Metrics for x / (x^2 + 1)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

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
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample609.0ms (10.7%)

Memory

46.1MiB live, 618.2MiB allocated

Samples

319.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult: 64.0ms (36.7% of total)

ival-div: 56.0ms (32.1% of total)

ival-add: 41.0ms (23.5% of total)

ival-true: 6.0ms (3.4% of total)

exact: 5.0ms (2.9% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

explain86.0ms (1.5%)

Memory

-13.3MiB live, 99.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
64	-	-	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	n/o	64	0
↳	`(*.f64 x x)`	overflow	64
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	64

Confusion

	Predicted +	Predicted -
+	64	0
-	0	192

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	0
-	0	0	192

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	192
1	64

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions

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

ival-mult: 4.0ms (37% of total)

ival-div: 3.0ms (27.8% of total)

ival-add: 2.0ms (18.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess16.0ms (0.3%)

Memory

16.8MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	24	15
2	56	14
3	71	14
4	91	14
0	5	7
0	8	7
1	15	7
2	34	7
3	61	7
4	78	7
5	81	7
6	89	7
7	91	7
0	91	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.7%	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify41.0ms (0.7%)

Memory

-41.9MiB live, 3.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	15	17
2	34	17
3	61	17
4	78	17
5	81	17
6	89	17
7	91	17
0	91	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.3%)

Memory

15.7MiB live, 15.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	14.901508036964763	(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (51.5% of total)

ival-div: 2.0ms (34.3% of total)

ival-add: 1.0ms (17.2% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Counts

3 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

simplify148.0ms (2.6%)

Memory

0.7MiB live, 154.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	152
1	128	150
2	336	142
3	1106	140
4	2977	137
5	7066	135
0	8174	131

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite195.0ms (3.4%)

Memory

15.8MiB live, 124.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	33	15
2	220	15
3	2396	15
0	9401	13

Stop Event

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

Counts

3 → 236

Calls

Call 1

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

Outputs
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #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 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.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 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.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 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.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 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (tanh.f64 (log.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (tanh.f64 (log.f64 x))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.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))) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.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 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 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 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.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 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 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)))))))
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(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 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))))

eval40.0ms (0.7%)

Memory: 8.0MiB live, 56.3MiB allocated
Compiler: Compiled 6 534 to 801 computations (87.7% saved)

prune10.0ms (0.2%)

Memory

-19.6MiB live, 18.0MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	243	6	249
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	244	6	250

Accuracy

100.0%

Counts

250 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.0%	(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
▶	76.7%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
▶	63.3%	(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
▶	48.7%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
▶	54.1%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	47.4%	#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))

Compiler

Compiled 118 to 88 computations (25.4% saved)

simplify156.0ms (2.7%)

Memory

21.8MiB live, 149.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	89
0	30	89
1	40	89
2	70	89
3	136	89
4	202	89
5	228	89
6	274	89
7	417	89
8	649	89
9	1236	89
10	1882	89
11	3110	89
12	6205	89
0	8131	89

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
x
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
x
(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

Outputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
x
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
x
(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

localize44.0ms (0.8%)

Memory

-11.6MiB live, 63.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy	14.901508036964763	(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
accuracy	15.483209830500565	(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.00390625	(-.f64 x (pow.f64 x #s(literal 3 binary64)))
accuracy	33.68263938597549	#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
accuracy	14.901508036964763	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
accuracy	32.70426321181617	#s(approx (+ (* x x) 1) #s(literal 1 binary64))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	29.354880727614933	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy	0.0	(fma.f64 x x #s(literal 1 binary64))
accuracy	14.901508036964763	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))

Samples

31.0ms

256×

valid

Compiler

Compiled 83 to 16 computations (80.7% saved)

Precisions

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

ival-div: 5.0ms (28.5% of total)

ival-pow: 5.0ms (28.5% of total)

ival-add: 2.0ms (11.4% of total)

ival-mult: 2.0ms (11.4% of total)

ival-sqrt: 2.0ms (11.4% of total)

ival-sub: 1.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

13 → 20

Calls

Call 1

Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (- x (pow x 3)) (pow x 3) (/ x (+ (sqrt (pow x 4)) 1)) (+ (sqrt (pow x 4)) 1) (sqrt (pow x 4)) (pow x 4))
1.0ms	x	@	inf	((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (- x (pow x 3)) (pow x 3) (/ x (+ (sqrt (pow x 4)) 1)) (+ (sqrt (pow x 4)) 1) (sqrt (pow x 4)) (pow x 4))
1.0ms	x	@	0	((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (- x (pow x 3)) (pow x 3) (/ x (+ (sqrt (pow x 4)) 1)) (+ (sqrt (pow x 4)) 1) (sqrt (pow x 4)) (pow x 4))

