Metrics for ln(1 + x)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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
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)

sample1.2s (41.1%)

Memory

23.6MiB live, 774.8MiB allocated; 186ms collecting garbage

Samples

878.0ms	8 256×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-log1p: 125.0ms (99% of total)

adjust: 2.0ms (1.6% of total)

Bogosity

preprocess164.0ms (5.8%)

Memory

-34.8MiB live, 56.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	15	15
2	26	15
3	72	15
4	392	13
5	3683	13

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.4%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 8 to 8 computations (0% saved)

series2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB 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)

rewrite303.0ms (10.7%)

Memory

41.5MiB live, 230.6MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	260
0	83	222
1	231	206
2	690	198
3	4425	194
0	8271	162

Stop Event

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

Counts

21 → 57

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 (+.f64 #s(literal 0 binary64) x))
(log1p.f64 x)
(log.f64 (-.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(*.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (neg.f64 x)) x)
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x))
(/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (neg.f64 x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 x (*.f64 x x)) x)
(/.f64 (fma.f64 (neg.f64 x) x (neg.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 x x x) x)
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(neg.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (neg.f64 x)))
(neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) x #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x #s(literal 0 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 0 binary64))
(fma.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) 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 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 #s(literal 1/2 binary64) x) (*.f64 x x))))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 x) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) (*.f64 x x))))
#s(approx (+ 1 x) x)
#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 1/2 binary64) x) (*.f64 x x))))
#s(approx (log (+ 1 x)) (-.f64 (log.f64 x) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) (*.f64 x x))))

eval39.0ms (1.4%)

Memory: -35.9MiB live, 9.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 216 to 146 computations (32.4% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	5	50

Accuracy

100.0%

Counts

50 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 x)
▶	42.4%	(log.f64 (-.f64 x #s(literal -1 binary64)))
▶	36.7%	(log.f64 #s(approx (+ 1 x) x))
▶	62.6%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
▶	63.8%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 50 to 50 computations (0% saved)

series3.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

13 → 42

Calls

Call 1

Inputs
(log1p.f64 x)
x
#s(approx (log (+ 1 x)) x)
(log.f64 #s(approx (+ 1 x) x))
#s(approx (+ 1 x) 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 x #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (* (+ (* -1/2 x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* -1/2 x) 1) x) #s(hole binary64 (* x (+ 1 (* -1/2 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 (log (- x -1)) #s(hole binary64 x))
#s(approx (log (- x -1)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (- x -1)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (- x -1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (- x -1) #s(hole binary64 1))
#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 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#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 (log (- x -1)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (- x -1)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (- x -1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (- x -1)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #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))))))
#s(approx (+ (* -1/2 x) 1) #s(hole binary64 (* -1 (* x (- 1/2 (/ 1 x))))))
#s(approx (log (- x -1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (- x -1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (- x -1)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (- x -1)) #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)) x (log (+ 1 x)) (log (+ 1 x)) (+ 1 x) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 1 (log (- x -1)) (- x -1) -1)
1.0ms	x	@	inf	((log (+ 1 x)) x (log (+ 1 x)) (log (+ 1 x)) (+ 1 x) (log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 1 (log (- x -1)) (- x -1) -1)
1.0ms	x	@	0	((log (+ 1 x)) x (log (+ 1 x)) (log (+ 1 x)) (+ 1 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

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite431.0ms (15.2%)

Memory

-8.1MiB live, 297.3MiB allocated; 150ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	622
0	128	505
1	287	473
2	771	457
3	3792	449
0	8295	439

Stop Event

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

Counts

55 → 180

Calls

Call 1

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

Outputs
(log1p.f64 (+.f64 #s(literal 0 binary64) x))
(log1p.f64 x)
(log.f64 (-.f64 x #s(literal -1 binary64)))
x
#s(approx (log (- x -1)) x)
(log.f64 #s(approx (- x -1) x))
#s(approx (- x -1) x)
#s(approx (log (- x -1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(.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 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(.f64 #s(literal 1 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 (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 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (neg.f64 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (fabs.f64 x) x)
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) #s(literal -1 binary64) x)
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) x)
(fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x) x)
(fma.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x) 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 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) x) x)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)) 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 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) 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 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)) x)
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) x)
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 x)) x)
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) x)
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 x))
(neg.f64 (fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x) #s(literal 0 binary64)))
(neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 0 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 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(log1p.f64 (+.f64 #s(literal 0 binary64) x))
(log1p.f64 x)
(log.f64 (-.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(.f64 x (.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(*.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (neg.f64 x)) x)
(/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (neg.f64 x))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 x (*.f64 x x)) x)
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 x x x)) (neg.f64 x))
(/.f64 (fma.f64 x x x) x)
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 0 binary64)))
(neg.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (neg.f64 x) #s(literal 0 binary64)))
(neg.f64 (+.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(neg.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (neg.f64 x)))
(neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) x #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x #s(literal 0 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 0 binary64))
(fma.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)
#s(approx (log (- x -1)) x)
#s(approx (log (- x -1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (log (- x -1)) (*.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 (- x -1)) (*.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)
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (* (+ (* -1/2 x) 1) x) x)
#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) #s(literal 1 binary64))
#s(approx (+ (* -1/2 x) 1) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (log (- x -1)) x)
#s(approx (log (- x -1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (log (- x -1)) (*.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 (- x -1)) (*.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 -1) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (log (- x -1)) (log.f64 x))
#s(approx (log (- x -1)) (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (- x -1)) (-.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) x) (*.f64 x x))))
#s(approx (log (- x -1)) (-.f64 (log.f64 x) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) (*.f64 x x))))
#s(approx (- x -1) x)
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#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 (log (- x -1)) (log.f64 x))
#s(approx (log (- x -1)) (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (- x -1)) (-.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) x) (*.f64 x x))))
#s(approx (log (- x -1)) (-.f64 (log.f64 x) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) (*.f64 x x))))
#s(approx (- x -1) x)
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (log (- x -1)) (log.f64 x))
#s(approx (log (- x -1)) (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (- x -1)) (-.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) x) (*.f64 x x))))
#s(approx (log (- x -1)) (-.f64 (log.f64 x) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) (*.f64 x x))))
#s(approx (+ (* -1/2 x) 1) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (log (- x -1)) (log.f64 x))
#s(approx (log (- x -1)) (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (- x -1)) (-.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) x) (*.f64 x x))))
#s(approx (log (- x -1)) (-.f64 (log.f64 x) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x) (*.f64 x x))))

