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

1.9MiB live, 1.9MiB 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)

sample464.0ms (41.3%)

Memory

24.7MiB live, 544.2MiB allocated; 86ms collecting garbage

Samples

259.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-div!: 46.0ms (61.4% of total)

ival-sub!: 28.0ms (37.4% of total)

adjust: 2.0ms (2.7% of total)

Bogosity

explain70.0ms (6.3%)

Memory

-21.2MiB live, 70.0MiB allocated; 10ms 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

35.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div!: 3.0ms (66.1% of total)

ival-sub!: 2.0ms (44% of total)

adjust: 0.0ms (0% of total)

preprocess88.0ms (7.8%)

Memory

-14.4MiB live, 28.9MiB allocated; 12ms 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)

series2.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB 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
1.0ms	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)

rewrite96.0ms (8.5%)

Memory

23.0MiB live, 122.0MiB allocated; 16ms 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 (0.4%)

Memory: 9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 523 to 140 computations (73.2% saved)

prune2.0ms (0.2%)

Memory

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

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	5	52

Accuracy

100.0%

Counts

52 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	50.9%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
▶	50.0%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	50.6%	#s(approx (/ x (- 1 x)) x)
▶	51.3%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 42 to 28 computations (33.3% saved)

series6.0ms (0.5%)

Memory

-41.0MiB live, 4.4MiB allocated; 5ms collecting garbage

Counts

8 → 21

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

4.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

rewrite137.0ms (12.2%)

Memory

26.7MiB live, 132.8MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	341
0	67	317
1	318	308
0	3200	307

Stop Event

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

Counts

29 → 133

Calls

Call 1

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

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

eval53.0ms (4.7%)

Memory: -21.0MiB live, 66.8MiB allocated; 17ms collecting garbage
Compiler: Compiled 3 903 to 545 computations (86% saved)

prune4.0ms (0.4%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	210	1	211
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	210	6	216

Accuracy

100.0%

Counts

216 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	50.9%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	50.0%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	49.9%	#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
✓	50.6%	#s(approx (/ x (- 1 x)) x)
✓	51.3%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 53 to 36 computations (32.1% saved)

series2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB 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)

rewrite102.0ms (9.1%)

Memory

-20.8MiB live, 75.5MiB allocated; 31ms 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)))

eval8.0ms (0.7%)

Memory: 20.9MiB live, 20.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 389 to 281 computations (79.8% saved)

prune4.0ms (0.4%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	84	6	90

Accuracy

100.0%

Counts

90 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	50.9%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	50.0%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	49.9%	#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
✓	50.6%	#s(approx (/ x (- 1 x)) x)
✓	51.3%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 106 to 53 computations (50% saved)

regimes7.0ms (0.6%)

Memory

-36.7MiB live, 10.5MiB allocated; 4ms collecting garbage

Counts

6 → 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))

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

Calls

2 calls:

4.0ms	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)

regimes4.0ms (0.4%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
99.2%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`
99.2%	3	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes2.0ms (0.2%)

Memory

4.3MiB live, 4.3MiB 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
99.0%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes1.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB 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
98.5%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
51.3%	1	`x`
51.3%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999993236532	-2.331561773417759e-6

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999993236532	-2.331561773417759e-6

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999993236532	-2.331561773417759e-6

Compiler

Compiled 8 to 8 computations (0% saved)

derivations40.0ms (3.6%)

Memory

0.1MiB live, 46.1MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 87 to 19 computations (78.2% saved)

preprocess22.0ms (1.9%)

Memory: -2.8MiB live, 43.8MiB allocated; 3ms 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%)

sample464.0ms (41.3%)

explain70.0ms (6.3%)

preprocess88.0ms (7.8%)

series2.0ms (0.2%)

rewrite96.0ms (8.5%)

eval5.0ms (0.4%)

prune2.0ms (0.2%)

series6.0ms (0.5%)

rewrite137.0ms (12.2%)

eval53.0ms (4.7%)

prune4.0ms (0.4%)

series2.0ms (0.1%)

rewrite102.0ms (9.1%)

eval8.0ms (0.7%)

prune4.0ms (0.4%)

regimes7.0ms (0.6%)

regimes4.0ms (0.4%)

regimes2.0ms (0.2%)

regimes1.0ms (0.1%)

regimes2.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations40.0ms (3.6%)

preprocess22.0ms (1.9%)

end0.0ms (0%)

Profiling