Metrics for Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

3.2MiB live, 3.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample585.0ms (27.7%)

Memory

-13.0MiB live, 612.3MiB allocated; 132ms collecting garbage

Samples

387.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-sub: 138.0ms (63.8% of total)

ival-div: 66.0ms (30.5% of total)

exact: 7.0ms (3.2% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain92.0ms (4.4%)

Memory

-0.8MiB live, 44.8MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

18.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (49.4% of total)

ival-sub: 3.0ms (37.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess242.0ms (11.5%)

Memory

15.9MiB live, 204.7MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	16	18
2	21	18
3	38	16
4	90	15
5	340	15
6	3065	15
7	7385	15
0	4	5
0	6	5
1	8	5
2	11	5
3	21	5
4	54	5
5	243	5
6	2067	5
7	5355	5
0	8498	5

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 4 computations (20% saved)

series5.0ms (0.3%)

Memory

-42.6MiB live, 3.4MiB allocated; 6ms collecting garbage

Counts

4 → 15

Calls

Call 1

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

Outputs
#s(approx (/ x (- 1 x)) #s(hole binary64 x))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ x (- 1 x)) #s(hole binary64 -1))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* -1 (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ x (- 1 x)) x (- 1 x) 1)
1.0ms	x	@	inf	((/ x (- 1 x)) x (- 1 x) 1)
0.0ms	x	@	0	((/ x (- 1 x)) x (- 1 x) 1)

rewrite99.0ms (4.7%)

Memory

6.3MiB live, 107.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	193
0	53	184
1	271	178
0	2708	172

Stop Event

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

Counts

19 → 49

Calls

Call 1

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

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

eval5.0ms (0.3%)

Memory: 7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 523 to 140 computations (73.2% saved)

prune17.0ms (0.8%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Accuracy

100.0%

Counts

52 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.5%	(/.f64 x (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	51.3%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))

Status

Accuracy

Program

79.5%

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

✓

100.0%

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

▶

51.3%

#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series7.0ms (0.3%)

Memory

-41.4MiB live, 4.9MiB allocated; 5ms collecting garbage

Counts

5 → 30

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))
(fma.f64 (fma.f64 (fma.f64 x x x) x x) x x)
(fma.f64 (fma.f64 x x x) x x)
(fma.f64 x x x)
x

Outputs
#s(approx (/ x (- 1 x)) #s(hole binary64 x))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx (+ (* (+ (* x x) x) x) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* x x) x) x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ (* (+ (* x x) x) x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (+ (* x x) x) #s(hole binary64 x))
#s(approx (+ (* x x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (- 1 x)) #s(hole binary64 -1))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* -1 (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (* (pow x 4) (+ 1 (/ 1 x)))))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (* (pow x 4) (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* x x) x) x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (+ (* x x) x) x) x) #s(hole binary64 (* (pow x 3) (+ 1 (/ 1 x)))))
#s(approx (+ (* (+ (* x x) x) x) x) #s(hole binary64 (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))))))
#s(approx (+ (* (+ (* x x) x) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ x (- 1 x)) (+ (* (+ (* (+ (* x x) x) x) x) x) x) (+ (* (+ (* x x) x) x) x) (+ (* x x) x) x)
1.0ms	x	@	inf	((/ x (- 1 x)) (+ (* (+ (* (+ (* x x) x) x) x) x) x) (+ (* (+ (* x x) x) x) x) (+ (* x x) x) x)
0.0ms	x	@	0	((/ x (- 1 x)) (+ (* (+ (* (+ (* x x) x) x) x) x) x) (+ (* (+ (* x x) x) x) x) (+ (* x x) x) x)

Time

Variable

Point

Expression

5.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

rewrite145.0ms (6.9%)

Memory

1.2MiB live, 152.1MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	525
0	93	486
1	455	470
0	4889	470

Stop Event

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

Counts

35 → 162

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))
(fma.f64 (fma.f64 (fma.f64 x x x) x x) x x)
(fma.f64 (fma.f64 x x x) x x)
(fma.f64 x x x)
x
#s(approx (/ x (- 1 x)) #s(hole binary64 x))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 x))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx (+ (* (+ (* x x) x) x) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* x x) x) x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ (* (+ (* x x) x) x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (+ (* x x) x) #s(hole binary64 x))
#s(approx (+ (* x x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (- 1 x)) #s(hole binary64 -1))
#s(approx (/ x (- 1 x)) #s(hole binary64 (* -1 (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (* (pow x 4) (+ 1 (/ 1 x)))))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (* (pow x 4) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (* (pow x 4) (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))))
#s(approx (+ (* (+ (* x x) x) x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (+ (* x x) x) x) x) #s(hole binary64 (* (pow x 3) (+ 1 (/ 1 x)))))
#s(approx (+ (* (+ (* x x) x) x) x) #s(hole binary64 (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
#s(approx (+ (* (+ (* (+ (* x x) x) x) x) x) x) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))))))
#s(approx (+ (* (+ (* x x) x) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))))