eval109.0ms (3.9%)

Memory: -7.1MiB live, 38.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 696 to 441 computations (36.6% saved)

prune4.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	145	5	150

Accuracy

100.0%

Counts

150 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	42.4%	(log.f64 (-.f64 x #s(literal -1 binary64)))
✓	36.7%	(log.f64 #s(approx (+ 1 x) x))
▶	62.6%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
✓	63.8%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 24 to 24 computations (0% saved)

series3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

5 → 18

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) -1/2) x) #s(hole binary64 x))
#s(approx (+ (* (* x x) -1/2) x) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (* x x) #s(hole binary64 (pow x 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 (+ (* (* 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 (+ (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	@	0	((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	@	inf	((log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x) x -1/2)

rewrite216.0ms (7.7%)

Memory

1.2MiB live, 225.8MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	302
0	90	265
1	242	247
2	738	239
3	3970	235
0	8418	204

Stop Event

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

Counts

23 → 100

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

eval9.0ms (0.3%)

Memory: 22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 495 to 291 computations (41.2% saved)

prune27.0ms (0.9%)

Memory

-35.5MiB live, 20.0MiB allocated; 28ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	88	5	93

Accuracy

100.0%

Counts

93 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	42.4%	(log.f64 (-.f64 x #s(literal -1 binary64)))
✓	36.7%	(log.f64 #s(approx (+ 1 x) x))
✓	62.6%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
✓	63.8%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 48 to 45 computations (6.3% saved)

regimes7.0ms (0.2%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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
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)

regimes10.0ms (0.4%)

Memory

-28.3MiB live, 17.2MiB allocated; 10ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

6.0ms	(+.f64 #s(literal 1 binary64) x)
2.0ms	x
2.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.9%	2	`(+.f64 #s(literal 1 binary64) x)`
99.9%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
99.9%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes5.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) x)
(log.f64 #s(approx (+ 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)) (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))
(log.f64 #s(approx (+ 1 x) 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
98.3%	2	`(+.f64 #s(literal 1 binary64) x)`
98.3%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
98.3%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	2	`(+.f64 #s(literal 1 binary64) x)`
98.3%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
98.3%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

2 → 2

Calls

Call 1

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

Outputs
#s(approx (log (+ 1 x)) x)
(log.f64 #s(approx (+ 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
97.5%	2	`(+.f64 #s(literal 1 binary64) x)`
97.5%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
97.5%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB 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
63.8%	1	`(+.f64 #s(literal 1 binary64) x)`
63.8%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
63.8%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch10.0ms (0.3%)

Memory

-27.9MiB live, 18.1MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	4.534106338517671e-7	3.9437126516706144e-5

Samples

5.0ms

112×

valid

Compiler

Compiled 91 to 104 computations (-14.3% saved)

Precisions

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

ival-log1p: 1.0ms (104.6% of total)

adjust: 0.0ms (0% of total)

bsearch9.0ms (0.3%)

Memory

30.5MiB live, 30.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.9437126516706144e-5	9.057459591099056

Samples

4.0ms

144×

valid

Compiler

Compiled 124 to 141 computations (-13.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-log1p: 1.0ms (65.8% of total)

adjust: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory

-42.3MiB live, 3.4MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	3.9437126516706144e-5	9.057459591099056

Compiler

Compiled 133 to 150 computations (-12.8% saved)

bsearch3.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	3.9437126516706144e-5	9.057459591099056

Samples

1.0ms

48×

valid

Compiler

Compiled 97 to 114 computations (-17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0% of total)

ival-log1p: 0.0ms (0% of total)

derivations253.0ms (8.9%)

Memory

-2.8MiB live, 286.1MiB allocated; 76ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 34 to 29 computations (14.7% saved)

preprocess41.0ms (1.4%)

Memory: 28.0MiB live, 119.9MiB allocated; 11ms collecting garbage
Compiler: Compiled 53 to 42 computations (20.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.2s (41.1%)

preprocess164.0ms (5.8%)

series2.0ms (0.1%)

rewrite303.0ms (10.7%)

eval39.0ms (1.4%)

prune3.0ms (0.1%)

series3.0ms (0.1%)

rewrite431.0ms (15.2%)

eval109.0ms (3.9%)

prune4.0ms (0.2%)

series3.0ms (0.1%)

rewrite216.0ms (7.7%)

eval9.0ms (0.3%)

prune27.0ms (0.9%)

regimes7.0ms (0.2%)

regimes10.0ms (0.4%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch10.0ms (0.3%)

bsearch9.0ms (0.3%)

bsearch4.0ms (0.1%)

bsearch3.0ms (0.1%)

derivations253.0ms (8.9%)

preprocess41.0ms (1.4%)

end0.0ms (0%)

Profiling