Metrics for ln(1 + x)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample714.0ms (41.7%)

Memory

28.3MiB live, 545.3MiB allocated; 116ms collecting garbage

Samples

473.0ms	8 256×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-log1p: 227.0ms (99.1% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

preprocess72.0ms (4.2%)

Memory

-13.6MiB live, 29.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	23	13
2	65	13
3	206	13
4	1244	13

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	41.9%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 8 to 8 computations (0% saved)

series2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

4 → 14

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite159.0ms (9.3%)

Memory

37.8MiB live, 182.5MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	229
0	70	204
1	476	189
2	2091	179
0	8643	149
1	20319	149

Stop Event

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

Counts

18 → 42

Calls

Call 1

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

Outputs
(log1p.f64 (neg.f64 (neg.f64 x)))
(log1p.f64 x)
(log.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) x)))
(log.f64 (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(*.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(neg.f64 (fma.f64 x #s(literal -1 binary64) (/.f64 (neg.f64 x) x)))
(neg.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (neg.f64 x) x)))
(neg.f64 (fma.f64 x #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) x)))
(neg.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 #s(literal -1 binary64) x) x)))
(neg.f64 (fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 x (/.f64 (neg.f64 x) x))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 x (neg.f64 (/.f64 (neg.f64 x) x)))
(+.f64 x (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (-.f64 x #s(literal -1 binary64)))
#s(approx (log (+ 1 x)) (log.f64 x))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x)))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x)))
#s(approx (+ 1 x) (-.f64 x #s(literal -1 binary64)))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x)))

eval53.0ms (3.1%)

Memory: -39.4MiB live, 5.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 170 to 115 computations (32.4% saved)

prune3.0ms (0.2%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	32	5	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	5	38

Accuracy

100.0%

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 x)
▶	41.9%	(log.f64 (-.f64 x #s(literal -1 binary64)))
▶	63.7%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
▶	36.0%	#s(approx (log (+ 1 x)) (log.f64 x))
▶	64.5%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 52 to 52 computations (0% saved)

series82.0ms (4.8%)

Memory

12.5MiB live, 58.0MiB allocated; 4ms collecting garbage

Counts

13 → 21

Calls

Call 1

Inputs
(log1p.f64 x)
x
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (log.f64 x))
(log.f64 x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(log.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)

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

Calls

3 calls:

Time	Variable		Point	Expression
51.0ms	x	@	-inf	((log (+ 1 x)) x (log (+ 1 x)) (log (+ 1 x)) (log x) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 1 (log (- x -1)) (- x -1) -1)
24.0ms	x	@	0	((log (+ 1 x)) x (log (+ 1 x)) (log (+ 1 x)) (log x) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 1 (log (- x -1)) (- x -1) -1)
7.0ms	x	@	inf	((log (+ 1 x)) x (log (+ 1 x)) (log (+ 1 x)) (log x) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 1 (log (- x -1)) (- x -1) -1)

Time

Variable

Point

Expression

51.0ms

-inf

((log (+ 1 x)) x (log (+ 1 x)) (log (+ 1 x)) (log x) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 1 (log (- x -1)) (- x -1) -1)

24.0ms

((log (+ 1 x)) x (log (+ 1 x)) (log (+ 1 x)) (log x) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 1 (log (- x -1)) (- x -1) -1)

7.0ms

inf

((log (+ 1 x)) x (log (+ 1 x)) (log (+ 1 x)) (log x) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 1 (log (- x -1)) (- x -1) -1)

rewrite188.0ms (11%)

Memory

-0.2MiB live, 166.0MiB allocated; 102ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	319
0	99	280
1	558	264
2	2268	254
0	8940	249
1	17014	249

Stop Event

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

Counts

34 → 90

Calls

Call 1

Inputs
(log1p.f64 x)
x
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (log.f64 x))
(log.f64 x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(log.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (log (+ 1 x)) #s(hole binary64 x))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (log (+ 1 x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (* (+ (* -1/2 x) 1) x) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (* (+ (* -1/2 x) 1) x) #s(hole binary64 (* (pow x 2) (- (/ 1 x) 1/2))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* x (- (/ 1 x) 1/2))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* -1 (* x (- 1/2 (/ 1 x))))))

Outputs
(log1p.f64 x)
(log.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) x)))
(log.f64 (-.f64 x #s(literal -1 binary64)))
x
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (log.f64 x))
(*.f64 (log.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(.f64 (.f64 (neg.f64 x) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (neg.f64 x) x))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (.f64 x x))
(.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (neg.f64 x)))
(neg.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (neg.f64 x)))
(neg.f64 (+.f64 (neg.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))
(neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) x))
(neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x) x)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) x)
(-.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 x))
(-.f64 x (.f64 (.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) x)
(+.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)
(*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(.f64 x (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(log1p.f64 x)
(log.f64 (fabs.f64 (-.f64 #s(literal -1 binary64) x)))
(log.f64 (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(*.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log x) (log.f64 x))
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 x) 1) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (log (+ 1 x)) (log.f64 x))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x)))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) x)))
#s(approx (* (+ (* -1/2 x) 1) x) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (* (+ (* -1/2 x) 1) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 x) 1) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) x)))
#s(approx (+ (* -1/2 x) 1) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))

eval8.0ms (0.5%)

