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)

sample462.0ms (56%)

Memory

13.7MiB live, 537.0MiB allocated; 127ms collecting garbage

Samples

313.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-div!: 49.0ms (58.9% of total)

ival-sub!: 33.0ms (39.7% of total)

adjust: 1.0ms (1.2% of total)

Bogosity

preprocess99.0ms (12%)

Memory

-13.6MiB live, 32.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	20	18
2	41	18
3	75	16
4	267	15
5	2271	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 8 to 8 computations (0% saved)

series2.0ms (0.2%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Counts

4 → 14

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 (- 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)

rewrite84.0ms (10.2%)

Memory

36.0MiB live, 82.4MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	190
0	52	181
1	270	175
0	2681	169

Stop Event

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

Counts

18 → 48

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

eval4.0ms (0.5%)

Memory: 9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 234 to 129 computations (44.9% saved)

prune5.0ms (0.6%)

Memory

-41.3MiB live, 3.1MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Accuracy

100.0%

Counts

45 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	50.7%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	51.7%	#s(approx (/ x (- 1 x)) x)
▶	48.6%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 21 to 21 computations (0% saved)

series2.0ms (0.2%)

Memory

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

Counts

6 → 11

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)

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 -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 (- 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)) -1 (/ x (- 1 x)) x (/ x (- 1 x)) (+ (* x x) x))
0.0ms	x	@	inf	((/ x (- 1 x)) -1 (/ x (- 1 x)) x (/ x (- 1 x)) (+ (* x x) x))
0.0ms	x	@	0	((/ x (- 1 x)) -1 (/ x (- 1 x)) x (/ x (- 1 x)) (+ (* x x) x))

rewrite85.0ms (10.3%)

Memory

32.3MiB live, 128.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	187
0	45	178
1	249	168
0	2693	165

Stop Event

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

Counts

17 → 74

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

eval9.0ms (1%)

Memory: -30.0MiB live, 15.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 471 to 217 computations (53.9% saved)

prune2.0ms (0.3%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	65	4	69

Accuracy

100.0%

Counts

69 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	50.7%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	51.7%	#s(approx (/ x (- 1 x)) x)
✓	48.6%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 37 to 33 computations (10.8% saved)

regimes4.0ms (0.4%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

4 → 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))
(/.f64 x (-.f64 #s(literal 1 binary64) x))

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

Calls

2 calls:

2.0ms	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 5 to 5 computations (0% saved)

regimes3.0ms (0.4%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

3 → 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))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.0%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`
97.0%	3	`x`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes1.0ms (0.2%)

Memory

4.6MiB live, 4.6MiB 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
96.7%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 4 to 4 computations (0% saved)

regimes2.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB 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
48.6%	1	`x`
48.6%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 5 to 5 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.8372393380562995	-0.0017898024478086977

Compiler

Compiled 7 to 8 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.8372393380562995	-0.0017898024478086977

Compiler

Compiled 7 to 8 computations (-14.3% saved)

derivations33.0ms (3.9%)

Memory

-1.3MiB live, 44.9MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 22 to 16 computations (27.3% saved)

preprocess28.0ms (3.3%)

Memory: -35.5MiB live, 65.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 26 to 20 computations (23.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample462.0ms (56%)

preprocess99.0ms (12%)

series2.0ms (0.2%)

rewrite84.0ms (10.2%)

eval4.0ms (0.5%)

prune5.0ms (0.6%)

series2.0ms (0.2%)

rewrite85.0ms (10.3%)

eval9.0ms (1%)

prune2.0ms (0.3%)

regimes4.0ms (0.4%)

regimes3.0ms (0.4%)

regimes1.0ms (0.2%)

regimes2.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations33.0ms (3.9%)

preprocess28.0ms (3.3%)

end0.0ms (0%)

Profiling