Time

Variable

Point

Expression

2.0ms

-inf

((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (- x (pow x 3)) (pow x 3) (/ x (+ (sqrt (pow x 4)) 1)) (+ (sqrt (pow x 4)) 1) (sqrt (pow x 4)) (pow x 4))

1.0ms

inf

((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (- x (pow x 3)) (pow x 3) (/ x (+ (sqrt (pow x 4)) 1)) (+ (sqrt (pow x 4)) 1) (sqrt (pow x 4)) (pow x 4))

1.0ms

((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (- x (pow x 3)) (pow x 3) (/ x (+ (sqrt (pow x 4)) 1)) (+ (sqrt (pow x 4)) 1) (sqrt (pow x 4)) (pow x 4))

simplify386.0ms (6.8%)

Memory

-10.5MiB live, 142.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	185
1	143	175
2	375	175
3	1265	173
4	3243	170
5	7454	168
0	8189	164

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

rewrite405.0ms (7.1%)

Memory

1.5MiB live, 199.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	78
0	30	73
1	89	73
2	457	73
3	5077	73
0	8607	73

Stop Event

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

Counts

13 → 417

Calls

Call 1

Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))

Outputs
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.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 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 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 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)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (-.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 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 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 x (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 x (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 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))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))))
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(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #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 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.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 (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 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.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 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 8 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(*.f64 (exp.f64 (log.f64 (pow.f64 x #s(literal 5/2 binary64)))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(.f64 (.f64 x (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (pow.f64 x #s(literal 5/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))))
(/.f64 (pow.f64 x #s(literal 5 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) x (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(fma.f64 x (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (.f64 x (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (-.f64 (log.f64 (pow.f64 x #s(literal 5 binary64))) (log.f64 x)))
(exp.f64 (/.f64 (*.f64 #s(literal 8 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) x) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) x))
(+.f64 (.f64 x (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 x (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))

eval79.0ms (1.4%)

Memory: 6.4MiB live, 84.1MiB allocated
Compiler: Compiled 6 553 to 1 151 computations (82.4% saved)

prune6.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	338	1	339
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	339	6	345

Accuracy

100.0%

Counts

345 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
✓	76.7%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	63.3%	(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
✓	48.7%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
✓	54.1%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
▶	47.4%	#s(approx (/ x (+ (* x x) 1)) (-.f64 x (.f64 (.f64 x x) x)))

Compiler

Compiled 61 to 44 computations (27.9% saved)

simplify305.0ms (5.3%)

Memory

2.8MiB live, 164.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	24	65
1	47	59
2	128	57
3	320	57
4	921	57
5	2412	57
6	6149	57
0	8152	56

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.9%)

Memory

5.2MiB live, 41.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
accuracy	0.046875	(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
accuracy	24.510193071990027	(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(-.f64 x (.f64 (.f64 x x) x))
accuracy	0.09765625	(.f64 (.f64 x x) x)
accuracy	33.68263938597549	#s(approx (/ x (+ (* x x) 1)) (-.f64 x (.f64 (.f64 x x) x)))

Samples

24.0ms

256×

valid

Compiler

Compiled 62 to 16 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 5.0ms (32.2% of total)

ival-div: 3.0ms (19.3% of total)

ival-pow: 3.0ms (19.3% of total)

ival-sub: 2.0ms (12.9% of total)

ival-add: 2.0ms (12.9% of total)

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

exact: 0.0ms (0% of total)

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

series156.0ms (2.7%)

Memory

-26.1MiB live, 11.6MiB allocated

Counts

9 → 26

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

153.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify136.0ms (2.4%)

Memory

41.1MiB live, 185.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	239
1	148	229
2	353	229
3	1173	226
4	3085	220
5	6805	220
0	8197	217

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

Calls

Call 1

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

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

rewrite227.0ms (4%)

Memory

-7.4MiB live, 153.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	60
0	24	53
1	106	53
2	722	46
0	9603	46

Stop Event

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

Counts

9 → 923

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (neg.f64 x) x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (neg.f64 x) (.f64 x x))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (neg.f64 x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 (neg.f64 x) x))
(.f64 x (.f64 x x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (.f64 #s(literal 3 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 3 binary64) (log.f64 x))))
#s(approx (/ x (+ (* x x) 1)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.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 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) #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 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))))) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x))
(.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 x #s(literal 1 binary64)) x))
(.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 x x x) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x))
(.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)))
(.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -1 binary64))
(*.f64 (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(.f64 x (.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x #s(literal 1 binary64))) x)
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) x) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (-.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 (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (.f64 x (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)))) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (.f64 x (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (.f64 (*.f64 x (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) x) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) x) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
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(fma.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x #s(literal -1 binary64))
(fma.f64 (.f64 x x) (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (.f64 x x) (fma.f64 x x #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))
(fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(+.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)))) (fma.f64 x x #s(literal 1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 (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 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) (*.f64 (neg.f64 x) x))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64) (.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))
(+.f64 (neg.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))

eval197.0ms (3.4%)