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

eval23.0ms (1.1%)

Memory: 4.1MiB live, 49.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 033 to 701 computations (82.6% saved)

prune282.0ms (13.4%)

Memory

44.2MiB live, 368.5MiB allocated; 75ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	170	3	173

Accuracy

100.0%

Counts

173 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(/.f64 x (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	51.3%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))

Status

Accuracy

Program

▶

79.5%

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

✓

100.0%

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

✓

51.3%

#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series4.0ms (0.2%)

Memory

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

Counts

8 → 25

Calls

Call 1

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

Outputs
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) #s(hole binary64 x))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) #s(hole binary64 (* x (+ 1 x))))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) #s(hole binary64 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) #s(hole binary64 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 1))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (neg x) 1) #s(hole binary64 -1))
#s(approx (- (neg x) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) #s(hole binary64 -1))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) #s(hole binary64 (* -1 (+ 1 (/ 1 x)))))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) #s(hole binary64 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 x))))))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) #s(hole binary64 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite132.0ms (6.3%)

Memory

-15.2MiB live, 121.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	414
0	85	395
1	365	277
0	3288	265

Stop Event

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

Counts

33 → 191

Calls

Call 1

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

Outputs
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(*.f64 x (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 x (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))
x
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (.f64 x (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))) (fma.f64 x (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (.f64 x (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) x))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.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)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(expm1.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(expm1.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 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)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 x x) #s(literal -1 binary64)))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.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))))
#s(literal 1 binary64)
(.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) x)
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 x #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x))
(+.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64))))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(neg.f64 x)
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) x)
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) (fma.f64 x x x))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) (fma.f64 (fma.f64 x x x) x x))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))
#s(approx x x)
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(literal 1 binary64))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) (-.f64 #s(literal 1 binary64) x))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (neg x) 1) #s(literal -1 binary64))
#s(approx (- (neg x) 1) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) #s(literal -1 binary64))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1 binary64)))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) (-.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) (neg.f64 x))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (* x x) 1) (*.f64 x x))
#s(approx (- (* x x) 1) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) x))
#s(approx (- (neg x) 1) (neg.f64 x))
#s(approx (- (neg x) 1) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
#s(approx (/ x (/ (- (* x x) 1) (- (neg x) 1))) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)))

eval27.0ms (1.3%)

Memory: -1.1MiB live, 47.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 3 050 to 678 computations (77.8% saved)

prune380.0ms (18.1%)

Memory

-28.8MiB live, 370.4MiB allocated; 147ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	197	3	200

Accuracy

100.0%

Counts

200 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.5%	(/.f64 x (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	51.3%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))

Status

Accuracy

Program

✓

79.5%

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

✓

100.0%

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

✓

51.3%

#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))

Compiler

Compiled 66 to 37 computations (43.9% saved)

regimes3.0ms (0.1%)

Memory

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

Accuracy

Total -31.2b remaining (-398920%)

Threshold costs -31.2b (-398920%)

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify49.0ms (2.3%)

Memory

-1.7MiB live, 44.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	8	5
2	15	5
3	24	5
4	47	5
5	220	5
6	2200	5
7	5390	5

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations0.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 5 to 4 computations (20% saved)

preprocess9.0ms (0.4%)

Memory: 15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 20 to 16 computations (20% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample585.0ms (27.7%)

explain92.0ms (4.4%)

preprocess242.0ms (11.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.3%)

rewrite99.0ms (4.7%)

eval5.0ms (0.3%)

prune17.0ms (0.8%)

series7.0ms (0.3%)

rewrite145.0ms (6.9%)

eval23.0ms (1.1%)

prune282.0ms (13.4%)

series4.0ms (0.2%)

rewrite132.0ms (6.3%)

eval27.0ms (1.3%)

prune380.0ms (18.1%)

regimes3.0ms (0.1%)

simplify49.0ms (2.3%)

derivations0.0ms (0%)

preprocess9.0ms (0.4%)

end0.0ms (0%)

Profiling