28
0	87	331
1	283	308
2	970	289
3	4177	289
0	8197	276
0	33	192
0	56	192
1	271	177
2	2605	176
0	8246	176
0	95	272
1	292	260
2	846	245
3	2840	237
4	7609	237
0	8187	230

Stop Event

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

Compiler

Compiled 324 to 55 computations (83% saved)

preprocess42.0ms (0.8%)

Memory: 11.8MiB live, 54.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 674 to 124 computations (81.6% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	9	35
1	17	35
2	24	35
3	33	31
4	35	31
5	41	31
6	47	31
7	51	31
8	57	31
9	67	31
10	70	31
0	7	13
0	12	13
1	18	13
2	21	13
3	23	13
0	23	13

Iter	Nodes	Cost
0	9	35
1	17	35
2	24	35
3	33	31
4	35	31
5	41	31
6	47	31
7	51	31
8	57	31
9	67	31
10	70	31
0	7	13
0	12	13
1	18	13
2	21	13
3	23	13
0	23	13

start0.0ms (0%)

analyze2.0ms (0%)

sample1.2s (23%)

explain126.0ms (2.3%)

preprocess13.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.1%)

localize34.0ms (0.6%)

series2.0ms (0%)

simplify129.0ms (2.4%)

rewrite218.0ms (4%)

eval141.0ms (2.6%)

prune34.0ms (0.6%)

simplify187.0ms (3.5%)

localize150.0ms (2.8%)

series7.0ms (0.1%)

simplify216.0ms (4%)

rewrite206.0ms (3.8%)

eval108.0ms (2%)

prune12.0ms (0.2%)

simplify124.0ms (2.3%)

localize177.0ms (3.3%)

series6.0ms (0.1%)

simplify274.0ms (5.1%)

rewrite222.0ms (4.1%)

eval56.0ms (1%)

prune9.0ms (0.2%)

simplify169.0ms (3.1%)

localize67.0ms (1.2%)

series2.0ms (0%)

simplify239.0ms (4.4%)

rewrite231.0ms (4.3%)

eval46.0ms (0.9%)

prune9.0ms (0.2%)

regimes40.0ms (0.7%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes15.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify67.0ms (1.2%)

derivations762.0ms (14.1%)

preprocess42.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	35
1	17	35
2	24	35
3	33	31
4	35	31
5	41	31
6	47	31
7	51	31
8	57	31
9	67	31
10	70	31
0	7	13
0	12	13
1	18	13
2	21	13
3	23	13
0	23	13