Memory: -16.1MiB live, 109.8MiB allocated
Compiler: Compiled 17 941 to 2 209 computations (87.7% saved)

prune41.0ms (0.7%)

Memory

10.0MiB live, 46.6MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	752	2	754
Fresh	0	0	0
Picked	1	1	2
Done	1	3	4
Total	754	6	760

Accuracy

100.0%

Counts

760 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
▶	61.0%	(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))
✓	76.7%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	48.7%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
✓	54.1%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	47.4%	#s(approx (/ x (+ (* x x) 1)) (-.f64 x (.f64 (.f64 x x) x)))

Compiler

Compiled 75 to 46 computations (38.7% saved)

simplify245.0ms (4.3%)

Memory

-13.4MiB live, 88.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	1	(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
cost-diff	3	(fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))
cost-diff	5	(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	1	(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
cost-diff	5	(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))
cost-diff	7	(.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	100
0	26	108
1	72	88
2	314	66
3	2011	66
0	8532	66

Stop Event

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

Calls

Call 1

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

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

localize52.0ms (0.9%)

Memory

9.8MiB live, 48.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.046875	(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.0625	(fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))
accuracy	24.510193071990027	(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
accuracy	0.04296875	(.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
accuracy	0.046875	(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.046875	(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
accuracy	24.510193071990027	(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))

Samples

42.0ms

256×

valid

Compiler

Compiled 114 to 17 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-add: 21.0ms (63.8% of total)

ival-mult: 7.0ms (21.3% of total)

ival-div: 3.0ms (9.1% of total)

ival-sub: 1.0ms (3% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.4%)

Memory

-27.3MiB live, 10.3MiB allocated

Counts

8 → 32

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

16.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify183.0ms (3.2%)

Memory

19.9MiB live, 219.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	324
1	223	307
2	580	307
3	1960	296
4	5376	290
0	8166	284

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

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

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

rewrite376.0ms (6.6%)

Memory

-0.1MiB live, 260.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	75
0	26	83
1	127	52
2	1107	46
0	10759	46

Stop Event

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

Counts

8 → 1 935

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (neg.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (-.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 x x) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 x x) (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (fma.f64 x x (-.f64 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 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 12 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 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 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) #s(literal 3 binary64))) (-.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (neg.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)))
(fma.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)))
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(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 x) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x x)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x)))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 x) x)))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 x (fma.f64 x x x)))
(fma.f64 x (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))))
(-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x (fma.f64 x x x)))
(+.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (.f64 (pow.f64 (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))) (.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (-.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal 1 binary64))))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 x (fma.f64 x x x)))
(+.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x) (-.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x (fma.f64 x x x)) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 x (fma.f64 x x x)) (-.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(+.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))))
(+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x)))
(+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 x) x)))
(+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x))
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x (fma.f64 x x x)))
(.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(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))))

eval242.0ms (4.2%)

Memory: 22.7MiB live, 349.2MiB allocated
Compiler: Compiled 47 115 to 4 139 computations (91.2% saved)

prune136.0ms (2.4%)

Memory

-34.1MiB live, 92.9MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	1 786	0	1 786
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	1 786	6	1 792

Accuracy

100.0%

Counts

1 792 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.0%	(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
✓	61.0%	(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))
✓	76.7%	(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
✓	48.7%	(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
✓	54.1%	#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
✓	47.4%	#s(approx (/ x (+ (* x x) 1)) (-.f64 x (.f64 (.f64 x x) x)))

Compiler

Compiled 190 to 85 computations (55.3% saved)

regimes7.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (.f64 (.f64 x x) x)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (.f64 (.f64 x x) x)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ (* x x) 1)) (-.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 x (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes6.0ms (0.1%)

Memory

-28.6MiB live, 8.2MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
79.4%	4	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
99.0%	2	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
54.1%	1	`(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
54.1%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	2898481.536253768	1624377866.2521653

Samples

1.0ms

32×

valid

Compiler

Compiled 56 to 47 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	2898481.536253768	1624377866.2521653

Samples

1.0ms

16×

valid

Compiler

Compiled 88 to 60 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	2898481.536253768	1624377866.2521653

