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)

sample580.0ms (40.8%)

Memory

20.4MiB live, 765.7MiB allocated; 152ms collecting garbage

Samples

369.0ms	8 256×	0	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-log1p: 127.0ms (96.2% of total)

ival-assert: 3.0ms (2.3% of total)

adjust: 2.0ms (1.5% of total)

Bogosity

explain72.0ms (5.1%)

Memory

-16.5MiB live, 127.3MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
167	-	-	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
0	-	-	`(+.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 #s(literal 1 binary64) x))`	sensitivity	167	1

Confusion

	Predicted +	Predicted -
+	167	0
-	0	89

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	167	0	0
-	0	1	88

Precision?

0.9940476190476191

Recall?

1.0

Freqs

test

number	freq
0	89
1	167

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-log1p: 9.0ms (61% of total)

ival-add: 4.0ms (27.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess318.0ms (22.4%)

Memory

-47.4MiB live, 186.4MiB allocated; 88ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	12	15
2	15	15
3	29	15
4	72	15
5	317	13
6	2799	13
7	6260	13
0	4	4
0	6	4
1	9	4
2	12	4
3	23	4
4	57	4
5	248	4
6	2194	4
7	5512	4
0	8656	2

Stop Event

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

Calls

Call 1

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

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.5%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 4 to 4 computations (0% saved)

series2.0ms (0.2%)

Memory

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

Counts

4 → 17

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

rewrite169.0ms (11.9%)

Memory

-0.7MiB live, 185.4MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	260
0	83	235
1	482	221
0	4608	188

Stop Event

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

Counts

21 → 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 x #s(hole binary64 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))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))

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

eval4.0ms (0.3%)

Memory: 9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 522 to 146 computations (72% saved)

prune5.0ms (0.4%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	1	42

Accuracy

100.0%

Counts

42 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 x)

Compiler

Compiled 2 to 2 computations (0% saved)

series1.0ms (0.1%)

Memory

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

Counts

2 → 13

Calls

Call 1

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

Calls

3 calls:

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

rewrite136.0ms (9.6%)

Memory

-11.7MiB live, 173.5MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	202
0	75	181
1	460	167
0	4453	160

Stop Event

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

Counts

15 → 18

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: 4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 249 to 76 computations (69.5% saved)

prune2.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	1	19

Accuracy

100.0%

Counts

19 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.3%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)

Outputs
(log1p.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
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)

regimes3.0ms (0.2%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) 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
39.5%	1	`(+.f64 #s(literal 1 binary64) x)`
39.5%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
39.5%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

simplify60.0ms (4.2%)

Memory

-32.0MiB live, 67.4MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	7	6
2	10	6
3	18	6
4	41	6
5	214	6
6	2135	6
7	5287	6

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))

Outputs
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))

derivations15.0ms (1%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 6 to 5 computations (16.7% saved)

preprocess47.0ms (3.3%)

Memory: -15.8MiB live, 31.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 20 to 18 computations (10% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample580.0ms (40.8%)

explain72.0ms (5.1%)

preprocess318.0ms (22.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series2.0ms (0.2%)

rewrite169.0ms (11.9%)

eval4.0ms (0.3%)

prune5.0ms (0.4%)

series1.0ms (0.1%)

rewrite136.0ms (9.6%)

eval2.0ms (0.1%)

prune2.0ms (0.2%)

regimes4.0ms (0.3%)

regimes3.0ms (0.2%)

simplify60.0ms (4.2%)

derivations15.0ms (1%)

preprocess47.0ms (3.3%)

end0.0ms (0%)

Profiling