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

3.9MiB live, 3.9MiB 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)

sample501.0ms (37.3%)

Memory

-18.1MiB live, 1 370.0MiB allocated; 226ms collecting garbage

Samples

309.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-sub!: 89.0ms (60.7% of total)

ival-div!: 56.0ms (38.2% of total)

adjust: 2.0ms (1.4% of total)

Bogosity

explain102.0ms (7.6%)

Memory

26.9MiB live, 171.5MiB allocated; 13ms 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

45.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-sub!: 27.0ms (88.3% of total)

ival-div!: 3.0ms (9.8% of total)

adjust: 0.0ms (0% of total)

preprocess100.0ms (7.5%)

Memory

-33.2MiB live, 68.1MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 4 (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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 8 computations (20% saved)

series3.0ms (0.3%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms 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
2.0ms	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)

rewrite141.0ms (10.5%)

Memory

43.2MiB live, 325.2MiB allocated; 25ms 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)))

eval7.0ms (0.5%)

Memory: -25.8MiB live, 19.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 498 to 139 computations (72.1% saved)

prune3.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Accuracy

100.0%

Counts

47 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	51.8%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))
▶	52.4%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
▶	51.4%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	51.8%	#s(approx (/ x (- 1 x)) x)
▶	49.6%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 111 to 68 computations (38.7% saved)

series3.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

10 → 30

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

rewrite198.0ms (14.7%)

Memory

-5.2MiB live, 327.6MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	90	563
0	97	524
1	458	508
0	4890	508

Stop Event

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

Counts

40 → 167

Calls

Call 1

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

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

eval46.0ms (3.4%)

Memory: 0.9MiB live, 151.3MiB allocated; 23ms collecting garbage
Compiler: Compiled 7 504 to 888 computations (88.2% saved)

prune8.0ms (0.6%)

Memory

-10.0MiB live, 35.3MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	346	1	347
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	346	7	353

Accuracy

100.0%

Counts

353 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	51.8%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))
✓	52.4%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	51.4%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	51.4%	#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
✓	51.8%	#s(approx (/ x (- 1 x)) x)
✓	49.6%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 69 to 44 computations (36.2% saved)

series2.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

5 → 18

Calls

Call 1

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

Calls

3 calls:

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

rewrite98.0ms (7.3%)

Memory

-5.5MiB live, 185.5MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	229
0	55	215
1	258	210
0	2668	196

Stop Event

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

Counts

23 → 85

Calls

Call 1

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

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

eval9.0ms (0.7%)

Memory: -6.7MiB live, 37.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 271 to 272 computations (78.6% saved)

prune4.0ms (0.3%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	73	7	80

Accuracy

100.0%

Counts

80 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	51.8%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x x))
✓	52.4%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	51.4%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	51.4%	#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
✓	51.8%	#s(approx (/ x (- 1 x)) x)
✓	49.6%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 138 to 63 computations (54.3% saved)

regimes14.0ms (1.1%)

Memory

-2.9MiB live, 53.9MiB allocated; 5ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
2.0ms	(/.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)

regimes7.0ms (0.5%)

Memory

-20.6MiB live, 23.2MiB allocated; 4ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
2.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
98.9%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`
98.9%	3	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes2.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
98.5%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes1.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
97.8%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.3%)

Memory

-34.3MiB live, 12.4MiB allocated; 2ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.6%	1	`x`
49.6%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999996300944068	-0.001897777854239155

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999996300944068	-0.001897777854239155

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999996300944068	-0.001897777854239155

Compiler

Compiled 8 to 8 computations (0% saved)

derivations63.0ms (4.7%)

Memory

-4.7MiB live, 188.7MiB allocated; 13ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 87 to 19 computations (78.2% saved)

preprocess24.0ms (1.8%)

Memory: 43.0MiB live, 86.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 184 to 46 computations (75% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample501.0ms (37.3%)

explain102.0ms (7.6%)

preprocess100.0ms (7.5%)

series3.0ms (0.3%)

rewrite141.0ms (10.5%)

eval7.0ms (0.5%)

prune3.0ms (0.2%)

series3.0ms (0.2%)

rewrite198.0ms (14.7%)

eval46.0ms (3.4%)

prune8.0ms (0.6%)

series2.0ms (0.1%)

rewrite98.0ms (7.3%)

eval9.0ms (0.7%)

prune4.0ms (0.3%)

regimes14.0ms (1.1%)

regimes7.0ms (0.5%)

regimes2.0ms (0.1%)

regimes1.0ms (0.1%)

regimes4.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations63.0ms (4.7%)

preprocess24.0ms (1.8%)

end0.0ms (0%)

Profiling