Compiler

Compiled 44 to 37 computations (15.9% saved)

bsearch16.0ms (0.3%)

Memory

-22.3MiB live, 19.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.009821765747608296	117.90394646386889

Samples

5.0ms

128×

valid

Compiler

Compiled 218 to 161 computations (26.1% saved)

Precisions

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

ival-div: 1.0ms (39.2% of total)

ival-add: 1.0ms (39.2% of total)

ival-mult: 1.0ms (39.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0.1%)

Memory

6.3MiB live, 6.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.009821765747608296	117.90394646386889

Samples

1.0ms

32×

valid

Compiler

Compiled 170 to 145 computations (14.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify16.0ms (0.3%)

Memory

-9.5MiB live, 26.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	143
1	49	143
2	81	143
3	118	143
4	136	143
5	139	143
6	145	143
7	153	143
8	157	143
9	161	143

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(approx (/ x (+ ( x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) #s(approx (/ x (+ ( x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ x (+ (* x x) 1)) (-.f64 x (.f64 (.f64 x x) x))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))

Outputs
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(approx (/ x (+ ( x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(approx (/ x (+ ( x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) #s(approx (/ x (+ ( x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1 binary64))) #s(approx (/ x (+ ( x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ x (+ (* x x) 1)) (-.f64 x (.f64 (.f64 x x) x))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) #s(approx (/ x (+ (* x x) 1)) (-.f64 x (.f64 (.f64 x x) x))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))

soundness877.0ms (15.3%)

Memory

0.2MiB live, 533.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
0	24	53
1	106	53
2	722	46
0	9603	46
0	45	152
1	128	150
2	336	142
3	1106	140
4	2977	137
5	7066	135
0	8174	131
0	20	78
0	30	73
1	89	73
2	457	73
3	5077	73
0	8607	73
0	5	15
0	8	15
1	33	15
2	220	15
3	2396	15
0	9401	13

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter 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 260 to 112 computations (56.9% saved)

preprocess107.0ms (1.9%)

Memory: 0.9MiB live, 117.5MiB allocated
Compiler: Compiled 422 to 162 computations (61.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	17
1	24	15
2	56	14
3	71	14
4	91	14
0	5	7
0	8	7
1	15	7
2	34	7
3	61	7
4	78	7
5	81	7
6	89	7
7	91	7
0	91	6

Iter	Nodes	Cost
0	34	143
1	49	143
2	81	143
3	118	143
4	136	143
5	139	143
6	145	143
7	153	143
8	157	143
9	161	143

Iter	Nodes	Cost
0	7	17
1	24	15
2	56	14
3	71	14
4	91	14
0	5	7
0	8	7
1	15	7
2	34	7
3	61	7
4	78	7
5	81	7
6	89	7
7	91	7
0	91	6

Iter	Nodes	Cost
0	34	143
1	49	143
2	81	143
3	118	143
4	136	143
5	139	143
6	145	143
7	153	143
8	157	143
9	161	143

start0.0ms (0%)

analyze0.0ms (0%)

sample609.0ms (10.7%)

explain86.0ms (1.5%)

preprocess16.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify41.0ms (0.7%)

localize15.0ms (0.3%)

series2.0ms (0%)

simplify148.0ms (2.6%)

rewrite195.0ms (3.4%)

eval40.0ms (0.7%)

prune10.0ms (0.2%)

simplify156.0ms (2.7%)

localize44.0ms (0.8%)

series5.0ms (0.1%)

simplify386.0ms (6.8%)

rewrite405.0ms (7.1%)

eval79.0ms (1.4%)

prune6.0ms (0.1%)

simplify305.0ms (5.3%)

localize109.0ms (1.9%)

series156.0ms (2.7%)

simplify136.0ms (2.4%)

rewrite227.0ms (4%)

eval197.0ms (3.4%)

prune41.0ms (0.7%)

simplify245.0ms (4.3%)

localize52.0ms (0.9%)

series20.0ms (0.4%)

simplify183.0ms (3.2%)

rewrite376.0ms (6.6%)

eval242.0ms (4.2%)

prune136.0ms (2.4%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch3.0ms (0.1%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.3%)

bsearch3.0ms (0.1%)

simplify16.0ms (0.3%)

soundness877.0ms (15.3%)

preprocess107.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	17
1	24	15
2	56	14
3	71	14
4	91	14
0	5	7
0	8	7
1	15	7
2	34	7
3	61	7
4	78	7
5	81	7
6	89	7
7	91	7
0	91	6

Iter	Nodes	Cost
0	34	143
1	49	143
2	81	143
3	118	143
4	136	143
5	139	143
6	145	143
7	153	143
8	157	143
9	161	143