Memory: -24.8MiB live, 20.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 325 to 216 computations (33.5% saved)

prune3.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	66	6	72

Accuracy

100.0%

Counts

72 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	41.9%	(log.f64 (-.f64 x #s(literal -1 binary64)))
▶	63.7%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
✓	63.7%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
✓	36.0%	#s(approx (log (+ 1 x)) (log.f64 x))
✓	64.5%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 34 to 34 computations (0% saved)

series2.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

5 → 14

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x) x -1/2)
1.0ms	x	@	inf	((log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x) x -1/2)
1.0ms	x	@	0	((log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x) x -1/2)

rewrite162.0ms (9.5%)

Memory

-16.8MiB live, 135.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	254
0	76	232
1	498	217
2	2143	207
0	8918	178
1	19150	178

Stop Event

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

Counts

19 → 77

Calls

Call 1

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

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

eval7.0ms (0.4%)

Memory: 15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 368 to 238 computations (35.3% saved)

prune4.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	67	6	73

Accuracy

100.0%

Counts

73 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	41.9%	(log.f64 (-.f64 x #s(literal -1 binary64)))
✓	63.7%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
✓	63.7%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
✓	36.0%	#s(approx (log (+ 1 x)) (log.f64 x))
✓	64.5%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 59 to 55 computations (6.8% saved)

regimes10.0ms (0.6%)

Memory

-26.6MiB live, 18.6MiB allocated; 5ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (log.f64 x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
(log.f64 (-.f64 x #s(literal -1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)

Outputs
(log1p.f64 x)

Calls

3 calls:

5.0ms	x
2.0ms	(+.f64 #s(literal 1 binary64) x)
2.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.4%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
2.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
99.8%	2	`(+.f64 #s(literal 1 binary64) x)`
99.8%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
99.8%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes7.0ms (0.4%)

Memory

-34.2MiB live, 18.1MiB allocated; 3ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
1.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
1.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
98.6%	2	`(+.f64 #s(literal 1 binary64) x)`
98.6%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
98.6%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes8.0ms (0.4%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
1.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
1.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
98.6%	2	`(+.f64 #s(literal 1 binary64) x)`
98.6%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
98.6%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (log.f64 x))

Outputs
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (log.f64 x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.7%	2	`(+.f64 #s(literal 1 binary64) x)`
97.7%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
97.7%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.2%)

Memory

6.7MiB live, 6.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) x)

Outputs
#s(approx (log (+ 1 x)) x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.5%	1	`(+.f64 #s(literal 1 binary64) x)`
64.5%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
64.5%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch8.0ms (0.5%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.1270621106154427e-6	0.0009963606075127779

Samples

3.0ms

128×

valid

Compiler

Compiled 103 to 118 computations (-14.6% saved)

Precisions

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

ival-log1p: 1.0ms (91.8% of total)

adjust: 0.0ms (0% of total)

bsearch16.0ms (0.9%)

Memory

-35.2MiB live, 11.7MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.3145820016792998	4516.4485976329615

Samples

3.0ms

128×

valid

Compiler

Compiled 119 to 134 computations (-12.6% saved)

Precisions

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

ival-log1p: 1.0ms (73.3% of total)

adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.3145820016792998	4516.4485976329615

Compiler

Compiled 127 to 142 computations (-11.8% saved)

bsearch4.0ms (0.3%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.3145820016792998	4516.4485976329615

Samples

2.0ms

64×

valid

Compiler

Compiled 95 to 110 computations (-15.8% saved)

Precisions

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

ival-log1p: 1.0ms (147.7% of total)

adjust: 0.0ms (0% of total)

derivations137.0ms (8%)

Memory

36.8MiB live, 83.9MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 35 to 29 computations (17.1% saved)

preprocess50.0ms (2.9%)

Memory: -45.0MiB live, 52.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 54 to 42 computations (22.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample714.0ms (41.7%)

preprocess72.0ms (4.2%)

series2.0ms (0.1%)

rewrite159.0ms (9.3%)

eval53.0ms (3.1%)

prune3.0ms (0.2%)

series82.0ms (4.8%)

rewrite188.0ms (11%)

eval8.0ms (0.5%)

prune3.0ms (0.2%)

series2.0ms (0.1%)

rewrite162.0ms (9.5%)

eval7.0ms (0.4%)

prune4.0ms (0.2%)

regimes10.0ms (0.6%)

regimes6.0ms (0.4%)

regimes7.0ms (0.4%)

regimes8.0ms (0.4%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

bsearch8.0ms (0.5%)

bsearch16.0ms (0.9%)

bsearch1.0ms (0%)

bsearch4.0ms (0.3%)

derivations137.0ms (8%)

preprocess50.0ms (2.9%)

end0.0ms (0%)

Profiling